41 P6.FR.JO.21042221
Level 2 PSLE
Pupils in a school are put into two groups for an excursion. 25 of the pupils are in Group A and the rest in Group B. 14 of the pupils in Group A are boys. In the school, 310 of the pupils are boys. What fraction of the pupils in Group B are boys?
2 m
Fraction of a set Fraction to units Combined repeated identity Unchanged total Units table Units manipulation
42 P6.RA.JC.22031501
Level 2 PSLE
Adam, Ben and Charlie shared the cost of a gift. The ratio of Adam's share to the total share of Ben and Charlie was 1 : 3. The ratio of Ben's share to the total share of Adam and Charlie was 1 : 5. Charlie's share was $100 more than Adam's share. How much did the gift cost?
3 m
Ratio to units Combined repeated identity Unchanged total Units table More than or less than
43 P6.PC.TL.16010134
Level 3
At a theme park, there were 60% as many boys as girls and 30% more adults than boys. Given that there were 90 more adults than boys at the theme park, how many children were there altogether?
3 m
Percent to units Percent of different bases More than or less than Repeated identity Units table
44 P6.PC.TL.16010127
Level 3
Isabelle has 40% as many beads as Violet and 80% less beads than Sarah. If they have a total of 102 beads, how many beads do Isabelle and Sarah have?
3 m
Percent to units Percent of different bases More than or less than Repeated identity Units table
45 P6.PC.TL.16010128
Level 3
The number of lemons a fruit seller bought in December was 30% more than in November. In January, he bought 50% less lemons than in December. If there were 3577 more lemons in November than January, how many lemons did the fruit seller buy in November?
3 m
Percent to units Percent of different bases More than or less than Repeated identity Units table
46 P6.RD.TL.17042721
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
  1. Find the ratio of the area of Pentagon A to the area of Pentagon C.
  2. 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
4 m
Fraction to units Finding ratio Ratio to units Area perimeter Overlapping area Repeated identity Units method
47 P6.RD.TL.17042614
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
4 m
Percent of a whole Percent to units Percent of different bases Area perimeter Triangle Overlapping area Repeated identity Units method
48 P6.RD.TL.16010169
Level 3
In a container, there are candies of 3 colours, yellow, white and purple. There are 108 more white candies than purple candies. The number of purple candies is 12 more than the yellow candies. Given that the number of purple candies is 24% of the total number of candies in the container, how many more white candies are there than yellow candies?
4 m
Fraction of a set Percent of a whole Percent to units More than or less than Combined repeated identity Units manipulation Model & units table
49 P6.AP.TL.17090762
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
2 m
Circle Overlapping area Fraction of a whole Finding ratio Ratio to units Repeated identity Units table
50 P6.RD.TL.16010179
Level 3
During a survey, some people responded that they preferred badminton to other sports. The ratio of the number of women to the number of men who liked badminton was 3 : 1. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. If 20% of the people who did not like badminton were women, what was the ratio of the number of men to the number of women chosen for the survey?
4 m
Ratio to units Percent to units Combined repeated identity Remainder concept Units table Decimal units
51 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
52 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
53 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
54 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
55 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
56 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
57 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
58 P6.FR.TL.16010140
Level 3
The length of Bamboo Pole G is 14 of the length of Bamboo Pole H and the length of Bamboo Pole H is 13 of the length of Bamboo Pole I and 110 of the length of Bamboo Pole J. What fraction of the total length of the 4 planks is Bamboo Pole I?
3 m
Fraction to units Repeated identity Units table Units manipulation
59 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
60 P6.RD.TL.16010159
Level 3
A bakery baked some kaya, strawberry and milo cupcakes. For every 3 kaya cupcakes that were baked, 2 milo cupcakes were baked. For every 4 kaya cupcakes that were baked, 3 strawberry cupcakes were baked.
  1. Find the ratio of the number of kaya cupcakes to strawberry cupcakes to milo cupcakes baked.
  2. After the bakery baked another 130 milo cupcakes, 30% of the cupcakes now were milo cupcakes. How many kaya cupcakes did the bakery bake?
4 m
Finding ratio Percent to units Repeated identity Unchanged quantity Units table Units manipulation

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