641 P5.DA.JM.17083193
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.
5 m
Average Time Fraction of a whole Ratio to units Unchanged total Units method
642 P5.WN.JC.17083255
Level 3
Fanny and Gillian collected some stamps. If Fanny gave Gillian 52 stamps, both would have an equal number of stamps. If Gillian gave Fanny 40 stamps, Fanny would have 5 times as many stamps as Gillian. Find the number of stamps each of them had.
  1. Fanny?
  2. Gillian?
4 m
Times as many Equal stage after Internal transfer Double if Units equations Units table
643 P5.AP.JM.17083210
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Square Composite figure area Fraction to units Units method
644 P5.PC.JC.17083140
Level 3
There was an equal number of mangoes and pineapples. On Monday, some mangoes were added, such that the number of mangoes increased by 80%. On Tuesday, the number of mangoes further increased by 50% and the number of pineapples decreased by 20%. There were 38 more mangoes than pineapples in the end. How many mangoes and pineapples were there altogether at first?
5 m
Percent change by Percent of different bases More than or less than Equal stage before All change Units table Decimal units
645 P5.PC.JM.17083151
Level 3
At first, the ratio of the number of boys to the number of girls at a school playground was 2 : 5. When 48 girls and some boys entered the playground, the number of girls increased by 12% and the total number of children at the playground increased by 20%.
  1. How many boys were there at first?
  2. What percentage of the children at the playground were boys in the end? Express your answer as a mixed number.
5 m
Finding percent Percent of a set Percent change by Percent of different bases Mixed numbers Ratio to units All change Decimal units
646 P5.AP.JM.17083226
Level 3
The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of Square ABCD is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 250 m, AB is 38 of GK and FE is 150 m, find
  1. the cost of building the picnic area.
  2. the cost of fencing the fountain.
4 m
Composite figure area Money Fraction to units Units method
647 P5.WN.JC.17083158
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
4 m
Length Repeated patterns Intervals Units method
648 P5.FR.JC.17122916
Level 3
There were some pears, guavas and mangoes. The number of pears was three times the number of guavas. The total number of pears and guavas was half of the number of mangoes. There were 180 fruits altogether. All the mangoes were sold at 6 for $20. How much money was collected from the sale of the mangoes?
4 m
Fraction to units W 4 operations Money Times as many Combined repeated identity Sets Units method
649 P5.AP.JM.17083182
Level 3
In the figure, Rectangle PQRS is made up of 8 identical rectangles. OR = 16 cm and SU = UY. Find the area of Triangle SQU.
4 m
Rectangle Triangle Composite figure area Units & parts Substitution
650 P5.FR.NK.22122016
Level
Linda sold $1078 worth of dresses and jumpsuits. She earned $110 less on the jumpsuits than the dresses. Each jumpsuit is sold for $4 more than each dress. The number of jumpsuits sold was 23 of the number of dresses sold.
  1. How much did Linda earn from the sales of the dresses?
  2. How many dresses were sold?
4 m
Fraction to units Money More than or less than Sets
651 P5.FR.JC.17100393
Level 3
Fion used 47 of the flour to bake a cake. She used 14 of the remaining flour to bake some muffins. Given that Fion was left with 450 g of flour, how much flour did she have at first?
4 m
Fraction of a whole F Multiplication Mass Remainder concept Branching Working backwards Model Part-whole Units method
652 P5.AP.JM.17083244
Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the 15 mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)
4 m
Square Composite figure area Overlapping area Fraction of a whole Fraction to units Units method
653 P5.FR.JC.17100394
Level 3
Serena used 25 of the flour and an additional 50 g to bake some cake. She used 14 of the remaining flour to bake some muffins. Given that Serena was left with 156 g of flour, how much flour did she have at first?
4 m
Fraction of a whole F Division Mass Remainder concept Working backwards Model Part-whole Units method
654 P5.FR.JM.170830104
Level 3
Jessa, Tessa and Titus shared some cookies. Jessa took 6 more than 14 of the cookies. Tessa took 2 more than 23 of the rest of the cookies. Titus took the last 12 cookies. How many cookies did Tessa take?
4 m
Fraction of a set More than or less than Remainder concept Working backwards Model Part-whole Units method
655 P5.AP.JM.17083248
Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 310 of Rectangle A and 16 of Rectangle C are shaded. The shaded area is 36 cm2. Find the total unshaded area of the figure.
4 m
Rectangle Rectilinear figure Overlapping area Fraction to units Ratio to units Units table
656 P5.FR.JC.17100385
Level 3
Serena used 25 of the flour and an additional 50 g to bake some cake. She used 14 of the remaining flour and an additional 24 g to bake some muffins. Given that Serena was left with 168 g of flour, how much flour did she have at first?
4 m
Fraction of a whole F Division Mass Remainder concept Working backwards Model Part-whole Units method
657 P5.FR.JM.170830105
Level 3
In a class, 14 of the students and an additional 3 boys like basketball. 13 of the remaining students in the class less 3 students like badminton and the rest of the 25 students in the class like rugby. How many students are there in the class?
4 m
Fraction of a set More than or less than Remainder concept Working backwards Model Part-whole Units method
658 P5.WN.NK.22122010
Level 3
Jake and Kenneth had the same number of sweets. Each of them packed his own sweets into packets. Jake packed 5 sweets in each packet and had 2 sweets left. Kenneth packed 8 sweets in each packet and was short of 4 sweets.
  1. How many sweets did each of them have if they have used the same number of packets?
  2. What was the smallest possible number of sweets each of them had if they used different number of packets?
4 m
Multiples with remainder Number x value Units table Systematic listing
659 P5.WN.NK.22122302
Level 3
Elyse, Yoko and Shannon had a sum of money. Elyse and Yoko had $112 altogether. Yoko and Shannon had $272 altogether. The amount that the three girls had in total was 7 times the amount that Yoko had. How much did Yoko have?
4 m
Money Times as many Units method
660 P5.FR.JM.17083095
Level 3
There were some guavas at a fruit stall. In the morning, 16 of the guavas were sold. In the afternoon, another 30 guavas were sold. The total number of guavas sold was 5 less than 712 of the number of guavas the fruit stall had at first.
  1. How many guavas were there at first?
  2. What fraction of the guavas in the stall remained unsold in the afternoon?
5 m
Fraction to units More than or less than Repeated identity Units equations Units table Unit manipulation

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