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Vehicles and travel questions, answered

What a car costs to run, road user charges, fuel against electricity, trips and distances, and comparing a commute.

Every answer below is taken from the calculator or guide that works the number out, and each heading links back to it so you can put your own figures in. Nothing here is advice, and where a rate or threshold applies the page that owns the answer holds the current figure.

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NZ Car Insurance Calculator 2026

How much does car insurance cost in NZ?

For a 35-year-old in Auckland with a $20,000 vehicle, 5+ years no-claims, and $500 excess: comprehensive costs approximately $780-$1,000/year, third party fire and theft costs $280-$430/year, and third party only costs $160-$250/year. Younger drivers (under 25) pay 70-150% more. Wellington and Auckland are the most expensive locations. Rural areas are the cheapest. Vehicle value is the biggest single factor for comprehensive cover.

What is the difference between comprehensive and third party car insurance?

Comprehensive covers damage to your vehicle AND damage you cause to others, plus theft, fire, weather, and vandalism. Third party fire and theft covers damage you cause to others plus fire and theft of your vehicle, but NOT your own accident damage. Third party only covers damage you cause to others only, with no cover for your own vehicle. Comprehensive is recommended for vehicles worth more than $5,000. Third party only suits older, low-value vehicles where the premium would exceed the vehicle's worth.

How does the no-claims bonus work in NZ?

Most NZ car insurers reward claim-free years with premium discounts. After 5+ claim-free years, you can receive up to 35% discount on your premium. Making a claim typically resets or reduces your bonus. Some insurers offer excess-free windscreen claims and protected no-claims bonus (for an additional premium) that preserves your discount after a first claim. The discount applies to the base premium before other loadings.

Why do young drivers pay more for car insurance?

Drivers under 25 pay significantly higher premiums because they are statistically more likely to be involved in accidents. Waka Kotahi (NZ Transport Agency) crash statistics consistently show drivers aged 15-24 are over-represented in crash data relative to their share of the driving population. Insurance premiums for under-25s are typically 70-150% higher than for 30-50 year olds. Named driver policies (restricting who can drive) can reduce this loading.

Is car insurance compulsory in New Zealand?

No. Unlike many countries, car insurance is NOT legally required in New Zealand. ACC covers personal injury from car accidents (funded by levies on fuel and vehicle registration). However, ACC does NOT cover vehicle damage, property damage you cause to others, or your own vehicle damage. If you cause an accident and are uninsured, you are personally liable for all damage to the other party's vehicle and property. Third party cover (at minimum) is strongly recommended to protect against this liability.

What Your Commute Really Costs

What does commuting cost per kilometre in New Zealand?

Inland Revenue sets kilometre rates that represent the full cost of running a vehicle. For the 2025-26 income year the tier one rate is $1.20 a kilometre for petrol, $1.30 for diesel, $0.90 for a petrol hybrid and $1.22 for electric, covering the first 14,000 kilometres. Above that, tier two rates of 37, 38, 24 and 23 cents apply, because the fixed costs of the vehicle are treated as already recovered.

Can I claim my commute on tax in New Zealand?

No. Travel between home and work is private travel, not business travel, so it is not deductible. This is why a longer commute has to be paid out of after-tax income, and why a pay rise has to be substantially larger than the extra travel cost to be worth taking.

How many hours a year does a commute take?

A half-hour trip each way, five days a week for 46 working weeks, is 230 hours a year, close to six working weeks of unpaid time. An hour each way is 460 hours, or about eleven and a half working weeks.

Is fuel most of what a commute costs?

No, usually less than a third of it. The rest is depreciation, servicing, tyres, insurance and registration, which a car consumes whether it is moving or not. Judging a commute by the fuel gauge understates it by roughly three times.

Does switching to the bus save the whole cost of driving?

Only if you would otherwise not own the car. If the car stays in the driveway for weekends and other trips, switching your commute saves the marginal running cost of those trips rather than the whole cost of the vehicle, which is roughly a third as much.

Population Within a Distance Calculator NZ

How many people live within 10 km of central Auckland?

About 611,000 people in 2025, based on the Stats NZ modelled population grid measured from the centre of the Queen Street statistical area. Within 5 km it is about 173,000 and within 30 km about 1.68 million. These are straight-line distances, so the 10 km figure includes places across the Waitematā Harbour that are considerably further by road.

Are these figures counted people or estimates?

They are modelled estimates, not people counted. Stats NZ distributes its population estimates across a grid of one kilometre cells, and the values are fractional: a cell can hold 2.24 people. That is different from the Census, which counts. The estimates are reliable across a large area and get less reliable the smaller the area, which is why this calculator refuses to answer for a radius under two kilometres.

Why will it not show a figure for a small radius?

The grid has one kilometre cells, so a circle with a one kilometre radius covers about three of them. A single modelled cell would then be a third of the answer, and the figure would reflect how the model spread the population rather than who lives there. Below two kilometres, or fewer than eight contributing cells, no figure is shown.

Is this a drive time or a straight line?

A straight line, measured between grid cell centres. Road distance is longer, and where a harbour, a river or a range sits in the way it can be several times longer. A 10 km circle drawn on central Auckland or central Wellington includes a great deal of water and hillside that no road crosses.

Where does the population data come from?

The Stats NZ population grid, published through the Stats NZ geographic data service, at one kilometre resolution with estimates for 2022 through 2025. Summed across the whole country the 2025 cells come to about 5.33 million, which matches the published national population estimate.

NZ RUC Calculator 2026

How much are road user charges for an electric vehicle in NZ?

The RUC rate for light electric vehicles (under 3,500 kg) in New Zealand is $76.00 per 1,000 km (including GST). This is the same rate as light diesel vehicles. Plug-in hybrid electric vehicles (PHEVs) that use both petrol and electricity pay a reduced rate of $38.00 per 1,000 km because they also pay fuel excise duty when buying petrol. Standard (non-plug-in) petrol hybrids do not pay RUC as they pay fuel excise at the pump. An admin fee of $12.44 applies per online transaction, or $13.71 at an agent.

How often do I need to buy RUC?

You must buy RUC before your odometer exceeds the distance covered by your current licence. RUC is purchased in blocks of 1,000 km with no maximum. Since an admin fee applies to each transaction ($12.44 online), buying in larger blocks (such as 5,000 or 10,000 km) reduces your effective cost per kilometre. For example, buying 1,000 km costs $88.44 total ($76.00 + $12.44), which is 8.84c/km. Buying 10,000 km costs $772.44 ($760.00 + $12.44), which is 7.72c/km.

How does RUC compare to petrol tax?

Petrol vehicles pay approximately 70 cents per litre in fuel excise duty (plus GST and other levies). For a typical petrol car averaging 8 litres per 100 km, this works out to approximately $5.60 per 100 km in road tax. An EV or diesel vehicle paying RUC at $76 per 1,000 km pays $7.60 per 100 km. However, EV owners save significantly on fuel costs overall: charging an EV at home costs roughly 3 to 5 cents per km versus 12 to 18 cents per km for petrol, even after adding RUC.

What happens to unused RUC if I sell my vehicle?

Unused RUC distance stays with the vehicle when it is sold. The new owner benefits from the remaining distance already paid for. Many sellers advertise the remaining RUC as a selling point (for example, 'RUC paid to 150,000 km'). You cannot transfer RUC between vehicles. If you want a refund for unused RUC, you can apply to NZTA, but there are conditions and it is generally simpler to let the unused distance transfer with the vehicle.

Do I need a WoF if my RUC is overdue?

Yes, you still need a Warrant of Fitness (WoF). However, mechanics check your RUC label during inspection and may flag that your RUC has expired. While an overdue RUC does not automatically fail a WoF, driving without valid RUC is an offence that can result in an infringement fee. You should always ensure your RUC is current before the odometer exceeds the distance on your label. You can buy RUC online in minutes at nzta.govt.nz.

NZ Travel Insurance Calculator 2026

How much does travel insurance cost from NZ?

For a 30-year-old travelling to Europe for 2 weeks on comprehensive cover, expect approximately $130-$180. USA trips cost 30-40% more due to high US medical costs. A one-week trip to Australia or the Pacific is the cheapest at around $70-$100 comprehensive. Family policies typically save 40% compared to buying individual policies. Medical-only cover (no baggage or cancellation) is roughly half the price of comprehensive.

Does travel insurance cover pre-existing conditions?

Most NZ travel insurers exclude pre-existing medical conditions unless you declare them and they are accepted (which may attract an additional premium loading). Southern Cross Travel Insurance allows you to apply for pre-existing condition cover. World Nomads automatically covers some common conditions. Always declare pre-existing conditions honestly; failure to do so can void your entire policy if you need to claim.

