201 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
202 P5.VO.NK.23012646
Level 3
A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
  1. Given that the height of the tank is 45 cm, find the volume of water in the tank.
  2. All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
4 m
Volume of cuboid Ratio to units More than or less than Units method
203 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
204 P5.PC.NK.23021711
Level 3
A furniture shop had a 30% discount storewide. The original price of a massage chair was $2300.
  1. How much was the massage chair after discount?
  2. Danny paid $2590 for a massage chair and a sofa. What was the original price of the sofa?
4 m
Percent of a whole Discount F Multiplication Money Units method
205 P5.PC.NK.23021755
Level 3
Yen had some money. She spent 40% on books and 20% of her remaining money on a blouse. She had $168 left.
  1. How much did she have at first?
  2. If the blouse was bought at a 30% discount, what was the original price of the blouse?
4 m
Percent of a whole Discount F Multiplication Money Remainder concept Units method
206 P5.PC.JM.17083135
Level 3
At the pet shelter, the rabbit population increased by 20% in the second month and then by a further 30% in the next 2 months. If there were 585 rabbits in the end, how many rabbits were there at the pet shelter at first?
4 m
Percent of a set Percent change by Percent of different bases F Multiplication Units method
207 P5.AP.JM.17083236
Level 3
The figure is not drawn to scale. ABCD is a rectangle. Triangles AOD and BOC are identical. The area of Triangle COD is 63.14 cm2. The ratio of the area of Triangle AOB to The area of Triangle COD is 3 : 7. Find the area of Triangle AOD.
3 m
Rectangle Triangle Composite figure area Ratio to units Units method
208 P5.DA.JM.17083197
Level 3
The average rainfall for the months of January to May was 155 mm. Each month from January to May, the rainfall was 1 mm more than the month before it. What was the rainfall in January?
3 m
Average Time More than or less than Intervals Units method
209 P5.VO.JM.17083199
Level 3
Figure A shows a rectangular container. It is 35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
  1. Find the capacity of the container in litres.
  2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
4 m
Volume of cuboid Height of cuboid Volume transfer Fraction to units Units method
210 P5.AP.JM.17083139
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
3 m
Triangle Composite figure area Overlapping area Fraction to units Repeated identity Units method

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