361 P6.SP.TL.18012288
Level 3
Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.
  1. How long would it take for Benny to overtake Andy for the first time?
  2. How far was Benny ahead of Andy after 10 s?
4 m
DST triangle Same starting point Distance apart Overtaking Circular track Duration LCM
362 P6.SP.TL.18012289
Level 3
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.
  1. How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
  2. How long would it take Shan to meet Ella for the first time?
  3. How many rounds would Shan have completed by then?
4 m
DST triangle Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
363 P4.FR.PR.17100412
Level 3
A car-wash machine takes 16 h to wash 1 car. Washing the car by hand takes 14 h longer than the car-wash machine.
  1. Find the time taken to wash 1 car by hand.
  2. Find the total time taken to wash 3 cars by hand. Leave your answer in hours and minutes.
4 m
Fractions with units F 4 operations Unit conversion Time Duration Model Comparison Unit conversion
364 P5.WN.JM.17083029
Level 3
There are 2 groups of workers in a factory. There are 5 more workers in the first group than the second group. Each worker in the first group makes 4 toys in a minute but each worker in the second group makes only 3 toys in a minute. Both groups make a total of 4140 toys in an hour.
  1. How many workers are there in the first group?
  2. How many workers are there in the second group?
4 m
Time Unit conversion More than or less than Number x value Units table
365 P5.FR.NK.22122918
Level 3
Daniel's age is 19 of his uncle's. His uncle will be 41 years old in 5 years' time. In how many years' time will Daniel's age be 37 of his uncle's?
4 m
Fraction to units Unchanged difference Units table Units & parts Substituition
366 P5.DA.JM.17083189
Level 3
Chris runs 100 metres for 5 times. The average time taken for his first three runs is 14.5 seconds. He aims to have an average timing of 12.8 seconds for his five runs.
  1. What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
  2. If he runs 3 seconds faster in one of the five runs, what would be his average time for the five runs?
5 m
Average 2 Averages Duration D Multiplication More than or less than
367 P5.WN.JC.17083289
Level 3
At first, there were 410 more men than women at an exhibition. At lunch time, a total of 250 men and women left the exhibition. There were as many men as women who left the exhibition. In the end, there were 3 times as many men as women who remained behind. How many men were at the exhibition at first?
4 m
More than or less than Times as many Unchanged difference Units table
368 P6.SP.TL.18012290
Level 3
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m., both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.
5 m
Rate more than 1 object Same starting time Duration D Place values D Round off Percent of a set
369 P6.SP.JC.17053052
Level 3
Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes 13 hour for all the water to flow out. If both taps are turned on at the same time,
  1. How long does it take to fill 40% of the tank?
  2. How much water has flowed out through Tap B by the time the tank is 35 filled with water?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Filling tank Fraction of a whole Percent of a whole Units method
370 P6.SP.JC.17081501
Level 3
To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Volume of cube Filling tank D Place values D Round off
371 P6.SP.JC.17053187
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
  1. Find the time taken for the heights of the water level to be the same in both tanks.
  2. Find the height of the water level at that point of time.
5 m
Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height
372 P5.WN.JM.17083014
Level 3
Samantha had twice as many pens as notebooks at first. She removed 4 pens and 3 notebooks each time. In the end, there were 18 pens and 1 notebook left. How many pens and notebooks did Samantha have at first?
4 m
Times as many All change Units table Units & parts Elimination
373 P5.PC.JC.17083303
Level 3
Every week, Mrs. Tan will collect 40% more vitamin pills than Mrs Nurul from the pharmacy. They each consumed 14 vitamins weekly and will leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 364 vitamin pills and Mrs. Tan's family members consumed 468 more vitamin pills than Mrs. Nurul's family.
  1. How many members are there in Mrs. Tan's family, if they each consume 14 pills weekly?
  2. How many vitamin pills does Mrs Nurul collect from the pharmacy each week?
5 m
Percent to units More than or less than Unchanged difference Units method
374 P5.DA.JM.17083193
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.
5 m
Average Time Fraction of a whole Ratio to units Unchanged total Units method
375 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
376 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
377 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
378 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
379 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
380 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

5 per page

10 per page

20 per page

Symbols

x2
x3
₵
$
⊥
//
∠
°
π
%
:
\[ \]
STUDENT
Navigations
Contact Us
Members
Links