The product of three different positive whole numbers is 48.
What is the smallest possible sum of the three different numbers?
Number, NAPX-p107088v01 SA
The product of three different positive whole numbers is 60.
What is smallest possible sum of the three different numbers?
Number, NAPX-p115611v04 SA
A 5-cent coin has a mass of 3.1 grams.
A 20-cent coin has a mass of 5.3 grams.
Jonathan has 198.4 grams of 5-cent coins.
Kevin has 964.6 grams of 20-cent coins.
How much more worth of coins does Kevin have than Jonathan, in cents?
$
Number, NAPX-p115611v03 SA
A 10-cent coin has a mass of 6.2 grams.
A 5-cent coin has a mass of 2.9 grams.
Rico has 347.2 grams of 10-cent coins.
Jester has 301.6 grams of 5-cent coins.
How much more worth of coins does Rico have than Jester, in cents?
Number, NAPX-p115611v02 SA
A 50-cent coin has a mass of 14.65 grams.
A 20-cent coin has a mass of 12.1 grams.
Karen has 307.65 grams of 50-cent coins.
Shyla has 508.2 grams of 20-cent coins.
How much more worth of coins does Karen have than Shyla?
$
Number, NAPX-p115611v01 SA
A 20-cent coin has a mass of 12.5 grams.
A 5-cent coin has a mass of 2.9 grams.
Harold has 487.5 grams of 20-cent coins.
Rick has 179.8 grams of 5-cent coins.
How much more worth of coins does Harold have than Rick, in cents?
cents
Number, NAP-L4-NC08
A table tennis club increased its membership by exactly 20% in the calendar year.
Select all of the following which could be the number of members the table tennis club had at the end of 2018.
| 24 | 35 | 40 | 52 | 66 |
|
|
|
|
|
|
Number, NAP-L4-CA40 SA
A large can of pasta sauce weighs 550 grams and costs $3.95.
A small can of the same pasta sauce weighs 370 grams and costs $2.75.
How many cents cheaper, per 100 grams, is it to buy the large can of pasta sauce rather than the small can of pasta sauce?
Give your answer to one decimal place.
| cents |
Number, NAP-L4-CA39 SA
At the start of a week, Miley had 2.59 GB of storage on her mobile phone.
During the week she downloaded 60 songs which each took up 6.5 MB of storage.
Miley also downloaded a TV show.
At the end of the week, she had 850 MB of storage left.
How many gigabytes of storage did the TV show use?
Give your answer as a decimal, to two decimal places.
| GB |
Measurement, NAP-L4-CA38
Josh used six identical triangular tiles to form a regular hexagon.
Each tile has an area of 4.8 cm².
Josh then adds more tiles to make a hexagon with double the side length of this hexagon.
What will be the area of this larger hexagon?
|
|
|
|
|
Geometry, NAP-L4-CA37
Statistics, NAP-L4-CA36
Wayne enters into a 10-lap motorcycle race.
He increases his speed each lap for the first 5 laps but has to make a pit stop during lap 6.
Wayne then resumes and increases his speed over the final 4 laps.
Which graph most accurately represents Wayne's 10-lap race?
 |
 |
|
|
|
 |
 |
|
|
|
Show Answers Only
Show Worked Solution
Measurement, NAP-L4-CA35 SA
Shania breeds mice for her cancer research.
She measures the length of their bodies to the nearest tenth of a centimetre when they are 1 week old.
Shania records one mouse's body length as 6.8 centimetres.
What is the smallest measurement the actual body length of that mouse could be?
| centimetres |
Measurement, NAP-L4-CA32
Angenie makes native American textiles.
She uses 16 identical leather equilateral triangles to make a headband.
The perimeter of each triangle is 12 centimetres.
What is the length of the headband?
|
|
|
|
|
|
| 32 centimetres | 34 centimetres | 64 centimetres | 96 centimetres | 102 centimetres |
Measurement, NAP-L4-CA28
A wheel has a diameter of 45 cm.
Which of these is closest to the distance the wheel travels after 2 complete rotations?
| 90 cm | 141 cm | 283 cm | 565 cm | 3181 cm |
|
|
|
|
|
|
Number, NAP-L3-CA38 SA
At the start of a week, Miley had 2.59 GB of storage on her mobile phone.
During the week she downloaded 60 songs which each took up 6.5 MB of storage.
Miley also downloaded a TV show.
At the end of the week, she had 850 MB of storage left.
How many gigabytes of storage did the TV show use?
Give your answer as a decimal, to two decimal places.
| GB |
Number, NAP-L4-CA34 SA
A laundromat can wash 12 loads of laundry in one hour at full capacity.
A standard load of laundry weighs 7 kilograms.
Here is some information about two different washing machines.
Working at full capacity, how many litres of water would the laundromat expect to save in one hour by using the front loader instead of the top loader?
| litres |
Number, NAP-L3-CA36 SA
A laundromat can wash 12 loads of laundry in one hour at full capacity.
