411 P6.PC.TL.16010146
Level 3
Wendy has a bag containing some violet and blue lollipops. If she adds in 15 violet lollipops, 25% of the lollipops in the bag are blue. If she adds in another 25 blue lollipops, 40% of the lollipops in the bag are blue. How many violet lollipops are in the bag?
3 m
Percent to units Percent of different bases Unchanged quantity Units table
412 P6.DA.JC.23030802
Level 2
The pie charts show the number of each type of stationery in boxes, A and B. The total number of stationery in Box A is twice the total number of stationery in Box B.
  1. Find the percentage of erasers in Box A.
  2. What fraction of stationery in Box B is erasers?
  3. The number of erasers in Box A is 40. Find the number of erasers in Box B.
3 m
Pie chart Right angle Fraction of a set Percent of a set Times as many Units method
413 P6.RD.TL.16010171
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Fraction to units Finding ratio R Simplest form Percent to units Percent of different bases More than or less than Equal stage after Repeated identity Common numerator Units table
414 P6.FR.JC.17052905
Level 3
There were 4 more girls than boys in the classroom. Excluding 2 boys, the number of boys was 56 of the number of girls. When another 4 girls joined, what fraction of the pupils were girls? Give the answer in its simplest form.
3 m
Fraction of a set F Simplest form Fraction to units More than or less than Units equations Units table
415 P6.RD.TL.16010161
Level 3
A crate contains some kiwis, apples and watermelons. 0.4 of the apples is equal to 80% of the kiwis. The number of watermelons is 12 of the total number of kiwis and apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?
4 m
Decimal to units Fraction to units Percent to units More than or less than Combined repeated identity Common numerator Units table
416 P6.FR.JC.17053010
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
3 m
Fraction of a whole F Addition & subtraction Fraction to units Area Perimeter Square Units method
417 P6.RD.TL.16010188
Level 3
The total monthly incomes of 24 men is $51000. 58 of them earn the same monthly income each. Each of the remaining men earns 4 times as much per month. Find the difference between the higher monthly income and the lower monthly income.
4 m
Fraction to units Money Times as many Number x value Units table
418 P6.RD.TL.16010194
Level 3
28 kg of potatoes are sorted into 3 sizes: large, medium and small. The ratio by mass of the large to medium to small potatoes is 10 : 3 : 1. There are 45 as many large potatoes as medium potatoes. There are 34 as many small potatoes as large potatoes. There are 10 large potatoes per kilogram. Find the total number of small and medium potatoes.
4 m
Fraction to units Ratio to units Mass Repeated Identity Units table Units & parts
419 P6.RD.TL.16010190
Level 3
The ratio of blue to purple stamps Eva had was 5 : 2. The cost of each of the blue stamps was $1 and the cost of each of the purple stamps was $2. Eva sold 40% of the blue stamps and the total cost of the unsold stamps was $455. How many blue stamps did she have left?
4 m
Ratio to units Percent of a set Money Number x value Units table
420 P6.RD.JO.21042228
Level 3 PSLE
A caterer prepares fish balls for some people attending a party. The ratio of the number of adults to the number of children attending is 2 : 5. Among the children, the ratio of the number of girls to the boys is 4 : 1. A total of 180 fish balls are prepared so that each adult gets 4 fish balls and each child gets 2.
  1. What fraction of the people attending the party are boys?
  2. How many children are attending the party?
4 m
Fraction of a set Ratio to units Branching Number x value Units table

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