21 P6.AN.NK.17051745
Level 3
The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?
3 m
Isosceles triangle Rhombus Angles at a point Interior angles
22 P6.AN.NK.17050202
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
  1. ∠x
  2. ∠y.
3 m
Isosceles triangle Circle Rhombus Corresponding angles Interior angles
23 P6.AN.NK.17051720
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
3 m
Rectangle Rhombus Angles on a straight line Angles sum of triangle Interior angles
24 P6.AN.NK.17081702
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
3 m
Isosceles triangle Parallelogram Rhombus Angles sum of triangle Angles at a point Interior angles
25 P6.AN.NK.17051727
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
Isosceles triangle Parallelogram Angles on a straight line Exterior angle of a triangle Alternate angles Interior angles
26 P6.AN.NK.17051752
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Rectangle Corresponding angles Interior angles Overlapping angles
27 P6.AN.NK.17052209
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Rectangle Angles on a straight line Alternate angles Corresponding angles Interior angles Overlapping angles Folded figure
28 P6.AN.NK.17051733
Level 3
ABCD is a quadrilateral and OADC is a trapezium in which OA // DC and ∠BAD = 110°, ∠ADC = 124°, ∠BCD = 65° and DC = DA. Find
  1. ∠ABO
  2. ∠DAO
  3. ∠ACD.
3 m
Trapezium Interior angles Sum of angles in a quadrilateral
29 P6.AN.NK.17051722
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
Isosceles triangle Parallelogram Angles on a straight line Interior angles Sum of angles in a quadrilateral
30 P6.AN.NK.17050207
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Interior angles Angle properties within a circle

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