Patrick takes 25 minutes to walk to the beach for board training.
Last week he arrived at training at 4:15 pm, which was 20 minutes late.
At what time would Patrick leave home to arrive at board training on time?
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Number and Algebra, NAP-J2-39
Which of these numbers has a 3 in the thousandths place?
| 0.3244 | 2.8309 | 7.8231 | 23 082.8915 |
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Number and Algebra, NAP-J2-38
Karen stands on a box and her new height is 1.8 metres.
Karen's actual height is twice that of the box.
What is the height of the box in centimetres?
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Number and Algebra, NAP-K2-37
What is the value of
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Geometry, NAP-K2-36 SA
Statistics, NAP-K2-35
This graph shows the number of men and women that registered to vote before a council election on different days of the week.
On which day is the difference between the number of men and women registering closest to 50?
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Number and Algebra, NAP-K2-33
Gian is writing a number pattern.
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She continues this pattern until she has written 7 numbers.
Select all of the options that will give the 7th number in Gian's pattern.
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Probability, NAP-K2-32
Ben needs to choose a shirt, a tie and a jacket to wear.
In his wardrobe, he owns the following clothes.
Which two of these show a way to calculate the number of different combinations that Ben can wear?
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Number and Algebra, NAP-K2-30 SA
Pablo buys art supplies for his art studio.
He rounds each price to the nearest dollar to estimate the total cost of the supplies.
How much is Pablo's estimate?
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Number, NAP-K4-NC02
Blart has a device that counts his steps each day.
He aims to complete 10 000 steps each day.
The fraction of steps he has completed toward his target one day is
What percentage of steps does Blart need to complete to reach his target?
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Number, NAP-K3-NC06
In a racing car season, the top three finishers in each race are awarded points.
Vangio was awarded a total of 25 points.
What is the greatest number of races in which Vangio could have been in the top three?
| 5 | 6 | 7 | 8 |
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Number, NAP-K3-NC05 SA
Allegra's shopping list is pictured below.
She rounds each price to the nearest dollar to estimate the total cost of her groceries.
How much is Allegra's estimate?
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Algebra, NAP-K3-CA27
Wendy went to the supermarket to buy milk, soup, pineapple and cereal.
The pineapple cost half as much as the cereal.
The cost of different combinations of her items is shown below.
What is the cost of the milk?
| $1 | $1.50 | $2 | $2.50 |
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Number, NAP-K3-CA26
What is the value of
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Algebra, NAP-K3-CA25
Georgia is making a number pattern by drawing squares.
She draws up a table to record the number of squares in each figure.
How many squares will be in Figure 6?
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Measurement, NAP-K3-CA21
Cassy drew this shape on some grid paper.
Select the two shapes with the same area as Cassy's shape.
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Show Answers Only
Show Worked Solution
Probability, NAP-K4-CA29
Pedro has 180 students in his year at school.
He surveys 30 students at random and asks them their favourite subject at school.
This column graph shows the results of the survey.
Which is the best estimate for the total number of students in Pedro's year whose favourite subject is English?
| 6 | 18 | 24 | 36 | 60 |
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Probability, NAP-K3-CA22
Shane picks one of these 4 cards at random.
Which number line shows the chance of Shane picking an even number?
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Show Worked Solution
Number, NAP-K3-CA19
Maria has 500 avocados to pack into boxes.
Each box has room for 3 layers of avocados with 27 avocados in each layer.
Maria packs as many full boxes as possible.
How many avocados are left over?
| 7 | 12 | 14 | 17 |
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Number, NAP-K4-CA20
Polly, Roger and Milly are splitting up two identical chocolate bars.
Polly takes
Roger takes
What fraction of each bar did Milly get?
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Milly got |
Geometry, NAP-K4-CA17
Two boats leave from Fremantle. One sails to the Wharf at Rottnest Island and the other sails to Cervantes.
The direction each boat sailed is shown in the map below.
What is the value of
| 35 | 45 | 50 | 60 |
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Geometry, NAP-K4-CA16
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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Number, NAP-K4-CA14
The table below compares the approximate populations of two countries.
Approximately how many more people live in Cuba than in Benin?
| 37 900 | 47 900 | 379 000 | 479 000 |
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Number, NAP-K4-CA13
Maria has 500 avocados to pack into boxes.
Each box has room for 3 layers of avocados with 27 avocados in each layer.
Maria packs as many full boxes as possible.
How many avocados are left over?
| 7 | 12 | 14 | 17 |
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Geometry, NAP-K4-CA12
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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Show Worked Solution
Number, NAP-K4-CA11
Brendan lives in New York and returns to visit his hometown, Perth, every three years.
His next visit in 2020 will also let him attend the Mining Expo that is held once every two years.
When was the last year that Brendan visited Perth at the same time as the Mining Expo was held?
| 2014 | 2015 | 2016 | 2017 |
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Probability, NAP-K4-CA19
A country school surveyed 120 of its students about the type of animals they have at home.
The results are recorded in the Venn diagram below, although the number of students who only own horses is missing.
