226 P6.AP.TL.17090807
Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. 37 of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = 227)
3 m
Semicircle Overlapping area Fraction of a whole F Simplest form
227 P5.RD.JM.17083124
Level 3
Leonard had $80 more than his sister. After Leonard spent 25% of his money and his sister spent 75% of her money, they still had $420 left altogether.
  1. How much did Leonard have left in the end?
  2. Express the amount of money his sister had left as a fraction of the amount of money Leonard had in the end. (Give your answer in the simplest form)
5 m
Percent of a whole Percent to units Percent of different bases Money More than or less than All change Model & units table
228 P6.SP.JC.18011321
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
4 m
Rate more than 1 object Duration Volume F Simplest form Mixed numbers More than or less than
229 P6.RD.TL.16010186
Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was 25 the total number of supporters from Thailand.
  1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
  2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?
5 m
Finding ratio Fraction to units Ratio to units Percent to units Combined repeated identity Units table Units manipulation
230 P6.FR.JC.23030105
Level 3 PSLE
Matthew spent 37 of his money to buy 6 identical pens. He spent the rest of his money to buy another 4 such pens and 3 identical files.
  1. What fraction of Muthu's money was spent to buy the 3 files? Give your answer in the simplest form
  2. For every 5 files bought, 1 additional file was given free. How many files would Matthew get in total if he were to spend all his money to buy files only?
4 m
F Multiplication Fraction to units Remainder concept Sets Units method

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