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?

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?

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?

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?

Level 3 PSLE
At first, Jack had some money. He spent ¹₄ of it on a T-shirt and ²₅ of the remainder on a pair of shoes. After that, his parents gave him $240. The ratio of the total amount of money he had at the end to the amount of money he had at first was 5 : 4. How much money did Jack have at first?

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.

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?

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?

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?

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?

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?

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?

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?

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.

Level 3
Mr Ken sold some mangosteens, mangoes and lemons. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of mangoes sold to the number of lemons sold was 2 : 19. He sold 110 more lemons than mangosteens. Find the total number of fruits that he sold.

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?

Level 3
Class 5 Goodness and 5 Love had the same number of students. The ratio of the number of girls in 5 Goodness to the number of girls in 5 Love was 1 : 13. The ratio of the number of boys in 5 Goodness to the number of boys in 5 Love was 7 : 1.

1. What is the ratio of the number of boys to the number of girls in Class 5 Goodness?
2. If there were 33 fewer boys than girls in Class 5 Love, how many students were there each class?

Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.

1. What was the percentage increase in Fabian's marbles after receiving from Henry?
2. How many marbles did Gilbert have at first?

Level 3
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave ³₁₀ to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?

Level 3
Rachel had 2060 mℓ more orange juice than Yvonne. After Rachel gave Yvonne 550 mℓ of orange juice, the ratio of Rachel's orange juice to Yvonne's orange juice became 5 : 2. How much orange juice did Rachel have at first? Give your answer in millilitres.