21 P6.AP.TL.17090761
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest circle?
2 m
Circle Overlapping area Fraction to units Ratio to units Unchanged total Units table
22 P6.PC.TL.16010105
Level 3
Ethan and Ian share a sum of money. Ethan receives $2400. If Ethan gets $105 less, the amount of money Ian gets will increase by 35%. Find the sum of money that the boys share.
3 m
Percent change by Percent to units Money Internal transfer Unchanged total Units table
23 P6.PC.TL.16010107
Level 3
Carl was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
3 m
Percent of a set Percent to units Percent of different bases Unchanged total Units table Units manipulation
24 P6.PC.TL.16010131
Level 3
Henry, Jack and Liam sold some calculators. Liam sold 30% of the total number of calculators sold by Jack and Henry. Henry sold 20% of the total number of calculators sold by Jack and Liam. Jack sold 87 more calculators than Liam. Find the total number of calculators sold by all the boys.
3 m
Percent of a set Percent to units Percent of different bases Unchanged total Units table
25 P6.PC.TL.16010132
Level 3
Betty, Mary and Jane shared a sum of money. Betty and Mary received 80% of the total amount of money. Mary and Jane received 50% of the total amount of money. Given that Betty received $66 more than Jane, how much was the sum of money that was shared by Betty and Jane?
3 m
Percent to units Money Unchanged total Units table
26 P6.PC.TL.16010148
Level 3
The petrol tank of Fred's convertible was 80% empty. He went to the petrol kiosk and topped up 25ℓ of petrol. When he reached the theme park, the petrol tank was 90% full. Given that he used 4ℓ of fuel to get to the theme park from the kiosk, find the capacity of the petrol tank.
3 m
Percent of a whole Percent change to Percent to units Percent of different bases Volume Unchanged total Units table Units manipulation
27 P6.PC.TL.16010108
Level 3
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?
3 m
Percent to units Percent of different bases Internal transfer Unchanged total Units table
28 P6.FR.JO.21042214
Level 3 PSLE
Rael, Sam and Fred had 180 stickers altogether. Rael gave 310 of his stickers to Sam and 15 of his stickers to Fred. After that, all three boys had the same number of stickers. What was the difference in the number of stickers between Sam and Fed at first?
3 m
Fraction of a set F Addition & subtraction Internal transfer unchanged total Equal stage after Units table
29 P6.RD.TL.16010113
Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than 12 of the total number of cartons. How many more cartons were unpainted than painted on the first day?
4 m
Fraction to units Percent to units More than or less than Unchanged total Units equations Units table
30 P6.RA.TL.16010146
Level 3
The number of boys to the number of girls in Primary 4 Kindness was 4 : 7. The number of boys to the number of girls in Primary 4 Joy was 4 : 7. Both classes had the same number of boys. When 18 girls from Primary 4 Kindness joined Primary 4 Joy, the ratio of the number of boys to the number of girls in Primary 4 Kindness became 2 : 3. Find the total enrolment of both classes.
4 m
Ratio to units Equal stage Unchanged quantity Internal transfer Unchanged total Units table
31 P6.RA.TL.16010138
Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
4 m
Ratio to units More than or less than Equal stage after Combined repeated identity Unchanged total Units table
32 P6.RD.TL.16010105
Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva 37 of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.
4 m
Fraction to units D Place values D Round off Finding percent Percent to units Internal transfer Unchanged total Units table Units manipulation
33 P6.RD.TL.16010174
Level 3
Sean, Tim, Fred and Mark paid a total of $132 for a souvenir. Mark paid 38 of what the rest paid. Sean paid 20% of what the rest paid. Tim and Fred paid an equal amount of money. How much did Fred pay?
4 m
Fraction to units Percent to units Money Units Table Combined repeated identity Unchanged total
34 P6.RD.TL.16010175
Level 3
Four boys, Vincent, Asher, Oscar and Zane saved some money. Asher's savings was 512 of the total savings of Vincent, Oscar and Zane. Vincent's savings was 20% of the total savings. Oscar's savings was 12 of the total savings of Asher and Zane. If Asher's savings was $10650, how much less was Vincent's savings than the total of the other 3 boys?
4 m
Fraction to units Percent to units Money More than or less than Combined repeated identity Unchanged total Units table Units manipulation
35 P6.FR.JC.17052904
Level 3
3 sisters, Tammy, Hazel and Yoko, paid a total of $168 for a gift. Tammy paid 14 of what the rest paid. Hazel paid 16 of what the rest paid. How much did Yoko pay?
3 m
Fraction to units Money Unchanged total Units table
36 P6.FR.TL.16010141
Level 3
Xavier, Peter, Nick and Sean bought a projector for their aunt. Xavier paid 13 of what the rest paid. Peter paid 15 of what the rest paid. Nick paid 14 of what the rest paid. Sean paid $48 more than Xavier. How much did the projector cost?
3 m
Fraction to units Money More than or less than Unchanged total Units table
37 P6.FR.TL.16010159
Level 3
$258 is to be divided among a certain number of people. Half of the people received $3 each, 512 of the people received $4 each and the rest received $5 each. How many people are there altogether?
3 m
Fraction to units Money Combined repeated identity Number x value Unchanged total Units table
38 P6.RD.JC.16010136
Level 3
Tank E contained 4 times as many guppies as Tank F. When 10% of the guppies in Tank E and 10% of the guppies in Tank F were transferred to Tank G, Tank G had 120 guppies, which was 20% more guppies than before. How many less guppies were there in Tank F than Tank E in the end?
4 m
Percent to units Percent of different bases More than or less than Times as many Branching Internal transfer Unchanged total All change Units table Decimal units
39 P6.RD.TL.16010196
Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have 13 as many pens as Anna. How many pens does Yvonne have at first?
4 m
Fraction to units Times as many Internal transfer Unchanged total Double if Units equations Units table
40 P6.PC.TL.16010124
Level 3
Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave 50% of his muffins to Tim. In the end, Rael had 448 less muffins than Tim. How many muffins did Tim have at first?
4 m
Percent of a set Percent to units Percent of different bases More than or less than Internal transfer Unchanged total Units table

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