A charity calculates its total donations every month.
Over a six month period, the amounts they calculate are as follows:
$1520, $1270, $1600, $1310, $1430, $1288
What is the mean monthly donation the charity received over this 6 month period?
Statistics, NAPX-p107114v01 SA
Over a week, a pensioner drove the following distances, in kilometres, in her car.
12, 18, 11, 9, 13, 16, 12
What is his mean distance travelled in the car each day over the week?
Probability, NAPX-p170160v02 SA
A spinning wheel is divided into 56 equal sectors that are coloured either red or blue.
Chablis spins the wheel and has a 1 in 8 chance of landing in a sector coloured red.
How many blue sectors are there on the spinning wheel?
Probability, NAPX-p170160v01 SA
Harley has bag that contains 32 balls that are coloured either black or white.
Harley chose a ball without looking and had the chance of 3 in 8 of choosing a white ball.
How many black balls are in Harley's bag?
Algebra, NAPX-p106742v02
A Cartesian plane is shown below.
Which statement is true?
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Algebra, NAPX-p106742v01
A Cartesian plane is shown below..
Which statement is true?
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Number, NAPX-p109430v02 SA
Alejandro makes sangria for his Spanish restaurant.
A glass of sangria has a mass of 240 grams and contains 120 millilitres of sangria.
What is the total mass of glasses that contain 3.6 litres of sangria?
kilograms
Number, NAPX-p109430v01 SA
Fillon produces fresh milk.
A bottle of milk contains 500 millilitres and has a mass of 600 grams.
How many litres of milk has Fillon produced if the bottles have a total mass of 15 kilograms?
litres
Geometry, NAPX-p109193v02 SA
A scale diagram is shown below and represents the distances between 3 cities.
The distance from City A to City B is 84 kilometres.
What is the distance from City B to City C?
kilometres
Geometry, NAPX-p109193v01 SA
The ports A, B, and C are marked in the scale diagram below.
The distance from Port A to Port B is 35 kilometres.
What is the distance from Port B to Port C?
kilometres
Measurement, NAPX-p111988v02
Mario sketches an irregular plot of land, pictured below.
What is the perimeter of this polygon in metres?
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167 m |
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192 m |
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244 m |
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248 m |
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261 m |
Show Worked Solution
Measurement, NAPX-p111988v01
Jason draws an irregular shape as shown below.
What is the perimeter of this shape in metres?
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113 m |
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131 m |
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134 m |
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136m |
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143 m |
Show Worked Solution
Number, NAPX-p110751v02 SA
In a bulk food supermarket, a kilogram of pepper costs $14.
Nancy bought 2.65 kilograms of pepper for her restaurant.
How much did Nancy pay for the pepper?
| $ |
Number, NAPX-p110751v01 SA
A kilogram of apples cost $8.
Danica bought 6.35 kilograms of apples.
How much did Danica pay for the apples?
| $ |
Measurement, NAPX-p169879v02 SA
Timothy sketched a plot of land with the following measurements in metres.
What is the area of the land in square metres?
| square metres |
Show Worked Solution
Measurement, NAPX-p169879v01 SA
Hana sketches a shape with the following measurements in centimetres.
What is the area of the shape sketched by Hana?
| square centimetres |
Show Worked Solution
Number, NAPX-p111991v02 SA
Justin went to a lolly shop to buy some sweets and spent $12.
He bought a chocolate bar that cost $5 and 7 pieces of liquorice that cost 40 cents each.
The rest of his money was spent on musk sticks that costs $0.30 each.
How many musk sticks did he buy?
Number, NAPX-p111991v01 SA
Joanna went to the supermarket and spent $52.
She bought $15 worth of meat, 10 energy drinks costing $1.90 each and some bottles of water that cost $1.20 each.
How many bottles of water did she buy?
Measurement, NAPX-p169867v02
Emily walks for 17 minutes to get from her house to Diamond Station.
She then travels by train to Ruby Station.
Emily then walks 21 minutes to the supermarket where she works.
If Emily's shift starts at 6:30, what is the latest time she can leave home to arrive on time?
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4:53 |
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5:08 |
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5:23 |
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5:38 |
Measurement, NAPX-p169867v01
It takes Terry 32 minutes to walk from his home to Train Station A.
He then travels by train to Station C.
Terry then walks to an amusement park which takes him 18 minutes.
What is the latest time that Terry can leave his home to arrive at the amusement park by 5:00?
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2:28 |
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2:48 |
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3:08 |
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3:28 |
Measurement, NAP-L4-CA30
A truck driver plans to drive from Cairns to the Gold Coast.
