Level 3
In a school, 0.8 of the girls and 0.3 of the boys take part in CCAs. There is an equal number of boys and girls who do not take part in CCAs. If 378 pupils do not take part in CCAs, how many more pupils take part in CCAs than those who do not take part in CCAs?
4 m
Level 3
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?
3 m
Level 3
There are some pupils in the zoo. 25 of them are girls, of whom 20% of them do not wear caps. 23 of the boys do not wear caps. What is the percentage of the pupils in the zoo who wear caps?
4 m
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Level 3
A crate contains some kiwis, apples and watermelons. 0.4 of the apples is equal to 80% of the kiwis. The number of watermelons is 12 of the total number of kiwis and apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?
4 m
Level 3
28 kg of potatoes are sorted into 3 sizes; large, medium and small. The ratio by mass of the large to medium to small potatoes is 10 : 3 : 1. There are 45 as many large potatoes as medium potatoes. There are 34 as many small potatoes as large potatoes. There are 10 large potatoes per kilogram. Find the total number of small and medium potatoes.
4 m
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
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 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
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