Which of these numbers is closest in value to
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1.5 |
Number, NAPX-Z3-CA11 v2
Comet Hale-Bopp travels through space at a speed of 142 kilometres per second.
What is the speed of the comet in kilometres per minute?
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1.42 | |
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2.37 | |
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8 520 | |
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14 200 |
Number, NAPX-Z3-CA11 v1
A RAAF fighter jet can travel at a speed of 1230 meters per second.
What is the speed of the fighter jet in metres per minute?
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12.3 | |
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20.5 | |
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73 800 | |
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123 000 |
Probability, NAPX-Z3-CA10 v1
An AFL coach gave a press conference where she stated it was likely that her star player would return from injury for the next game.
Which probability below best describes the chance of the star player returning from injury?
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Algebra, NAPX-Z3-CA09 v1
Sophie makes a pattern using sticks as shown below.
The number of sticks in the first 3 figures are 3, 9, and 18.
What is the number of sticks needed for figure 4?
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24 | |
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27 | |
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30 | |
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36 |
Geometry, NAPX-Z3-CA08 v1
What is the value of
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15° | |
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25° | |
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35° |
Geometry, NAPX-Z3-CA07 v1
Which of these is the left view of this object made from cubes?
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Number, NAPX-Z3-CA06 v1
What number is exactly halfway between
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Number, NAPX-Z3-CA05 v1
The number of emperor penguins nesting in 3 Antarctic regions is counted for a research project and recorded in the table below.
What is the total number of penguins nesting in the 3 regions, rounded to the nearest thousand.
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100 000 | |
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104 000 | |
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105 000 | |
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110 000 |
Statistics, NAPX-Z3-CA03 v1
A group of students collected insects for a science experiment.
The number of insects collected by each student is as follows:
22, 29, 18, 28, 26, 24, 24, 25, 28
Select the dot plot that correctly displays this data.
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Number, NAPX-Z4-CA40 v2
Alisi is 3 times older than Elenoa.
If the sum of their ages is 60 years, how old is Alisi?
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Number, NAPX-Z4-CA40 v1
Kate saved twice as much money as Patrick.
If they saved a total of $42 between them, how much did Kate save?
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Geometry, NAPX-Z4-CA39 v1
Amelika draws a triangle in a semi-circle and labels 4 angles as shown below.
Which angle is closest in size to 35°?
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Number, NAPX-Z4-CA38 v2
An eagle-owl sleeps an average of 10 hours a day.
What fraction of the day does an average eagle-owl sleep?
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Statistics, NAPX-Z4-CA37 v2
A survey asked people what kind of washing up detergent they use at home.
The results were recorded in the pie chart below.
Which brand of detergent was preferred by around one-third of the population?
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Probability, NAPX-Z4-CA36 v2
A bag contains 10 coloured balls.
William took 4 balls out of the bag at the same time.
Which of the following results is impossible?
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2 striped balls, one purple and one green ball. |
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2 striped balls, one purple and one black ball. |
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2 black balls and 2 striped balls. |
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2 red balls and 2 black balls. |
Probability, NAPX-Z4-CA36 v1
A bag contains 10 coloured marbles.
Sarah picks 3 marbles out of the bag at the same time.
Which of the following results is impossible?
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3 pink marbles. |
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2 red marbles and 1 green marble. |
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2 blue marbles and 1 green marble. |
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3 red marbles. |
Number, NAPX-Z4-CA34 v2
Ronald has $8.00.
A burger cost $2.50.
What is the highest number of burgers that Ronald can buy?
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Geometry, NAPX-Z4-CA33 v3
Skye made a sculpture.
The side view and front view are shown below.
Which of these is a correct top view?
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Measurement, NAPX-Z4-CA32 v5
A shape, pictured below, is made up of 6 equilateral triangles.
What is the perimeter of the shape?
| 12 cm | 20 cm | 24 cm | 36 cm |
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Measurement, NAPX-Z4-CA32 v4
A shape, pictured below, is made with 5 rhombuses.
What is the perimeter of the shape?
| 10 cm | 12 cm | 20 cm | 24 cm |
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Number, NAPX-Z4-CA31 v2
Eric has 6 cups of sesame seeds to use for baking 2 loaves of sesame bread.
He used
How many cups of sesame seeds did Eric have left?
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Number, NAPX-Z4-CA30 v1
Mark wants to make 5 apple pies, where each apple pie needs 3 apples.
He goes to a shop to buy the required apples.
