281 P6.SP.JC.21061109
Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
  1. With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
  2. Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
3 m
Rate more than 1 object Fraction of a whole Duration Volume Unit conversion Filling tank
282 P6.SP.JC.17053182
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
4 m
Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height Fraction of a whole
283 P4.FR.JC.17100327
Level 2
Suresh has a mass of 45 kg. Dinesh is 3 kg lighter than Suresh.
  1. What is Dinesh's mass?
  2. Express Dinesh's mass as a fraction of Suresh's mass. Give your answer in its lowest terms.
4 m
Fraction of a whole F Simplest form Mass Model Comparison
284 P4.FR.NK.23010640
Level 2
The total mass of Shan and Tony is 105 kg. Shan weighs 15 kg more than Tony.
  1. Find Tony's mass.
  2. Express Tony's mass as a fraction of Shan's mass in its simplest form.
4 m
Fraction of a whole F Simplest form Mass Model Comparison
285 P6.SP.TL.18012270
Level 3
After cycling for 30 km, Mark took a break before he continued cycling 13 of the remaining distance. He then realised that he still had 14 of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.
4 m
DST triangle Average speed Duration Fraction of a whole Common numerator Units method
286 P5.AP.JM.17083245
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m
Square Composite figure area Overlapping area Fraction of a whole
287 P5.FR.NK.22122027
Level 3
At first, a pot contained 25 ℓ of water. Keisha added another 12 ℓ of water into the pot. Then she used 29 of all the water in the pot. How much water did Keisha use? Express your answer as a fraction in its simplest form.
4 m
Fraction of a whole F Addition F Multiplication Fraction with units Fraction to units Volume Units method
288 P6.SP.TL.18012274
Level 3
A car was on its way from Town X to Town Y. After covering 25 of its journey, it passed a van which was travelling at an average speed of 70 km/h. 5 hours later, the car reached its destination, but the van was still 28 km from Town Y. If the car had also started from Town X, how long would it take to travel from Town X to Town Y? Express the answer in mixed number.
4 m
DST triangle Average speed Different speed Same starting point Duration Fraction of a whole
289 P5.FR.NK.22121605
Level 3
Jen had a sum of money. She spent an equal amount of money daily. At the end of the eighth day, she was left with 25 of her money. At the end of the tenth day, she was left with $12. How much money did she have at first?
4 m
Fraction of a whole F Addition & subtraction F Multiplication F Division Money Units method
290 P4.AP.JM.17100265
Level 3
Two identical squares overlap each other to form the figure shown. A and B are the centres of squares X and Y respectively. What fraction of the figure is shaded?
3 m
Square Overlapping area Fraction of a whole

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