Hannah is walking in the city, heading due East.
She makes quarter turn left and keeps walking.
After this, Hannah makes another quarter turn left and continues to walk.
In what direction is Hannah now walking?
| North | South | East | West |
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Measurement, NAP-I4-CA17v1
A wheel on a bicycle has a diameter of 530 mm.
The wheel turns 3 times.
Approximately how many metres has the bicycle travelled?
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Measurement, NAP-F4-CA16v1
A car tyre has a circumference of 120 cm.
Which of these is closest to the radius of the tyre?
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Number, NAP-L4-CA27 SA v1
Gary is painting his house over 3 days.
- He paints
of the house on the first day. - He paints
of the house on the second day.
In order to finish, what percentage of the house does Gary need to paint on the third day?
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Number, NAP-F3-NC25v1
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Number, NAP-F3-CA22v1
Which number will complete this number sentence correctly?
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Number, NAP-B3-CA22 SA v1
This calculation gives the population of quokkas on Rottnest Island in April 2021.
What was the population in April 2021?
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Number, NAP-C3-CA22v1
Which of these numbers is a multiple of both 3 and 11?
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Number and Algebra, NAP-D2-31 SA v1
A ticket to Leyland Brothers World for two adults costs $42 in total.
A ticket to Leyland Brothers World for one child is one third the cost of an adult ticket.
What is the cost of a ticket for one child?
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Algebra, NAPX-p115106v02
A broadband provider offers 3 types of broadband plans: Standard, High Speed and Fibre To The Door.
The Standard plan costs $50.40 less than the High Speed plan.
The Standard plan costs $72.60 less than the Fibre To The Door plan.
Which of these equations correctly states the cost of the High Speed plan?
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Cost of High Speed plan = Cost of Fibre To The Door plan – $72.60 |
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Cost of High Speed plan = Cost of Fibre To The Door plan – $50.40 |
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Cost of High Speed plan = Cost of Fibre To The Door plan – $32.80 |
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Cost of High Speed plan = Cost of Fibre To The Door plan – $22.20 |
Algebra, NAPX-p115106v01
A food delivery company provides 3 levels of service: Regular, Moderate and Premium.
Regular service costs $15.50 less than Moderate service.
Regular service costs $45.80 less than Premium service.
Which of these equations correctly represents the cost of Moderate service?
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Cost of Moderate Service = Cost of Premium service – $15.50 |
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Cost of Moderate Service = Cost of Premium service – $30.30 |
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Cost of Moderate Service = Cost of Premium service – $20.70 |
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Cost of Moderate Service = Cost of Premium service – $45.80 |
Algebra, NAPX-p170065v02
Ashley makes $152 for every 19 beauty kits she sells online.
Which expression shows how much Ashley would earn if she sells
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Algebra, NAPX-p170065v01
A salesman earns $84 for every 7 litres of paint he sells.
Which expression shows how much would he would earn for selling
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Geometry, NAPX-p170037v02
In the diagram below, line XYZ is a straight line.
What is the measurement of angle XYS?
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31° |
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36° |
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47° |
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103° |
Show Worked Solution
Geometry, NAPX-p170037v01
From the diagram shown below, Line ABC is a straight line.
What is the size of angle DBC?
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63° |
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93° |
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117° |
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297° |
Show Worked Solution
Statistics, NAPX-p108432v02
The graph below represents data gathered from 9 professional workers.
What kind of data could be represented in the graph shown above?
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Age | Salary |
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Kind of Job | Salary |
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Name of Company | Age |
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Favourite food | Years of Experience |
Statistics, NAPX-p108432v01
Cyrene collected some data from 10 of her friends.
The graph represents the data gathered by Cyrene but no labels are used
What kind of data could Cyrene be showing in her graph?
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Age | Name |
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Gender | Weight |
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Height | Favourite food |
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Height | Weight |
Geometry, NAPX-p110293v02
A quadrilateral FGHI is moved to a new position labelled LMJK.
Which of these processes resulted in the new position of the quadrilateral?
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Rotate quadrilateral FGHI 180° counter-clockwise about the origin. |
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Reflect quadrilateral in the |
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Rotate quadrilateral FGHI 90° clockwise about the origin. |
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Reflect quadrilateral FGHI in the |
Show Worked Solution
Geometry, NAPX-p110293v01
The triangle ABC is moved to the new position labelled XYZ.
