Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
4 m
Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
4 m
Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
4 m
Level 3
ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find
  1. ∠CFD,
  2. ∠DCF.
4 m
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
ABCD is a parallelogram. ADE and BFE are straight lines. Find the values of
  1. ∠t
  2. ∠w
  3. ∠v
  4. ∠u
4 m
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find
  1. ∠ADC,
  2. ∠GAD.
4 m
Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.
4 m
Level 3
The figure is not drawn to scale. ADFJ is a parallelogram. CGI and BEH are triangles. ∠CGH = 79° and HBE = 53°. Find
  1. ∠BCG
  2. the sum of ∠BHE, ∠CYE and ∠EZG.
4 m