Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
3 m
Level 2
Find the difference in areas between 1 square and 1 rectangle.
4 m
Level 3
The figures show a square and a rectangle.
  1. Find the perimeter of the rectangle.
  2. Find the difference between the area of the rectangle and the area of the square.
4 m
Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
4 m
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
3 m
Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm2. The length of the bigger square is 6 cm. Find the length of the smaller square.
3 m
Level 3
The figure is made up of a circle, 4 identical semi-circles and a square of side 14 cm. O is the centre of the circle. What is the area of the shaded figure?. (Take π = 227)
3 m
Level 3
The figure is made up of a rectangle P and a square S. Find the perimeter of the figure.
3 m
Level 3
Aisa has 405 cm of lace. She sews the lace around 6 identical square shaped cushion cover. If she uses 89 cm of lace on each cushion covers, how much lace does she need to buy?
3 m
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
3 m
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
3 m
Level 3
Mrs Lim has a rectangular garden fully covered with grass. 4 squares of grass were removed as shown in the diagram. What is the area of the garden covered with grass now?
3 m
Level 3
The figure is made of 5 similar squares and a rectangle. The length of one side of a square is 6 cm. What is the total area of the figure?
3 m
Level 1
Fiona used 4 sticks to make a square shape. How many such shapes can she make with 64 sticks?
2 m
Level 3
The figure shows a sealed bottle of height 35 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20cm. The height of the water in the bottle (shown in Figure A) is 18 cm.

When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 29 cm. How much water can the sealed bottle hold if it is completely filled?
4 m
Level 3
The figure is made up of 1 big square and 4 identical small squares. The area of the figure is 288 cm2
  1. What is the area of each small square?
  2. What is the length of each side of the small square?
3 m
Level 3
The figure is made up of four identical squares of sides 18 cm. Find the total area of the figure that is shaded.
3 m
Level 3
How many pieces of square grass carpets, each of side 4 m long, are needed to cover a rectangular field of length 48 m and breadth 25 m?
3 m
Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
  1. What is the length of AB as shown in Figure 1?
  2. What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
3 m
Level 3
What is the maximum number of squares of side 4 cm that can be cut from a rectangle measuring 81 cm by 74 cm?
3 m