Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
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 PSLE
The table shows the prices of tickets for a soccer match.
The number of adult tickets sold was 5 times the number of child tickets sold. 58 of the adult tickets sold were for adults aged below 60 years. A total of $7020 was collected from the sale of tickets.
  1. What fraction of the tickets sold were for adults aged 60 years and above? Give your answer in the simplest form.
  2. What was the total number of tickets sold to adults?
4 m
Level 2 PSLE
The pie chart shows how Zoe spent her money. The amount of money spent is also represented by the bar graph.
  1. What percentage of her money did Zoe spend on food?
  2. What fraction of her money did Zoe spend on books?
  3. How much of her money was spent on transport?
5 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 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is 110 the area of the square while the area of B is 16 the area of the square.
  1. The total areas of A and B is 240 cm2. What is the length of each side of the square?
  2. What fraction of the square is Area of D?
5 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