Level 3
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
3 m
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
The figure shows a rectangle and 3 triangles B, C and D. EF is a straight line. Given that the total area of Triangle B and Triangle C is 70 cm2, find the sum of the areas of A and D.
3 m
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
Level 3
The area of Rectangle AXYD is 15 of the area of the Rectangle ABCD. Find the area of the shaded parts.
3 m
Level 3
The figure is not drawn to scale. ABCD is a rectangle. Triangles AOD and BOC are identical. The area of Triangle COD is 63.14 cm2. The ratio of the area of Triangle AOB to The area of Triangle COD is 3 : 7. Find the area of Triangle AOD.
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
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
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 2
The figure is made up of identical rectangles. Find the area of the shaded rectangle.
3 m