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
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 per month. Find the difference between the higher monthly income and the lower monthly income.
4 m
Level 2
Archie has thrice as many buttons as Flynn. How many buttons must Archie give Flynn so that each of them has 40 buttons?
2 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
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
Adam has 150 blue stickers and red stickers.
60% of them are blue stickers and the rest are red stickers.
When Adam buys more blue stickers,
70% of the stickers are blue stickers.
How many stickers does Adam buy?
4 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
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
Adam has 200 blue stickers and red stickers.
70% of them are blue stickers and the rest are red stickers.
When Adam gives away some blue stickers,
60% of the remaining stickers are blue stickers.
How many stickers does Adam give away?
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
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