Which of these processes resulted in the new position of the triangle?
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Rotate triangle ABC 180° counter-clockwise about the origin. |
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Reflect triangle ABC in the |
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Reflect triangle ABC in the |
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Rotate triangle ABC 270° clockwise about the origin. |
Show Worked Solution
Algebra, NAPX-p109130v02
On a given day, the RSPCA had 87 lost dogs and cats in its care.
If there was 11 more dogs than cats, how many dogs were there?
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38 |
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49 |
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53 |
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76 |
Algebra, NAPX-p109130v01
A college marching band is made up of 102 people.
There are 24 more men than women.
How many women are there?
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30 |
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39 |
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65 |
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78 |
Number, NAPX-p169769v02
Select a number line which correctly represents the following values: 0.255, 0.65, 0.45 and 0.85.
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Show Worked Solution
Number, NAPX-p169769v01
Select a number line which correctly represents the following values: 0.09, 0.755, and 0.85.
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Show Worked Solution
Probability, NAPX-p110739v02 SA
Shawn has a bag that holds one blue ball, one red ball and one green ball.
Shawn picks one ball without looking, records its colour and puts it back in the bag.
He repeated this process 60 times and summarises the results in the table below.
What is the difference between the expected and actual number of red balls picked?
Probability, NAPX-p110739v01 SA
Elaine rolled a regular die 100 times.
She recorded if an even or odd number appeared each time.
The table below represents the recorded data.
What is the difference between the expected number of odd rolls to the actual odd rolls recorded?
Number, NAPX-p109848v02
Which of these number has 7 in the thousandths place?
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167.23 |
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12.537 |
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42.6667 |
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96.873 |
Number, NAPX-p109848v01
Which of these number has 3 in the hundredths place?
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12.35 |
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321.223 |
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0.253 |
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12.43 |
Algebra, NAPX-p109760v01
The corners of a certain parallelogram are shown below.
Which point in the graph represents the fourth point?
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Show Worked Solution
Measurement, NAPX-p106471v02 SA
Martin has a piece of wire that measures 1.32 metres.
He cuts off a 470 millimetre piece of it.
How long is the remaining wire in millimetres?
mm
Measurement, NAPX-p106471v01 SA
Henry is 175 centimetre tall.
He stands on top of a 425 millimetres chair.
How tall is Henry now in centimetres?
cm
Number, NAPX-p169124v02
Deirdre walks to work which is 6 km from her home.
She walks there at a constant speed of 5 kilometres per hour.
How many minutes does it take Deirdre to walk to work from her home?
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Number, NAPX-p169124v01
Oggy's gym is 3 kilometres away from his apartment.
He jogs there at a constant speed of 10 kilometres per hour.
How many minutes does it take for Oggy to get to the gym from his apartment?
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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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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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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
Number, NAP-L4-NC06
In 100 grams of the alloy electrum, there are 87.5 grams of gold and 12.5 grams of other metals.
Of the other metals, 2.1 grams are silver.
Which of these fractions is the closest to the proportion of silver among the other metals?
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Number, NAP-L4-NC05 SA
A menu requires 600 grams of curry paste.
Three satchels are emptied that provide 120 grams of curry paste.
How many more satchels are required?
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Number, NAP-L4-NC04 SA
Albert buys six donuts at a bakery.
He pays with a $5 note and gets 80 cents change.
How much does each donut cost?
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cents |
Number, NAP-L4-CA31
Earthquakes are measured using the Richter scale which calculates the amount of energy (in ergs) the earthquake releases.
An earthquake measuring 4 on the Richter scale releases
An earthquake measuring 8 on the Richter scale releases
An earthquake measuring 8 on the Richter scale releases how many times as much energy as an earthquake measuring 4?
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Number, NAP-L4-CA27 SA
Alan is fertilising his lawn over 2 days.
- He fertilises
of the lawn on the morning of the first day. - He fertilises
of the lawn on the afternoon of the first day.
If Alan does no more work on the first day, what percentage of his lawn is fertilised after 1 day?
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Number, NAP-L4-CA26 SA
Petrol costs 158.5 cents per litre.
How much does 12 litres of petrol cost?
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Measurement, NAP-L4-CA25
Rogan has a square and a rectangle.
