51 P6.AN.NK.17050206
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
3 m
Equilateral triangle Isosceles triangle Angles sum of triangle Angle properties within a circle
52 P6.AN.NK.17051735
Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
3 m
Isosceles triangle Circle Rhombus Angles sum of triangle
53 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
54 P6.AP.TL.17090780
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
3 m
Length Circle Circumference Distance apart
55 P6.AP.TL.17090779
Level 3
Tom built a car using two identical wheels of radius 2.9 cm each as shown. The distance between the centres of the two wheels is 59.2 cm. He rolled the car from one end of the room to the other end touching walls at both ends. The distance between the two walls is 11.2 m. How many complete revolutions did each wheel make? Take π = 3.14.
3 m
Circle Circumference Unit conversion Distance apart

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