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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Number and Algebra, NAP-B3-NC03
Which one of these has the same value as
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Statistics, NAP-C3-CA09
This table shows the number of people who visited a war memorial on weekdays over 4 weeks.
Which day had the greatest total attendance over the 4 weeks?
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Geometry, NAP-C3-CA08
This is part of the map of Hunter Street.
Jo Jo lives at number 2 which is the 1st house on the East side.
What is the number of the 16th house on Hunter Street on the east side?
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Measurement, NAP-C3-CA07
What is the best estimate for the mass of this basketball?
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Number, NAP-C3-CA06 SA
Geoffrey buys 4 peaches and 1 watermelon from a fresh fruit market.
How much does Geoffrey pay altogether?
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Measurement, NAP-F3-CA12
Michael cut a diagonal into a rectangular piece of wood.
What is the missing length?
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Number, NAP-F3-CA08
The shaded area on this graph shows how much of a computer file has loaded.
What percentage of the file has loaded?
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Geometry, NAP-F3-CA04
This diagram is the net of a
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square pyramid |
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triangular pyramid |
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triangle |
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triangular prism |
Measurement, NAP-E3-NC13
Tenzing started his trek at 5:30 am.
He arrived at his destination
At what time did he arrive at his destination?
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Geometry, NAP-E3-NC10
Which of these designs looks identical after a quarter turn?
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Geometry, NAP-E3-NC09
Irene placed three identical tiles together at their edges.
She drew around the outside to make this new shape.
Which of these could have been the shape of her tiles?
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Number, NAP-F3-CA10
The number 0.67 is between
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Algebra, NAP-F3-CA07
The rule below results in the following table.
What is the missing number in the table?
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Measurement, NAP-F3-CA06
Two sides of a triangle measure 6 cm and 12 cm.
Which one of these statements about the length of the third side is true?
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Its length is 6 cm. |
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Its length is less than 6 cm. |
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Its length is greater than 18 cm. |
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Its length is greater than 6 cm but less than 18 cm. |
Number, NAP-F3-CA05
Freddie watches television for 5 hours each day.
What fraction of the day is Freddie not watching television?
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Geometry, NAP-F3-CA03
There are seven cubes in this 3D puzzle.
The puzzle is completely dipped into orange paint.
When the cubes are separated, how many faces will be orange?
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Geometry, NAP-F3-NC12
Kimoko cut a regular pentagon into several identical pieces with no paper left over.
Which of these could be the shape of the pieces?
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