401 P6.RD.TL.16010181
Level 3
In a school, 0.8 of the girls and 0.3 of the boys take part in CCAs. There is an equal number of boys and girls who do not take part in CCAs. If 378 pupils do not take part in CCAs, how many more pupils take part in CCAs than those who do not take part in CCAs?
4 m
Decimal to units More than or less than Equal stage Combined repeated identity Remainder concept Units table Units manipulation
402 P6.DA.TL.18011919
Level 3
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?
3 m
Average Mass W 4 operations Sets Mass Repeated identity Units & parts & boxes
403 P6.RD.TL.16010178
Level 3
There are some pupils in the zoo. 25 of them are girls, of whom 20% of them do not wear caps. 23 of the boys do not wear caps. What is the percentage of the pupils in the zoo who wear caps?
4 m
Fraction to units Finding percent Percent to units Combined repeated identity Remainder concept Units table Units manipulation
404 P6.PC.JC.18010809
Level 3 PSLE
At first, Leah had a total of 66 blue and purple balloons. 17 purple balloons burst. She then increased the number of blue balloons by 75%. After that, Leah had a total of 79 balloons. How many purple balloons did she have at first?
3 m
Percent change by Percent to units All change Units table
405 P6.SP.JC.21022401
Level 3
A car is travelling from Town A to Town B. At 60 km/h, it will arrive four hours later than the scheduled time. At 70 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town A and Town B?
3 m
DST triangle Different speed Same starting point Same starting time Same distance Duration Units equations
406 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
407 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
408 P6.RD.JC.17062002
Level 3 PSLE
At first, Jack had some money. He spent 14 of it on a T-shirt and 25 of the remainder on a pair of shoes. After that, his parents gave him $240. The ratio of the total amount of money he had at the end to the amount of money he had at first was 5 : 4. How much money did Jack have at first?
4 m
Fraction to units Ratio to units Remainder concept Branching Units method
409 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
410 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
411 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
412 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
413 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 monthly. Find the difference between the higher income and the lower income per month.
4 m
Fraction to units Money Times as many Number x value Units table
414 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
415 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
416 P6.DA.JC.21022201
Level 3
Some pupils took a Math exam. Their average score was 74.7 marks. One of the pupils' scores was wrongly recorded as 68 marks instead of 86 marks. As a result, the average score was calculated as 73.5 marks. How many pupils sat for the exam?
3 m
2 Averages Average with unknown quantity Number x value Units table
417 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
418 P6.RD.TL.16010192
Level 3
At a gathering, 13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 2 keychains and each girl is given 5 keychains. Each accompanying adult receives 6 keychains. Given that only 368 keychains are given away to boys and adults, how many more children are there than adults?
4 m
Fraction to units Ratio to units More than or less than Combined repeated identity Number x value Units table Units manipulation
419 P6.RA.NK.21060206
Level 3 PSLE
The pupils at a camp are divided in Group A and Group B. The ratio of the number of boys to girls in Group A is 5 : 4. The ratio of the number of boys to girls in Group B is 5 : 1. There are 2 times as many pupils in Group B as in Group A. There are 20 more boys in Group B than Group A. What is the total number of girls?
4 m
Ratio to units More than or less than Times as many Combined repeated identity Units manipulation Units table
420 P6.RD.JC.22031810
Level 3 PSLE
At a swimathon, each swimmer completed either a 2-km route, a 4-km route or an 5-km route. 15 of the swimmers completed the 2-km route, 720 of the participants completed the 4-km route and the rest completed the 5-km route. For every 1 km a participant swam, $8 was donated to charity. A total of $12960 was donated to charity.
  1. What is the ratio of the number of swimmers who completed the 2-km route to the number who completed the 4-km route to the number who completed the 5-km route?
  2. What is the total number of swimmers at the swimathon?
4 m
F Addition & subtraction Fraction to units Finding Ratio Length Number x value Units table

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