Level 3
Figure 1 shows a rectangular piece of paper measuring 24 cm by 9 cm. It is folded along the dotted lines to form Figure 2. Find the area of Figure 2.
3 m
Level 3
  1. The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
  2. Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
3 m
Level 3 PSLE
In the figure, ABCD is a rectangle and AED is a right-angled triangle with sides measuring 30 cm, 40 cm and 50 cm. The perimeter of the shaded part is 176 cm. What is the ratio of the area of the triangle to the area of the shaded part? Give your answer in the simplest form.
4 m
Level 3 PSLE
Figure 1 shows a triangular card ABC with AC = CB. A number of such cards were arranged along the four sides of a rectangular board. Figure 2 shows part of the arrangement. A total of 28 pins were placed at an equal distance of 40 cm apart to hold the cards.
  1. Find the length of XY.
  2. Find the total area of the cards used.
4 m
Level 3
ABCE is a rectangle. Given that FBD is an isosceles triangle, find ∠DBC.
4 m
Level 3
The figure shows four rectangles Q, R, S and T not drawn to scale. The areas of rectangles Q, R and S are 30 cm22, 40 cm22 and 24 cm22 respectively. What is the area of rectangle T?
4 m
Level 3 PSLE
The figure shows a rectangular grass patch and an L-shaped footpath. The width of the footpath is 100 cm. The footpath is tiled using 38 circular tiles of diameter 50 cm, following the pattern shown. Each tile is in contact with those next to it.
  1. What is the area of the footpath not covered by the tiles? Take π = 3.14.
  2. What is the perimeter of the grass patch?
4 m
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
4 m
Level 3 PSLE
In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
  1. Find ∠FGH.
  2. Find ∠ECH.
4 m