581 P4.AP.JM.17100178
Level 3
The figure is made up of rectangle RSTU and squares PQYX and WYUV. The length of PQ is equal to the length of RS. The length of PX is twice the length of UV. Find the length of QR.
3 m
Length Square Rectangle Rectilinear figure Composite figure perimeter Equal stage Model Times-as-many Units method
582 P5.AP.JM.17083178
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m
Square Rectangle Rectilinear figure Composite figure perimeter Units method
583 P6.DA.JC.23100206
Level 3 PSLE
Students joined one of the four clubs. The bar graph represents the number of students in the clubs. The bar for Drama Club is not shown. There were twice as many students in the Drama Club as in the Art Club. The information is also represented by a pie chart. The names of the clubs are represented by the letters A, B, C and D.
  1. Identify the letters with their respective clubs. Give your answers in the following format. (Eg A, B, C, D)
  2. How many students were there altogether?
4 m
Bar graph Pie chart Percent of a set Times as many Units method
584 P6.AN.NK.17051704
Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.
3 m
Sum of angles in a quadrilateral Ratio to units Units method
585 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
586 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
587 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
588 P3.WN.JM.17110575
Level 1
Find the missing number in the box.
2 m
W Multiplication & division Mass Model Part-whole Units method
589 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
590 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
591 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
592 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
593 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
594 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
595 P6.AP.TL.17090776
Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Rectangle Triangle Overlapping area Folded figure Fraction to units Units method
596 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
597 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
598 P5.AP.JM.17083243
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
3 m
Composite figure area Overlapping area Fraction to units Units method
599 P6.FR.JC.19082905
Level 3
Bryan had some stickers. He gave 15 of his stickers to John and bought 4 new stickers. After that, he gave 13 of his remaining stickers to his brother and bought another 7 new stickers. In the end, Bryan had 55 stickers.
  1. How many stickers did Bryan give to his brother?
  2. How many stickers did Bryan have at first?
4 m
Fraction of a set Remainder concept Working backwards Model Part-whole Units method
600 P3.AP.JC.18012101
Level 3
The perimeter of a rectangle is 80 cm. Its length is 24 cm longer than its breadth. Find
  1. the breadth
  2. the area
4 m
Rectangle Model Comparison Units method

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