51 P6.RA.TL.16010111
Level 2
Mark and Nick shared some beads in the ratio of 4 : 7. After both each gave away 47 beads to their younger brother, the ratio of the number of beads Mark had to the total number of beads left was 1 : 3. How many beads did the two boys have at first?
2 m
Ratio to units Unchanged difference Units table
52 P6.RD.JC.18090601
Level 2
At a club dinner, every member brought 1 or 2 guests. If the ratio of the number of members to the number of guests was 3 : 5, what fraction of the members who brought 2 guests each?
2 m
Fraction of a set Ratio to units Make supposition
53 P6.RA.TL.16010115
Level 2
Mr George is 3 times as old as his son, Nick. 6 years ago, the ratio in the age of Mr George and Nick was 7 : 2. Find Nick's current age.
2 m
Ratio to units Times as many Unchanged difference Units table
54 P6.ST.JC.18121454
Level 3
Fill in the blanks in numbers, units or unit equations.
Adam and Bryan share a sum of money in the ratio 5 : 7.
After Adam gives 23 of his money to Bryan,
Bryan has $52 more than Adam.

  1. Difference in the amount between Adam and Bryan at first = _____ u
  2. Amount that Bryan has in the end = _____ u
  3. Total amount that they have in the end = _____ u
  4. 1 u = $_____
4 m
Fraction to units Ratio to units Internal transfer Units table Units manipulation
55 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
56 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
57 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
58 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
59 P5.RA..JC.17122901
Level 2
Amin has a number of $2 and $5 notes in the ratio of 7: 4. The total value of all the notes is $306. How many $5 notes does Amin have?
2 m
Ratio to units Money Number x value Units table
60 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

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