He cuts the rectangle along the dotted line as shown below.
Rogan then joins these 3 pieces to make a parallelogram.
Which of these calculations could Rogan use to find the area of the parallelogram?
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Probability, NAP-L4-CA22
A restaurant menu has the following different options available for a 3-course meal.
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- 3 entrees
- 6 mains
- 4 desserts
How many different combinations of options are there for a 3-course meal?
| 13 | 16 | 36 | 72 |
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Statistics, NAP-L4-CA20
The stem-and-leaf plot shows the number of koalas in a wildlife sanctuary each day during two weeks of bushfires.
On how many days were there at least 30 koalas in the sanctuary?
| 2 | 3 | 6 | 8 | 14 |
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Measurement, NAP-L4-CA19 SA
Nathan is on a hike from Nords Wharf to Burwood Beach.
The trail is 38 kilometres in length.
On the first day, Nathan walks 8300 metres to Little Pelican.
The next day, he walks 16 900 metres to Redhead Beach.
How many kilometres remain for Nathan to complete this trail?
Give your answer in kilometres, to one decimal place.
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Statistics, NAP-L4-CA16
This graph shows the number of people in Australia, in millions, in part time work, from 1998 to 2018.
Which of these statements about the graph is true?
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More than three times as many people were in part time work in 2018 as in 1998. |
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The number of people in part time work increased by more than 500 000 from 2003 to 2008 |
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The number of people in part time work increased more per year between 2008 and 2013 than at any other time. |
Number, NAP-L3-NC07 SA
A solar panel grid on a school roof produces an average of 8.6 kWh of energy per day.
How much energy will the grid produce for the school on average over 7 days?
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kWh |
Number, NAP-L3-NC06 SA
Mount Kosciusko is 2228 metres high.
Mount Daligo is 1247 metres high.
How many metres higher is Mount Kosciusko than Mount Daligo?
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metres |
Geometry, NAP-L4-CA14
Roger starts walking due West.
He makes a quarter turn right and keeps walking.
Then, he makes another quarter turn right and stops.
What direction is Roger now facing?
| North | South | East | West |
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Show Worked Solution
Number, NAP-L3-NC04 SA
Year 7 students at a school collected aluminium cans to recycle.
- There were 50 students in Year 7.
- Each student collected 30 kilograms of aluminium cans.
- Every 1000 kilograms of aluminium cans is worth $800.
In total, how much are the cans collected by all of Year 7 worth?
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Geometry, NAP-L3-CA39 SA
Two sailing boats set sail from an island.
The direction that each boat sailed is shown in the diagram below.
The angle between the direction of the two boats has been shaded.
What is the size of the shaded angle?
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Number, NAP-L3-CA31
Sapphire has 65 chocolates to pack into gift bags.
She puts 13 chocolates in each gift bag.
Which of the statements below are true?
Select three statements.
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13 × 65 = (the number of gift bags Sapphire packs) |
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13 × (the number of gift bags Sapphire packs) = 65 |
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65 ÷ 13 = (the number of gift bags Sapphire packs) |
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65 ÷ (the number of gift bags Sapphire packs = 13 |
Geometry, NAP-L3-CA28
Rochelle drew a pattern which is pictured below.
Rochelle rotates the pattern.
How much does Rochelle to turn the pattern until it looks exactly the same?
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Geometry, NAP-L3-CA27
Rodin glues 5 triangle prisms together to make a sculpture.
How many faces, including the base, does Rodin's sculpture have?
| 15 | 19 | 21 | 25 |
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Number, NAP-L4-CA17
Stephan makes 14 loaves of bread to sell at his bakery.
Each loaf takes
After he makes each loaf, he counts how many cups of sugar he uses in total.
Which is the last number he will count?
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Number, NAP-L3-CA26
Stephan makes 14 loaves of bread to sell at his bakery.
Each loaf takes
After he makes each loaf, he counts how many cups of sugar he uses in total.
Which is the last number he will count?
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Measurement, NAP-L3-CA25
A water container has 5 litres of water in it.
Kate pours water into her dog's bowl.
She pours the water into the 250 cubic centimetre bowl until it is full.
How much water is left in the container?
| 250 millilitres | 475 millilitres | 4500 millilitres | 4750 millilitres |
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