76 P6.FR.TL.16010131
Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave 34 of whatever she had then to Diana. Finally, Diana gave 27 of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?
5 m
Fraction to units Equal stage after Unchanged total Working backwards Units table Units & parts & boxes Substitution
77 P6.AP.TL.17090842
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
5 m
Circumference Ratio to units Distance apart Equal stage Units method
78 P6.WN.TL.16010103
Level 3
The total price of 6 grapefruits and 4 avocados is the same as that of 10 grapefruits and 3 avocados. Each grapefruit costs $3 less than each avocado. How much does each avocado cost?
3 m
W 4 operations Money Unit Conversion More than or less than Equal stage Units equations Units & parts Substitution
79 P6.WN.JC.16010104
Level 2
Violet had 6 times as many erasers as Jane at first. After Violet gave 40 erasers to Jane, they each had the same number of erasers in the end. How many erasers did Violet have at first?
3 m
W 4 operations Times as many Equal stage after Internal transfer Units table
80 P6.WN.JC.16010150
Level 3
A jar contained $2 and $5 notes with a total value of $518. 4 pieces of $5 were exchanged for $2 notes of similar value. In the end, the number of $2 notes was the same as the $5 notes. How many $5 notes were there at first?
3 m
W 4 operations Proportional exchange Equal stage after Number x value Units table

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