Level 3 PSLE
The figure is made up of 6 identical quadrants and 2 identical semicircles. The radius of each quadrant is 14 cm. The unshaded area marked A is enclosed by 2 quadrants and 2 semicircles. (Take π = 3.14)
  1. Find the perimeter of A.
  2. Find the total shaded areas.
4 m
Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
4 m
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Level 3
The figure is made up of 6 identical triangles. Given that the perimeter of Square EFGH is 72 cm, Find the area of the whole figure.
4 m
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Level 3
The figure is made up of a big circle and 4 small identical circles. The diameter of the small circle is 28 cm. Find the shaded area. (Take π = 3.14)
4 m
Level 3
The figure shows a big square that is made up of a small square with area 16 cm2 and 8 right-angled triangles with a base of 3 cm.
  1. Find the height of each triangle.
  2. Find the area of the big square.
4 m
Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
4 m
Level 3
Triangle ABC and Triangle DBC share the same base BC. The height of Triangle ABC is 4 times the height of Triangle DBC. Given that DE is 4 cm and BC is 13 cm, Find the area of the shaded part.
4 m
Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
  1. What is the width of the rectangular park?
  2. Find the area of the path. Take π = 3.14.
4 m