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
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
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
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
  1. Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
  2. Find ∠CAE.
  3. Find ∠ACE.
4 m
Level 3
The figure shows 2 squares JKLM and NJPQ. ∠LJN = 114°.
  1. Name the line that is parallel with JP.
  2. Find ∠RJP.
  3. Find ∠JRQ.
4 m
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
  1. Name the line that is perpendicular to FC.
  2. Find ∠BCH.
  3. Find ∠HKC.
4 m
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 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 PSLE
In the figure, XYZ is a triangle. P, R and S are points on the triangle such that XP = XR and SZ = PZ. If ∠XPR = 104°and ∠SPZ = 123°, find ∠RYS.
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
A rectangular piece of paper was folded as shown.
  1. Find ∠a.
  2. Find ∠b.
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
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
The figure shows three identical squares ABCD, CEFG and CJIH. ∠DCE = 40° and ∠GCH = 27°. Find ∠x.
4 m