Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Level 3
In the figure, ABE and DBC are right-angled triangles. EB is parallel to DC. Find
  1. ∠BCD
  2. ∠BED
3 m
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Level 3
The figure is made up of a right-angled isosceles triangle XYZ and a semicircle. XY = YZ and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.
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