161 P6.SP.JC.21061118
Level 3 PSLE
Alice and Hilda started jogging from the same point of a 5 km track round a housing estate. They started at the same time but in opposite directions. Alice jogged past Hilda after 2 km. Both of them did not change their speeds throughout. Alice took 30 min to complete one round. What was Hilda's jogging speed in m/min?
3 m
DST Triangle Average speed Same starting point Same starting time Opposite direction Circular track
162 P6.AN.JC.23100208
Level 3 PSLE
ABCD and CFGE are identical parallelograms. HCB and EDC are identical right-angled triangles.
  1. Find ∠x.
  2. Find ∠y.
  3. Select the words that describe BHF in the statement:
    BHF (is/is not) a straight line because the sum of angles BHC and CHF (is/is not) 180° Give your answers in this format. (Eg is, is not)
3 m
Right-angled triangle Parallelogram Angles sum of triangle Angles at a point Interior angles
163 P6.SP.TL.18012266
Level 3
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.
  1. Find the speed of the black car.
  2. Find the speed of the green car.
  3. If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
3 m
DST triangle Average speed Same starting point Same starting time Opposite direction Circular track Unit conversion Duration LCM
164 P6.SP.TL.18012267
Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
  1. Find the distance covered per second by Vivian in m.
  2. Find the distance covered per second by Kyle in m.
  3. When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
3 m
DST triangle Same starting time Opposite direction Meeting point Circular track Unit conversion Duration LCM
165 P6.AN.NK.21060931
Level 3 PSLE
EFG is an equilateral triangle and ABCD is a rhombus. DGH is a straight line. Find ∠z.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle Equilateral triangle Rhombus Angles at a point

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