261 P6.RD.TL.16010144
Level 3
The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up 25 of her money to pay for her share. After paying for her share, Yvonne had $78 left. How much was the birthday present?
4 m
Fraction of a whole Ratio to units All change Units table Decimal units Units & parts Substitution
262 P6.VO.NK.17053168
Level 3
The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is 34 filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?
4 m
Volume of cube Filling tank Fraction of a whole More than or less than
263 P6.VO.NK.17081503
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
  1. the volume of the pail.
  2. the minimum number of such pails to fill the tank.
4 m
Volume of cuboid Filling tank Min-max Fraction of a whole Ratio to units Units method
264 P6.FR.TL.16010150
Level 3
Container W and Container X were filled completely with sugar. The total mass of 15 of the sugar in Container W and 111 of the sugar in Container X was 640 g. If 411 of the sugar in Container X was poured out, the total mass of the sugar in both containers became 3.54 kg. How much sugar was in
  1. Container W?
  2. Container X?
4 m
Fraction of a whole Mass Units & parts Elimination
265 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
266 P3.FR.JC.18072601
Level 3
A ball is dropped from a height of 120 cm. Every time it hits the ground, it will rebound to half of its original height. What is the total distance the ball has travelled by the time it hits the ground for the 4th time?
4 m
Fraction of a whole W 4 operations Length
267 P5.RD.JM.17083190
Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent 14 of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.
  1. What was the cost of 1 sandwich?
  2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?
5 m
Fraction of a whole Fraction to units Money Times as many Remainder concept Branching Number x value Units method
268 P5.PC.NK.23021709
Level 3
Luke bought a refrigerator and a laptop. The original price of the refrigerator was $3200 and the original price of the laptop was half the original price of the refrigerator. Luke was given a 25% discount on the laptop. How much did Luke pay altogether?
4 m
Percent of a whole Discount Fraction of a whole Money Units method
269 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
270 P5.SP.JC.17083183
Level 3
A cylindrical dispenser of capacity 5.7 ℓ was filled with apple juice to its brim. The milk in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 200 mℓ/min. After 15 min, the tap was turned off and the container was 23 full.
  1. What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
  2. How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
5 m
Rate 1 object Volume of cube Volume transfer Fraction of a whole D Place values D Round off Percent of a whole

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