Number, NAPX-F4-NC30 SA
Sisko keeps a tin of lollipops on his desk at home.
His son Tardis takes 1 lollipop out every 4 days.
Sisko adds a new lollipop to the tin every 5 days.
The lollipops in Sisko's tin are decreasing by 1 lollipop every `x` days.
What is the value of `x`?
Number, NAPX-F4-NC28 SA
`P, Q, R` and `S` are towns that lie on a straight train track as shown below.
The distance between `P` and `Q` is half the distance from `P` to `S`.
The distance from `R` to `S` is one-fifth the distance from `P` to `S`.
The distance from `Q` to `R` is 21 km.
What is the distance between `P` and `S`?
kilometres |
Algebra, NAPX-F4-NC25
Measurement, NAPX-F4-NC24 SA, NAPX-F3-NC27 SA
Number, NAPX-F4-NC23 SA
Geometry, NAPX-F4-NC22 SA
Number, NAPX-F4-NC20 SA
It takes Kate 6 seconds to place a brochure in an envelope and seal it.
How many minutes will it take her to pack and seal 65 envelopes?
minutes |
Algebra, NAPX-F4-NC19 SA
`8x > x^2`
What is the largest whole number `x` can be that makes this expression correct?
Algebra, NAPX-G4-NC30 SA
Sue and Belinda have total combined savings of $32.
If `1/5` of Sue's savings equals `1/3` of Belinda's savings, how much has Belinda saved?
$ |
Measurement, NAPX-F4-CA32 SA
Measurement, NAPX-F4-CA31 SA
Geometry, NAPX-F4-CA30 SA
5 towns are drawn in the diagram below and labelled T1 to T5.
The range of travel times between towns is shown on the diagram.
What is the shortest possible travel time from T1 to T5?
minutes |
Algebra, NAPX-F4-CA29 SA
The mass of a trout fish is 16.9 kilograms.
It's length is 1.24 metres.
A rule that can be used to approximately predict the length of a trout from its mass is
`l = sqrt(m/10)`
where `l` is the length of the trout in metres and `m` is the mass in kilograms.
What is the difference in centimetres between the trout's actual length and the length predicted by the rule?
centimetres |
Geometry, NAPX-F4-CA27 SA
Geometry, NAPX-F4-CA25 SA, NAPX-F3-CA29 SA
Number, NAPX-F4-CA24 SA, NAPX-F3-CA28 SA
Blart bought a second hand bike at a cost of $440.
He had to spend 55% of his savings to buy the bike.
How much did Blart have in his savings after buying the bike?
$ |
Statistics and Probability, NAPX-F4-CA22 SA, NAPX-F3-CA23 SA
Number, NAPX-G4-NC32 SA
Daniel is in a 2-day rally car race.
On day 1, Daniel takes 1 hour and 20 minutes to travel 115 km.
On day 2, Daniel takes 2 hours to travel 175 km.
What is Daniel's average speed over the 2 days.
kilometres per hour |
Algebra, NAPX-G4-NC31 SA
Manou was cooking a defrosted chicken in his oven and checking its temperature every 7 minutes.
The first temperature taken was − 8.2°C.
The second temperature was 4.2°C.
The third measurement showed that the temperature had increased one and a half times the previous increase.
What was the third temperature?
`\ ^@text(C)` |
Number, NAPX-G4-NC29 SA
Krol has read `7/16` of his new science fiction book.
If the book has 400 pages, how many pages has he read?
Measurement, NAPX-G4-NC28 SA
Algebra, NAPX-G4-NC25 SA
Measurement, NAPX-G4-CA31 SA
Algebra, NAPX-G4-CA29 SA
`2/55 = 2/50 + 1/x`
Find the value of `x?`
Measurement, NAPX-G4-CA27 SA, NAPX-G3-CA30 SA
Number, NAPX-G4-CA26 SA
On a weekend, Abbey works 6 hours at her normal pay rate, 6 hours at time and a half of her normal pay rate, and 3 hours at double her normal pay rate.
Abbey was paid $495.60 in total for this work.
What is her normal pay rate per hour?
$ |
Algebra, NAPX-G4-CA25 SA
Number, NAPX-G4-CA23 SA
`90 - sqrt (18^2 + 80^2)/4 =` |
Measurement, NAPX-G4-CA22 SA
Number, NAPX-G4-CA20 SA
Algebra, NAPX-H4-NC32 SA
Joe is `3/4` the age of Nick.
Kevin is `2/3` the age of Nick.
Joe is `3` years older than Kevin.
How old is Nick in years?
years |
Algebra, NAPX-H4-NC31 SA
Matilda created a shape using equilateral triangles and squares.
She begins by using a triangle with side length 1 cm.
She then adds a square, then another triangle, then a square etc... until she has a shape with a perimeter of 24 cm.
What is the total number of triangles and squares combined that Matilda has used?