Why is USA travel insurance more expensive?

US medical costs are extraordinarily high by international standards. A simple hospital admission in the US can cost $10,000-$50,000+. An emergency surgery or ICU stay can reach $100,000-$500,000+. Medical evacuation from the US to NZ costs $50,000-$150,000. Because of these costs, insurers charge 30-40% more for policies covering the USA. Unlimited medical cover (offered by Southern Cross) is strongly recommended for US travel.

Do I need travel insurance for Australia from NZ?

Yes. While the NZ-Australia reciprocal health agreement provides some access to Australian public hospitals for emergency treatment, it does NOT cover ambulance costs (which can be $1,000-$5,000+ in most Australian states), medical evacuation back to NZ, trip cancellation, lost baggage, or non-emergency specialist care. Medical evacuation from remote Australian locations can cost $50,000+. Travel insurance is strongly recommended even for short Australian trips.

What is the best NZ travel insurance provider?

Southern Cross Travel Insurance (SCTI) consistently rates highest in NZ comparisons due to unlimited medical cover, $25,000 luggage protection (vs $10,000 from most competitors), unlimited cancellation option, and WriteMark-certified policy documents. SCTI is NZ-owned (subsidiary of Southern Cross Health Society). Cover-More (Zurich group), Allianz Partners, and 1Cover offer competitive alternatives. World Nomads specialises in adventure and backpacker travel with wider activity coverage as standard.

Commute Cost Calculator NZ 2026

How much does commuting cost per kilometre in New Zealand?

Inland Revenue publishes kilometre rates that represent the cost of running a vehicle. For the 2025-26 income year the tier one rate is $1.20 a kilometre for petrol, $1.30 for diesel, $0.90 for a petrol hybrid and $1.22 for electric, applying to the first 14,000 kilometres. Above that the tier two rates are 37, 38, 24 and 23 cents. Tier one covers fuel plus a share of depreciation, servicing, tyres, insurance and registration; tier two covers running costs only, because the fixed costs are treated as already recovered.

Can I claim my commute as a tax deduction in New Zealand?

No. Travel between home and work is private travel, not business travel, so it is not deductible and no employer reimbursement of it is tax free by default. The IRD kilometre rates exist to reimburse business travel. This calculator uses them for a different purpose, as an official and annually maintained estimate of what a kilometre costs to drive.

Should I include the time my commute takes?

Time is shown separately as hours a year, because it is a real cost that is not money. If you want it in dollars you can supply your own hourly value and the calculator will show that figure alongside the cash cost, never added into it. Adding an assumed hourly rate to measured costs produces a total that looks precise and is largely made up.

How many weeks a year should I use?

Most full-time employees in New Zealand work about 46 weeks a year once four weeks of annual leave and eleven public holidays are taken out. Using 52 overstates a commute cost by roughly 12 percent. The calculator defaults to 46 and you can change it.

Is the Job Offer Worth the Commute? Calculator NZ 2026

How much extra salary do I need to cover a longer commute?

Enough that the after-tax increase exceeds the extra travel cost. Because a pay rise is taxed and a travel cost is not deductible, the gross rise has to be noticeably larger than the extra cost. At a 33 percent marginal rate, an extra $2,000 a year of travel needs about $2,985 of extra gross salary just to break even, before counting any of the extra hours.

Is commuting to a new job tax deductible in New Zealand?

No. Travel between home and work is private travel and is not deductible, whichever job it is for. That is why a longer commute has to be paid for out of after-tax income, and why the gross pay rise needed to cover it is larger than the cost itself.

Should the extra hours count in the decision?

They are shown separately, as extra hours a year and as an effective hourly rate on the time the new job costs you. An hour spent commuting is unpaid, so a rise that looks good annually can be poor once spread over the additional time. The calculator reports that rate rather than converting your hours to dollars at a number we invented.

What marginal tax rate should I use?

The rate that applies to the top of your income, not your average rate. For most New Zealand earners that is 30 percent between $48,000 and $78,100, 33 percent between $78,100 and $180,000, and 39 percent above that. The calculator defaults to 33 percent and you can change it.

Speed Calculator

What is the formula for average speed?

Average speed equals distance divided by time. Divide the total distance travelled by the total time taken, making sure both are in compatible units. The result tells you how much distance is covered per unit of time.

How do I convert metres per second to kilometres per hour?

Multiply metres per second by 3.6 to get kilometres per hour, because there are 3,600 seconds in an hour and 1,000 metres in a kilometre. For example, 10 metres per second is 36 kilometres per hour.

How fast is one knot?

One knot is one nautical mile per hour, which is 1.852 kilometres per hour or about 0.514 metres per second. Knots are used for speed at sea and in aviation.

Does this calculate average or instantaneous speed?

It calculates average speed over the whole trip, which is total distance divided by total time. It does not measure how fast you were going at any single instant, which can be higher or lower than the average.

Arrow Speed Calculator

How is arrow speed estimated from the IBO rating?

The IBO speed is measured at a 30 inch draw, 70 pound draw weight and a 350 grain arrow. This calculator adjusts from that baseline: about plus or minus 10 fps for each inch of draw length, plus or minus 2 fps for each pound of draw weight, and minus 1 fps for every 3 grains of arrow weight above 350, plus a further deduction for weight added to the string. These are the widely used rules of thumb.

How accurate is the estimate?

It is a good ballpark, usually within a few fps of a real reading, but not exact. Cam efficiency, let-off, string and cable condition, arrow spine, fletching and nick fit all shift the true speed. The only way to know your real arrow speed is to shoot through a chronograph.

What is a safe minimum arrow weight?

Most manufacturers set a floor of about 5 grains of total arrow weight per pound of draw weight, so a 70 pound bow should shoot at least around 350 grains. Shooting lighter than the rated minimum can damage the bow and void the warranty, so keep the arrow at or above 5 grains per pound.

Audiobook Speed Calculator

How do you work out audiobook listening time at a faster speed?

Divide the audiobook length by the playback speed. A 12 hour 30 minute book at 1.5x takes 12.5 hours divided by 1.5, which is about 8 hours 20 minutes. The time saved is the original length minus that figure, so 4 hours 10 minutes in this example.

Does listening at higher speed change the total time linearly?

Yes. Playback speed scales the running time directly: 2x halves it, 1.25x cuts it to four fifths, and 3x reduces it to a third. Comprehension is the real limit, not the maths, so most listeners settle between 1.25x and 2x depending on the narration.

What playback speed should I use for audiobooks?

Start at 1x and nudge the speed up in small steps until the narration feels quick but still clear. Many regular listeners are comfortable around 1.5x, while dense or technical books are easier at 1.1x to 1.25x. Fiction with lively narration can often go faster.

Bike Cadence and Speed Calculator

How do you calculate bike speed from cadence?

Multiply the gear ratio (chainring teeth divided by sprocket teeth) by the wheel circumference to get the metres you travel per pedal revolution, then multiply by your cadence in revolutions per minute and by 60 to get metres per hour, and divide by 1000 for kilometres per hour. At 90 rpm in a 50/15 gear on a 2111 mm wheel that is about 38 km/h.

What is a good cycling cadence?

Most road cyclists pedal comfortably at 80 to 100 revolutions per minute, with 90 rpm a common target for steady riding. A higher cadence in an easier gear reduces the force on your legs and knees, while a lower cadence in a harder gear puts more load on the muscles. The best cadence is the one you can sustain without straining.

What wheel circumference should I use?

Use the rolling circumference of your wheel and tyre in millimetres. A 700x25c road wheel is about 2111 mm, a 700x28c is about 2136 mm, and a 26 inch mountain bike wheel is about 2070 mm. For the most accurate result, measure your own rollout by marking the tyre, rolling one full turn, and measuring the distance.

Bike EMI Calculator NZ

How is a bike EMI calculated?

EMI (equated monthly instalment) is calculated using the standard reducing-balance loan formula: EMI = P x r x (1+r)^n divided by ((1+r)^n - 1), where P is the principal loan amount (bike price minus deposit), r is the monthly interest rate (annual rate divided by 12), and n is the loan term in months. This means each repayment covers a portion of interest on the outstanding balance plus a portion of the principal. As the balance reduces each month, the interest portion shrinks and more of each payment goes toward the principal.

What interest rate should I expect on a motorcycle loan in NZ?

Motorcycle and e-bike loan rates in New Zealand typically range from around 8% to 20% per annum depending on the lender, your credit history, and whether the loan is secured or unsecured. Dealer finance may offer promotional rates (sometimes as low as 0% for short terms) but often only for new bikes. Credit unions and banks generally offer competitive secured personal loan rates. Finance companies tend to charge higher rates for lower credit scores or used bike purchases. Always compare the total cost of the loan (EMI multiplied by the number of payments) rather than just the monthly repayment amount.

