Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DEF = 16°. Find ∠DEC.
3 m
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners B and D. Given that ∠CFD = 81° and ∠BEC = 78°, find ∠BCD.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. ∠DFE is 6° larger than ∠CFG but it is half the size of ∠CFD. Find ∠CFD.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF. Find ∠AEB.
3 m
Level 2
The figure is not drawn to scale. A rectangular piece of paper is folded to form the figure as shown. Find the area of the rectangular piece of paper before it was folded.
3 m
Level 2
The figure shows a piece of square paper with two of the corners folded. Triangle A and Triangle B are identical and Triangle XYZ is an equilateral triangle. Find the area of the shaded part.
3 m
Level 3
Figure A is a square with perimeter 64 m is folded into half as shown. What is the area of the new Figure B?
3 m
Level 3
A rectangular piece of paper, not drawn to scale, is folded as shown. What is the area of the piece of paper?
3 m
Level 3
A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?
3 m
Level 3
Two corners of a square are folded as shown in the figure. Find ∠ABC.
3 m
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Level 3
The area of a rectangular sheet of paper ABCD is 108 cm2. It is then folded at a corner as shown below in Figure 2. Given that AD = 9 cm and AE = 4 cm.
  1. Find the length of CD.
  2. Find the perimeter of the unshaded part AEBCD.
3 m
Level 3
A rectangular strip of ribbon is folded as shown. What is the area of the strip of ribbon before it is folded?
3 m
Level 3
A rectangular piece of coloured paper was folded as shown. Find the area of the coloured paper when it was unfolded.
3 m