The shop sells apples in bags of 6.
How many bags does Mark need to buy?
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Geometry, NAPX-Z4-CA29 v1
Gebre's left shoe is pictured below.
His right shoe is a mirror image of his left shoe.
Which of these is Gebre's left shoe?
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Statistics, NAPX-Z4-CA26 v2
Geraldine is taking an inventory of her goods for sale at the market.
How did Geraldine order her data?
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Statistics, NAPX-Z4-CA26 v1
Andy Collected data on 4 of his friends and recorded the results in the table below.
How did Andy order his data?
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Geometry, NAPX-Z4-CA26 v2
Which of these shapes has exactly six faces?
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a circular cone |
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a square pyramid |
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a hexagonal pyramid |
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a cube |
Show Worked Solution
Number, NAPX-Z4-CA26 v2
Jake decided to re-heat pizza that was in the fridge.
The pizza’s initial temperature was –2°C.
After reheating for two minutes, the pizza’s final temperature was 20°C.
What was the change in temperature of the pizza?
| increase of 10°C | increase of 18°C | increase of 22°C | decrease of 18°C |
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Algebra, NAPX-Z4-CA23 v2
Jenny and Lisa each bought apples from the local farmer’s market.
Jenny bought 3 kilograms for $1.50.
Lisa bought 7 kilograms for $3.50.
Which graph best represents the cost of apples at the farmer’s market?
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Algebra, NAPX-Z4-CA23 v1
A lane marking machine is painting lines on a new highway.
It travelled 3 km in 2 hours and 9 km in 6 hours.
Which graph best represents the distance travelled by the machine at any given time?
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Measurement, NAPX-Z4-CA22 v2
Jenna is designing a stage in the shape of a rectangle.
She wants the stage to be at least 18 square metres.
She has made two sides of the stage each 6.5 metres in length.
What is the smallest possible length of each of the other two sides, rounded to one decimal place?
| 2.6 metres | 2.8 metres | 3 metres | 3.2 metres |
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Measurement, NAPX-Z4-CA22 v1
Martin is designing a rectangular pool.
He wants the pool surface to be at least 48 square metres.
He has dug out two sides each 8.3 metres in length.
What is the smallest possible length of each of the other two sides, rounded to one decimal place?
| 6 metres | 5.8 metres | 5.5 metres | 5 metres |
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Algebra, NAPX-Z4-CA40 v2
A stack of 6 cups is 300 mm tall.
A stack of 9 cups is 420 mm tall.
Which rule can be used to work out the height, in millimetres, of a stack of
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Geometry, NAPX-Z4-CA39 v2
An isosceles triangle is drawn below.
What is the size of the angle
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Number, NAPX-Z4-CA38 v2
Ana and Ralph were given similar tasks and began working on them without a break.
Ana took 1 hour and 22 minutes to finish the task while Ralph took 20% longer to complete it.
Approximately how long did Ralph take to finish the task?
| 84 minutes | 98 minutes | 126 minutes | 146 minutes |
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Number, NAPX-Z4-CA38 v1
Logan and Thea competed a 400 metre running race.
It took Logan 1 minute 12 seconds to finish the race, while Thea took 30% longer.
Approximately how long did Thea take to finish the race?
| 74 seconds | 82 seconds | 94 seconds | 146 seconds |
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Statistics, NAPX-Z4-CA37 v2
In four 100-metre sprint races, Usain recorded times of 13.5, 14.0, 12.5, and 15 seconds.
In his 5th race, his time was 13.5 seconds.
Which of the following will not change after Usain’s 5th sprint race?
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his median sprint time |
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his mean sprint time |
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his total time sprinting |
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the range of his sprint times |
Statistics, NAPX-Z4-CA37 v1
In 4 games of basketball, Jason scored 12, 21, 10, and 12 points.
In the 5th game, he scored a season high 25 points.
Which of the following will not change after Jason’s 5th game?
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his total points score |
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the mean of his point scores |
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the range of his point scores |
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the median of his point scores |
Probability, NAPX-Z4-CA36 v2
A dice in the shape of a rectangular prism has 6 faces numbered 1 to 6.
Jevin throws the dice 100 times and and records the outcomes.
What is the probability of throwing a 2 with this dice?
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Probability, NAPX-Z4-CA36 v1
A rectangular prism die has 6 faces with faces numbered with 1 to 6 dots.
Dave throws the die 100 times and records the outcomes.
What is the probability of throwing a 5 with this die?
