Level 3
In the figure, not drawn to scale, ABC, CDE, BFE, and AFD are straight lines. What is the value of ∠x + ∠y?
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 paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Level 3
ABCD is a rhombus. Find ∠z.
4 m
Level 3
In the figure, ABCD is a trapezium and ADEH is a rhombus. AD is parallel to BC and DE = DF. HDC and DGF are straight lines. ∠DAH = 38° and ∠GDH = 47°. Find
  1. ∠ADC
  2. ∠DFE
5 m
Level 3
In the figure, given that FBDE is a rhombus and ACE is a triangle, find
  1. ∠x
  2. ∠y
5 m
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Level 3 PSLE
Maria has a triangular piece of paper ABC with BA =BC, ∠ABC = 82° and ∠CDE = 69°. ADC and BEC are straight lines. She folded it along the line DE as shown.
  1. Find ∠x.
  2. Find ∠y
5 m
Level 3
In the figure, PRT and QRS are straight lines. RP = RQ and SR = ST. If ∠QPR = 55°, find
  1. ∠PRS
  2. ∠RST
5 m
Level 3
WXYZ is a rhombus, STZ and XTY are straight lines. If XT = TZ, ∠TZY = 18° and ∠VXY = 31°, find
  1. ∠TYZ
  2. ∠VST
5 m