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
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
4 m
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
4 m
Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
4 m
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
Level 3
A rectangular piece of paper was folded as shown.
  1. Find ∠a.
  2. Find ∠b.
4 m
Level 3
Melvina folded a rectangular piece of paper, coloured on one side, to form Figure X as shown . She cut out the folded part A and B into the shape as shown in Figure Y. Find the area of Figure Y.
4 m
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
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Level 3
A piece of colored paper in the original shape of a parallelogram was folded as shown. Find
  1. ∠x
  2. ∠y
4 m