Is it better to take a shorter or longer loan term for a bike?

A shorter loan term means a higher monthly EMI but significantly less total interest paid over the life of the loan. A longer term reduces the monthly repayment but increases the total interest cost. For example, a $10,000 loan at 12% p.a. over 36 months costs roughly $1,957 in total interest. The same loan over 60 months costs roughly $3,347 in total interest. As a general guide, aim for the shortest term whose monthly repayment is comfortably affordable within your budget. Also consider whether the bike may depreciate faster than the loan balance reduces, which can leave you owing more than the bike is worth.

Bike Gear Calculator

What are gear inches on a bike?

Gear inches is the diameter in inches of the wheel a penny farthing would need to give the same gearing, worked out as the gear ratio times the wheel diameter in inches. A higher number is a harder, faster gear and a lower number is an easier climbing gear. Road bikes typically run from about 30 gear inches in the lowest gear to over 100 in the highest.

How is a bike gear ratio calculated?

The gear ratio is the number of teeth on the front chainring divided by the number of teeth on the rear sprocket. A 50 tooth chainring with a 15 tooth sprocket gives a ratio of 3.33, meaning the rear wheel turns 3.33 times for every full turn of the pedals.

What is development or rollout?

Development, also called rollout, is the distance the bike travels for one full turn of the pedals. It equals the gear ratio times the wheel circumference. It is often the most intuitive way to compare gears because it is measured directly in metres, so a 7 metre gear moves you 7 metres per pedal stroke.

Bike Pace Calculator

How do you calculate cycling pace?

Average speed is the distance divided by the time. Pace is the reverse, the time taken per unit of distance. For a 40 km ride in 1 hour 30 minutes, the speed is 40 / 1.5 = 26.67 km/h, and the pace is 90 minutes / 40 km = 2.25 minutes per km, which is 2 minutes 15 seconds per km.

Is cycling measured in speed or pace?

Cyclists usually talk in speed, kilometres or miles per hour, rather than pace, because riders cover ground quickly and speed is easier to read on a bike computer. Runners tend to use pace, minutes per km. This calculator gives you both so you can compare rides or line a ride up against a run or swim.

What is a good average cycling speed?

A casual rider on flat ground averages around 15 to 20 km/h, a fit recreational cyclist 20 to 28 km/h, and a strong club rider 28 to 35 km/h on the flat. Hills, wind, traffic and stops all pull the average down, so a ride with climbing will show a slower average than the same distance on the flat.

Bike Size Calculator

How do I work out my bike frame size?

Measure your inseam, the distance from the floor to your crotch, in centimetres. For a road bike, multiply it by 0.665 to get the frame size in cm. For a hybrid, multiply by 0.685, and for a mountain bike multiply by 0.226 to get the frame size in inches. An inseam of 80 cm gives a road frame of about 53 cm.

How do you measure your inseam for a bike?

Stand with your back to a wall, feet about 15 to 20 cm apart, and no shoes on. Place a book between your legs and pull it up firmly against your crotch as a saddle would sit, then measure from the top of the book down to the floor. That distance in centimetres is your cycling inseam.

What saddle height should I set?

A common starting point is the LeMond method: multiply your inseam in centimetres by 0.883 to get the saddle height measured from the centre of the bottom bracket to the top of the saddle. For an 80 cm inseam that is about 70.6 cm. Fine-tune from there for comfort and a slight bend in the knee at the bottom of the pedal stroke.

Boat Speed Calculator

What is hull speed?

Hull speed is the theoretical top speed of a displacement boat, the point where the wave the hull makes is as long as the hull itself and pushing faster takes a steep jump in power. It is estimated as 1.34 times the square root of the waterline length in feet, giving a speed in knots.

Why use waterline length and not overall length?

Hull speed depends on the length of hull actually in the water, because that sets the length of the bow and stern waves. Overhangs at the bow and stern add to the overall length but do not carry the wave, so the waterline length is the figure that matters.

Can a boat go faster than hull speed?

Yes. Planing hulls, multihulls and light racing boats can climb over their own bow wave and exceed hull speed, and even heavy cruisers surf faster down waves. Hull speed is a guide to the efficient cruising limit of a typical displacement hull, not a hard barrier.

Camping Trip Cost Calculator NZ

How much does a camping trip cost?

It depends on the campsite, distance and group size, but camping is generally cheap compared with other holidays. Once you add site fees, fuel, food and activities, this calculator gives you a tailored total and the cost per person for your trip.

How can I camp more cheaply?

Department of Conservation campsites and freedom camping areas are far cheaper than holiday parks, often just a few dollars a night or free, though with fewer facilities. Self-catering rather than eating out, and carpooling to share fuel, also cut the cost, which you can test here.

How do I split costs fairly in a group?

This calculator divides the total trip cost evenly by the number of people. For uneven splits, such as where some drive or bring gear, work out the total here and then use a ratio splitter to divide it according to each person's agreed share.

Car Affordability Calculator NZ

How much car can I afford?

Work backwards from the monthly amount you can spare, set aside the running costs (fuel, insurance, rego, maintenance), and use what is left for finance repayments. That repayment, plus your deposit, sets the car price you can afford without straining your budget.

Why include running costs?

A car is not just the purchase price. Fuel, insurance, registration, warrants and maintenance often add a few thousand dollars a year. Budgeting only for the loan repayment leaves you short on the true cost of ownership.

Should I buy with cash or finance?

Paying cash avoids interest, which is the cheapest way to own a car. If you finance, a larger deposit and a shorter term reduce the interest. This calculator includes a deposit and finance to show what fits your monthly budget.

Agreed vs Market Value Car Insurance Calculator NZ

What is the difference between agreed and market value?

Agreed value pays a set amount you and the insurer fix when the policy starts, regardless of later depreciation. Market value pays what the car is worth at the time of the claim, which the insurer determines and which falls as the car ages.

Which is better?

Agreed value gives certainty and usually a higher payout on a write-off, but the premium is often a little higher. Market value can be cheaper and is common for older cars where the values are close.

Does market value drop over the year?

Yes. A car insured for market value is worth less at the end of the policy year than the start, so a claim late in the year may pay noticeably less than you expect.

Car Crash Calculator

How do you calculate the force of a car crash?

The average force equals the mass of the car times its deceleration, and the deceleration is the impact speed squared divided by twice the crumple distance. A 1,500 kg car hitting a wall at 50 km/h and stopping over half a metre experiences an average force of about 289 kilonewtons.

Why does the crumple zone matter?

A longer crumple distance spreads the same change in speed over more space and time, which lowers the deceleration and therefore the force on the occupants. Doubling the distance the car takes to stop roughly halves the impact force, which is why modern cars are designed to fold up on purpose.

How many g is a serious crash?

Everyday braking is well under 1 g. A crash can reach tens of g in a fraction of a second: the example of a 50 km/h impact stopping in half a metre is close to 20 g. Survivable crashes with modern restraints can briefly exceed that, but injury risk climbs quickly with the peak g-force.

Caravan Ownership Cost Calculator NZ

What does it cost to own a caravan a year?

Beyond the purchase, a caravan costs registration, insurance, warrant, storage if you cannot keep it at home, servicing and the running costs of trips. Divided by the trips you take, a lightly used caravan can be expensive per holiday.

Is owning a caravan cheaper than renting?

It depends how often you use it. A caravan used many weekends a year can be good value; one used a few times can cost more per trip than hiring. Working out the cost per trip is the honest comparison.

What about storage?

If you cannot store a caravan at home, paid storage can be a significant yearly cost. Include it, as it applies whether or not you use the caravan.

Cash Conversion Cycle Calculator

What does the cash conversion cycle measure?

It measures the number of days between paying for inventory and collecting cash from the resulting sales. A shorter cycle frees up cash faster. A longer cycle ties up more working capital in the business.

Can the cash conversion cycle be negative?

Yes. A negative cycle means you collect cash from customers before you have to pay suppliers, which effectively funds your operations from supplier credit. This is common in some retail and subscription models and is generally seen as favourable.

How do I shorten my cash conversion cycle?

You can sell inventory faster, collect from customers sooner, or negotiate longer payment terms with suppliers. Improving any one of the three components lowers the cycle. Watch that stretching supplier terms does not damage relationships or cost you discounts.

Diesel RUC Calculator NZ

What is the diesel RUC rate in NZ?