Measurement, NAPX-H4-NC29 SA
Number, NAPX-H4-NC23 SA
It takes 5 clowns 6 hours to blow up 600 balloons.
At the same rate, how many hours should it take for 4 clowns to blow up 240 balloons?
hours |
Number, NAPX-H4-NC19 SA
Luigi packs boxes with packets of different types of pasta. He packs one box at a time.
Each box contains 5 packets of spaghetti, 2 packets of fettucini and 1 packet of penne pasta.
Every hour Luigi packs 400 packets of pasta in total.
How many packets of spaghetti does he pack into boxes in one hour.
Number, NAPX-H4-CA31 SA
The product of three different whole numbers is 72.
What is the smallest possible sum of the three numbers?
Geometry, NAPX-H4-CA30 SA, NAPX-H3-CA32 SA
Number, NAPX-H4-CA28 SA
A cement slab is laid in Yvette's backyard that forms an 8 m × 4 m rectangle.
Yvette is going to lay plastic tiles around the edge of her slab using one row of 250 mm × 250 mm tiles.
She will use 50% black tiles costing $6 per tile and 50% white tiles costing $7 per tile.
What is the total cost of the tiles she used?
$ |
Measurement, NAPX-H4-CA25 SA
Rodin makes a large sculpture in the shape of a cube.
The total length of all of its edges is 72 metres.
What is the area of one of the cube's faces?
m² |
Algebra, NAPX-H4-CA24 SA
Number, NAPX-H4-CA23 SA, NAPX-H3-CA28 SA
Candy is saving her money to buy some new riding boots.
After 1 week, she had saved 35% of the cost of the boots.
After 2 weeks, she had saved another $60 and now had 65% of the cost of the boots.
How much do the riding boots cost?
$ |
Measurement, NAPX-H4-CA21 SA, NAPX-H3-CA27 SA
Ona drew a diagram of a skeleton.
The actual length of the skeleton is 180 centimetres.
What is the actual shoulder width of the skeleton?
centimetres |
Number, NAPX-H4-CA15 SA
Geometry, NAPX-I4-NC31 SA
Number, NAPX-I4-NC30 SA
Ziggy rents a hang glider from a hire company.
The cost to rent the hang glider is directly proportional to the number of minutes between the original hire time and when it is returned.
Ziggy's rental cost for 3 hours and 20 minutes is $92.50.
What will be Ziggy's rental cost if he returns the hang glider after 60 minutes?
`$` |
Number, NAPX-I4-NC28 SA
Algebra, NAPX-I4-NC27 SA
Number, NAPX-I4-NC24 SA, NAPX-I3-NC28 SA
Holly picks a 2 digit number at random.
She can give the following clues about her number:
- It is a square number.
- It is divisible by 9.
- It is not divisible by 4.
What is Holly's number?
Measurement, NAPX-I4-NC22 SA
Algebra, NAPX-I4-NC18 SA
Paul and Simon are saving money so they can visit their grandmother on a holiday.
Paul has $200 and plans to save $50 each week.
Simon has $300 and plans to save $25 each week.
After how many weeks will Paul and Simon have saved the same amount?
weeks |
Statistics and Probability, NAPX-I4-NC03 SA, NAPX-I3-NC06 SA
Manuel chooses a positive whole number under 5 and Basil has to guess what number it is.
The probability that Basil chooses the right number is 25%.
What is the probability that Basil chooses the wrong whole number?
% |
Algebra, NAPX-I4-CA32 SA
A miniature engine contains two types of ball bearings.
There are two times as many small ball bearings as large ball bearings.
The mass of a small ball bearing is 190 milligrams and the mass of a large ball bearing is 300 milligrams.
The total mass of all the ball bearings in the engine is 239 grams.
How many ball bearings in total are used in the engine?
Algebra, NAPX-I4-CA31 SA
What is the value of `x` given `7/2 x + 7 = 4x - 5?`
Measurement, NAPX-I4-CA30 SA
A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.
Each smaller triangular prism is 78 cm³ in size.
What is the maximum number of smaller triangular prisms that can fit inside the box?
Measurement, NAPX-I4-CA29 SA
Number, NAPX-I4-CA28 SA
Mr. Soros put $2000 into a simple interest account for a year.
He did not take any money out or add any money to the account.
At the end of the year he had $2080 in the account.
What was the annual percentage interest rate?
% |
Measurement, NAPX-I4-CA27 SA
Geometry, NAPX-I4-CA25 SA
A regular pentagon can be divided into three triangles from one vertex, as shown below.
What is the size of the internal angle `x°`?
degrees |
Number, NAPX-I4-CA23 SA, NAPX-I3-CA29 SA
A fruit platter contains the following pieces of fruit:
- 6 plums
- 5 less cherries than strawberries
- 2 times as many strawberries as plums
- 3 apples and 2 pears
- the number of strawberries is one third the number of grapes.
How many pieces of fruit are in the platter?
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