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Number, NAPX-Z4-CA35 v2
The distance from
The distance from
What is the distance from
| 120 metres | 190 metres | 245 metres | 272 metres |
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Number, NAPX-Z4-CA34 v2
Trish and Karl decided to sell some of their books at the market.
Their amount each of them has made is listed in the table below.
If Trish makes $35 more, she would have made three times as much money as Karl.
How much money do Karl and Trish currently have?
| Karl | Trish | |
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$35 | $60 |
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$40 | $45 |
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$20 | $25 |
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$50 | $85 |
Number, NAPX-Z4-CA34 v1
Alex and Paolo both have part-time jobs to earn money to travel overseas.
If Paolo earned $120 more, he would have twice as much money as Alex.
How much money does each of them have?
| Alex | Paolo | |
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$90 | $60 |
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$45 | $20 |
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$70 | $60 |
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$85 | $40 |
Geometry, NAPX-Z4-CA33 v4
Helene was jogging in an easterly direction and made a 45° turn to her left.
What direction is Helene heading in now?
| South-East | South-West | North-East | North-West |
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Geometry, NAPX-Z4-CA33 v1
Irish was walking in a south-west direction and makes a quarter turn to the left.
What direction is he heading now?
| North | North-West | South-East | South |
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Measurement, NAPX-Z4-CA32 v3
A square has a perimeter of 84 cm.
A rectangle has the same perimeter as the square and has a width of 15cm.
What is the length of the rectangle in centimetres?
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Measurement, NAPX-Z4-CA32 v1
A rectangle has width of 12 cm and a length of 26 cm
A square has the same perimeter as the rectangle
What is the length of each side of the square in centimetres?
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Number, NAPX-Z4-CA31 v3
Miya made lemonade by mixing 1.5 litres of water and 6 table spoons of lemonade powder.
How many table spoons of lemonade powder is needed if there is 9 litres of water?
| 24 | 30 | 32 | 36 |
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Number, NAPX-Z4-CA31 v2
The colour cyan is made by mixing 7 litres of green paint and 4 litres of blue paint.
If 63 litres of green paint are used for the mixture, how much blue paint is needed?
| 28 litres | 32 litres | 36 litres | 42 litres |
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Number, NAPX-Z4-CA30 v2
John’s receipt from Eat & Treat was torn.
He knew the following:
- each hamburger he ordered cost just below $15.
- each serve of fries cost just under $6.
His credit card statement showed that he spent $83.75.
About how much did the Iced Tea cost?
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Geometry, NAPX-Z4-CA29 v2
Chrisanthy drew the quadrilateral pictured below.
What is the size of angle
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Statistics, NAPX-Z4-CA28 v2
A survey was conducted in a high school where the students were asked if they enjoy each of the subjects Mathematics, English and Science.
A Venn diagram is shown to represent the number of students that like each subject.
How many of the people surveyed like both Mathematics and Science?
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Statistics, NAPX-Z4-CA28 v1
A survey is held where people are asked if they like soft drinks, milkshakes or lemonade.
The results are summarised in the Venn diagram below.
How many of the people surveyed like at least two of the three drinks?
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Algebra, NAPX-Z4-CA27 v2
James is drawing a rectangular prism on an isometric grid.
Which pair of points could James draw as vertices on the prism?
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Show Worked Solution
Algebra, NAPX-Z4-CA26 v2
A certain stall sells donuts for $2 each and beverages for $3 each.
Sam wrote an equation
How many donuts and beverages could he buy?
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12 donuts and 10 beverages |
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8 donuts and 8 beverages |
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10 donuts and 11 beverages |
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9 donuts and 10 beverages |
Algebra, NAPX-Z4-CA25 v2
Which shape has
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Algebra, NAPX-Z4-CA19 v2
Which expression equals
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Geometry, NAPX-Z4-CA18 v2
Hailey plotted the points
She then joined some of the points together with lines.
Which of these pairs of lines are parallel?
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Show Worked Solution
Number, NAPX-Z4-CA17 v2
Mandy sells 40 apple pies at the market. Each pie costs her $2.50 to make.
She sells 36 pies for $5.00 each.
In the last hour of the market, she sells the last 4 pies for $1.50 each.
What is the total profit or loss of the 40 apple pies?
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Statistics, NAPX-Z4-CA16 v2
A fundraiser was conducted by a primary school.
The graph below shows the amount of money raised by each grade.
How much money was raised by students below 5th grade?
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