Which dotted line is a line of symmetry?
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Geometry, NAPX-p167252v02
A certain plane rises 2 metres for every 12 metres of its base length.
If it rises by 1.6 metres, what will be its base length?
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12.4 m |
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10.8 m |
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9.6 m |
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8.4 m |
Geometry, NAPX-p167252v01
A one-metre tall person casts a 4-metres shadow on level ground.
If a 1.8 metre tall person stands at the same position, how long will the shadow be?
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6.8 m |
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7.2 m |
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8.0 m |
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8.6 m |
Number, NAPX-p109105v02
William has a St Bernard puppy that weighs 25 kilograms.
After another 8 months, the St Bernard weighs 12% more.
How much does the dog weigh now?
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28 kg |
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30 kg |
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32 kg |
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37 kg |
Number, NAPX-p109105v01
Paul’s height is 146 centimetres when he was 15 years old.
On his 18th birthday he was 10% taller than when he was at 15 years old.
How tall was Paul when he was 18?
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160.6 cm |
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150.8 cm |
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168.2 cm |
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180.3 cm |
Statistics, NAP-L4-CA21
Mr Squiggle bought 13 pencils.
He bought:
- one packet of 10 pencils for $14.50, and
- another packet of 3 pencils for $5.65
What is the mean price of the 13 pencils?
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Number, NAP-L4-NC02
Malcolm uses a travel card to pay for his train trips.
At the beginning of the day, he has a balance of $20 on his travel card.
Malcolm makes 3 trips that day.
Each trip costs $2.40
Which sequence shows the balance on his card at different times on that day?
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$17.60, $15.20, $12.80 |
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$17.60, $15.20, $13.80 |
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$18.60, $16.20, $13.80 |
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$18.60, $16.20, $14.80 |
Geometry, NAP-L4-CA15
Craig is a town planner and needs to know the angles that streets make with each other.
He knows that Tombs Street and Horan Street are parallel.
What is the size of the shaded angle on the map?
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Number, NAP-L4-NC03
Santana is buying a guitar string.
Some of the strings are on sale.
Select the string that will be cheapest.
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Number, NAP-L3-NC05 SA
The weather bureau publishes the weekday maximum temperatures in the table below.
| Weekday | MON | TUE | WED | THU | FRI |
| Max Temp | 22.7° | 21.8° | 20.3° | 26.4° | 28.7° |
How much warmer was it on Thursday than on Monday?
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°C |
Geometry, NAP-L4-CA13
Kransky has a photo which is 25 cm wide and 10 cm high
He wants to enlarge it to make a poster with a width of 50 cm.
What will be the height of the poster?
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Algebra, NAP-L4-CA12
A kayak can be hired for different numbers of hours, as shown in the table below.
Select the answer that shows how to calculate the cost of hiring a kayak.
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number of hours multiplied by $30 |
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$10 for every hour plus an extra $30 |
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number of hours multiplied by $10 |
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$10 for every hour plus an extra $20 |
Show Worked Solution
Number, NAP-L3-NC03
Santana is buying a guitar string.
Some of the strings are on sale.
Select the string that will be cheapest.
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Number, NAP-L3-NC02 SA
Lola has 52 identical tiles.
She uses some of them to make the pattern shown below.
Each pattern needs 6 tiles.
How many complete patterns can Lola make?
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Number, NAP-L4-CA18
A little athletics club is established in a town.
In the first week, 5 girls and 6 boys joined the club.
In the second week, another 4 boys and some more girls joined the club.
The number of girls in the club was now double the number of boys.
How many girls joined the club in the second week?
| 7 | 15 | 17 | 20 |
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Number, NAP-L3-CA29
A little athletics club is established in a town.
In the first week, 5 girls and 6 boys joined the club.
In the second week, another 4 boys and some more girls joined the club.
The number of girls in the club was now double the number of boys.
How many girls joined the club in the second week?
| 7 | 15 | 17 | 20 |
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Geometry, NAP-L3-CA24
This shape will be translated 4 units to the right and 2 units up.
Where will the image of the point
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Number, NAP-L4-CA09
Ralph is reading the outside temperature on his skiing holiday.
What is the value of the point marked
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Algebra, NAP-L3-CA23
Each shape in this number sentence stands for a different number.
This number sentence is true:
Select the two number sentences below that must also be true.
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Number, NAP-L3-CA21
Zoey scored 88% on her Geography exam.
If she achieved the same mark on her French exam, which of these could have been her mark?
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Statistics, NAP-L3-CA20 SA
Johnson runs 10 laps of a 400 metre running track.
He records the time he takes for each lap in a graph.
For which lap number did Johnson record his fastest time?
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Geometry, NAP-L3-CA19
Veronique makes this object from paper.
Which net could Veronique have used to make this object?
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Geometry, NAP-L3-CA16
Pablo makes a sculpture.