If one of the students is selected at random, what is the probability that the student does not own a goat?
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Measurement, NAP-K4-CA07
Ricky lives in Bellerive. He is travelling by train to the ferry terminal to catch a 13:30 ferry.
Ricky needs to arrive 30 minutes before his ferry departs.
What is the latest time Ricky can catch a train from Bellerive?
| 10:58 am | 11:58 am | 12:58 pm | 1:58 pm |
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Statistics, NAP-A3-NC22 SA
A survey asked a group of high school students how much they spend on broadband each month.
The result were recorded in the table below.
In total, how many students in Year 9 and Year 10 had a monthly broadband spend of more than $20?
Probability, NAP-A3-NC24 SA
Albert has 50 marbles in his bag.
He records the colour of each marble in the table below.
What percentage of the marbles are white?
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Measurement, NAP-A3-NC23 SA
A container has some water in it.
An extra 300 mL of water is added to the container.
How many millilitres (mL) of water will then be in the container?
| mL |
Measurement, NAP-A3-NC21 SA
What is the size of the angle in the shaded triangle marked by the arrow?
| degrees |
Geometry, NAP-A3-NC20
The sum of the dots on opposite faces of a standard die is 7.
Which is the net of this standard die?
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Geometry, NAP-A3-CA23
Which object has exactly twice as many edges as faces?
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Show Worked Solution
Measurement, NAP-A3-CA22
This shape is made from eight equilateral triangles and one large parallelogram.
Each side of all the small triangles is 4 cm long.
What is the perimeter of the shape?
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Number, NAP-A3-CA21 SA
A stack of cardboard poster is 7.8 centimetres thick.
Each poster is 0.03 centimetres thick.
How many posters are in the stack?
| sheets |
Probability, NAP-A3-CA20
Shane turned over the cards below and mixes them up.
He selects one at random.
What is the chance of Shane selecting a 2 of spades?
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Statistics, NAP-A3-NC22 SA
This table shows results of a survey on gym memberships.
In total, how many people over the age of 60 have a monthly bill less than $40?
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Algebra, NAP-A4-NC23 SA
What is the value of
Number, NAP-A4-NC20 SA
Fabio drove 300 km in
His average speed for the first 210 km was 70 km per hour.
How long did he take to travel the last 90 km?
| hours |
Number, NAP-A4-NC19 SA
Albert has 50 marbles in his bag.
He records the colour of each marble in the table below.
What percentage of the marbles are white?
| % |
Measurement, NAP-A4-NC18 SA
A container has some water in it.
An extra 300 mL of water is added to the container.
How many millilitres (mL) of water will then be in the jug?
| mL |
Geometry, NAP-A4-NC17
Ruby made this solid object using 36 cubes.
She then painted the complete surface area of the object red.
The object is then broken apart into 36 cubes.
How many cubes have at least one side painted red?
| 27 | 32 | 34 | 36 |
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Measurement, NAP-A4-NC16 SA
What is the size of the angle in the shaded triangle marked by the arrow?
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Algebra, NAP-A4-CA21
A stack of 4 cups is 16 cm tall.
A stack of 7 cups is 25 cm tall.
Which rule can be used to work out the height, in centimetres, of a stack of
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Geometry, NAP-B4-NC23 SA
A line is drawn through the point where the two diagonals intersect.
Two triangles are then shaded.
What fraction of the rectangle is shaded?
Show Worked Solution
Geometry, NAP-A4-CA20
Measurement, NAP-A4-CA19
How many hours and minutes are between 4:43 am and 4:21 pm on the same day?
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11 hours and 22 minutes |
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11 hours and 38 minutes |
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12 hours and 22 minutes |
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12 hours and 38 minutes |
Algebra, NAP-A4-CA18
A rule for
When
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Measurement, NAP-A4-CA17
Here is a plan of Dave's backyard.
The total area of the paving stones is 18 m².
What is the total area of the grass in Dave's backyard?
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Geometry, NAP-A4-CA16
A regular pentagon, a square and an equilateral triangle meet at a point.
What is the size of the angle
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Geometry, NAP-A4-CA13
In the diagram,
What is the size of angle
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Show Worked Solution
Algebra, NAP-B4-NC22 SA
When
Geometry, NAP-B4-NC21 SA
The area of the rectangle in the diagram below is 15 cm2.
What is the area of the trapezium
| cm2 |
Show Worked Solution
Number, NAP-B4-NC20
Two numbers added together equal 2.
The two numbers multiplied together equal −24.
What are the two numbers?
| and |
Statistics, NAP-B4-NC19
Here is a set of 8 scores.
What will change if score 28 is removed from the set?
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mean and mode |
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mean and median |
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mean only |
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mean and range |
Algebra, NAP-B4-NC18
The coordinates of point
If
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Number, NAP-B4-NC16
Which expression is equal to
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Algebra, NAP-B4-CA21
A large telescope lens has a diameter
The focal length of the lens,
When
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Geometry, NAP-B4-CA18 SA
What is the value of
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