Level 3
In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.
3 m
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m
Level 3
The figure is made up of a right-angled isosceles triangle XYZ and a semicircle. XY = YZ and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.
3 m
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Level 3 PSLE
The figure is formed by five straight lines AC, AD, BD, BE and CE.
  1. Find ∠y.
  2. Find ∠z.
3 m
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Level 3
In the figure, not drawn to scale, XYZ is a right-angled triangle. XY is 12 cm, YZ is 16 cm. Find the area of the shaded parts. (Take π = 3.14 )
3 m
Level 3 PSLE
At 15 25, Mrs Pang started driving at 60 km/h from her home to a supermarket 35 km away. She was in the supermarket for 1 h 15 min.
  1. What time did she leave the supermarket?
  2. After leaving the supermarket, Mrs Pang drove back along the same route and took 48 min to reach home. What was her average speed, in km/h, for the journey home?
4 m