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, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
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
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
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
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
MNOP is a parallelogram and MPQ is an equilateral triangle. QPO is a straight line. Find ∠MON.
3 m
Level 3
In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.
3 m
Level 3
In the figure, EFGH is a rhombus, FN, HM and KJ are straight lines. ∠FGJ =70° and ∠MGN = 68°. Find ∠EFG.
3 m
Level 3 PSLE
The figure is formed by five straight lines AC, AD, BD, BE and CE.
  1. Find ∠y.
  2. Find ∠z.
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 is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.
  1. Find ∠WVZ.
  2. Find ∠VXW.
  3. Find ∠YXZ.
4 m
Level 3
The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.
  1. Find ∠FAE.
  2. Find ∠CDE.
4 m
Level 3 PSLE
In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.
4 m
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m