Jane painted some hexagons in the four figures pictured below.
All hexagons are the same size.
Which of these figures has the largest area that is painted green.
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Number, NAPX-p116838v04
In a bakery Michelle bought one slice of cake, one donut and a croissant.
She gave the cashier $10.00.
How much change should Michelle receive?
| $5.10 | $5.60 | $5.80 | $6.00 |
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Number, NAPX-p116838v03
Alexander went shopping and bought the following items.
He gave the cashier $50.
How much change should Alexander receive?
| $17.00 | $18.20 | $31.80 | $33.00 |
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Measurement, NAPX p124557v03
Timothy started with 53 millilitres of oil in a beaker.
He saw that there was some unused oil in a test tube and returned it to the beaker.
How much of the chemical solution was poured int0 the test tube?
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13 millilitres |
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23 millilitres |
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27 millilitres |
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37 millilitres |
Measurement, NAPX p124557v02
A chemist started with 685 millilitres of a solution.
He then poured some of the solution into a test tube.
How much of the chemical solution was poured into the test tube?
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90 millilitres |
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135 millilitres |
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145 millilitres |
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185 millilitres |
Statistics, NAPX-p116802v04
In a neighborhood 10 villagers were asked if how many pets they own.
The results were: 3, 2, 1, 1, 1, 4, 2, 4, 5, 2
Select the dot plot that displays the data recorded
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Statistics, NAPX-p116802v03
10 people were asked how often they went to the doctor in the last 12 months.
Their responses were: 2, 3, 3, 4, 1, 2, 5, 1, 1, 2
Choose the dot plot which correctly displays the data.
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Geometry, NAPX-p116732v03
A bridge is drawn below.
The angle
The value of angle
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Less than 90° |
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More than 180° |
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Equal to 90° |
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More than 90° but less than 180° |
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Geometry, NAPX-p116732v02
A door was opened and not closed.
The angle
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Exactly 90° |
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More than 90° |
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Less than 90° |
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More than 180° |
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Statistics, NAPX-p110558v02
A charity event was held for three weeks. On the first week $5000 was raised, on the second week $3500 was raised and on the last week $2000 was raised.
In the tables below, O = $500
Which table correctly shows the amount of donations raised in the 3 weeks?
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Statistics, NAPX-p110558v01
In a certain school, the number of Year 7 students is 120, Year 8 students is 80, and Year 9 students is 100.
In the tables below, V = 20 students
Which table correctly shows the number of students per year level?
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Number, NAPX-p110532v02
Ana recycles 3 kilograms of plastic bottles in her first week of recycling.
She then recycles twice as much as she recycled the previous week for the next 5 weeks.
The total weight, in kilograms, of the plastic bottles she recycles in any given week will be
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always even |
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always odd |
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sometimes even or sometimes odd |
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none of the above |
Number, NAPX-p110532v01
Leo puts $15 into his piggy bank to start saving money.
He then puts the same amount into the piggy bank at the end of each month.
The total amount of money in his piggy bank will be which of the following:
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Always an even number |
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Always an odd number |
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Sometimes odd sometimes even |
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None of the above |
Geometry, NAPX-p110494v02
Michael’s company is shown in the map.
Michael rides home 5 kilometres west, walks 3 kilometres south and walks another 1 kilometre west.
In which cell on the map is Michael’s home?
| D1 | E2 | C1 | D2 |
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Geometry, NAPX-p110494v01
Phil’s home is shown in the map below.
Everyday he drives 3 kilometres east and 2 kilometres south from home to work
In which cell on the map is Phil’s office?
| A5 | B5 | E5 | D5 |
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Algebra, NAPX-p116707v03
Louise donated money to two charities
She donated $125 to the first charity and donated $45 to the second charity.
Which number sentence could be used to find total amount of money Louise donated?
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120 + 40 = 160 |
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130 + 50 = 180 |
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120 + 40 + 5 = 165 |
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130 + 50 – 10 = 170 |
Algebra, NAPX-p116707v02
Shane played two basketball games.
She scored 35 points in the first game.
In the second game she scored 25 points.
Which number sentence could be used to find the total number of points Shane scored in the first two games?
| 30 + 20 + 5 = 55 | 40 + 30 = 70 | 30 + 20 + 10 = 60 | 30 + 20 = 50 |
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Geometry, NAPX-p116721v03
Sarah drew a straight line on a shape.
