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 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 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 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
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Level 3
ABCD is a quadrilateral and OADC is a trapezium in which OA // DC and ∠BAD = 110°, ∠ADC = 124°, ∠BCD = 65° and DC = DA. Find
  1. ∠ABO
  2. ∠DAO
  3. ∠ACD.
3 m
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m
Level 2
In the figure, ABCD is a parallelogram and EA = EB.
  1. Find ∠y.
  2. Find ∠z.
4 m
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Level 3
ABEF is a parallelogram. DF, DG, AF and BE are straight lines. AB = AG. Find ∠BGC.
4 m
Level 3
The figure is not drawn to scale. Find
  1. ∠a
  2. ∠b
4 m
Level 3 PSLE
In the figure, WXYZ is a parallelogram. WRZ and RYS are straight lines. ∠SYZ = 150°, ∠WZY = 45° and ∠WYR = 20°.
  1. Find ∠XYS.
  2. Find ∠XWY.
4 m
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
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