81 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
82 P6.RD.JC.16010121
Level 3
34 of Eva's money was equal to 12 of Anna's money at first. After Eva spent $1.70 and Anna spent $0.70, Eva had 35 as much money as Anna.
  1. How much did Anna have at first? Express the answer(s) in 2 decimal places.
  2. How much did Eva have in the end? Express the answer(s) in 2 decimal places.
4 m
D Round off Ratio to units Percent to units Common numerator All change Units table Units & parts Substitution
83 P6.RD.JC.16010122
Level 3
14 of the number of sheep that Farmer Yang head was equal to 25 of the number of sheep that Farmer Tan had. When Farmer Yang sold 300 of his sheep and Farmer Tan bought another 40, the ratio of the number of sheep that Farmer Yang had to the number of sheep Farmer Tan had 7 : 5. What was the total number of sheep that the 2 farmers had at first?
4 m
Fraction to units Ratio to units Common numerator All change Units table Units & parts Substitution
84 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
85 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
86 P6.RD.TL.16010144
Level 3
The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up 25 of her money to pay for her share. After paying for her share, Yvonne had $78 left. How much was the birthday present?
4 m
Fraction of a whole Ratio to units All change Units table Decimal units Units & parts Substitution
87 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
88 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
89 P6.AP.TL.17090778
Level 3
One part of a car wheel was stained with paint on its surface. The diagram showed the tyre marks made by the car wheel when the vehicle moved through a certain distance. Find the radius of the car wheel. Round off the answer to 2 decimal place. (Take π = 227)
3 m
Circumference Distance apart Units & parts
90 P6.RD.TL.16010138
Level 3
15 of the guests at a stadium were women. 80% of the remaining guests were men and the rest were children. The number of men was 476 more than the total number of women and children. After some men left the stadium, 20% of the guests that remained were men. How many men left the stadium?
4 m
Fraction to units Percent to units Percent of different bases More than or less than Remainder concept All change Units table Units manipulation Units & parts Substitution
91 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
92 P6.FR.TL.16010151
Level 3
Madam Lin packed some stickers for a party. She packed 34 of the stickers into 6 blue bags and the rest into 26 violet bags. There were 90 stickers altogether in 1 blue and 2 violet bags. How many stickers did Madam Lin have at first?
4 m
Fraction to units Units table Units & parts Substitution
93 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
94 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
95 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
96 P6.RD.TL.16010114
Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave 13 of her beads to Gillian. In return, Gillian gave 15 of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?
4 m
Fraction to units Equal stage after Internal transfer Unchanged total Working backwards Units table Units & parts Substitution
97 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
98 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
99 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
100 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

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