581 P5.AP.JM.17083205
Level 3
Triangle ABC and Triangle DBC share the same base BC. The height of Triangle ABC is 4 times the height of Triangle DBC. Given that DE is 4 cm and BC is 13 cm, Find the area of the shaded part.
4 m
Triangle common base Composite figure area Times as many Equal stage
582 P6.SP.TL.18012291
Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
  1. Andy
  2. Luke
5 m
DST triangle Average speed Journey by parts Different speed Same starting time Unit conversion Start end time Fraction of a whole
583 P5.AP.JM.17083225
Level 3
In the figure, CEGH is a quadrilateral with an area of 110 cm2. The ratio of AH to HG to GF is 4 : 3 : 2. Given that the height of Triangle HOF is 20 cm, AF = 36 cm, and BH = 10 cm. Find the area of the figure.
4 m
Composite figure area Ratio to units Units method
584 P5.AP.JM.17083214
Level 3
ABCD is a rectangle. BC is 48 cm and AB is twice of BC. Find the area of Triangle CXY.
4 m
Rectangle Triangle Composite figure area Times as many Fraction of a whole
585 P5.AP.JM.17083182
Level 3
In the figure, Rectangle PQRS is made up of 8 identical rectangles. OR = 16 cm and SU = UY. Find the area of Triangle SQU.
4 m
Rectangle Triangle Composite figure area Units & parts Substitution
586 P6.SP.TL.18012293
Level 3
At 08 00, Ali left Town P and cycled towards Town Q. Grace left Town P and cycled towards Town Q at 08 30. Grace's cycling speed was 2 km/h faster than Ali. At 12 00, Grace caught up with Ali. Find the cycling speed of each cyclist.
  1. Ali
  2. Grace
5 m
DST triangle Average speed Same starting point Different starting time Overtaking More than or less than
587 P6.SP.TL.18012294
Level 3
James started driving from Town A towards Town B at 13 40 at an average speed of 70 km/h. Melvin began driving from Town A towards Town B at 15 10 at an average speed of 100 km/h.
  1. At what time did Melvin pass James on the road?
  2. 125 hours after passing James, Melvin reached Town B. At what time did James reach Town B?
5 m
DST triangle Average speed Different speed Same starting point Different starting time Meeting point Overtaking Start end time
588 P6.SP.TL.18012295
Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.
  1. Find the distance between Cities A and C.
  2. If Lindy's speed was 35 the speed of Fred, find Ray's speed.
5 m
DST triangle Average speed Same starting time Opposite direction Distance apart Direct ratio Common time Units method
589 P6.SP.TL.18012292
Level 3
City X and City Y are 420 km apart. At 3.45 p.m., Joni is travelling at a uniform speed left City X for City Y while Ben set off from City Y to City X along the same road at a uniform speed, which was 12 km/h slower than that of Joni. The two met at 6.45 p.m.
  1. Find the speed of Joni.
  2. If Ben continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express the answer in mixed number.
5 m
DST triangle Average speed Different speed Different starting point Same starting time Meeting point Distance apart Duration Common time More than or less than
590 P6.SP.TL.18012296
Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed 38 of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?
5 m
DST triangle Average speed Same starting point Same starting time Direct ratio Common time Duration Fraction of a whole More than or less than

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