41 P6.RA.NK.21060203
Level 1 PSLE
The ratio of the number of vests to that of skirts in a shopping centre was 3 : 2 at first. After 30 skirts were sold, the ratio of the number of vests to that of skirts became 4 : 1. What was the total number of vests and skirts in the shopping centre at first?
2 m
Ratio to units Unchanged quantity Units table
42 P6.RA.JC.23030110
Level 3
The number of boys and girls in a hall were in the ratio 2 : 7. After 15 boys entered the hall and half the number of girls left the hall, the ratio of the number of boys to girls became 1 : 1. How many children were there in the hall at first?
2 m
Ratio to units Equal stage after All change Decimal units Units table
43 P6.ST.JC.18121459
Level 2
Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 3 : 2.
The ratio of the number of boys to the number of girls in Class B is 4 : 5.
The number of boys is the same.

  1. Number of boys in Class A = _____ u
  2. Number of girls in Class B = _____ u
  3. Number of children in Class B = _____ u
  4. Total number of children = _____ u
4 m
Ratio to units Equal stage Units table Units manipulation
44 P6.ST.JC.18121460
Level 2
Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 3 : 2.
The ratio of the number of boys to the number of girls in Class B is 4 : 5.
The number of boys is the same.

  1. Difference in the number of children in Class A and Class B = _____ u
  2. Difference in the number of girls in Class A and Class B = _____ u
  3. Total number of boys = _____ u
  4. Total number of girls = _____ u
4 m
Ratio to units Equal stage Units table Units manipulation
45 P6.RD.JO.21042229
Level 2 PSLE
Sam kept his gold and silver stars in two boxes. The ratio of the number of gold to silver stars in the first box was 1 : 5 and it was 1 : 2 in the second box. The two boxes contained the same number of stars. What fraction of Sam's stars were goId stars?
2 m
Fraction of a set Ratio to units Equal stage Units manipulation Units table
46 P6.ST.JC.18121462
Level 3
Fill in the blanks in units (Eg 3 u) or unit equations (Eg 1 u + 2).

Adam and Bryan have some stickers.
Bryan uses 14 of his stickers and
Adam uses 34 of his stickers.
In the end, the number of stickers Adam and Bryan have is in the ratio of 1 : 5.
  1. Number of stickers that Bryan has in the end = _____
  2. Number of stickers that Adam has at first = _____
  3. Number of stickers that Bryan has at first = _____
  4. Total number of stickers that they have at first = _____
4 m
Fraction to units Ratio to units All change Units table Units manipulation
47 P6.ST.JC.18121463
Level 3
Fill in the blanks in units (Eg 1 u) or unit equations (Eg 1 u + 2).

Adam and Bryan have some stickers.
Bryan uses 14 of his stickers and
Adam buys 34 more stickers.
In the end, the number of stickers that Adam and Bryan have is in the ratio of 1 : 5.
  1. Number of stickers that Bryan has in the end = _____
  2. Number of stickers that Adam has at first = _____
  3. Number of stickers that Bryan has at first = _____
  4. Total number of stickers that they have at first = _____
4 m
Fraction to units Ratio to units All change Units table Units manipulation
48 P6.ST.JC.18121466
Level 3
Fill in the blanks in units (Eg 3 u) or unit equations (Eg 1 u + 2).

Adam, Bryan and Chris have some stickers.
After Adam's number of stickers is doubled,
Bryan's number of stickers is increased by 10 and
Chris' number of stickers is reduced by 8,
the ratio of the number of stickers of Adam to Bryan to Chris becomes 4 : 2 : 1.

Let the number of stickers that Chris has in the end be 1 u.
  1. Number of stickers that Adam has at first = _____
  2. Number of stickers that Bryan has at first = _____
  3. Number of stickers that Chris has at first = _____
  4. Total number of stickers that they have at first = _____
4 m
Ratio to units All change Working backwards Units table
49 P6.AG.JC.17080415
Level 2
Mrs Tan and her two children received $5k in the ratio 2 : 3. If her son received $100 more than her daughter, how much did her daughter receive? Leave your answer in terms of k.
2 m
Algebra in 1 variable Algebra fractions Ratio to units Money More than or less than Units method
50 P6.RD.JC.17031303
Level 3 PSLE
In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.
  1. What fraction of square ACEG is shaded?
  2. If the length of the square is 96 cm, find the unshaded area in cm2.
3 m
Fraction to units Ratio to units Area Perimeter Square Cut & paste
51 P6.AP.TL.17090716
Level 2
The circles are not drawn to scale. The small circle is with radius a and the big circle is with radius A. The ratio of a to A is 4 : 7. If the area of the small circle is 169π cm2, find A. Express the answer in mixed number.
2 m
Square & square root Circle Mixed numbers Ratio to units Units method
52 P6.RA.NK.21060201
Level 2 PSLE
One box of 15 apples cost $8 each. Three friends shared the cost of 60 apples in the ratio 1 : 2 : 5. What was the cost for the smallest share?
2 m
Ratio to units Min-max Units method
53 P6.RD.TL.17042445
Level 3
In the figure, not drawn to scale, 40% of the triangle XEZ is shaded. The ratio of the shaded part of circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle WXZY is shaded?
3 m
Ratio to units Finding percent Percent to units Area perimeter Repeated identity Units table
54 P6.RD.TL.16010107
Level 3
At a stall, the ratio of watermelons to coconuts was 8 : 13. After Kate bought two-thirds of the coconuts, there was a total of 111 watermelons and coconuts left at the stall. How many fruits were there at first?
3 m
Fraction to units Ratio to units Unchanged quantity Units table Units manipulation
55 P6.RD.TL.16010108
Level 3
The amount of Isabelle's salary to Sarah's salary is 2 : 9. If Isabelle spends 35 of her salary, she will have $902 less than Sarah. How much salary does Sarah have?
3 m
Fraction to units Ratio to units Money More than or less than Unchanged quantity Units table Units manipulation
56 P6.RD.TL.16010106
Level 3
There were some pencils in Box A and Box B. After Carl transferred 34 of the pencils from Box A to Box B, the ratio of the number of pencils in Box A to that in Box B changed to 2 : 9. Find the ratio of the numbers of pencils in Box A to the number of pencils in Box B at first.
3 m
Fraction of a set Fraction to units Ratio to units Internal transfer Unchanged total Units table Units manipulation
57 P6.RD.JC.16010108
Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 m
Fraction of a whole Ratio to units Area perimeter Square Overlapping area Unchanged total Units table
58 P6.RA.TL.16010134
Level 3
Wendy and Anna have $294. Violet and Wendy have $493. The ratio of Anna to Violet is 1 : 2. How much does Wendy have?
3 m
[Ratio to units Money Repeated identity Model Units method
59 P6.RD.TL.17042603
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
3 m
Fraction to units Ratio to units Area perimeter Square Times as many Unchanged total Units table Units manipulation
60 P6.RA.NK.17082801
Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
3 m
Area Perimeter Rectangle Ratio to units Repeated identity Units table

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