121 P6.AN.NK.17051730
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Right angle Square Isosceles triangle
122 P6.SP.TL.18012219
Level 3
At 9.30 a.m., a bus started travelling at an average speed of 60 km/h. At 11:30 a.m., a van started from the same place travelling on the same road. If the van took 3 hours to catch up with the bus, find the speed of the van.
3 m
DST triangle Same starting point Different starting time Overtaking Duration
123 P6.SP.TL.18012246
Level 3
Steven and Ivan started running a 10-km cross-country race together at a speed of 6 km/h and 12 km/h respectively. At the halfway mark, Ivan took a rest until Steven caught up with him. How long did Ivan rest? Express the answer in min.
3 m
DST triangle Average speed Different speed Overtaking Duration
124 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
125 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
126 P6.SP.TL.18012249
Level 3
Sam and Ian have a bicycle race. Sam cycles at a speed of 12 km/h. Ian cycles at a speed of 16 km/h. If Ian lets Sam start 40 min before him, how long will Ian take to catch up with Sam?
3 m
DST triangle Different speed Same starting point Different starting time Overtaking Unit conversion Duration
127 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
128 P6.SP.TL.19051601
Level 3
Kenny and Mike started jogging from the same point. Mike started jogging 4 minutes earlier than Kenny. Kenny's jogging speed was 500 m/min and Mike's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
  1. How long did it take for Kenny to catch up with Mike?
  2. What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
3 m
DST triangle Average speed Different speed Same starting point Different starting time Overtaking Duration
129 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
130 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
131 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
132 P6.AN.NK.17052102
Level 3
The figure is not drawn to scale. Find the sum of ∠FAC + ∠FBD + ∠ACF + ∠DFC.
3 m
Angles sum of triangle
133 P6.SP.TL.18012251
Level 3
At 12 p.m., a car left City X for City Y at an average speed of 100 km/h while a bus left City Y for City X at an average speed of 80 km/h. At 4.30 p.m., the two vehicles were 20 km apart. Find the distance between City X and City Y.
3 m
DST triangle Different starting point Same starting time Meeting point Distance apart Common time
134 P6.AN.NK.17050214
Level 3
In the figure, not drawn to scale, A and B are the centres of both circles respectively. Find ∠x.
3 m
Circle Angles at a point Angles sum of triangle
135 P6.SP.TL.18012253
Level 3 PSLE
A store and a school are 120 m apart. They are located between Barry's house and Jony's house, as shown. The store is exactly halfway in between the two houses. One day, Barry and Jony started cycling from their houses at the same time and they arrived at school together. Jony cycled at 70 m/min while Barry cycled at a speed 15 m/min faster than Jony.
  1. How much further did Barry cycle than Jony?
  2. How far is Jony's house from school? Express the answer in m.
3 m
DST triangle Different speed Same starting time Meeting point Distance apart Common time More than or less than
136 P6.SP.TL.18012252
Level 3
At 10.25 a.m., a car left Town X for Town Y at an average speed of 86 km/h, while a truck left Town Y for Town X at an average speed of 74 km/h. At 3.25 p.m., the two vehicles were 22 km apart. How far apart were the two towns?
3 m
DST triangle Different speed Different starting point Same starting time Distance apart Common time
137 P6.AN.NK.17050206
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
3 m
Equilateral triangle Isosceles triangle Angles sum of triangle Angle properties within a circle
138 P6.AN.NK.17051735
Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
3 m
Isosceles triangle Circle Rhombus Angles sum of triangle
139 P6.SP.JC.21061117
Level 3 PSLE
Sherry and Cindy started cycling at the same time along a 4.5 km track. Both did not change their speeds from start to finish. Sherry cycled at 375 m/min. When she reached the end of the track, Cindy was 720 m behind her. What was Cindy's cycling speed in m/min?
3 m
DST triangle Average speed Same starting time Distance apart Unit conversion
140 P6.AN.NK.17081612
Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.
2 m
Rectangle Angles on a straight line Angles sum of triangle

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