156 P6.AN.NK.17051704
Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.
3 m
Sum of angles in a quadrilateral Ratio to units Units method
157 P6.SP.TL.18012286
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
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
158 P6.AP.TL.17090776
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
Rectangle Triangle Overlapping area Folded figure Fraction to units Units method
159 P6.FR.JC.19082905
Level 3
Bryan had some stickers. He gave 15 of his stickers to John and bought 4 new stickers. After that, he gave 13 of his remaining stickers to his brother and bought another 7 new stickers. In the end, Bryan had 55 stickers.
  1. How many stickers did Bryan give to his brother?
  2. How many stickers did Bryan have at first?
4 m
Fraction of a set Remainder concept Working backwards Model Part-whole Units method
160 P6.AP.TL.17090814
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
3 m
Square Cut & paste Fraction of a whole Units method

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