21 P6.RA.JC.17050710
Level 2
Sofie and Thora shared a sum of money in the ratio 2 : 5. After Sofie spent $45, the ratio became 1 : 3. How much money did Thora have?
2 m
Ratio to units Unchanged quantity Units table
22 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
23 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
24 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
25 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
26 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
27 P6.RA.TL.17042609
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Ratio to units Area Perimeter Unchanged total Units table
28 P6.RA.NK.21060202
Level 1 PSLE
Charles has a number of 10¢, 20¢ and 50¢ coins in the ratio 4 : 2 : 1. The total value of all the coins is $156. What is the total value of the 20¢ coins?
3 m
Ratio to units Money Unit conversion Number x value Units table
29 P6.RA.TL.16010145
Level 3
The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 14 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
3 m
Finding ratio Unchanged total Units table Units manipulation
30 P6.RA.JC.22031501
Level 2 PSLE
Adam, Ben and Charlie shared the cost of a gift. The ratio of Adam's share to the total share of Ben and Charlie was 1 : 3. The ratio of Ben's share to the total share of Adam and Charlie was 1 : 5. Charlie's share was $100 more than Adam's share. How much did the gift cost?
3 m
Ratio to units Combined repeated identity Unchanged total Units table More than or less than
31 P6.RA.NK.21060205
Level 2 PSLE
At first, Logan had $90 and Polly had $60. Each bought a table at the same price. The amounts of money Logan and Polly had left were in the ratio 4 : 1. How much did the table cost?
3 m
Ratio to units Money Unchanged difference Units table
32 P6.RA.TL.16010110
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Ratio to units Area perimeter Square Rectangle Overlapping area Unchanged difference Units table
33 P6.RA.TL.17042601
Level 3
The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
3 m
Finding ratio LCM Overlapping area Unchanged difference Units method
34 P6.RA.TL.17042602
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m
Finding ratio LCM Area perimeter Rectangle Overlapping area Unchanged difference Units method
35 P6.RA.TL.16010122
Level 3
In a jar, the ratio of the number of yellow balls to the number of purple balls was 1 : 3. Each time, 5 yellow and 7 purple balls were taken out of the jar. A while later, only 120 purple balls were left in the jar. What was the total number of balls in the jar at first?
3 m
Ratio to units All change Units table
36 P6.RA.TL.16010120
Level 3
The ratio of the boys to the girls in school was 5 : 2. After 6 boys went home and 8 new girls came, there were 7 more boys than girls in the end. Find the number of children in the school at first.
3 m
Ratio to units More than or less than All change Units table Units equations
37 P6.RA.TL.16010119
Level 3
The ratio of Zoe's to Isabelle's incomes was 6 : 1 at first. After Zoe and Isabelle were given another $654 and $341 respectively, Zoe had 4 times as much money as Isabelle. How much did both of them have in the end?
3 m
Ratio to units Money Times as many All change Units table Units & parts Elimination
38 P6.RA.TL.16010159
Level 3
Sean and Jack have some money. If Sean gives $293 to Jack, the ratio of their money will be 3 : 5. If Sean gives $424 to Jack, the ratio of their money will be 1: 3. How much does Sean have?
3 m
Ratio to units Money Internal transfer Unchanged total Double if Units equations Units table
39 P6.RA.TL.16010180
Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
3 m
Ratio to units Volume More than or less than Equal stage Units table Units manipulation
40 P6.RA.NK.21060206
Level 3 PSLE
The pupils at a camp are divided in Group A and Group B. The ratio of the number of boys to girls in Group A is 5 : 4. The ratio of the number of boys to girls in Group B is 5 : 1. There are 2 times as many pupils in Group B as in Group A. There are 20 more boys in Group B than Group A. What is the total number of girls?
4 m
Ratio to units More than or less than Times as many Combined repeated identity Units manipulation Units table

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