What is the perimeter of the shape below given each square has a side length of 1 cm?
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Probability, NAP-I2-20
The arrow pictured below is spun once:
Which number is the spinner most likely to land on?
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Number and Algebra, NAP-I2-27
Curly, Larry and Moe share a bag of oranges.
Curly and Larry get
What fraction of the bag of oranges does Moe get?
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Number and Algebra, NAP-I2-26
Bennelong writes a number on a piece of paper and hides it.
He gives his friend the following clues about his number.
- The number is less than 500.
- The number has 30 tens.
- The digit in the ones place is one more than the digit in
the hundreds place.
What is Bennelong's number?
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Statistics, NAP-D2-24
Shanka collected data about his friends and recorded the results in the table below.
How did Shanka order his data?
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Geometry, NAP-D2-23
Two plans of a sports complex can be seen below.
Which designated sports area is closest to the corner of Bone Street and Depp Street?
| Karate | Fencing | Ping Pong | Yoga |
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Number and Algebra, NAP-D2-19
Which position is closest to
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Number and Algebra, NAP-D2-20
A service station sells bottles of water for $2 each.
It also has a special of 3 bottles for $5.
What is the lowest cost of 8 bottles of water?
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Measurement, NAP-D2-18
How much more water is need to fill the jug to 2 litres?
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Measurement, NAP-I2-25
Oliver's karate grading started at 9:15 am and went for
He then went straight home, which took him
What time did Oliver get home?
| 12:30 pm | 1:00 am | 1:00 pm | 1:15 am | 1:15 pm |
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Number and Algebra, NAP-I2-24
The first number in a pattern is 3.8.
Each number in the pattern is formed by subtracting 0.35 from the previous number.
What is the third number in this pattern?
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Geometry, NAP-I2-23
A piece of paper is placed along a line of symmetry of a flower.
How many petals does the flower have?
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Statistics, NAP-I2-22
The number of students that could solve a Rubik's cube in less than 2 minutes were counted at 7 different primary schools.
The results were recorded in the graph below.
How many students, in total, could solve the cube in less than 2 minutes?
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Number and Algebra, NAP-D2-15
Isla and Grace both bought a new towel and swimmers for summer.
They each spent the same amount of money.
Isla's towel cost $17.85 and her swimmers cost $22.15.
Grace's towel cost $20.90.
How much did Grace's swimmers cost?
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Geometry, NAP-D4-CA06
The leaf below gets caught in the wind, flips over and lands again.
Which shape below could the leaf look like when it lands again?
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Geometry, NAP-D4-CA04
One shape below has two acute angles and two obtuse angles.
Which shape is it?
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Measurement, NAP-B3-CA10
A water jug has a capacity of 3.65 L.
How many millilitres does the water jug hold when it is full?
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Measurement, NAP-B3-CA09
A resort has 4 pools.
Which pool has the largest surface area?
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Number, NAP-B3-CA07 SA
The arrow points to a position on the number line.
What number is at this position?
Number, NAP-B3-CA06
The area of New South Wales is 1 896 790 square kilometres.
What is the area rounded to the nearest thousand square kilometres?
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Number, NAP-B3-CA05
Two places are 5.4 cm apart on a map.
On the map 1 cm represents 4 km.
What is the actual distance between the two places?
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Algebra, NAP-C4-NC03
Leo creates a pattern of triangles using sticks as shown below.
The number of sticks in the first four figures are 1, 3, 6 and 10.
What is the number of sticks needed for Figure 5?
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Number, NAP-D3-CA15
Between 2007 and 2010, the number of people with type II diabetes in America increased by about
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Geometry, NAP-D3-CA13
This is a map of where John and Fiona live.
John lives on the corner of First Street and Farrar Street (map reference A2).
He walks 750 metres along Farrar Street to Fiona's house.
What is the map reference of Fiona's house?
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Measurement, NAP-C4-NC12
Which metric unit would a builder use to measure the area of a courtyard?
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Geometry, NAP-C4-NC11
Danny was eating dinner and after finishing he took a photo of his plate and fork.
Which of the following measurements is closest to the length of the fork?
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Number, NAP-C4-NC08
John weighs a small fish he caught in a net.
The net and fish together weighed 634 g.
The net by itself weighs 576 g.
What is the weight of the fish?
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Geometry, NAP-C4-NC07
The picture below shows a flower.
The picture is 2 cm wide. The actual flower is 40 cm wide.
What scale is used in the picture?
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1 cm represents 80 cm |
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4 cm represents 20 cm |
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1 cm represents 20 cm |
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1 cm represents 2 cm |
Measurement, NAP-C4-NC06
Kim bought these 5 items.
The total mass of Kim's items is closest to
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Algebra, NAP-C4-NC05
Australia Post use formulas to calculate the cost of boxes sent in the post to local destinations.
They calculate the size of the box by the formula:
size = width + height + length
The minimum postage applies to boxes with a size of 110 cm or less.
Which box below is oversized?
| Length (cm) | Height (cm) | Width (cm) | |
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40 | 40 | 20 |
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60 | 10 | 45 |
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50 | 20 | 40 |
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40 | 40 | 30 |
Number, NAP-C4-NC04
A buoy is in the ocean recording the waves passing by.
At sea level it measures 0 m. It moves above and below sea level.
Which list gives four sea level recordings arranged in order lowest to highest?
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0 m, −2 m, 4 m,−4 m |
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−2 m, −5 m, 0 m, 1 m |
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−5 m, 2 m, −3 m, 0 m |
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−5 m, −3 m, 0 m, 2 m |
Geometry, NAP-D4-NC11
The top view and front view of a building are shown.