A standard load of laundry weighs 7 kilograms.
Here is some information about two different washing machines.
Working at full capacity, how many litres of water would the laundromat expect to save in one hour by using the front loader instead of the top loader?
| litres |
Geometry, NAP-G3-CA29 SA
All lines of symmetry are drawn on a regular hexagon, pictured below.
What is the size of the angle between each line of symmetry at the centre of the hexagon?
Number, NAP-K4-NC08 SA
The colour cerise is made by mixing red, green and blue paint in the ratio
What is the volume, in litres, of green paint required if 6 litres of cerise paint is made?
Write your answer as a decimal.
| litres |
Algebra, NAP-K4-NC07
Nebula sells showbags at the Royal Easter show.
She sells two types, Star Wars and Toy Story showbags, for $10 each.
One day, she sell
Select all of the formulas below that Nebula could use to determine the correct amount of money collected on the day, in dollars.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Number, NAP-K4-NC06 SA
Michael purchases a 3D printer worth $2 490 000.
He was given a 10% discount.
What was the price paid by Michael after the discount?
| $ |
Number, NAP-K4-NC05 SA
Camilla received a total of $250 in cash for her birthday.
She went shopping and bought some shoes that cost $79.95 and a dress that cost $124.50.
How much money does Camilla have left?
| $ |
Number, NAP-K3-NC08 SA
Michael purchases a 3D printer worth $2 490 000.
He was given a 10% discount.
What was the price paid by Michael after the discount?
| $ |
Number, NAP-K3-CA40 SA
Bilbo and Legolas are planning a holiday for 5 days and 4 nights to Mordor.
They expect to spend $62 per person each day on food.
Their total accommodation cost is $183 per night.
They have already saved $250 each towards their holiday.
If they split the remaining cost equally, how much more will Bilbo and Legolas have to save each?
| $ |
Number, NAP-K3-CA39
A chemist sells 3 different sizes of cough mixture.
Ralph buys 0.7 litres of the cough mixture that includes at least one bottle of each size.
Select all of the combinations Ralph could have purchased.
 |
 |
|
|
|
 |
 |
|
|
|
Show Answers Only
Show Worked Solution
Number, NAP-K3-CA38
Lucretia writes 1197 as the product of its prime factors correctly.
Which expression does Lucretia write?
|
|
|
|
|
|
|
|
|
|
|
Number, NAP-K3-CA37 SA
Bert, Gary and Miles are weighing themselves.
Bert weighs 48.65 kilograms.
Gary weighs 0.3 kilograms more than Bert.
Miles weighs 0.75 kilograms less than Bert.
How many kilograms do the three boys weigh altogether?
| kilograms |
Number, NAP-K4-CA40 SA
Jagger makes and supplies fresh muffins to cafes in the city.
As the number of muffins he makes increases, the cost to make each muffin decreases.
He sells the muffins for the same price and takes the orders in multiples of 6.
Assuming the cost per muffin continues to follow the decreasing trend in the table, how much profit will Jagger make on an order of 30 muffins?
| $ |
Number, NAP-K4-CA39 SA
Dante deposits $5000 into a savings account which earns simple interest.
No deposits or withdrawals are made from this account.
After 4 years, Dante notices there is $5600 in the account.
What is the annual rate of interest for the account?
| % |
Measurement, NAP-K4-CA38 SA
Leigh is making a stained glass window in the shape of a hexagon.
It uses aluminium bars for the frame and supports.
The supports are parallel with the sides of the frame, as shown below.
How many metres of aluminium bar are used to make this window?
| metres |
Number, NAP-K4-CA36
Select the expression that is equivalent to
|
|
|
|
|
|
Probability, NAP-K4-CA35 SA
A representative soccer team is chosen from 30 players who play for two clubs, Portland and Lithgow.
10 players from Portland and 20 players from Lithgow are playing in the trials, and 7 players from Portland and 8 from Lithgow are selected in the representative team.
One player at the trial is randomly selected.
What is the probability that the player is from Lithgow and is selected in the representative team?
Give your answer to two decimal places.
Probability, NAP-K4-CA37 SA
Cosette rolls a standard dice 100 times and records the results.
She calculates the experimental probability of rolling different numbers on this dice.
| ● rolling an odd number | 0.47 |
| ● rolling a 4 | 0.15 |
| ● not rolling a 6 | 0.88 |
What is the experimental probability of Cosette rolling a 2 on this dice?
Algebra, NAP-K4-CA34 SA
Jill is driving along a road at 60 km/h.
This graph shows stopping distance for different speeds.
Jill applies the brakes and comes to a stop.
If Jill is travelling at 75 km/h and brakes, how much extra distance does it take her to stop?
| m |
Show Worked Solution
Geometry, NAP-K4-CA33 SA
Robin is designing a target with centre
The diameter of the smallest circle is 36 cm.
