21 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
22 P6.RD.TL.16010137
Level 3
Fred's father is 7 times as old as his son. His father will be 35 years old in 7 years' time. In how many years' time will Fred be 60% that of his father?
4 m
Percent to units Times as many Unchanged difference Units table
23 P6.RD.TL.16010139
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
4 m
Fraction to units Percent to units Unchanged difference More than or less than Units table Units & parts
24 P6.FR.TL.16010120
Level 3
Rael's age is 25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
3 m
Fraction to units Unchanged difference Units table
25 P6.RD.TL.16010170
Level 3
The average number of mangosteens in Carton C, Carton D and Carton E is 24 and it is 8 more than the average number of papayas in the 3 cartons. 16 of the papayas are in Carton C and the papayas in Carton C is 80% of the number of papayas in Carton D. If each carton has the same number of fruits, what percentage of the fruits in Carton E are mangosteens?
5 m
Fraction to units Finding percent Percent to units Average More than or less than Unchanged difference Units table
26 P6.WN.JC.16010113
Level 2
When Mr Vincent is 34 years old, his nephew is 11 years old. In how many years will he be 2 times as old as his nephew?
2 m
W Addition & subtraction Times as many Unchanged difference Units table
27 P6.WN.JC.16010165
Level 2
Last year, Ben was 4 times as old as his son, Fred. This year, their total age is 52 years old. How old will Ben be when he is 3 times as old as Fred?
2 m
W 4 operations Times as many Unchanged difference Units table
28 P6.WN.JC.16010109
Level 2
Asher had 5 times as many buttons as Carl at first. Then each of them bought an equal number of new buttons. In the end, Carl had 42 buttons and Asher had 3 times as many buttons as Carl. How many buttons did both of them buy altogether?
2 m
W 4 operations Times as many Unchanged difference Units table
29 P6.WN.JC.16010114
Level 2
Mark is 14 years old. His uncle is 42 years older than him. In how many years will Mark's uncle be 3 times as old as Mark?
2 m
W 4 operations More than or less than Times as many Unchanged difference Units table
30 P6.WN.JC.16010139
Level 3
When Mrs Yang was 45 years old, her son was 2 times her daughter's age. Mrs Yang would be twice her son's age when her daughter was 30 years old. How old would Mrs Yang be when her daughter was 18 years old?
4 m
Times as many Unchanged difference Units table Units & parts Elimination

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