Which two objects could Pablo have used to make the sculpture?
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cone |
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sphere |
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cylinder |
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pyramid |
Number, NAP-L3-CA14
Data was gathered on the country of origin of cowboys competing in a rodeo in Australia.
The data showed that in one particular year:
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of all the cowboys came from Canada. of all cowboys came from the USA.
Select the correct statement about the cowboys competing in the rodeo in that year.
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More cowboys came from the USA than from Canada. |
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More cowboys came from Canada than from the USA. |
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The number of cowboys from Canada and the USA was the same. |
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It is not possible to tell whether more cowboys came from Canada than the USA. |
Statistics, NAP-L3-CA12
Ms Granger measured and recorded the heights of all the students in her class, in centimetres.
She made a dot plot to show the heights of these 32 children.
What fraction of the students' heights are greater than 145 centimetres and less than 150?
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Statistics, NAP-L4-CA10
In Wadonga, there are 29 538 people.
Each day, the average person uses 168 litres of water.
Which of these gives the best estimate for the total number of litres of water used in Wadonga each day?
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Statistics, NAP-L3-CA10
In Wadonga, there are 29 538 people.
Each day, the average person uses 168 litres of water.
Which of these gives the best estimate for the total number of litres of water used in Wadonga each day?
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Number and Algebra, NAP-J2-37
A new hammock costs $155.
Clive has $79.
Which two number sentences can be solved to find the amount of money Clive still needs to buy the hammock?
Shade two bubbles.
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Measurement, NAP-J2-36
A company produces steel rods in various lengths.
The most common lengths are 850 millimetres, 80 centimetres, 180 centimetres, 0.855 metres and 1.5 metres.
Which steel rod is the longest?
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850 millimetres |
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80 centimetres |
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180 centimetres |
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0.855 metres |
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1.5 metres |
Number and Algebra, NAP-J2-35
Peter is selling tickets for a raffle.
Each ticket costs $1.50.
Peter sells a total of 60 tickets.
How much money does Peter collect for selling the tickets?
| $ |
Number and Algebra, NAP-J2-33
A cricket kit has white, pink and red cricket balls.
There are:
- 3 more white balls than pink
- 7 fewer pink balls than red
- 15 red balls
How many balls, in total, are in the kit?
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Number and Algebra, NAP-J2-26
A cookie recipe contains
Which of the following represents the same amount of sugar?
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Number and Algebra, NAP-J2-24
Jim earned $14 each time he mowed a lawn in his neighbourhood.
Jim mowed 3 different lawns 2 times each.
How much money did Jim earn?
| $ |
Number and Algebra, NAP-K2-34
Sabrina has 15 dresses.
Tabitha has three more dresses than Sabrina.
Which of these shows how to work out the total number of dresses they have altogether?
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Measurement, NAP-K2-31
Cassy drew this shape on some grid paper.
Select the two shapes with the same area as Cassy's shape.
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Measurement, NAP-K2-29
Matt is travelling from Newcastle to Hamilton Island.
He must take two flights, one from Newcastle to Brisbane and one from Brisbane to Hamilton Island.
Matt's flight schedule is shown.
What is Matt's total flying time?
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1 hour 15 minutes |
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1 hour 55 minutes |
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2 hours 10 minutes |
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2 hours 15 minutes |
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3 hours 10 minutes |
Measurement, NAP-K2-27 SA
What is the difference between the temperatures in Perth and Hobart?
Number and Algebra, NAP-K2-25
A hot air balloon is 25.2 metres high.
The length of the balloon section is 21.55 metres.
What is the height of the basket section?
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Number and Algebra, NAP-K2-24
A volleyball club receives 16 boxes containing 32 club jerseys each.
It then gives 8 jerseys to every team in the club and there are no jerseys left over.
How many teams are in the club?
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Number, NAP-K4-NC01
Mark is booking a hotel room online that has a rating of 3.7 out of 5.
The ratings of the other 4 hotel rooms he considered are listed below.
| ● Hotel 57's rating | 1.8 |
| ● Snuggy Hotel's rating | 1.85 |
| ● Castle Hotel's rating | 1.91 |
| ● Cross Hotel's rating | 2.5 |
Which hotel has a rating that is exactly half that of the hotel Mark booked?
| Hotel 57 | Snuggy Hotel | Castle Hotel | Cross Hotel |
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Number, NAP-K3-NC04
A hot air balloon is 25.2 metres high.
The length of the balloon section is 21.55 metres.
What is the height of the basket section?
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Algebra, NAP-K3-NC03
A soccer club receives 9 boxes containing 35 club jerseys each.
It then gives 15 jerseys to every team in the club and there are no jerseys left over.
How many teams are in the club?
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Probability, NAP-K3-CA28
A school canteen has two different types of sandwiches.
