11 P6.AN.NK.17052204
Level 3
A rectangular piece of paper was folded as shown.
  1. Find ∠a.
  2. Find ∠b.
4 m
Rectangle Interior angles Overlapping angles Sum of angles in a quadrilateral Folded figure
12 P6.AN.NK.17052214
Level 3
The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.
  1. Find the area of Figure 2. ABEDF, after the folding.
  2. In Figure 2, ∠ABF is 76°. Find ∠BED in Figure 2.
4 m
Rectangle Overlapping angles Sum of angles in a quadrilateral Folded figure
13 P6.AN.NK.17051747
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
Triangle Parallelogram Vertically opposite angles Interior angles Sum of angles in a quadrilateral
14 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
15 P6.AN.NK.17050210
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
4 m
Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method

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