The line divided the shape into two rectangles.
Which of these could have been Sarah’s shape?
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Geometry, NAPX-p116721v02
Troy drew a straight line through a shape.
The line divided the shape into two equal triangles.
Which of these could not have been Troy’s shape?
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Algebra, NAPX-p116672v03
Rudy uses the number sentence 24 – 6 = 18
Which of the following problems can he solve with this number sentence?
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Rudy shared 24 slices of cake equally between 6 of his friends. How many slices does each of his friends get? |
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Rudy has 24 slices of cake and gave 6 slices to his friends. How many slices does Rudy have left? |
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Rudy took 6 slices of cake and shared them between 24 of his friends. How many slices does each friend receive? |
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Rudy has 24 slices of cake and gave 18 of them to his friends. How many slices does Rudy have left? |
Algebra, NAPX-p116672v02
Shawn uses the number sentence 20 × 6 = 120
Which of the following problems can he solve with this number sentence?
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Shawn buys 20 toys and gave 6 of them to his nephew. How many toys does Shaun's nephew have now? |
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Shawn buys 20 toys and received another 6 toys from friends. How many toys does Shaun have now? |
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Shawn buys 20 toys and divides them up between his 6 nephews. How many toys does each nephew get? |
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Shawn has 20 nephews and gives 6 toys to each one. Altogether, how many toys does Shaun give to his nephews? |
Number, NAPX-p116663v04
Danica decided to travel a total of two thousand, nine hundred and nine kilometres from Brisbane to Adelaide.
The distance travelled can be written as:
| 2090 km | 2099 km | 2909 km | 2990 km |
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Number, NAPX-p116663v03
A man travelled a total of three thousand four hundred and six kilometres from Perth to Melbourne.
The distance travelled can be written as:
| 3046 km | 3460 km | 3406 km | 4306 km |
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Geometry, NAPX-p116636v03
Gary folded this piece of paper along the dashed lines to make a solid figure.
Which of these models did Gary make?
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Geometry, NAPX-p116636v02
Lance folded this piece of card board along the dotted line to make a solid figure.
Which of these models did Lance made?
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Number, NAPX-p116616v04
Justin owns a collection of action figures which is more than 674 action figures and less than 764.
Which of these numbers could represent the number of action figures that Justin owns?
| 792 | 724 | 648 | 772 |
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Number, NAPX-p116616v03
Eric owns a book which has more than 258 pages but less than 285 pages
Which of these could represent the number of pages in Eric’s book?
| 287 | 294 | 249 | 262 |
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Number, NAPX-p116602v04
Kiara receives 5 cents for every used soft drink she recycles.
If she recycled 12 of these cans, how much did she earn?
| $0.12 | $0.40 | $0.60 | $1.20 |
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Number, NAPX-p116602v03
George wants to make doughnuts that cost him 10 cents to make each.
If he makes 28 of these donuts, how much will it cost him?
| $1.60 | $2.80 | $3.20 | $4.80 |
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Number, NAPX-p167229v02
A circle is divided into 8 equal parts, as shown in the image below.
What percentage of the circle’s area has been labelled with letters?
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30% |
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37.5% |
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42.5% |
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45% |
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47.5% |
Geometry, NAPX-p167209v02
Yohan was driving from the hospital to his house.
What directions best describe Yohan’s travel from the hospital to his house?
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East, north-east, north |
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West, north-west, north |
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East, north-east, south |
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West, north-west, south |
Show Worked Solution
Geometry, NAPX-p167209v01
A man drives from his house to his office.
What directions best describe his way to the office?
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North, north-west, west, south-west |
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North, north-east, east, south-east |
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North, north-east, east, south |
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North, north-west, east, south-east |
Show Worked Solution
Measurement, NAPX-p167202v02
Four triangular shaped playgrounds are shown below.
Which of these play grounds has the least surface area?
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Measurement, NAPX-p167202v01
In a suburb, four families measured the dimensions of their rectangular backyards.
Which backyard has the largest area?
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Probability, NAPX-p167310v04
A man spins a wheel with 5 different coloured sections and records which colour it lands on each time.
He repeats the process multiple times.
The table below shows the results.
Using the table, what is the probability that the next spin will be yellow?
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Measurement, NAPX-p167325v01
Sam painted grids in the larger square areas pictured below.
All of the grids are the same size.
