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
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 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
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
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
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
Level 3 PSLE
Three girls used the same number of pearls to make necklaces. Dana used 25 of her pearls, Esther used 34 of hers and Fina used 23 of hers. They had a total of 1440 pearls at first. How many pearls did each girl use?
3 m
Level 2 PSLE
At first, Binbin had 75 dolls and some soft toys. After she gave away 25 dolls and 20% of the soft toys, she had a total of 74 dolls and soft toys. How many soft toys did Binbin have at first?
3 m
Level 3
Rael and Ethan had some coins in the ratio of 11 : 6. Ethan and Sean had some coins in the ratio of 2 : 1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?
4 m
Level 3 PSLE
Ian had a total of 810 long and short rulers. After selling an equal number of both types, he had 13 of the long rulers and 16 of the short ones left. What was the total number of rulers left?
3 m
Level 3
Rael, Henry and Will shared $117. During a shopping trip, Rael spent 16 of his share, Henry spent 15 of his share and Will spent 12 of his share. Given that all three boys each spent the same amount of money, how much more money do Rael and Henry have than Will in the end?
3 m