Light diesel vehicles under 3,500 kg (such as utes, vans, and 4WDs) pay road user charges of $76.00 per 1,000 km, including GST. RUC is bought in blocks of 1,000 km from NZTA Waka Kotahi, so 5,000 km of RUC costs $380.00 in distance charges. An administration fee also applies to each transaction: $12.44 per licence online or via the NZTA app, and $13.71 at an agent counter. Diesel vehicles over 3,500 kg pay heavy vehicle RUC, which varies by weight and axle configuration.

Why do diesel vehicles pay RUC when petrol cars do not?

Diesel in New Zealand is sold without fuel excise duty built into the pump price, because diesel is also used off-road (for example in farming and industry) where road tax should not apply. To make sure diesel drivers still contribute to the National Land Transport Fund for the roads they use, they pay road user charges based on distance instead. Petrol vehicles pay their share through fuel excise duty of about 70 cents per litre included in the petrol price, so they do not pay RUC. The government has announced plans to eventually move all vehicles to RUC and remove petrol excise, but this is not finalised.

How much does RUC cost per year for a diesel ute or van?

At the light diesel rate of $76.00 per 1,000 km, a diesel ute or van driven the NZ average of about 11,500 km a year costs $874.00 in distance charges. Buying that distance in 5,000 km blocks online needs three transactions, adding 3 x $12.44 = $37.32 in admin fees, for a total of about $911 per year (roughly 7.9 cents per km). A higher-mileage work vehicle covering 30,000 km a year pays $2,280.00 in distance charges plus admin fees. Buying in larger blocks (5,000 or 10,000 km) reduces the number of admin fees and lowers your effective cost per kilometre.

Distance Calculator

What distance does this calculate?

It calculates the straight-line, or great-circle, distance between two points on the Earth's surface using their latitude and longitude. This is the shortest distance over the surface, not the road or driving distance, which is usually longer.

How do I find a coordinate?

In most map apps you can right-click a location to see its latitude and longitude as two numbers, for example -41.2865 and 174.7762 for Wellington. Enter those into the boxes. Southern latitudes and western longitudes are negative.

Why is this different from driving distance?

The great-circle distance is a straight line across the surface. Roads bend around terrain, coastlines, and towns, so the driving distance is always longer. Use a maps app for driving distance and time.

Distance Formula Calculator

What is the distance formula?

The distance between two points (x1, y1) and (x2, y2) is the square root of (x2 minus x1) squared plus (y2 minus y1) squared. This is a direct application of Pythagoras's theorem: the horizontal and vertical differences form the two legs of a right triangle and the straight-line distance is the hypotenuse.

How do you find the midpoint between two coordinates?

The midpoint is the average of the two x-coordinates paired with the average of the two y-coordinates: midpoint = ((x1+x2)/2, (y1+y2)/2). It is the exact centre of the line segment connecting the two points.

What does the slope between two points represent?

The slope (also called gradient) measures how steeply the line rises or falls as you move from left to right. It is calculated as (y2 minus y1) divided by (x2 minus x1), which gives the rise over the run. A positive slope means the line goes upward; a negative slope means it goes downward. A vertical line has an undefined slope.

Distance From Point to Plane Calculator

What is the formula for distance from a point to a plane?

For a plane given by ax + by + cz + d = 0 and a point (x0, y0, z0), the shortest distance is D = |a*x0 + b*y0 + c*z0 + d| / sqrt(a^2 + b^2 + c^2). This measures the length of the perpendicular line segment from the point to the plane, which is always the shortest possible distance between them.

What if the point lies on the plane?

If the point satisfies the plane equation exactly (a*x0 + b*y0 + c*z0 + d = 0), the numerator becomes zero and the distance is 0. This confirms the point lies directly on the plane rather than above or below it.

How do I find a, b, c and d if I only have three points on the plane?

Take two vectors formed from the three points (for example, point2 minus point1 and point3 minus point1), then find their cross product. The cross product gives the normal vector (a, b, c). Substitute one of the three points into ax + by + cz + d = 0 and solve for d. This calculator assumes you already have the plane equation in the form ax + by + cz + d = 0.

Distance to Horizon Calculator

How far away is the horizon?

For a person standing at the beach with eyes about 1.7 metres above sea level, the geometric horizon is roughly 4.65 km away. With atmospheric refraction included (light bends slightly around the Earth's curvature), the visible horizon is a little further, around 5.0 km. The distance increases with the square root of your height, so doubling your height only increases the horizon distance by about 41 percent, not double.

What formula is used to calculate distance to the horizon?

The basic geometric formula is d = square root of (2 x R x h), where R is the Earth's radius (about 6,371 km) and h is your eye height above the surface, in the same units. A more precise version accounting for atmospheric refraction multiplies the effective Earth radius by about 1.07 (a factor of 7/6), which slightly increases the calculated distance. In practical units, this simplifies to roughly d (km) = 3.57 x square root of h (metres) for the pure geometric case, or about 3.86 x square root of h (metres) with refraction included.

Does height above sea level really change how far you can see?

Yes. Because the Earth curves away from an observer, higher vantage points let you see further before the horizon drops below your line of sight. Someone standing at 1.7 m sees about 5.0 km. From the top of a 100 m tall building, the horizon extends to about 38.6 km. From a commercial aircraft cruising at 10,000 m, the horizon is over 385 km away. This is why lighthouses, watchtowers and observation decks are built as tall as practical.

EV Charging Cost Calculator NZ

Is it cheaper to charge an EV at home or at a public charger?

Home charging is usually much cheaper, because home power costs less per kWh than most public fast chargers. Public charging is convenient for trips but can cost two to three times as much per unit, which adds up over a year.

How do I work out my EV charging cost?

Multiply how much energy your car uses per 100km by your power price per kWh to get the cost per 100km, then scale to your yearly distance. This calculator compares home and public prices side by side.

How much can home charging save?

For a typical driver, charging at home rather than relying on public fast chargers can save hundreds of dollars a year. Charging overnight on an off-peak plan can save even more.

EV Home Charger Payback Calculator NZ

Is a home EV charger worth it?

A dedicated home charger costs more upfront than the standard plug, but charges faster and lets you use cheap off-peak power, saving versus public fast charging. Whether it is worth it depends on how much you drive and your power plan.

How does a home charger save money?

It lets you charge overnight on off-peak rates, which are far cheaper than public fast chargers and often cheaper than peak home rates. The saving per kWh, across your yearly driving, pays back the install cost over time.

How long is the payback?

It depends on your driving distance and the gap between your charging cost with and without the charger. Heavy drivers on a good off-peak plan pay it back fastest. This calculator works out the period for your situation.

EV Home Charger Payback Calculator NZ

Is a home EV charger worth it?

For most regular drivers, yes. Charging at home, especially overnight on a cheap plan, costs far less per kilowatt hour than public fast charging. The savings usually recover the install cost within a couple of years, after which home charging keeps saving money for the life of the car.

How is the payback period calculated?

It is the install cost divided by the annual saving. The annual saving is the difference between the public and home charging prices, multiplied by the energy your driving uses each year. More driving and a bigger price gap both shorten the payback.

Do I need a dedicated charger?

Not strictly. You can trickle charge from an ordinary wall socket, which is cheapest to set up but slow. A dedicated charger, or wallbox, charges much faster and more safely, which suits higher mileage. This calculator compares home charging cost against public charging regardless of the home method.

EV RUC Calculator NZ

How much RUC does an electric vehicle pay in NZ?

A light battery electric vehicle (BEV) under 3,500 kg pays road user charges at $76.00 per 1,000 km, including GST. This is the same rate as a light diesel vehicle. An admin fee is added to every purchase: $12.44 per licence online or via the NZTA app, or $13.71 at an agent counter. For example, driving 11,500 km a year (the NZ average) and buying in 5,000 km blocks online costs about $911 a year, which is roughly 7.9 cents per km once admin fees are included.

Since when do EVs have to pay road user charges?

Light electric vehicles were exempt from RUC from 2009 until the exemption ended on 1 April 2024. From that date, BEV owners have had to buy RUC in advance in the same way as diesel drivers, in blocks of 1,000 km at $76.00 per 1,000 km. The exemption was always intended to end once EVs reached about 2 percent of the light vehicle fleet.

Do EVs still save money after paying RUC?

In most cases yes. RUC adds about 7 to 8 cents per km, but charging an EV at home costs only about 3 to 5 cents per km, compared with roughly 12 to 18 cents per km in fuel for a typical petrol car. Adding RUC to home charging still leaves the total per-kilometre running cost of an EV well below petrol. A petrol car of similar size also pays fuel excise of about 70 cents per litre, which is already built into the pump price.

EV vs Petrol Running Cost Calculator NZ

Is an EV cheaper to run than petrol in New Zealand?

Charging an EV is usually much cheaper per kilometre than petrol, but EVs now pay road user charges, and the gap depends on your power price, petrol price and how far you drive. This calculator compares them for your own driving.

