Level 1 PSLE
In a group of 70 children, 49 are girls. What is the ratio of the number of boys to the number of girls?
1 m
Level 1 PSLE
There are 45 biscuits in a box. 27 of them have raisins while the rest are plain. What is the ratio of the number of plain biscuits to that of raisin biscuits in the box?
1 m
Level 2 PSLE
The table shows the number of children at a sports club from July to September.
  1. Find the ratio of the number of children in July to August to September. Give your answer in the simplest form.
  2. The ratio of the number of children in September to October was the same as the ratio of the number of children in July to August. How many children were there in October?
2 m
Level 2
30% of Nick's money is 45% of Sean's money. What is the ratio of Nick's money to Sean's money?
2 m
Level 2
0.7 of Ian's money is equal to 80% of Sean's money. What is the ratio of Ian's money to Sean's money?
2 m
Level 1
Find the following values without a calculator. Simplify to the simplest form.
  1. 10 : 20 = _____
  2. 130% : 30% =
  3. 1.2 : 0.3 = _____
  4. 15 : 12 = _____
4 m
Level 2 PSLE
Rectangle ACEF is made up of two squares and two rectangles. AB = 2 cm and BC = 3 cm. What fraction of rectangle ACEF is shaded?
2 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 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
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
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 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 PSLE
In the figure, ABCD is a rectangle and AED is a right-angled triangle with sides measuring 30 cm, 40 cm and 50 cm. The perimeter of the shaded part is 176 cm. What is the ratio of the area of the triangle to the area of the shaded part? Give your answer in the simplest form.
4 m
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
  1. Find the radius of the medium-sized circle.
  2. Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places).
  3. Express the area of the region Y as a ratio to the area of region X.
5 m
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area.
5 m
Level 2
A mini-bus can take either 12 adults or 15 children. There are 6 mini-buses altogether and there are 8 adults in each of the mini-buses. What is the maximum number of children the mini-buses can still take?
2 m