Which of the following squares has the largest area painted?
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Probability, NAPX-p167310v03
Andrei has a stack of cards that contains only Aces, Kings, Queens, Jacks and Jokers.
He picks one card without looking, records the card and puts it back again with the others.
He repeated this process 62 times.
Using the table, what are the chances of Andrei randomly selecting the Joker in his next pick?
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Probability, NAPX-p167310v02
Marie grabs a coloured ball from a bag and records the colour. She then puts the ball back to the bag and repeats this process 96 times.
The results are shown in the table below.
Using the table, what is the probability that the next ball picked up by Marie will be yellow?
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Probability, NAPX-p167310v01
A biased die has 6 faces numbered from 1 to 6.
Raven throws the die 50 times and recorded the results in the table below.
Using the table, what is the probability that Raven will be throwing a 5 on her next throw?
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Measurement, NAPX-p167302v02
The image below is a plan of a commercial garden.
The total planted area is 48 square metres.
What is the total unplanted area?
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60 m² |
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64 m² |
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78 m² |
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81 m² |
Measurement, NAPX-p167302v01
The image below shows a layout of a village.
The total area of the occupied lots is 60 m².
What is the total area of the unoccupied lots in the village?
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36 m² |
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42 m² |
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50 m² |
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54 m² |
Algebra, NAPX-p115542v02
Shane is drawing a repeated pattern in the grid.
Which of these points will be part of Shane’s pattern?
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(8, 3) |
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(2, 7) |
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(7, 3) |
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(2, 6) |
Show Worked Solution
Algebra, NAPX-p115542v01
Patricia is drawing a repeating pattern on the grid pictured below.
Which of these points will be part of Patricia’s pattern?
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(16, 6) |
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(14, 8) |
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(14, 7) |
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(16, 8) |
Show Worked Solution
Probability, NAPX-p167455v04
A bookmaker's bag is filled with different types of notes.
The bag contains 16 ten-dollar notes, 11 twenty-dollar notes, 8 fifty-dollar notes and 3 hundred-dollar notes.
The bookmaker reaches in to the bag and randomly selects one note.
What is the chance that a fifty-dollar note is selected?
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Probability, NAPX-p167455v03
A bag contains different coloured balls.
It contains 4 red balls, 8 green balls, 3 pink balls, 6 grey balls and 11 yellow balls.
Nathalie picks a ball from the bag without looking.
What is the chance that she draws a grey ball?
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Geometry, NAPX-p167266v02
Which dotted line is a line of symmetry?
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Geometry, NAPX-p167266v01
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, NAPX-p167236v02
A store sells second hand mobile phones.
The graph below shows the price of 2 similar second-hand phones.
Which of the following is true based on the graph shown?
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Phone A is older and less expensive than Phone B |
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Phone B is older and more expensive than phone A |
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Phone A is newer and more expensive than Phone B |
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Phone A is older and more expensive than Phone B |
Statistics, NAPX-p167236v01
A man bought a plot of land in the past and now he is selling it.
The graph marks the price of the land when the man bought it and the price of the land now.
Which of the following is true based on the graph shown?
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The land is less expensive now than when it was purchased. |
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The land is more expensive years ago than now. |
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The land is more expensive now than years ago. |
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The price of the land does not change with time. |
Number, NAPX-p167229v01
A circle is divided into 8 equal parts, as shown in the diagram below.
What percentage of the circle’s area has been labelled with even numbers?
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37.5% |
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50% |
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57.5% |
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62.5% |
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70% |
Number, NAPX-p73124v02
Julian was driving into town and hit a kangaroo
Which of these represent where Julian hit the kangaroo?
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Number, NAPX-p73124v01
Axe went jogging and stopped after
Which of these represents where Axe stopped jogging?
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Algebra, NAPX-p73022v02
Aaron wants to find the missing number that will make this number sentence correct.
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Which of these could Aaron use to find the missing number?
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Algebra, NAPX-p73022v01
Carryn wants to find the number that will make this number sentence correct.
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Which of these could Carryn use to find the missing number?
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Geometry, NAPX-p72864v02
Nathan places a notepad along a line of symmetry of a star shape.
How many points does the star have?
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Measurement, NAPX-p73132v01
Each square in the figure has a side length of 2 metres.
What is the perimeter of the figure?
| 18 m | 24 m | 32 m | 36 m |
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Show Worked Solution
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