Do EVs pay road user charges in New Zealand?

Yes, electric vehicles now pay road user charges based on distance, which petrol cars cover through fuel tax instead. The calculator includes RUC so the comparison is fair.

What costs differ between EVs and petrol cars?

Energy or fuel is the main one, but servicing is often lower for EVs with fewer moving parts. Purchase price, depreciation and battery considerations also differ and are worth weighing alongside running cost.

First Car Total Cost Calculator NZ

What does a first car really cost in the first year?

Well beyond the purchase price. A young driver's first year includes insurance, which is often high for new and young drivers, registration, a warrant, fuel, servicing and tyres. Together these can add thousands on top of the car itself.

Why is insurance so high for young drivers?

Young and newly licensed drivers are statistically higher risk, so insurers charge more. Choosing a modest, safe car, a higher excess, and shopping around can reduce the premium, which is often the biggest running cost in year one.

How can a first car be cheaper to run?

A reliable, fuel-efficient, lower-powered car usually means cheaper insurance, fuel and maintenance. Spending a little more on a sound car can save on repairs, so the cheapest car to buy is not always the cheapest to run.

Fleet RUC Calculator NZ

How do I budget road user charges for a fleet?

Estimate the average annual distance each vehicle travels, multiply by the RUC rate per 1,000 km, then multiply by the number of vehicles in your fleet. For light vehicles the rate is $76.00 per 1,000 km (including GST). Add the admin fee that applies to each RUC purchase ($12.44 online per transaction). For example, a fleet of 5 light vehicles averaging 11,500 km each costs 5 x 11.5 x $76 = $4,370 in RUC, plus admin fees on each purchase. Buying larger distance blocks per vehicle reduces the number of transactions and therefore total admin fees.

Do heavy vehicles in my fleet pay different RUC rates?

Yes. The $76 per 1,000 km rate applies to light vehicles under 3,500 kg (EVs and light diesel). Heavy vehicles over 3,500 kg pay rates that vary by RUC type, gross vehicle weight and axle configuration, so a truck can cost several hundred dollars per 1,000 km. If your fleet mixes light and heavy vehicles, calculate the light vehicles here and use the Heavy Vehicle RUC Calculator for trucks, then add the two totals together.

How will eRUC change fleet RUC billing?

Electronic RUC (eRUC) uses an in-vehicle GPS device to record distance automatically and bill it, rather than pre-purchasing distance in 1,000 km blocks. Many fleets already use approved eRUC providers to avoid manual odometer purchases and to claim off-road distance more easily. The government is amending the Road User Charges Act 2012 to open the system to more private providers and to move more vehicles onto distance-based charging. Pricing and timing of the wider changes are not finalised, so treat the RUC rate in this calculator as an editable input and check nzta.govt.nz for current rates.

Fuel Consumption by Car Model Calculator NZ 2026

What does L/100km mean?

Litres per 100 kilometres is the standard New Zealand measure of fuel economy. A lower number is better. A car rated at 6.0 L/100km uses 6 litres of fuel to travel 100 kilometres, so a 600 kilometre trip would use about 36 litres.

Are these fuel figures exact for my car?

No. The model figures are indicative combined ratings to get you close. Real economy depends on the exact variant, engine, driving style and conditions. For your specific vehicle check the owner's manual, the fuel label, or the Gen Less and Rightcar databases, and you can type your own figure in.

How do I work out my real fuel use?

Fill the tank, note the odometer, drive normally, then refill and record the litres and kilometres. Litres divided by kilometres times 100 gives your real L/100km. Enter that figure here for the most accurate cost per trip or per year.

Fuel Consumption Calculator

How do I work out fuel consumption?

Divide the litres used by the distance in kilometres, then multiply by 100 to get litres per 100km. Fill the tank, drive, then fill it again and note the litres and the distance covered.

What is good fuel economy?

In New Zealand a small efficient car is around 6 litres per 100km, a typical car 7 to 9, and a large vehicle or ute often above 10. Lower is better.

How do I find the cost per 100km?

Multiply the litres per 100km by the fuel price per litre. At 8 litres per 100km and 2.80 dollars a litre, that is about 22.40 dollars per 100km.

Fuel Economy Converter

Why is mpg UK higher than mpg US for the same car?

An Imperial gallon (UK) is larger than a US gallon: 1 Imperial gallon equals 4.54609 litres while 1 US gallon equals 3.78541 litres. Because the UK gallon is about 20 percent larger, mpg UK will always be about 20 percent higher than mpg US for the same vehicle, even though the actual fuel consumption is identical.

How do I convert L/100km to mpg?

To convert L/100km to mpg US, divide 235.215 by the L/100km figure. To convert to mpg UK, divide 282.481 by the L/100km figure. For example, 7 L/100km equals 235.215 divided by 7 = 33.60 mpg US, or 282.481 divided by 7 = 40.35 mpg UK.

What is a good fuel economy for a car?

A typical modern petrol car achieves around 7 to 9 L/100km (26 to 34 mpg US). Fuel-efficient small cars and hybrids can reach 4 to 6 L/100km (39 to 59 mpg US). Larger SUVs and trucks often consume 10 to 14 L/100km. In New Zealand, fuel economy is generally quoted in L/100km on vehicle fuel economy labels.

Fuel Tax Breakdown Calculator NZ

How much of the petrol price is tax?

Often close to half. The price includes fuel excise duty, an ACC levy, an emissions charge and then GST on top of all of it. This calculator splits the pump price into the GST, the excise and levies, and the underlying fuel cost so you can see the share that is tax.

Is GST charged on the fuel excise?

Yes. GST is applied to the full pump price, which already includes the excise and levies, so you effectively pay tax on tax. The calculator extracts the GST as three twenty-thirds of the pump price, capturing this effect.

Why are the excise and levy figures editable?

Because they change over time with government policy and ACC levy reviews. The calculator pre-fills a typical total but lets you adjust it to the current cents-per-litre figure so your breakdown reflects today's rates rather than an out-of-date number.

Group Trip Splitter Calculator NZ

How do I split travel costs fairly in a group?

Add up everything everyone paid, divide by the number of people for an even share, then compare each person's share against what they actually paid. Those who paid more than their share are owed; those who paid less owe the difference.

What if people paid very different amounts?

That is exactly what this handles. Whoever fronted the flights or accommodation will have paid more than their share and is owed money back, while those who paid little owe their balance, so everyone ends up contributing equally.

Can I split costs unequally?

This calculator splits the total evenly across everyone. For uneven splits, such as couples sharing a room, you can adjust by entering combined amounts and counting people accordingly, or settle those items separately.

Heavy Vehicle RUC Calculator NZ

How is heavy vehicle RUC set in New Zealand?

Heavy vehicle RUC is set by the RUC vehicle type, which is a combination of the vehicle's gross weight and its axle configuration (the number and arrangement of axles). NZTA Waka Kotahi assigns each combination a numbered RUC type with its own rate per 1,000 km. Heavier vehicles and configurations that put more load on the road pay more. For example, a light vehicle (Type 1) pays $76.00 per 1,000 km, while a heavier two-axle truck (Type 6) pays $356.00 per 1,000 km. All rates include GST, and an admin fee applies to each licence transaction ($12.44 online or $13.71 at an agent).

Where do I find my truck's RUC type and rate?

Your RUC vehicle type number is printed on your current RUC licence (label), and you can also look it up in the full RUC rates table on the NZTA Waka Kotahi website. There are many more RUC types than the common presets in this calculator, so for an exact figure read the type and rate from your licence or the official NZTA table. If your type is not in the dropdown, choose the 'Other' option and enter your rate per 1,000 km manually to get an accurate annual cost.

Do heavy electric trucks pay RUC?

Heavy electric vehicles over 3,500 kg become liable for RUC from 1 July 2027. Until then, heavy EVs are not required to pay RUC. Heavy diesel trucks already pay RUC now based on their RUC vehicle type. From 1 July 2027, heavy EVs will pay RUC under the type that matches their weight and axle configuration, the same way diesel heavy vehicles do today.

Lease vs Buy a Car Calculator NZ

Is it cheaper to lease or buy a car?

It depends on the lease payments, finance costs, and how much value the car keeps. A low lease payment is not the whole story, because when you buy you own an asset you can sell. This calculator compares the net cost of each over the same period.

What is the real cost of buying a car?

The real cost of buying is the purchase price plus any finance interest, minus the resale value you keep at the end. Depreciation, the value the car loses, is the largest hidden cost of owning.

Does leasing include running costs?

Some leases bundle servicing and other costs while others do not, so check what is included. This calculator compares the core lease versus finance cost, so add any differences in what each includes.

