Level 3
At a gathering, 13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 2 keychains and each girl is given 5 keychains. Each accompanying adult receives 6 keychains. Given that only 368 keychains are given away to boys and adults, how many more children are there than adults?
4 m
Level 3 PSLE
The pupils at a camp are divided in Group A and Group B. The ratio of the number of boys to girls in Group A is 5 : 4. The ratio of the number of boys to girls in Group B is 5 : 1. There are 2 times as many pupils in Group B as in Group A. There are 20 more boys in Group B than Group A. What is the total number of girls?
4 m
Level 3
Some pupils took a Math exam. Their average score was 74.7 marks. One of the pupils' scores was wrongly recorded as 68 marks instead of 86 marks. As a result, the average score was calculated as 73.5 marks. How many pupils sat for the exam?
3 m
Level 3 PSLE
At a swimathon, each swimmer completed either a 2-km route, a 4-km route or an 5-km route. 15 of the swimmers completed the 2-km route, 720 of the participants completed the 4-km route and the rest completed the 5-km route. For every 1 km a participant swam, $8 was donated to charity. A total of $12960 was donated to charity.
  1. What is the ratio of the number of swimmers who completed the 2-km route to the number who completed the 4-km route to the number who completed the 5-km route?
  2. What is the total number of swimmers at the swimathon?
4 m
Level 3 PSLE
Rael, Sam and Fred had 180 stickers altogether. Rael gave 310 of his stickers to Sam and 15 of his stickers to Fred. After that, all three boys had the same number of stickers. What was the difference in the number of stickers between Sam and Fed at first?
3 m
Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and apples?
4 m
Level 3
After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?
4 m
Level 3
A bakery baked some kaya, strawberry and milo cupcakes. For every 3 kaya cupcakes that were baked, 2 milo cupcakes were baked. For every 4 kaya cupcakes that were baked, 3 strawberry cupcakes were baked.
  1. Find the ratio of the number of kaya cupcakes to strawberry cupcakes to milo cupcakes baked.
  2. After the bakery baked another 130 milo cupcakes, 30% of the cupcakes now were milo cupcakes. How many kaya cupcakes did the bakery bake?
4 m
Level 3
The length of Bamboo Pole G is 14 of the length of Bamboo Pole H and the length of Bamboo Pole H is 13 of the length of Bamboo Pole I and 110 of the length of Bamboo Pole J. What fraction of the total length of the 4 planks is Bamboo Pole I?
3 m
Level 3
Three types of pepper, W, X and Y come in containers of 150 g, 300 g and 400 g respectively. Containers of W, X and Y are mixed together in the ratio 1 : 6 : 7 to obtain 38 kg of an assortment of pepper.
  1. How many containers of W and X are used altogether?
  2. Find the difference between the combined weight of all the pepper in containers X and containers Y as compared to the pepper in containers W. Express the weight in kilograms.
4 m