Level 3
The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?
3 m
Level 2
In the figure, MN, PQ and RO are straight lines. ∠POR = 39°. Given that ∠RON is half as big as ∠NOQ, find ∠MOQ.
3 m
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
  1. ∠x
  2. ∠y.
3 m
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
3 m
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
3 m
Level 2
In the figure, ABCD is a rectangle. ∠ABE = 52° and ∠ECD = 28°. What is the value of ∠BEC?
3 m
Level 2
The figure shows a parallelogram ABCD. ∠ABD = 34° and ∠ADB = 26°. Find ∠BCD.
3 m
Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.
3 m
Level 2
In the figure, ACD and BCEF are straight lines. ∠CDE = 77° and ∠DEF = 138°. Find ∠ACB.
3 m
Level 2
In the figure, HIK and MLlJ are straight lines. ∠HML = 47°, ∠MHL = 45°, ∠IJK = 36° and ∠IKJ = 113°. Find
  1. ∠HLI.
  2. ∠LHI.
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
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
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 2
In the figure, AB and CD are straight lines. ∠AOC is 54°. What is the sum of ∠a and ∠b?
3 m
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
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
AB = BE and AB = BC. Given that ∠DAB is 28° and ∠ADE is 92°, find ∠EAD.
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m