Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ.  Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
3 m
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
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
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is 15 of ∠YXZ and ∠YZB = ∠XZA.
  1. Find ∠YZB.
  2. Find ∠XAZ.
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
ABCD is a rhombus. ADE is an equilateral triangle. Find
  1. ∠EAB
  2. ∠ABD
4 m
Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Level 3 PSLE
ABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
  1. Find ∠ACD.
  2. Find ∠CDA.
  3. Find &angEAB.
4 m