Long Commute vs Close House Calculator NZ

Is a cheaper house further out worth the commute?

It depends on how big the price saving is and how much the extra commute costs you in money and time over the years you live there. A large saving can easily outweigh the commute; a small one may not, especially once you value your time.

Should I count my time as a cost?

Yes, if the commute eats hours you would otherwise value. Putting a dollar figure on your time, even a modest one, captures the real trade-off, because two extra hours a day on the road is a genuine cost beyond the petrol.

What commute costs should I include?

The extra fuel or public transport fares, any tolls or parking, and added wear on the car, all on top of what you would spend living closer. This tool focuses on the difference between the two locations.

Monthly RUC Billing Calculator NZ

How will monthly RUC billing work in New Zealand?

Under the planned post-pay eRUC model, your vehicle's distance would be recorded electronically and you would be billed for the kilometres you actually travel, settled monthly rather than pre-purchased. Your monthly bill is simply the distance you drove that month multiplied by the RUC rate (currently $76 per 1,000 km for light vehicles). For example, driving 960 km in a month at $76 per 1,000 km would produce a bill of about $72.96. This replaces the current system of buying distance in advance in 1,000 km blocks, and removes the per-purchase admin fee that applies today ($12.44 online). The reform is expected to be available through approved private providers from around 2027, and the exact pricing, fees and provider charges have not been finalised.

What is post-pay RUC?

Post-pay RUC means you pay for road user charges after you have driven the distance, rather than buying it in advance. Today, light EV and diesel drivers must pre-buy distance in 1,000 km blocks at $76 per 1,000 km, plus a $12.44 admin fee each time they purchase online. Post-pay flips this around: an electronic system records your distance and you settle a monthly invoice for the kilometres travelled. The Government has announced it will move all vehicles to RUC over time and amend the Road User Charges Act to allow private providers to offer modern, automated billing, including monthly post-pay. Until that system goes live, the current pre-paid block system continues to apply.

Who will provide monthly RUC billing?

The Government has signalled that approved private providers, not only NZTA Waka Kotahi, will be able to offer eRUC services once the Road User Charges Act is amended. These providers would supply the in-vehicle or app-based distance recording and handle the monthly billing, similar to how electronic RUC already works for many heavy trucks today. Several telematics and fleet-management companies already operate in this space for heavy vehicles. The detail of who is approved, what they can charge, and when light vehicles can sign up is still being worked through, with availability expected from around 2027. Check the Ministry of Transport and Beehive announcements for the latest position.

Motorbike Running Cost Calculator NZ

How much does a motorbike cost to run a year?

Beyond fuel, a motorbike costs registration (which includes a significant ACC levy), insurance, tyres, servicing and riding gear. Together these often add up to more than new riders expect, though usually less than running a car.

Why is motorbike registration expensive?

A large part of motorbike registration is the ACC motor vehicle levy, which is higher per vehicle than for cars because of the injury risk. This is why rego can be a notable yearly cost for riders.

Is a motorbike cheaper than a car?

Often yes on fuel and purchase price, but tyres wear faster, gear is an ongoing cost, and rego can be high. Add it all up before assuming a bike is the cheaper option.

Off-Road Fuel Excise Refund Calculator NZ

Can I claim back fuel tax on petrol used off road?

Yes, if the petrol was used off road for commercial purposes. NZTA lists eligible uses including exempted vehicles, road user charges licensed vehicles, commercial vessels, search and rescue vessels, and machinery and equipment used commercially such as chainsaws, water blasters and pumps. Fuel used in a vehicle driven on a public road is not eligible. Petrol, CNG and LPG can be claimed; diesel is a separate matter handled through road user charges.

What is the deadline for a fuel excise refund claim?

Quarters close on 31 March, 30 June, 30 September and 31 December, and a claim has to arrive within three months of the quarter closing or a 10 percent late penalty applies. Claims can be made for a period of two years, so older quarters remain available for a while, but each one has its own clock and they close one at a time.

How much is the refund per litre?

What is refunded is the excise duty and the GST charged on it. The Ministry of Transport states petrol excise duty as 70.024 cents per litre from 1 July 2020, and this page uses that figure as an editable default. NZTA does not publish a single refundable rate on its refunds page, and third party figures quoted around 76 cents could not be traced to a primary source, so they are not used here.

Petrol to RUC Calculator NZ

Will petrol cars have to pay RUC in New Zealand?

Yes, that is the plan. The government has announced it intends to move all light vehicles, including petrol cars, off fuel excise duty and onto road user charges (RUC), and to remove petrol excise once the transition is complete. The new electronic RUC system is expected to begin opening from around 2027. No firm switch-over date has been set, so petrol cars do not pay RUC yet. Until the change happens, petrol drivers keep paying road tax through the excise built into the price of fuel at the pump.

When will petrol excise duty end in New Zealand?

No firm end date for petrol excise has been confirmed. The government has said it wants to transition all light vehicles to RUC and remove fuel excise duty, with the new system expected to begin opening around 2027. The change is likely to be phased in rather than switched overnight, and the timing depends on legislation and the rollout of the new electronic RUC platform. Because the date is not locked in, this calculator lets you edit the RUC rate so you can model whatever figure applies when the change reaches your vehicle.

Will I pay more or less road tax under RUC?

It depends on how thirsty your car is and how far you drive. RUC is charged by distance (a default of $76 per 1,000 km), while excise is charged by fuel used (about 70c per litre). A fuel-efficient car that uses little petrol per kilometre tends to pay more under RUC, because RUC ignores efficiency. A thirsty car using more than roughly 10.9 litres per 100 km tends to pay less under RUC, because excise rises with fuel use while RUC does not. At the NZ average of around 8 litres per 100 km, most petrol drivers would pay a little more under RUC than they do now in excise.

Petrol vs EV Running Cost Calculator NZ

Are EVs cheaper to run than petrol cars?

Usually yes, even with road user charges. Electricity per kilometre costs far less than petrol, so for most drivers an EV's energy plus charges still comes in well below the petrol bill. This calculator shows the exact saving for your driving and prices.

Do electric vehicles pay road user charges in New Zealand?

Yes. Since April 2024, light EVs pay road user charges, currently $76 per 1,000 kilometres, the same rate as diesel vehicles. This calculator includes them in the EV's running cost so the comparison with petrol is fair.

How can I maximise EV savings?

Charge at home on an off-peak or EV electricity plan, where power is cheapest, and avoid relying on public fast chargers, which cost more. The lower your power price per kilowatt hour, the bigger your saving over petrol, which this calculator lets you test.

Petrol vs Public Transport Calculator NZ

Is it cheaper to drive or take public transport?

It depends on your distance, fuel use, parking and the fares. Driving costs fuel, parking and a share of running costs, while public transport is the fare. This calculator compares them for your commute.

What costs should I count for driving?

At least fuel and parking. For a fuller picture, add a share of running costs like maintenance and depreciation, since more driving wears the car faster.

Why compare commute costs?

Commuting is a regular cost that adds up over a year. Seeing the difference can reveal a meaningful saving from switching, or confirm that driving suits you.

PHEV RUC Calculator NZ

Why do PHEVs pay half the RUC rate of EVs and diesels in NZ?

Plug-in hybrid electric vehicles (PHEVs) pay a reduced RUC rate of $38.00 per 1,000 km, which is half the $76.00 rate for battery electric vehicles and light diesels. The reduction recognises that a PHEV also burns petrol, so it already contributes to road funding through fuel excise duty (about 70 cents per litre) every time it fills up at the pump. The lower RUC plus the excise it pays on petrol is intended to give a fairer overall contribution. PHEVs are RUC vehicle type 12 for vehicles between 1,001 and 3,500 kg. All RUC rates include GST.

What is the difference between a plug-in hybrid and a standard hybrid for RUC?

A plug-in hybrid (PHEV) can be charged from an external socket and run on battery power for a meaningful distance, so it uses less petrol and pays RUC at $38.00 per 1,000 km. A standard (non-plug-in) petrol hybrid, such as a regular Toyota Prius or Corolla Hybrid, cannot be plugged in and recharges its small battery only from the engine and braking. A standard hybrid runs entirely on petrol over its life, so it pays no RUC at all and contributes only through fuel excise at the pump. If you are unsure, check whether your vehicle has a charging port: a charge port means it is a PHEV and RUC applies.

How do I buy RUC for my plug-in hybrid in New Zealand?

