Level 3
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?
3 m
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
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
Farmer Nick has 4 rabbits. The mass of Rabbit G is the same as the average mass of the 4 rabbits. Rabbit H weighs 5 kg less than the average mass of the 4 rabbits. The mass of Rabbit I is 7 kg more than the average mass of the 4 rabbits. The mass of Rabbit J is 34 kg. Find the total mass of the 4 rabbits.
3 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 PSLE
At first, Leah had a total of 66 blue and purple balloons. 17 purple balloons burst. She then increased the number of blue balloons by 75%. After that, Leah had a total of 79 balloons. How many purple balloons did she have at first?
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
There were 4 more girls than boys in the classroom. Excluding 2 boys, the number of boys was 56 of the number of girls. When another 4 girls joined, what fraction of the pupils were girls? Give the answer in its simplest form.
3 m
Level 3
Wendy has a bag containing some violet and blue lollipops. If she adds in 15 violet lollipops, 25% of the lollipops in the bag are blue. If she adds in another 25 blue lollipops, 40% of the lollipops in the bag are blue. How many violet lollipops are in the bag?
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
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
The total monthly incomes of 24 men is $51000. 58 of them earn the same monthly income each. Each of the remaining men earns 4 times as much monthly. Find the difference between the higher income and the lower income per month.
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
The ratio of blue to purple stamps Eva had was 5 : 2. The cost of each of the blue stamps was $1 and the cost of each of the purple stamps was $2. Eva sold 40% of the blue stamps and the total cost of the unsold stamps was $455. How many blue stamps did she have left?
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
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
A caterer prepares fish balls for some people attending a party. The ratio of the number of adults to the number of children attending is 2 : 5. Among the children, the ratio of the number of girls to the boys is 4 : 1. A total of 180 fish balls are prepared so that each adult gets 4 fish balls and each child gets 2.
  1. What fraction of the people attending the party are boys?
  2. How many children are attending the party?
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