Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
3 m
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
3 m
Level 3
Andy opens up a storybook. The product of the page numbers which face him is 600. What pages is Andy looking at? Give your answers in the following format. (Eg 1, 2)
3 m
Level 3
The following figures are made of ovals.
  1. How many ovals will there be in Figure 6?
  2. How many ovals will there be in Figure 88?
  3. Which figure will have 5305 ovals?
5 m
Level 3
Mr Lim had a square garden as shown in the diagram. He built a path of width 1 m around it. Given that the area of the path was 9 m2, find the area of the garden.
4 m
Level 3
The figure is made up of 2 squares of different sizes. Given that the shaded area is 48 cm2, find the area of the big square.
4 m
Level 1
Which two numbers make 6? Give the answers in numbers. (Eg 2, 4)
2 m
Level 3
Ryan bought fewer than 15 packets of pencils. Each packet contained 20 pencils. He gave his teachers one packet of pencils each before giving an equal number of pencils to his 11 classmates and had 8 pencils left. He had less than 10 teachers.
  1. How many pencils did each of his classmates receive?
  2. What is the maximum number of teachers he could give a packet each to?
4 m
Level 3
Write '+' or '-' in the circles for the 2 letters.
  1. A
  2. B
3 m
Level 3
Using 7, 8, 9, 0. find the missing digits A B and C D. Give your answers in numbers. (Eg 12, 34)

4 5 A B + C D = 4668
3 m