101 P5.ST.JC.18121206
Level 3
The average cost of some books is $30.
If 3 of the books are now each $15 more and
2 of the books are now each $5 less,
the average cost of the books becomes $32.
How many books are there altogether?
3 m
2 averages Averaging out Average with unknown quantity Number x value Units equations Units table
102 P5.ST.JC.18121207
Level 3
The average cost of some books is $10.
After 2 new books are added,
it adds another $60 to the total cost.
As a result, the average cost of all the books increases to $20.
How many books are there at first?
3 m
2 averages Averaging out Average with unknown quantity Number x value Units equations Units table
103 P5.ST.JC.18121208
Level 3
The average cost of some books is $30.
After 2 new books are added,
it adds another $10 to the total cost.
As a result, the average cost of all the books decreases to $20.
How many books are there at first?
3 m
2 averages Averaging out Average with unknown quantity Number x value Units equations Units table
104 P5.FR.JM.17083064
Level 2
John spent $90 on a webcam. This was 56 of his savings. How much savings had he left?
2 m
Fraction of a whole Money Units method
105 P5.VO.JM.17083128
Level 2
The height of a rectangular tank is 21 cm. When 8400 cm3 of water is in the tank, it is 23 full. What is the base area of the tank?
2 m
Volume of cuboid Base area x height Fraction to units Units method
106 P5.PC.NK.22122109
Level 2
Last year, Wesley saved $600 monthly. This year, he increased his monthly savings by 20%. How much more money will he be able to save this year compared to last year?
2 m
Percent change by Money More than or less than Units method
107 P5.ST.JC.18121183
Level 2
Adam builds a toy car in 3 hours.
Bryan builds a toy car in 6 hours.
If they work together,
how long does it take to build a toy car?
3 m
Fractions with units F 4 operations Rate more than 1 object
108 P5.ST.JC.18121185
Level 2
Adam builds a toy car in 3 hours.
Adam and Bryan builds a toy car in 5 hours.
If Bryan builds a toy car by himself, how long will he take?
(Give the answer in fraction. Eg 1 13 h)
3 m
Fractions with units F 4 operations Rate more than 1 object
109 P5.AN.JM.17083101
Level 2
ABCD is a rectangle. Given that ∠x is twice the size of ∠y, find ∠x.
2 m
Right angle Rectangle Times as many Units method
110 P5.ST.JC.18121184
Level 3
Adam builds a toy car in 3 hours.
Bryan builds a toy car in 6 hours.
Chris builds a toy car in 5 hours.
If they work together,
how long does it take to build a toy car?
(Give the answer in fraction. Eg 1 13 h)
3 m
Fractions with units F 4 operations Rate more than 1 object
111 P5.ST.JC.18121186
Level 3
Adam and Bryan builds a toy car in 4 hours.
Bryan and Chris builds a toy car in 6 hours.
Chris and Adam builds a toy car in 3 hours.
How long does it take for Adam, Bryan and Chris to build a toy car together?
3 m
Fractions with units F 4 operations Rate more than 1 object
112 P5.RA.JM.17083107
Level 2
A box contains some red, yellow and blue sweets. The ratio of the number of red sweets to the number of yellow sweets is 2 : 3. The ratio of the number of yellow sweets to the number of blue sweets is also 2 : 3. What is the ratio of the number of red sweets to the number of blue sweets in the box?
2 m
Finding ratio Repeated identity Units method
113 P5.DA.JM.17083174
Level 2
Four boys had an average score of 79 marks on the same test. Sam scored 6 points higher than Jason. How many marks did Sam score?
2 m
Average More than or less than Units method
114 P5.ST.JC.18121061
Level 3
Some children board a school bus.
At Bus Stop A, 25 of them alight
and 6 children board.
At Bus Stop B, 13 of the children alight
and 4 board.
If there are 20 children on the bus now,
how many children are on the bus at first?
3 m
Fraction of a set Fraction to units Remainder concept Working backwards Units & parts
115 P5.DA.NK.23052612
Level 2
David is 10 kg heavier than John and 8 kg heavier than Luis. The average mass of the 3 men is 77 kg. Find the average mass of John and Luis.
2 m
Average Mass More than or less than Units method
116 P5.DA.JM.17083179
Level 2
The average of two numbers is 57. If one number is twice the other number, what is the bigger number?
2 m
Average Times as many Units method
117 P5.DA.JM.17083195
Level 2
The average of two numbers is 40. If one number is thrice of the other, find the bigger number.
2 m
Average Times as many Units method
118 P5.ST.JC.18121062
Level 2
A box is 700 g when it is filled with stickers.
If 35 of the stickers are removed,
the mass of the box with the remaining stickers is 400 g.
What is the mass of the empty box?
2 m
Fraction of a set Fraction to units Repeated identity Units method
119 P5.PC.JM.17083180
Level 2
Janet and her two sisters shared the bill in a restaurant equally. If each of them paid $22 inclusive of a service charge of 10%, how much is the total service charge?
2 m
Percent to units Money Units method
120 P5.DE.JM.17082997
Level 2
Tesssa has $16 worth of coins. 12 of them are 50¢ coins and 5 of them are 20¢ coins. The rest are $1 coins. How many coins does Tesssa have altogether?
2 m
Money Units conversion

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