81 P6.SP.TL.18012263
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
  1. How long was the cross country track in m?
  2. Find Jen’s average speed in m/min.
3 m
DST triangle Average speed Different speed Same starting point Same starting time Direct ratio Common time Fraction to units More than or less than Units method
82 P6.AG.JC.17080467
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Algebra in 1 variable Algebra simplifying More than or less than Times as many Units method
83 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
84 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
85 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
86 P6.SP.TL.18012268
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
DST triangle Average speed Same starting point Circular track Unit conversion Duration LCM
87 P6.SP.TL.18012269
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
DST triangle Average speed Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
88 P6.RD.TL.16010149
Level 3
Liam had 57 as many 20-cent coins as 1-dollar coins in his piggy bank. Each time, four 20-cent coins and six 1-dollar coins were taken out from the piggy bank. In the end, only seven 20-cent coins and four 1-dollar coins were left in the piggy bank. How many more 1-dollar coins than 20-cent coins were there in the piggy bank at first?
4 m
Ratio to units Times as many All change Units table Units manipulation
89 P6.DA.NK.21060923
Level 3 PSLE
Mr Lee used two printers with different printing rates for a printing job. He started Machine A at 10 00 and started Machine B two minutes later. He stopped both machines at 10 05. The graphs show the total number of pages printed by each machine from the start of printing.
  1. How many pages had been printed by Machine A at the time Mr Lee started Machine B?
  2. What was the difference in the number of pages printed by the two machines from 10 00 to 10 05?
  3. Which machine, A or B, has a faster printing rate? What is the difference in the number of pages printed by the machines in one minute? Give your answer in this format. (Eg A, 1)
4 m
Line graph Rate more than 1 object Duration 24-h clock More than or less than
90 P6.SP.JC.17053170
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m
Rate 1 object Volume Volume of cuboid Height of cuboid Filling Tank Volume transfer Volume common base area Volume common height D Place values D Round off

5 per page

10 per page

20 per page

Symbols

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