Robin makes
What is the diameter of the whole target,
| cm |
Number, NAP-K3-CA35
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 |
|
|
|
|
|
Measurement, NAP-K3-CA33 SA
A horse trough is in the shape of a rectangular prism, pictured below.
What is the capacity of the horse trough in litres?
| litres |
Geometry, NAP-K4-CA32
Quadrilateral
The quadrilateral is rotated 90° anti-clockwise about the origin.
It is then reflected over the
Which statement below is true?
|
|
The coordinates of |
|
|
|
|
|
The coordinates of |
|
|
The quadrilateral |
Show Worked Solution
Number, NAP-K4-CA31
A grain silo is in the shape of a cylinder.
The silo has a diameter of 10 metres.
Grain is poured into an empty silo at a rate of 4 cubic metres per minute.
Approximately how long will it take to completely fill the silo?
|
|
|
|
|
Measurement, NAP-K4-CA30 SA
Hugo makes a rectangular prism by folding the net below.
What is the volume of Hugo's rectangular prism?
| cm³ |
Measurement, NAP-K4-CA26 SA
Percy has a large shower head which has a diameter of 25.5 centimetres.
What is the circumference of the shower head in centimetres, to one decimal place?
| cm |
Statistics, NAP-K4-CA24 SA
A policeman is recording the speed of 25 cars travelling on a highway using a speed gun.
The results are shown in the stem-and-leaf plot.
What is the median speed?
| kilometres per hour |
Geometry, NAP-D4-NC32 SA
Camilla is creating a sculpture using five similar triangles.
What is the size of the angle labelled
| degrees |
Show Worked Solution
Geometry, NAP-F4-CA27 SA
Miko is designing a fan using similar triangles.
The edges of the largest and smallest triangles form a right angle.
What is the size of the angle marked
| degrees |
Show Worked Solution
Geometry, NAP-H3-NC31 SA
Kate cuts a solid prism with six faces in half to make two smaller identical prisms.
What is the least number of faces that one of the smaller prisms could have?
Show Worked Solution
Number, NAP-A3-NC32 SA
Helga uses the two conversion graphs below.
How many Australian dollars are equal in value to 50 British pounds
| Australian dollars |
Geometry, NAP-A3-CA32
Here is a map of Crikey Island.
The shortest distance from Point Nobby to Gilbos is 900 m.
The shortest distance from Point Nobby to Fire Beach is closest to
|
|
|
|
|
Measurement, NAP-A3-CA30 SA
Clancy needs to paint all sides of a triangular prism.
The area of each triangular face is 12 cm².
What is the total area Clancy needs to paint?
| cm² |
Number, NAP-A3-NC31 SA
Maria puts 8 jelly beans in each of 7 party-bags.
She has 4 jelly beans left over.
Maria wants to put 9 jelly beans in each bag.
How many more jelly beans does she needs?
| jelly beans |
Number, NAP-A3-NC30
Which diagram does not have
 |
 |
 |
 |
|
|
|
|
|
Show Answers Only
Show Worked Solution
Geometry, NAP-A4-NC32 SA
Two identical quadrilaterals fit together to make this regular pentagon.
What is the value of
Statistics, NAP-A4-NC31
This graph shows the number of goals a soccer team scored in a full season.
One match incorrectly recorded the team scoring no goals when they scored one.
What effect does this have on the mean and mode of the data?
|
|
The mean decreases and the mode changes. |
|
|
The mean increases and the mode changes. |
|
|
The mean decreases and the mode does not change. |
|
|
The mean increases and the mode does not change. |
Algebra, NAP-A4-NC30
The weight (
Which pair of values satisfy this inequality?
|
|
|
|
|
|
|
|
|
|
|
Number, NAP-A4-NC29 SA
On Thursday Banjo read 30% of a book.
On Friday he read half of the remaining pages of the book.
What percentage of the whole book has Banjo read over the two nights, in total?
| % |
Algebra, NAP-A4-NC28
The value of
|
|
|
|
|
Statistics, NAP-A4-CA32
A survey asked 9 students in Year 7 how many times they had travelled overseas.
Which of the following is true for this data?
|
|
mean > median > mode |
|
|
mean > median < mode |
|
|
mean = median = mode |
|
|
mean = median > mode |
Algebra, NAP-A4-CA31 SA
The cost in dollars to make
How many Star Wars toy figures can be made for a cost of $25 000.
| toy figures |
Geometry, NAP-A4-CA29 SA
This is a diagram of the course for a 40 km bike road race.
The riders start and finish at the Start Gate.
What is the distance between the Starting Gate and the Fork?
| km |
Number, NAP-A4-CA28
A school has 360 students.
The ratio of boys to girls is 4 to 6.
How many boys attend the school?
|
|
|
|
|
- 1
- 2
- 3
- …
- 5
- Next Page »