The driving time for the journey is 19 hours.
The driver must stop for at least 8 hours rest after every 10 hours of driving.
What is the latest time that the driver can depart Cairns on Monday to arrive in the Gold Coast at 2 pm on Tuesday?
| 1 am | 11 am | 1 pm | 7 pm |
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Algebra, NAP-L4-CA29
A florist uses the formula below to estimate the delivery time for an order.
where
Select all the statements which are true.
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A 5-kilometre delivery should take 46 minutes. |
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A 4-kilometre delivery will take 3 minutes longer than a 3-kilometre delivery. |
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Every extra kilometre triples the total delivery time. |
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All deliveries take at least 11 minutes. |
Number, NAP-L4-CA24
An ancient coin is made up of gold and silver in the ratio 1:3.
The coin weighs 21.65 grams.
How many grams of silver are in the ancient coin?
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Measurement, NAP-L4-CA23
A rectangular garden bed is 7 metres long by 4 metres wide.
The garden bed is filled with soil to a height of 50 centimetres.
How many cubic metres of soil are needed to fill the garden bed?
| 11 | 14 | 22 | 1400 |
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Algebra, NAP-L3-NC08 SA
Sabre is saving to buy a new skateboard.
After one week she has saved $11.
She then saves the same amount of money each week.
How much money will Sabre have saved by the end of week 10?
| $ |
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Number, NAP-L4-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 |
Measurement, NAP-L3-CA40
Ken puts two cardboard squares together, as shown in the diagram below.
The squares have areas of 4 cm² and 25cm².
Ken draws a line from the bottom left to top right, and shades the region above the line.
What is the area of the shaded region?
| 13.5 cm² | 14.5 cm² | 17.5 cm² | 19 cm² |
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Show Worked Solution
Number, NAP-L3-CA37
Pat, Mitch and Josh entered a long distance relay as a team.
They divided the total distance into 20 equal sections.
Pat ran
Mitch ran
What fraction of the total distance did Josh ran?
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Statistics, NAP-L3-CA35
Students at a high school were surveyed to find whether they did exercise before school.
The graph below shows the results.
There were 150 17-year-old students at the high school.
How many 17-year-old students responded 'Every Day'?
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Number, NAP-L4-CA33 SA
Genghis and Kublai are shooting arrows at a target.
Genghis shoots an arrow every 3 seconds.
Kublai shoots an arrow every 8 seconds.
They shoot their first arrow together at 10:00 am.
How many more times will they shoot arrows at exactly the same time in the next 3 minutes?
Number, NAP-L3-CA34 SA
Genghis and Kublai are shooting arrows at a target.
Genghis shoots an arrow every 3 seconds.
Kublai shoots an arrow every 8 seconds.
They shoot their first arrow together at 10:00 am.
How many more times will they shoot arrows at exactly the same time in the next 3 minutes?
Probability, NAP-L3-CA33 SA
Rachel has a bag that contains 6 blue and 4 green balls.
She selects one ball at random and records its colour. The ball is then put back into the bag.
Rachel does this 50 times.
How many times should Rachel expect to select a green ball from the bag?
Measurement, NAP-L3-CA32 SA
Ronald places 5 identical hexagonal tiles side-by-side to make the pattern pictured below.
Each tile has a perimeter of 24 cm and is in the shape of a regular hexagon.
What is the perimeter of the large shape, in centimetres?
| cm |
Number, NAP-L3-CA30 SA
Petrol costs 158.5 cents per litre.
How much does 12 litres of petrol cost?
| $ |
Measurement, NAP-G2-37v1
Dom times how long it takes her to get home on the bus each day.
Last year, Dom's quickest bus ride home from school was 14 minutes and 23 seconds.
She recorded the time like this.
This year, Dom's quickest bus ride home was 3 minutes and 35 seconds faster.
What is the quickest time this year?
Number and Algebra, NAP-J2-42 SA
Bert and Ernie are standing in a line, waiting to go into their classroom.
There are:
- 9 people between Bert and Ernie.
- 14 people in front of Bert including Ernie.
- 20 people behind Ernie including Bert.
In total, how many people are in the line?
Measurement, NAP-J2-41 SA
Mickey sees this signpost at Disneyland.
How many metres is it from the car park to the gift shop?
| metres |
Number and Algebra, NAP-K2-42 SA
During the week, a cake shop sells cupcakes for $56.00 a dozen.
On Saturday afternoon, the cost of the cupcakes is discounted by 25%.
How much will a dozen cupcakes cost on Saturday afternoon?
| $ |
Number and Algebra, NAP-K2-41
Clarice has read 40 pages of a 60-page book.