You buy PHEV RUC the same way as any light vehicle: online at nzta.govt.nz or in the NZTA app, or at an NZTA agent. Enter your plate number and current odometer reading, then choose how many thousand kilometres to buy (minimum 1,000 km). An admin fee applies to each transaction, currently $12.44 online or in the app and $13.71 at an agent. Because the fee is charged per transaction, buying larger blocks such as 5,000 or 10,000 km lowers your effective cost per kilometre. Display the RUC label and buy more before your odometer passes the distance on the label.

Refractive Index Calculator NZ

What is refractive index?

It is the ratio of the speed of light in a vacuum to its speed in a material. A higher index means light travels more slowly in the material and bends more when entering it. It is always one or greater, since nothing travels faster than light in a vacuum.

How do I find it from the speed of light in a material?

Divide the speed of light in a vacuum, about 299,792,458 metres per second, by the speed in the material. The result is the refractive index. This calculator does it and also shows how much the light is slowed as a percentage.

Why does diamond sparkle so much?

Diamond has a very high refractive index, around 2.4, so it bends and slows light strongly and has a small critical angle for total internal reflection. Light entering a cut diamond bounces around inside and disperses into colours, producing its characteristic brilliance and fire.

Road Trip Cost Calculator NZ 2026

How do I work out fuel cost for a road trip?

Multiply the total distance by your fuel economy in litres per 100 kilometres, divide by 100 to get litres, then multiply by the price per litre. For a return trip, remember to count the distance both ways. This calculator does it for you and adds ferry and accommodation.

Should I include the Cook Strait ferry?

Yes, if your trip crosses between the North and South Islands. Add the total ferry cost for your vehicle and passengers in the ferry field. The calculator treats it as a one-off cost and includes it in the total and the per-person split.

How is the cost split between people?

The total of fuel, ferry and accommodation is divided by the number of travellers sharing the trip. This gives a simple, fair per-person figure. You can adjust the number of people to see how sharing a car and a room changes the cost for everyone.

RUC Refund Calculator NZ

Who can claim a RUC refund for off-road use in NZ?

You can claim a RUC refund from NZTA Waka Kotahi for distance your vehicle travelled off a public road, because RUC only funds the public road network. Common claimants are farmers, foresters, and contractors who drive on private land, paddocks, private roads, or off-road, as well as anyone whose vehicle ran on a dynamometer or was towed. You must keep accurate records, such as a logbook of off-road distance, to support the claim. The refund is calculated as off-road kilometres divided by 1,000, multiplied by your RUC rate (for example $76 per 1,000 km for a light diesel or electric vehicle).

How do I apply for a RUC refund and is there a minimum?

You apply directly to NZTA Waka Kotahi using their RUC refund form, supported by your records of off-road distance. There is generally a minimum claimable distance (a small claim may not be worth processing), and NZTA may deduct an applicable processing fee from the refund. Claims must usually be made within two years of the date you paid for the relevant RUC licence, so do not leave them too long. Keep your logbook, invoices, and any supporting evidence in case NZTA asks to verify the off-road distance.

How is a RUC off-road refund calculated?

The refund is your off-road distance divided by 1,000, multiplied by the RUC rate you paid. For example, 3,000 km driven off-road at $76 per 1,000 km gives a refund of $228 before any NZTA processing fee is deducted. If you paid a different rate (for example a heavy vehicle rate or a $38 PHEV rate), enter that rate instead. The figure is an estimate only; the amount NZTA pays depends on your verified records, the current rules, and any fee they apply.

RUC vs Petrol Cost Calculator NZ

Does RUC cost more than petrol tax in NZ?

On road tax alone, RUC usually costs a little more than petrol excise for the same distance. An EV or diesel paying RUC is charged $76 per 1,000 km, which is $7.60 per 100 km, plus a small admin fee ($12.44 online per transaction). A petrol car pays fuel excise of about 70 cents per litre, so at 8 L/100km that is roughly $5.60 per 100 km. For a typical 11,500 km year the RUC total is around $911 (with admin), versus about $644 of petrol excise. The gap is offset because EV and diesel running costs are usually well below petrol, so total cost of ownership still tends to favour the RUC vehicle.

What is fuel excise duty?

Fuel excise duty (FED) is a tax built into the price of petrol at the pump, currently about 70 cents per litre (GST inclusive). It is how petrol drivers contribute to the National Land Transport Fund, which pays for roads, public transport and road safety. Because petrol vehicles pay this excise on every litre, they do not pay road user charges. Diesel and electric vehicles pay little or no fuel excise, so they pay RUC instead to make their road contribution comparable.

Will petrol cars move to RUC?

The government has announced plans to move all vehicles, including petrol cars, onto road user charges and to remove fuel excise duty, with a transition targeted at around 2027. The Road User Charges Act 2012 is being amended to allow private providers to administer a more technology-enabled system. The change has been announced but not finalised, and the final pricing and start date are not yet confirmed. Until it happens, petrol cars continue to pay excise at the pump and only EV, diesel and plug-in hybrid drivers buy RUC.

School Zone Distance Calculator NZ 2026

Does distance decide if I am in a school zone?

No. New Zealand school enrolment zones are defined by specific street and boundary descriptions on the school's official zone map, not by distance or a radius. A home can be near a school but out of zone, so always check the school's published zone and confirm with the school.

How do I find the coordinates for my home and school?

Open an online map, right-click your home or the school, and the latitude and longitude will appear. Paste those numbers into the home and school fields here. The latitude is the first number and the longitude the second.

Why is the real distance to school longer?

This calculates the straight-line, as-the-crow-flies distance. Roads and footpaths rarely run directly between two points, so the actual travel distance is usually longer, which is why an approximate road distance is shown by adding around 30 percent.

Sound Attenuation Calculator NZ

How much does sound drop with distance?

For a point source in the open, the level drops by about six decibels each time the distance from the source doubles, following the inverse-square law. So moving from 1 metre to 2 metres loses about 6 decibels, and to 4 metres about 12.

Why 20 times the logarithm, not 10?

Sound level in decibels is referenced to sound pressure, which falls in direct proportion to distance, and the decibel scale for pressure uses twenty times the logarithm. This gives the familiar six-decibel drop per doubling, whereas an intensity-based ten-times scale gives the same result a different way.

Does this work indoors?

Not directly. Indoors, reflections from walls and surfaces keep the level up, so it falls more slowly than the open-air inverse-square law predicts. Line sources, like a steady stream of traffic, also fall off more slowly, around three decibels per doubling. This calculator assumes a point source in free space.

Speed Converter

How do I convert km/h to mph?

Multiply kilometres per hour by 0.621371 to get miles per hour. So 100 km/h is about 62 mph. The converter does this and the other directions at the same time.

What is a knot?

A knot is one nautical mile per hour, used in sailing and aviation. One knot is about 1.852 km/h. The converter includes knots alongside the common road and science units.

How do I convert m/s to km/h?

Multiply metres per second by 3.6 to get kilometres per hour. So 10 m/s is 36 km/h. To go the other way, divide km/h by 3.6.

Speedometer Error from Tyre Size Calculator NZ

Does changing tyre size affect the speedometer?

Yes. The speedometer is calibrated for the original tyre diameter. A larger diameter travels further per revolution, so you are actually going faster than the speedo shows; a smaller diameter does the opposite. The error is the percentage change in diameter.

Why does it matter?

A significant error means your true speed differs from what you read, which can lead to unintended speeding or odometer inaccuracy. It also affects fuel economy readings. Keeping tyre diameter close to standard keeps the speedo accurate.

How big a change is acceptable?

A small change of a percent or two is usually minor, but larger changes can be noticeable and may affect your warrant of fitness if tyres differ too much from specification. Check that any change keeps you within the rules.

Surface Speed to RPM Calculator

How do you convert cutting speed to RPM?

Spindle RPM equals 1,000 times the cutting speed in metres per minute, divided by pi times the diameter in millimetres. The diameter is the part diameter for turning, or the tool diameter for milling and drilling.

What cutting speed should I use?

Cutting speed depends on the material being cut and the tool material. Manufacturers publish recommended surface speeds for combinations such as carbide on steel or high-speed steel on aluminium. Enter the recommended value and the calculator gives the matching RPM.

Does the diameter mean the tool or the part?

For turning on a lathe, use the diameter of the workpiece. For milling and drilling, use the diameter of the cutter or drill. The surface speed is the speed at the cutting edge, which is what tool life and finish depend on.

Towing Payload Calculator NZ

What towing limits must I stay within?

Two key ones: your vehicle's maximum braked or unbraked towing capacity, which the trailer plus its load must not exceed, and the maximum towball download, the downward weight the trailer puts on the towbar. Both are set by the manufacturer.

What is towball download?

It is the weight the trailer's coupling presses down on the towball, usually around 10 percent of the trailer weight when loaded correctly. Too little makes the trailer sway; too much overloads the rear of the tow vehicle. Stay within the towball limit.

