Level 3
The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.
  1. Find the area of Figure 2. ABEDF, after the folding.
  2. In Figure 2, ∠ABF is 76°. Find ∠BED in Figure 2.
4 m
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places. (Take π = 3.14)
4 m
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Level 3
A rectangle is 15 cm long and 12 cm wide. 34 of the rectangle is shaded green and the rest is shaded blue. What is the area of the rectangle that is shaded blue?
4 m
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
4 m
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
4 m
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
4 m
Level 3
Mrs Singh had a rectangular garden measuring 13 m by 8 m. She decided to build a small pond inside the garden for her koi fishes and the surrounding area was laid with pebbles. Find the area of the pebbled pathway .
4 m
Level 3
The figure shows a square plot of land that Mr Tan has. The perimeter of the square plot of land is 120 m. He wants to fence up the rectangular shaded area to grow vegetables. The price of fencing 1 m of land is $28. How much does Mr Lim need to pay for fencing the land?
4 m