201 P6.AN.NK.17052103
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Angles sum of triangle Exterior angle of a triangle Sum of angles in a star
202 P6.AP.TL.17090805
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
Isosceles triangle Right-angled triangle Semicircle Composite figure area Cut & paste
203 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
204 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
205 P6.AP.TL.17090811
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
Right-angled triangle Circle area Semicircle Composite figure area Overlapping area
206 P6.SP.JC.21061115
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
DST triangle Average speed Start end time Duration Timeline F Division
207 P6.SP.TL.18012270
Level 3
After cycling for 30 km, Mark took a break before he continued cycling 13 of the remaining distance. He then realised that he still had 14 of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.
4 m
DST triangle Average speed Duration Fraction of a whole Common numerator Units method
208 P6.PA.JM.18011216
Level 3
Study the patterns.
  1. Find the total number of triangles in Figure 30.
  2. Express the biggest triangle as a percentage of the total possible number of triangles in Figure 30. Correct your answer to 2 decimal places.
5 m
Equal intervals D Place values D Round off Finding percent
209 P6.SP.TL.18012271
Level 3
Willy drove from Town A to Town B which was 312 km away. He started from Town A at an average speed of 76 km/h. He maintained this speed for 2 h before increasing it by 4 km/h for the rest of the journey to Town B.
  1. How long did he take to complete the whole journey?
  2. What was his average speed from Town A to Town B?
4 m
DST triangle Average speed Journey by parts Different speed Duration More than or less than
210 P6.PA.JM.18011231
Level 3
The figure is made of identical triangles.
  1. Complete the table for layers 5 and 10.
  2. If each small triangle has a height of 4 cm and a perpendicular base of 3 cm. Find the area of all the triangles at the 29th layer.
5 m
Repeated patterns Area Perimeter Triangle

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20 per page

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