171 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
172 P6.PC.TL.16010138
Level 3
60% of the pupils are boys. 40% of the boys and 40% of the girls wear cardigans. What percentage of the pupils do not wear cardigans?
3 m
Finding percent Percent of a set Percent of different bases Branching Unchanged total Units table
173 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
174 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
175 P6.AG.JC.22050602
Level 3 PSLE
The table shows the number of glass bottles collected by 3 boys.
  1. Find the total number of glass bottles Abe, Bob and Tim collected. Express the answer in terms of m in the simplest form.
  2. If m = 9, find the average number of glass bottles the 3 boys collected.
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Average
176 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
177 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
178 P6.PC.TL.16010106
Level 3
Kate and Yvonne collected stamps. Kate gave 30% of her stamps to Yvonne and as a result, Yvonne's stamps increased by 70%. If Kate had 294 stamps left, find the total number of stamps the two girls had at first.
3 m
Percent change by Percent to units Percent of different bases Internal transfer Units table Units manipulation
179 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
180 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

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