Level 3
The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.
  1. Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
  2. Find the total surface area of the L-shaped block after cutting.
5 m
Level 3
There is a 4-digit number. The digit in the hundreds place is thrice the digit in the ones place. The digit in the thousands place is the smallest even number. The sum of all the digits is 21. What is the number?
3 m
Level 2
Place the digits 9, 3, 2, 7 into the boxes on the right to give the largest product.
3 m
Level 1
What is the largest 5 digit number that has 5 as one of its factors and is less than 100000?
3 m
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
  1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
  2. Find the smallest possible second lowest mark among these 6 children.
  3. Find the largest possible second lowest mark among these 6 children.
5 m
Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
  1. What is the greatest number of groups Mr Tan can form with these conditions?
  2. How many children are in each group?
4 m
Level 1
Which is the smallest number?
9, 20, 18, 10
2 m
Level 3
Becky filled a rectangular container which had a base area of 40 cm2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
  1. What was the length of each side of the metal cube?
  2. After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
5 m
Level 1
Which is the greatest number?
16, 10, 13, 9
2 m
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m