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
Level 3
In a restaurant, a rectangular table can seat 10 persons and a round table can seat 5 persons. During lunch time, all the tables in the restaurant were occupied. The number of each type of table in the restaurant is more than 10 and less than 15. If there were 205 customers, how many tables of each type were there for them?
(a) Round tables
(b) Rectangular tables
4 m
Level 3
70 ÷ A = A remainder B
A x B = 48
Find the following values.
  1. A
  2. B
4 m
Level 3
Jack paid 90¢ for 2 different fruits. Which 2 fruits did he buy?
  1. Apple and banana
  2. Banana and orange
  3. Apple and strawberry
  4. Strawberry and orange
4 m
Level 3
Chris bought two of the items shown. He has $12 left after paying $50 to the cashier. Which two items did he buy? Give the answers in letters. (Eg a, b)
4 m
Level 3
Cindy bought 6 pens and sharpeners altogether. The mass of each pen was 3 g. The mass of each sharpener was 5 g. The pencils and sharpeners weigned 21 g in total.
  1. How many pens did Cindy buy?
  2. How many sharpeners did Cindy buy?
4 m
Level 2
The table shows the number of apples in each box. Ginny need 114 apples. Which 2 boxes must she take? Give the answer in letters. (Eg A, B)
4 m
Level 2 PSLE
The sum of two numbers is 95. One of the numbers is a multiple of 9. The other number is a factor of 15. What is the difference between the 2 numbers?
2 m