81 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
82 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
83 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
84 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
85 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
86 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
87 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
88 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
89 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
90 P6.RD.TL.16010198
Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and apples?
4 m
Fraction to units Ratio to units Equal stage after Unchanged quantity Units table

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