Level
Jane had some lollipops. She sold 20% of her lollipops and gave half of the remainder to her brother. After that, she bought 26 lollipops and had a total of 32 lollipops in the end. How many lollipops did Jane have at first?
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
Abi had some bracelets. She gave 13 of the bracelets to her neighbour and gave 25 of the remainder to her brother. She sold the rest at 4 for $6.70. She received a total of $134 from the sales of the bracelets. How many bracelets did she have at first?
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
At a school carnival, each boy received 3 packets of sweets and each girl received 4 packets of sweets. Each accompanying adult received 2 packets of sweets. 27 of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 5 : 8. Given that only 6601 packets of sweets were given away, how many people were there at the carnival?
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
In a supermarket, 65% of the number of vegetables sold were carrots and the rest were potatoes. Each carrot cost 50¢ and each potato cost 10¢ less than the cost of each carrot. Given that $195.30 was collected from the sale of the fruits,
  1. how many carrot were sold?
  2. how much was collected from the sale of the potatoes only?
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
At a concert, 14 of the tickets were sold at full price, 35 of the tickets sold at 40% discount, and the remaining 270 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
4 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 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
Pierre had $77.70 more than Henry. After Henry had spent 23 of his money, Pierre had $114.50 more than Henry. How much money did Pierre have at first?
4 m
Level 3
Jamie had 126 pens. 23 of them were blue pens and the rest were red pens. After she had given away some blue pens, the ratio of the number of blue pens to the number of red pens became 4 : 3. How many blue pens did she give away?
4 m
Level 3
At the ferry transit terminal, 62.5% of the passengers were male and the rest were female. After 81 female passengers entered the terminal, the percentage of the number of female passengers became 60%. Find the number of female passengers at the terminal at first.
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
23 of Sean's savings comprised of 20-cent coins and 50-cent coins. Sean used some 20-cent coins to purchase a toy. The number of 50-cent coins left was 50% more than the number of 20-cent coins left. Given that Sean had 100 more 50-cent coins than 20-cent coins left in the end, find the amount of money Sean spent on the toy.
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
Annie had 23 as many stamps as Becky. The sum of the number of stamps Annie and Becky had was the same as the number of stamps that Callie had. After trading, Callie gave 20% of her stamps to Annie and received 25% of Becky's stamps. If Becky wanted to increase her number of stamps in the end by 25%, find the ratio of her number of stamps to the sum of Annie's and Callie's stamps in the end.
4 m