381 P6.VO.NK.17080915
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Height of cuboid Filling tank Fraction of a whole Ratio to units Unit conversion Rectangle Units method
382 P3.WN.PR.17102482
Level 2
How much more water can the basin hold than a pitcher? Give the answer in ℓ and mℓ.
2 m
W Addition & subtraction Volume Unit conversion Model Comparison
383 P3.WN.PR.17102424
Level 2
A pail contained 5 litres of water at first. Miss Tan poured some water from the pail into two containers. Find the amount of water left in the pail. Give the answer in litres and milliliters.
2 m
W Addition & subtraction Volume Unit conversion Model Comparison
384 P3.WN.JC.17121011
Level 2
What is the mass of the container?
2 m
W Addition & subtraction Mass Unit conversion
385 P6.VO.NK.17053047
Level 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
  1. Find the new height of the water in Tank A.
  2. How many litres of water were poured into Tank B?
4 m
Base area x height Height of cuboid Volume transfer Volume common base area Volume common height Unit conversion
386 P4.DE.JM.171010155
Level 3 PSLE
A muffin costs $0.70 in Bakery A. For every 3 muffins a customer buys, he can buy the fourth one at half the price. What is the greatest number of muffins that a customer can buy with $84?
3 m
Fraction of a whole D 4 operations Money Unit conversion Remainder min-max Sets
387 P6.DE.TL.16010142
Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.
5 m
Mass Unit conversion Times as many Repeated identity Units & parts & boxes Elimination
388 P6.DE.TL.16010143
Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.
5 m
Mass Unit conversion More than or less than Times as many Repeated identity Units & parts & boxes Elimination
389 P4.DE.JM.171010150
Level 3
Ali has $5.60. He wants to exchange his money for an equal number of 20-cent coins and 50-cent coins. How many 50-cent coins does he have after the exchange?
3 m
D 4 operations Money Unit conversion Equal stage Sets
390 P5.DE.NK.22122901
Level 3
Hazel had $18.60 in coins. She had four times as many 10-cent as 50-cent coins and 11 more $1 coins than 50-cent coins. How many coins does she have in total?
4 m
D 4 operations Money Unit conversion More than or less than Number x value Units table
391 P5.PA.JM.17083175
Level 3
Collin was training for a swimming competition. On Day 1 of his training, he swam 600 m. On Day 2, he swam 0.1 km more than Day 1. For each subsequent training session, he swam a distance of 0.1 km more than the previous training session.
  1. On Day 5 of his training session, how far did he swim? Give your answer in km.
  2. On which day did he swim a distance of 3 km?
5 m
Equal intervals Length Unit conversion
392 P6.SP.TL.18012286
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
393 P6.SP.JC.17080911
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
4 m
Rate 1 object Unit conversion Volume Filling up with cubes Filling tank Displacement Percent of a whole
394 P3.AP.JM.17102375
Level 3
A piece of wire was 5 m long. Henry cut out part of the wire and bent it into 3 squares of different sizes as shown. What was the length of the wire left? (Give your answer in m and cm.)
4 m
Length Square Unit conversion
395 P6.SP.JC.18011303
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
4 m
Rate more than 1 object Unit conversion Duration Volume
396 P6.SP.JC.21061106
Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.
  1. How many pages were there altogether in the set of notes?
  2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?
4 m
Rate more than 1 object Duration Unit conversion Number x value Units table
397 P6.SP.JC.18011323
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 113 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
  1. how long would it take to print the collection of books using only Printer U? Express your answer in hours.
  2. how long was Printer U used before it broke down? Express your answer in hours.
4 m
Rate more than 1 object Unit conversion Duration Volume
398 P5.VO.JM.17083181
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
4 m
Volume of cuboid Volume transfer Fraction of a whole Unit conversion
399 P5.VO.JM.17083177
Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is 25 filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.
4 m
Volume of cuboid Volume of cube Volume transfer Fraction of a whole Unit conversion
400 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

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