Select all numbers that show the fraction of the book Clarice has left to read.
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Measurement, NAP-K2-40
Duke looked at the calendar on 20 March.
He plans to go to a rodeo on 13 April and circled this on the calendar below.
What day of the week is 20 March?
| Tuesday | Wednesday | Thursday | Saturday | Sunday |
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Number and Algebra, NAP-K2-39
Ruby thinks of a number that follows the rules below.
- the number is odd
- the number lies between 4300 and 5100
- the number's digits add up to 12
Select all of the possible numbers that Ruby could be thinking of.
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Number and Algebra, NAP-K2-38
Mike has 84 brochures to give out at a conference.
He puts an equal number of brochures onto each table at the conference and has none left over.
Select all of the options that could show the number of tables at the conference.
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Number, NAP-K4-NC04
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-K4-NC03 SA
In Patrick's school,
There are 742 students at Patrick's school.
How many students live within 5 kilometres?
Number, NAP-K3-NC07
Ruby thinks of a number that follows the rules below.
- the number is odd
- the number is lies between 4300 and 5100
- the number's digits add up to 12
Select all of the possible numbers that Ruby could be thinking of.
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Statistics, NAP-K3-CA36
Two fishing boats record the number of tuna they catch on four fishing trips.
How many more tuna did Boat 2 catch than Boat 1 in total over the four trips.
Measurement, NAP-K3-CA34
Aragorn is fencing a paddock on his property. The total length of fencing he requires is 8.2 kilometres.
The length of the paddock is 2.8 kilometres.
How wide is the paddock?
Write your answer, in kilometres to one decimal place?
| kilometres |
Geometry, NAP-K3-CA32
What is the value of
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Show Worked Solution
Number, NAP-K3-CA31
A biscuit factory produces 72 000 packets of biscuits in a year.
Production is expected to increase by 1500 packets each year.
Which of these will give the best estimate of the production of the biscuit factory in 3 years' time?
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Measurement, NAP-K3-CA30
Sabre want to frame a square photograph that has an area of 64 square centimetres.
Sabre makes the frame using 4 strips of aluminium.
Each strip is 4 centimetres longer than the width of the photograph.
What is the total length of the 4 strips aluminium he uses to make the frame?
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Show Worked Solution
Number, NAP-K3-CA29 SA
The average cost of manufacturing a car tyre is calculated in dollars, and shown below.
What is the average cost rounded to the nearest 5 cents?
| $ |
Number, NAP-K4-CA27
A brand of pasta is sold in two different packets.
What is the difference in the price per kilogram of these two packets?
| $1.50 | $3.00 | $3.60 | $7.20 |
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Algebra, NAP-K4-CA25
55 students at a school need to choose a language to study between Japanese, Mandarin and French.
- Ten more students chose Japanese than Mandarin.
- Half as many students chose French than Mandarin.
How many students chose to study Japanese?
| 9 | 11 | 13 | 28 |
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Algebra, NAP-K4-CA23
A biscuit factory produces 72 000 packets of biscuits in a year.
Production is expected to increase by 1500 packets each year.
Which of these will give the best estimate of the production of the biscuit factory in 3 years' time?
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Algebra, NAP-K4-CA22
What is the equation for the line shown?
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Show Worked Solution
`:. y = 3/2 x + 2\ \ text(is the equation of the line.)“
Algebra, NAP-K4-CA21
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-K4-CA08 SA
The total entry price to a carnival for Carmel and 5 of her friends is $112.50.
What would be the cost of entry for two people?
| $ |
Statistics, NAP-E3-NC29 SA
Melinda and Cathy run the 100 metre sprint in their school athletics carnival.
A device tracks their progress and the results are graphed below.
Melinda starts quickly and passes the 75 metre mark after 10 seconds, slowing down as the race progresses.
Cathy is slower but runs the whole race at the same speed.
How long after Melinda did Cathy pass the 75 metre mark in the race?
| seconds |
Geometry, NAP-G3-NC25 SA
This drawing shows how a large rectangular prism is cut into 3 objects.
Step 1: A medium rectangular prism is cut from a large rectangular prism.
Step 2: The smaller rectangular prism is cut into 2 identical triangular prisms.
What is the total number of faces of the three pieces after Step 2, including the bases?
| faces |
Number, NAP-A3-NC26 SA
This picture shows the length of three shot put throws at a school athletics carnival.
Shot put 2 lands exactly halfway between shot put 1 and shot put 3.
What is the distance between the throw line and shot put 2?
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