Level 3
In the figure, PQST, PYWV, RQYX, XWUT and RSUV are straight lines. Find the value of ∠a + ∠b + ∠c + ∠d.
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 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Level 3
In the figure, not drawn to scale, XYZ is a right-angled triangle. XY is 12 cm, YZ is 16 cm. Find the area of the shaded parts. (Take π = 3.14 )
3 m
Level 3
Figure ABCDE has an area of 36 cm2. ADE and CDE are triangles.
  1. Find the area of the triangle ADE.
  2. Find the area of the shaded part.
3 m
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
3 m
Level 3
Find the total area of the shaded parts.
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
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.
3 m
Level 3
Two identical triangles, ABC and XYZ, overlap each other as shown. Given that AB = XY = 15 cm and BC = YZ = 14 cm, what is the area of the figure that is not shaded?
3 m