There are 14 chicken sandwiches and 11 vegemite sandwiches.
The canteen sells one sandwich to each of the first five students in line at lunch time.
The table shows the type of sandwich the first five students buy.
Dom is next in line and asks for a sandwich but doesn't care which type.
What is the chance that Dom is given chicken sandwich?
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Geometry, NAP-K3-CA24
Arjay folds this net into a cube.
He places the cube on the table so that the top face is the letter
Which face is touching the table?
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Algebra, NAP-K3-CA23
Leia does a writing course that charges a fee per session and a one off $80 administration fee.
The overall cost (
Leia attends 6 sessions in total.
How much does she pay?
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Number, NAP-K3-CA20
The table below compares the approximate populations of two countries.
| Country |
Approximate population (millions) |
| Cuba | 11.475 |
| Benin | 11.096 |
Approximately how many more people live in Cuba than in Benin?
| 37 900 | 47 900 | 379 000 | 479 000 |
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Statistics, NAP-K3-CA18
Quinn owns a cafe.
He wants to estimate the number of females that drink coffee at his store each morning.
Which method of data collection should he use?
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Count the number of females walking past the cafe each morning. |
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Survey the employees about how many females they estimate enter the cafe each morning. |
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Survey the bakery next door about the number of females they serve each morning. |
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Count the number of females that enter the cafe at different times of the morning. |
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Count the number of females that enter the cafe at different times throughout the day. |
Geometry, NAP-K3-CA17
Cameron is camping with 4 friends.
They have individual tents shown on the diagram below.
Brandon's tent is north-west of Cameron and Dan's tent is to Cameron's north.
What is Cameron's position?
| B2 | B6 | D4 | F2 | F6 |
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Measurement, NAP-K3-CA16
Matt is travelling from Newcastle to Hamilton Island.
He must take two flights, one from Newcastle to Brisbane and one from Brisbane to Hamilton Island.
Matt's flight schedule is shown.
What is Matt's total flying time?
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1 hour 15 minutes |
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1 hour 55 minutes |
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2 hours 10 minutes |
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2 hours 15 minutes |
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3 hours 10 minutes |
Number, NAP-K3-CA15 SA
Hawthorne buys 35 bags of cement for a job.
He uses
How many bags of cement does Hawthorne have left?
Number, NAP-K3-CA14
Harmony makes four tie-dye shirts for a total cost of $120.
She sells two of the shirts for $30 each and another for $45.
For what price must she sell the fourth shirt to achieve a profit?
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more than $15 |
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less than $15 |
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exactly $15 |
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a profit is not possible |
Statistics, NAP-K3-CA13
The subject choices in science at a high school are physics, chemistry and biology.
This Venn diagram shows the number of students who are studying each of the subjects.
How many of these students are studying at least two of these science subjects?
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Number, NAP-K3-CA12
Lance is competing in a cycling event.
On Stage 1, he had to cycle 90 kilometres.
On Stage 2, he had to cycle three times as far as Stage 1.
On Stage 3, he had to cycle one quarter as far as Stage 2.
Which expression could Lance use to work out the number of kilometres he needed to cycle for Stage 3.
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Number, NAP-K3-CA11 SA
Murray lives in Bundaberg where the temperature on a particular day was 39°C.
Murray's son lives in Salt Lake City, USA, and on the same day the temperature there was −15°C.
What was the temperature difference between the two towns on this day?
| °C |
Probability, NAP-K3-CA09
Spiro spins the arrow of this spinner 40 times.
He records the number of times the arrow lands on each number.
Which table records the most likely results?
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Statistics, NAP-K4-CA18
A local soccer club is surveying its players.
The survey aims to be representative of the genders in the club.
There are three times as many boys as girls in the club.
Which of the following samples would get the most representative results?
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all the boys |
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4 boys and 4 girls |
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4 boys and 12 girls |
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4 girls and 12 boys |
Algebra, NAP-K4-CA15
Surf Grommets charge an hourly rate for surfing lessons and add a one-off charge of $45 for insurance.
The overall cost
Mark has 11 hours of lessons with Surf Grommets.
How much does he pay?
| $86 | $330 | $375 | $825 |
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Measurement, NAP-K4-CA10
Adam is laying tiles that are shaped like a parallelogram.
The longer sides are 2.5 times the length of the shorter sides.
What is the perimeter of one of the tiles?
| 42 cm | 84 cm | 96 cm | 360 cm |
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Number, NAP-K4-CA09
Ziggy turns the hose on and fills up a bucket.
Which graph best represents the height of the water in the bucket over time?
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Number, NAP-K4-CA06
Onyx makes four dream catchers for a total cost of $160.
He sells two of the dream catchers for $40 each and another for $55.
For what price must he sell the fourth dream catcher to achieve a profit?
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more than $25 |
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less than $25 |
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exactly $25 |
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a profit is not possible |
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