Does the load in my vehicle matter too?

Yes. The towball download counts toward your vehicle's payload, and you must also stay within the gross combined mass, the total of the loaded vehicle and trailer. This tool checks the towing and towball limits; check your vehicle's other ratings too.

Trip Fuel Cost Calculator NZ

How do I work out the fuel cost of a trip?

Multiply the distance by your fuel economy in litres per 100 kilometres and divide by 100 to get the litres used, then multiply by the fuel price per litre. For a return trip, double the distance first.

What fuel economy figure should I use?

Use your real-world figure if you know it, since open-road and town driving differ. Many cars sit around 7 to 10 litres per 100 kilometres, with thirsty vehicles higher and hybrids lower. Your trip computer or fill-up records give the best number.

Can I split the cost with passengers?

Yes, this tool divides the fuel cost by the number of people sharing the ride, handy for working out a fair contribution for a road trip or carpool. It covers fuel only, not wear, tyres or other running costs.

Typing Speed Calculator

What is a good typing speed in WPM?

The average touch typist types at around 50 to 60 words per minute (WPM). Professional typists and data entry workers typically achieve 65 to 75 WPM. Speeds above 80 WPM are considered fast, and competitive typists can exceed 120 WPM. For most office work, 40 to 60 WPM is sufficient.

How is net WPM calculated?

Net WPM equals gross WPM minus a penalty for errors. The standard formula subtracts one WPM for each uncorrected error. If you typed 250 words in 5 minutes with 2 errors, gross WPM is 50 and net WPM is 50 minus 2 divided by 5, which equals 49.6. This calculator applies that formula.

What does CPM mean in typing?

CPM stands for characters per minute. It counts every keystroke including spaces, punctuation and letters. Because words vary in length, CPM is a more granular measure of raw typing throughput. The conversion factor between WPM and CPM varies, but a common assumption is 5 characters per word, so CPM is approximately WPM times 5.

Typing Speed Test NZ

How is words per minute calculated?

The standard method counts every five characters as one word, so the length of individual words does not skew the result. The number of correct characters is divided by five to get words, then divided by the minutes elapsed to give words per minute.

What is a good typing speed?

An average typist manages around 40 words per minute. Around 60 to 70 is considered fast, and professional typists often exceed 80. Accuracy matters too: a slightly slower speed with very few errors is more useful than a fast speed riddled with mistakes.

Does accuracy affect my score?

Yes. Only characters that match the passage count toward your words per minute, so mistakes reduce your effective speed. The accuracy figure shows the share of what you typed that was correct, encouraging clean typing rather than racing and making errors.

Typing Speed (WPM) Test Calculator

How is typing speed (WPM) calculated?

Words per minute (WPM) is calculated by dividing the total number of characters you type by 5 (the standard word length), then dividing by the number of minutes elapsed. The formula is: WPM = (total characters typed / 5) / minutes. This gross WPM measures raw speed. Net WPM subtracts errors: Net WPM = Gross WPM - (errors / minutes). Accuracy is calculated as (correct characters / total characters typed) x 100.

What is a good typing speed?

The average person types between 40 and 60 WPM. Office workers typically type 60 to 80 WPM. Professional typists and data entry specialists commonly reach 80 to 100 WPM. Competitive typists and some skilled professionals can exceed 100 WPM. A speed of 65 WPM with 95% accuracy is generally considered sufficient for most administrative and office roles. Speed above 80 WPM with high accuracy puts you in the top tier of typists.

How can I improve my typing speed?

The most effective way to improve typing speed is to practise touch typing, which means typing without looking at the keyboard. Learn the home row (ASDF JKL;) and keep your fingers on it as a base position. Focus on accuracy first: errors slow you down more than hesitation. Practise regularly in short sessions of 10 to 15 minutes rather than occasional long sessions. Use all your fingers and avoid reinforcing bad habits like using only two fingers. Consistent daily practice over weeks typically yields measurable improvements.

Tyre Size Comparison Calculator NZ

How do I read a tyre size?

A size like 205/55R16 means a 205 millimetre width, a sidewall height that is 55 percent of the width, and a 16 inch rim. The overall diameter is the rim diameter plus twice the sidewall height, which is what determines rolling distance.

Why compare overall diameter?

Two tyres with different widths and profiles can have a similar overall diameter, which keeps your speedometer accurate, or quite different diameters, which throws it off. Matching the diameter when changing tyre size keeps the speedo and gearing close to standard.

How much difference is acceptable?

Keeping the overall diameter within a couple of percent of standard is generally recommended, so the speedometer stays accurate and the change does not affect handling or your warrant of fitness. Larger changes need more care.

Used Car Total Cost of Ownership Calculator NZ 2026

What is total cost of ownership for a car?

It is everything the car costs you over the time you own it: purchase price plus running costs (fuel, rego, warrant, insurance, servicing, repairs) minus what you get back when you sell. It is the honest cost of motoring, well beyond the sticker price.

Why does depreciation matter so much?

Depreciation, the fall in the car's value, is often the largest single cost of ownership, especially on newer cars. A car that holds its value can be cheaper to own than a cheaper car that depreciates fast, which is why this calculator separates it out.

How can I reduce my cost of ownership?

Choose a reliable, fuel-efficient car that holds its value, keep it well maintained, and hold it for longer to spread the purchase cost. Comparing two cars on total cost of ownership, rather than purchase price alone, usually reveals the cheaper one to own.

Vehicle Logbook Calculator NZ

How do I work out business use percentage?

Divide your business kilometres by your total kilometres travelled in the period. For example, 8,000 business kilometres out of 15,000 total is about 53 percent. That percentage is then applied to your vehicle running costs to find the deductible business share.

How long must I keep a logbook?

A representative logbook kept for at least 90 consecutive days sets your business use percentage, which you can then apply for up to three years, as long as your pattern of use does not change significantly. Outside that, you would need to keep a full record or use the kilometre-rate method.

What costs can I apply the percentage to?

All your vehicle running costs, including fuel, servicing and repairs, insurance, registration and depreciation. The business use percentage is applied to the total to find the deductible amount. This calculator multiplies your running costs by the business percentage for you.

Vehicle Running Cost Calculator NZ

What does it really cost to run a car in New Zealand?

Far more than fuel. Registration, warrant of fitness, insurance, servicing, tyres and depreciation all add up. This calculator brings them together to show a realistic annual and per-kilometre cost.

What is the biggest cost of owning a car?

For many cars, depreciation, the value the car loses over time, is the largest cost, often bigger than fuel. Including it gives a true picture of ownership cost.

How do I work out cost per kilometre?

Add up all your annual costs and divide by the kilometres you drive in a year. This calculator does it for you, which is useful for comparing cars or deciding whether a trip is worth driving.

Walking Steps to Distance Calculator NZ

How do I convert steps to distance?

Multiply your number of steps by your stride length, the distance covered in one step. With stride in metres, dividing by 1,000 gives kilometres. An average stride is around 0.7 to 0.8 metres, longer for taller people and faster walking.

What is the average stride length?

For walking, a rough average is about 0.76 metres, though it varies with height and pace. For a more accurate figure, measure a known distance, count your steps, and divide the distance by the steps.

How many calories do steps burn?

A common rough estimate is around 0.04 calories per step, so 10,000 steps is roughly 400 calories, but it depends on your weight, pace and terrain. Treat the calorie figure as an approximation only.

Wave Speed Calculator

What is the wave speed formula?

The wave speed formula is v = f times lambda, where v is the wave speed in metres per second, f is the frequency in hertz (cycles per second), and lambda is the wavelength in metres. It can be rearranged to find any of the three variables: f = v divided by lambda, or lambda = v divided by f. The period T is the reciprocal of frequency: T = 1 divided by f.

What is the speed of sound in air?

At 20 degrees Celsius, the speed of sound in dry air is approximately 343 m/s (about 1235 km/h). It increases with temperature at roughly 0.6 m/s per degree Celsius. The speed of sound is much lower in air than in water (about 1480 m/s) or steel (about 5000 m/s), because gases are less stiff than liquids or solids.

Why does wave speed stay constant while frequency changes?

The speed of a wave through a given medium is determined by the properties of that medium (density, elasticity, or for light, permittivity and permeability). It does not change when the frequency changes. Instead, when a wave moves from one medium to another, its frequency stays constant (because the source is unchanged) but its wavelength changes to match the new speed: lambda = v divided by f. This is why light bends (refracts) when it enters glass: its speed and wavelength change while its frequency stays the same.

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Answers are gathered from the calculators and guides listed above and are general information, not advice. Last reviewed 2026-09-07. See also the finance glossary, the guides and the reference data.