Level 3 PSLE
On Saturday, the number of adults to boys to girls visiting a zoo was 3 : 6 : 5. On Sunday, the number of adults visiting the zoo remained the same. However, the number of boys increased by 50% and the number of girls decreased by 20%.
  1. What was the ratio of the number of adults to boys to girls visiting the zoo on Sunday?
  2. On Saturday, 572 boys and girls visited the zoo. What was the total number of visitors at the zoo on Sunday?
3 m
Level 3
The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 14 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
3 m
Level 3 PSLE
The number of boys and girls taking part in a quiz are in the ratio 4 : 7. These students are put into two groups. 60% of the boys and 30% of the girls are in Group 1. The rest of the students are in Group 2.
  1. What is the ratio of the number of students in Group 2 to Group 1? Give your answer in the simplest form.
  2. The number of boys in Group 2 is fewer than 50. What is the largest possible total number of students taking part in the quiz?
3 m
Level 3
The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
3 m
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m
Level 3
The number of girls in the dance club was 25 the number of boys in it. The number of girls in the computer club was 67 the total number of students in it. The total number of students in the dance club was 12 the total number of students in the computer club. Find the ratio of the number of boys in the computer club to the number of boys in the dance club.
3 m
Level 1 PSLE
Mr Lim asked some students to choose their favorite colour for a T-shirt. The results are shown in the graph.
  1. What is the ratio of the number of students who chose purple to the number who chose green to the number who chose yellow?
  2. Mr Yip ordered a total of 360 T-shirts in the three colours according to the same ratio in part (a). How many more yellow than purple T-shirts were ordered?
3 m
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
  1. Find the ratio of the area of Pentagon A to the area of Pentagon C.
  2. 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
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
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 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
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
Peter is 56 of Ethan's age. In 10 years' time, their total age will be 75. What is the ratio of Ethan's age to Peter's age 12 years from now?
4 m
Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
4 m
Level 3
Eva and Fiona went shopping with a total of $200. After Eva spent 34 of her money and Fiona spent $46, the ratio of Fiona's money became 3 times as much as Eva's money. Find the ratio of Eva's money to Fiona's money at first.
4 m
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Level 3
A container holds some water up to a height of 71 cm. When 6 identical plastic balls are put into the container, the water level rises by 18 cm. One plastic ball is then removed from the tank, replaced by one metallic ball. The water level increases to 136 cm.
  1. Find the ratio of the volume of 1 plastic ball to 1 metallic ball.
  2. If the base area of the container is 150 cm2, find the difference in the volume between the metallic ball and the plastic ball. Give the answer in cm3.
4 m
Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.
4 m
Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was 25 the total number of supporters from Thailand.
  1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
  2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?
5 m
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m