131 P6.AN.NK.17052307
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
3 m
Square Equilateral triangle Isosceles triangle
132 P6.AN.NK.17081611
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
133 P6.SP.TL.18012265
Level 3
Joe took 12 min to cycle from his home to a park for his morning exercise. After the exercise, he took 60 min to walk the same route home. The difference between his cycling and walking speed was 40 km/h. How far was Joe's home from the park?
3 m
DST triangle Different speed Distance apart Inverse ratio Unit conversion Units method
134 P6.SP.TL.18012248
Level 3
The distance between Parryville Town and Queensland Town was 900 km apart. A car travelled at an average speed of 98 km/h from Parryville Town to Queensland Town. At the same time, a bus travelled at an average speed of 82 km/h from Queensland Town to Parryville Town. How much further did the car travel than the bus when the car met the bus on the way?
3 m
DST triangle Different speed Same starting time Meeting point Common time Duration
135 P6.SP.TL.18012245
Level 3
Town A and Town B were 420 km apart. At 11.55 a.m., Parry set off from Town A travelling at 80 km/h towards Town B, while Jan set off from Town B travelling towards Town A. They met on their way at 2.55 p.m. Find Jan's average speed.
3 m
DST triangle Average speed Same starting time Meeting point Common time

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