Level 3
In a container, there are candies of 3 colours, yellow, white and purple. There are 108 more white candies than purple candies. The number of purple candies is 12 more than the yellow candies. Given that the number of purple candies is 24% of the total number of candies in the container, how many more white candies are there than yellow candies?
4 m
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
2 m
Level 3
The ratio of saloon cars to the total number of cars on display in Ken's car shop was 2 : 7. 25 of the remaining bikes on display were family cars and the rest were electric cars and sports cars in the ratio of 10 : 3. If there were 16 more electric cars than saloon cars, how many sports cars were there?
4 m
Level 3
During a survey, some people responded that they preferred badminton to other sports. The ratio of the number of women to the number of men who liked badminton was 3 : 1. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. If 20% of the people who did not like badminton were women, what was the ratio of the number of men to the number of women chosen for the survey?
4 m
Level 3
In the stationery shop, 14 of the books sold were Math books. 13 of the remaining books sold were English books. The ratio of the number of English books sold to the number of Chinese books was 7 : 6. The number of Science books sold was 56. How many books were sold altogether?
4 m
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
At a school sports festival, 13 of the participants were P5 and P6 students. 25 of the remaining participants were P3 and P4 students. The rest were P1 and P2 students in the ratio of 3 : 7 respectively. There were 208 fewer P1 students than the total number of P5 and P6 students. How many students were there at the school sports festival?
4 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
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
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