21 P6.VO.NK.17053174
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
3 m
Volume of cube Displacement Units & parts Elimination
22 P6.RA.TL.16010132
Level 3
The ratio of the number of scones to the number of muffins in a bakery was 2 : 3. After 4 scones and 8 muffins were packed into each box, there were a total of 7 scones and 1 muffin left. Find the total number of scones and muffins in the bakery at first.
4 m
Ratio to units All change Units table Units & parts Elimination
23 P6.FR.JC.17050712
Level 3
At first, Tina had 23 as many stickers as Esther. After Tina bought another 8 stickers and Esther lost 5 stickers, Tina had 45 as many stickers as Esther. Find the number of stickers Tina had at first.
3 m
Fraction to units All change Units table Units & parts Elimination
24 P6.FR.JC.17052906
Level 3 PSLE
There were 95 oranges and apples altogether. After 23 of the oranges and half of the apples were sold, there were a total of 40 oranges and apples left. What fraction of the fruits were oranges at first? Give the answer in its simplest form.
3 m
Fraction to units F Simplest form All change Units table Units & parts Elimination
25 P6.VO.JC.22100305
Level 3 PSLE
Ann had some identitical cuboids with square base and height, h. She then stacked the cuboid to form the 2 towers. The figure shows the front view and the side views of the 2 towers.
  1. Find h.
  2. Find the volume of the cuboid.
4 m
Volume of cuboid Cube view Units & parts Elimination
26 P6.RD.JC.19052201
Level 3
Bryan's money was 335 times his sister's money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?
4 m
Improper Fractions Times as many All change Units table Units & parts Elimination
27 P6.RD.TL.16010142
Level 3
A bag had some violet erasers and yellow erasers in the ratio of 3 : 1. Queenie removed 35 violet erasers and put another 15 yellow erasers into the bag. There is now 50% as many violet erasers as yellow erasers in the bag. How many violet erasers were in the bag at first?
4 m
Ratio to units Percent to units All change Units equations Units table Units & parts Elimination
28 P6.RD.TL.16010164
Level 3
Will, Xavier and George had a total of 670 pens. The ratio of the number of pens Xavier had to the number of pens George had was 4 : 5. After Will and Xavier each gave away half of their pens, the 3 children had 395 pens left. How many pens did Xavier and George have at first?
4 m
Fraction to units Ratio to units Unchanged quantity All change Units table Units & parts Elimination
29 P6.RD.TL.16010141
Level 3
Container A and Container B had 43 kg of sugar and 51 kg of sugar respectively. If 3 kg of sugar and 8.5 kg of sugar are added into Container A and Container B every day, how many days later will the sugar in Container A be half as much as the sugar in Container B?
4 m
Fraction of a whole Mass All change Units table Decimal units Units & parts Elimination
30 P6.RD.TL.16010172
Level 3
Rael, Peter and Zane had a total of 839 erasers. The ratio of Peter's erasers to Zane's erasers was 4 : 3 at first. Rael and Peter each gave away 12 of their erasers. Given that the three boys had 502 erasers left, how many erasers did Rael have at first?
4 m
Fraction to units Ratio to units All change Units table Units manipulation Units & parts Elimination
31 P6.FR.TL.16010150
Level 3
Container W and Container X were filled completely with sugar. The total mass of 15 of the sugar in Container W and 111 of the sugar in Container X was 640 g. If 411 of the sugar in Container X was poured out, the total mass of the sugar in both containers became 3.54 kg. How much sugar was in
  1. Container W?
  2. Container X?
4 m
Fraction of a whole Mass Units & parts Elimination
32 P6.DE.TL.16010113
Level 3
2 honeydews and 3 mangosteens cost $2.20 altogether. 5 honeydews and 5 mangosteens cost $4.40 altogether. How much do 10 honeydews cost? Give the answer to 2 decimal place.
4 m
Money Unit conversion Units & parts Elimination
33 P6.RD.TL.16010148
Level 3
Vincent and George had 852 notebooks together. Vincent had 210 more notebooks than George. Both of them sold some of their notebooks. George sold 20% less notebooks than what Vincent sold. In the end, George had half as many notebooks left as Vincent. How many notebooks had Vincent left?
4 m
Fraction to units Percent to units More than or less than All change Units table Units & parts Elimination
34 P6.PC.TL.16010126
Level 3
On a shelf, there were 28 T-shirts and hoodies. Mr Lin spilt hot chocolate on the shelf and stained 50% of the hoodies and 20% of the T-shirts. If 20 T-shirts and hoodies were still clean, how many stained hoodies were there?
4 m
Percent to units Percent of different bases All change Units table Units & parts Elimination
35 P6.PC.TL.16010125
Level 3
Ethan had 40% as many beads as Ben. After Ethan and Ben bought another 50 beads and 15 beads respectively, Ethan had 50% more beads than Ben. How many beads did Ethan have at first?
4 m
Percent to units Percent of different bases More than or less than All change Units table Units & parts Elimination
36 P6.AP.TL.17090784
Level 3 PSLE
In the figure, the square LMNO is made up of two parts, X and Y. The part, X, is formed by a semicircle and the line LM. The perimeter of X is 36 cm and the perimeter of the shaded part, Y, is 64 cm.
  1. Find the perimeter of the square LMNO.
  2. Find the area of the shaded part Y. (Take π =227)
3 m
Square Semicircle Composite figure area Units & parts Elimination
37 P6.DE.TL.16010142
Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.
5 m
Mass Unit conversion Times as many Repeated identity Units & parts & boxes Elimination
38 P6.DE.TL.16010143
Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.
5 m
Mass Unit conversion More than or less than Times as many Repeated identity Units & parts & boxes Elimination
39 P6.RA.TL.16010149
Level 3
Henry's salary to Ken's salary is 5 : 7. The former saves $320 while the latter saves $232. If Ken's spending to Henry's spending is in the ratio of 8 : 5, what are Henry's and Ken's salaries respectively?
(a) Henry
(b) Ken
5 m
Ratio to units Money All change Units table Units & parts Elimination
40 P6.RA.TL.16010130
Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?
5 m
Ratio to units More than or less than Times as many All change Units table Units & parts & boxes Elimination

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