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 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
4 m
Level 2
The graph shows the temperature of water in a pot from 08 00 to 08 30.
  1. For how many minutes was the temperature of the water 50°C and below?
  2. During which two 5-minute intervals did the temperature of water decrease at the same rate?
  3. What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
3 m
Level 3
A van travels 20 km in 5r minutes. How far will it travel in 2 hours?
3 m
Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
3 m
Level 3
Four children made the following statements. Winnie : The average of Yoko's mass and my mass is 39 kg. Xtra : I am the heaviest. Yoko : Zane is 2 kg lighter than Xtra. Zane : Our masses are in consecutive order (In running sequence). What is the total mass of Winnie, Xtra and Yoko ?
3 m
Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
3 m
Level 2
The pie charts show the number of each type of stationery in boxes, A and B. The total number of stationery in Box A is twice the total number of stationery in Box B.
  1. Find the percentage of erasers in Box A.
  2. What fraction of stationery in Box B is erasers?
  3. The number of erasers in Box A is 40. Find the number of erasers in Box B.
3 m
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?
4 m
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
3 m