Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
3 m
Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
3 m
Level 3
In the figure. ABCD is a square of side 23 cm. Find the total area of the shaded parts.
3 m
Level 3
A piece of wire 72 cm long is bent to form 2 squares as shown.
  1. What is the length of each side of the square?
  2. What is the area of one square?
4 m
Level 3
The figure is made up of 2 squares of side 8 cm and 6 cm respectively. Find
  1. the perimeter of the figure.
  2. the area of the figure.
4 m
Level 3
Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.
  1. What is the height of the cuboid?
  2. If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?
4 m
Level 3
The figure is made up of 3 squares of side 4 cm, 7 cm and 10 cm. Find
  1. the perimeter of the figure.
  2. the area of the figure.
4 m
Level 3
  1. Find the perimeter of the shaded region. (Take π = 3.14)
  2. Find the unshaded area of this figure. (Take π = 3.14)
3 m
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
3 m
Level 3
The figure is made up of 3 squares of side 3 cm, 5 cm and 7 cm. Find
  1. Perimeter of the figure.
  2. Area of the figure.
4 m
Level 3
The figure is made up of curved lines (arcs) of quadrants with radius of different lengths in a square of edge 6 cm. Find the total shaded area. (Take π = 3.14)
3 m
Level 3
The figure is made up of 2 rectangles A and D and 2 squares B and C. Find the area of the figure.
3 m
Level 3
Study the pattern carefully.
  1. How many shaded squares are there in Pattern 4?
  2. How many squares are there altogether in Pattern 7?
  3. In which pattern will you find 37 shaded squares?
5 m
Level 3
The larger square has a length of 5 cm and the smaller square has a length of 3 cm. Find the difference in the area between 2 squares.
4 m
Level 3
The figure is made up a rectangle and a square.
  1. Find the perimeter of the figure.
  2. Find the area of the figure.
3 m
Level 3
A piece of wire was 5 m long. Henry cut out part of the wire and bent it into 3 squares of different sizes as shown. What was the length of the wire left? (Give your answer in m and cm.)
4 m
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
4 m
Level 3
WXYZ is a square of side 14 cm. The shaded area is 64 cm2. Calculate the total areas of A, B, C and D. (Take π = 227).
3 m
Level 3
The diagram shows a sequence of patterns formed by identical triangles. Find the values of (i), (ii) and (ii). Give your answers in the following format. (Eg 1, 2, 3)
  1. A figure in the pattern has a total of 169 triangles. What is the Figure Number?
  2. Another figure has 50 more shaded triangles than unshaded triangles. What is the total number of triangles in this figure?
5 m
Level 2
Find the difference in the perimeter between 1 square and 1 rectangle.
4 m