Which could be the side view of this building?
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Algebra, NAP-D4-NC09
George starts doing push-ups to get stronger.
The table below shows the number of push-ups he does each training session.
The number of push-ups he does each week increases and follows the rule:
Double the last session's number of push-ups and deduct 3.
What is the number of push-ups George did in session 4?
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Algebra, NAP-D4-NC08
Jeremy sold ice creams out of his ice cream truck.
He drew the graph below to show how the number of ice creams he sells in a week is related to their price.
Which statement best describes the graph?
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As the ice cream price goes up, the number sold goes down. |
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As the ice cream price goes up, the number sold goes up. |
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As the ice cream price goes down, the number sold goes down. |
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As the ice cream price goes down, the number sold stays the same. |
Measurement, NAP-D4-NC07
Tran lives in Sydney, but his mother lives in Bangkok.
When it is 1 pm in Sydney, it is 9 am in Bangkok on the same day.
At 7 pm in Sydney, Tran calls his mother in Bangkok.
What was the time in Bangkok when Tran called his mother?
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Number, NAP-D4-NC05
Leo took $72 to the 2nd hand book shop and bought a number of books.
All the books cost the same amount.
Leo paid for all the books and had no money left.
Which of these could be the amount that one book cost?
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Number, NAP-D4-NC04
The results of a 400 metres running race final was recorded in the table below.
The time of the runner who came in 3rd place could be
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Geometry, NAP-D4-NC03
A cube can be made using plasticine balls and sticks as shown in the diagram below.
How many plasticine balls and sticks would be needed to make a triangular prism?
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6 plasticine balls and 9 sticks |
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6 plasticine balls and 6 sticks |
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4 plasticine balls and 8 sticks |
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4 plasticine balls and 6 sticks |
Measurement, NAP-D3-CA10
Eleanor and Rosalie measured the lengths of their smartphones.
How much longer is Rosalie's phone than Eleanor's?
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Number, NAP-D4-NC02
Which of the following changes is the smallest?
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Geometry, NAP-D4-NC01
Chevy drives from the car yard to the petrol station.
Which directions best describe his drive there?
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north-east, north, north-west then east |
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north-west, north, north-east then east |
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north-east, north, north-west, west |
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north-west, north, north-east then west |
Show Worked Solution
Geometry, NAP-D3-CA09
Which angle is closest in size to
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Number, NAP-D3-CA07
Mae Ling bought some chopsticks and drinking cups for a party.
Mae Ling worked out the cost as follows
How many packs of drinking cups did Mae Ling buy?
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Number, NAP-D3-CA05
Bronwyn receives $1.85 in change at the shop.
She receives only coins.
What is the least number of coins that she could receive?
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Geometry, NAP-D3-NC16
The top view and front view of a building are shown.
Which could be the side view of this building?
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Statistics, NAP-D3-NC14
Shanka collected data about his friends and recorded the results in the table below.
How did Shanka order his data?
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Number, NAP-D3-NC12
A service station sells bottles of water for $2 each.
It also has a special of 3 bottles for $5.
What is the lowest cost of 8 bottles of water?
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Algebra, NAP-D3-NC10
Jeremy sold ice creams out of his ice cream truck.
He drew the graph below to show how the number of ice creams he sells in a week is related to their price.
Which statement best describes the graph?
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As the ice cream price goes up, the number sold goes down. |
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As the ice cream price goes up, the number sold goes up. |
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As the ice cream price goes down, the number sold goes down. |
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As the ice cream price goes down, the number sold stays the same. |
Geometry, NAP-E3-CA14
Which of these shapes does not have exactly six faces?
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a cube |
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a trapezoidal prism |
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a square pyramid |
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a rectangular prism |
Number, NAP-E3-CA06
Roger had tests to check his health that are summarised in the table below.
| Test | Normal range | Roger's result |
| Resting heart rate | 60 to 95 | 92 |
| Blood sugar | 4.2 to 6.1 | 4.1 |
| Vitamin C | 0.4 to 1.7 | 0.5 |
For which tests were Roger's results within the normal range?
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Resting heart rate and blood sugar |
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Blood sugar and vitamin C only |
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Resting heart rate only |
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Resting heart rate and vitamin C only |
Measurement, NAP-D3-NC09
How much more water is needed to fill the jug to 2 L?
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Measurement, NAP-D3-NC08
Bob had a mini tennis court in his backyard, as shown in the diagram below.
What is the area of the mini tennis court?
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Number, NAP-E3-CA11
Davis wants to make 7 pavlovas.
Each pavlova needs 7 eggs. He has no eggs so he goes to the shop.
The shop sells eggs in cartons of 12.
How many cartons of eggs does Davis need to buy?
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Geometry, NAP-E3-CA09
A gymnast does a move where she makes 3 full somersaults and lands back on her feet.
By how many degrees has the gymnast rotated her body in this move?
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Geometry, NAP-E3-CA08
A sculpture is pictured from 3 different angles below:
The sculpture is in the shape of
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a rectangle and a circle. |
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two spheres. |
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a cylinder and a circle. |
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a cylinder and a sphere. |
Measurement, NAP-E3-CA03
A neighbourhood soccer oval is marked out with the dimensions shown below.
What is the area of the field?
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Number, NAP-B3-NC08 SA
A number is multiplied by itself and then 9 is added.
The answer is 18.
What is the number?
Geometry, NAP-B3-NC07 SA
Jeff folds this net to make a rectangular prism.
Which face is opposite of
Measurement, NAP-B3-NC06
Which container has the least liquid?
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Geometry, NAP-B3-NC04
Johnny cuts a paper shape in half.
The shape of each half is a
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