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 2
There are 264 passengers on board a ship. The ratio of children and adults is 4 : 9. There are 18 more men than women. How many men are there on the ship?
3 m
Level 2
There are between 100 and 120 lollipops in a jar. The lollipops can be shared equally among 7 or 8 children. How many lollipops are there in the jar?
2 m
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
3 m
Level 2
The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.
  1. Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
  2. lf ∠e = 32°, find ∠f.
2 m
Level 2
The figure shows two identical semicircles. X and Y are the centres of the semicircles. Line AB is 60 cm. 15 of each semicircle is shaded. Find the total area of the shaded parts. (Take π = 3.14)
2 m
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
  1. Find the area of the shaded face.
  2. Find the volume of the cube.
3 m
Level 2
In the figure, ABCD is a rectangle. Find the area of the shaded part.
2 m
Level 2
The table shows the time taken by 5 girls to fold a paper rose. What is the total time taken by the 5 girls? Write the answer in minutes and seconds.
2 m
Level 2
Find the missing digits.
  1. A
  2. B

      8 5 7 A
-        2 B 1
      8 3 4 5
2 m