421 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
422 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
423 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
424 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
425 P6.FR.JO.21042214
Level 3 PSLE
Rael, Sam and Fred had 180 stickers altogether. Rael gave 310 of his stickers to Sam and 15 of his stickers to Fred. After that, all three boys had the same number of stickers. What was the difference in the number of stickers between Sam and Fed at first?
3 m
Fraction of a set F Addition & subtraction Internal transfer unchanged total Equal stage after Units table
426 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
427 P6.DE.JM.17032802
Level 3
After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?
4 m
D 4 operations Length Units method
428 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
429 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
430 P6.RA.TL.16010157
Level 3
Three types of pepper, W, X and Y come in containers of 150 g, 300 g and 400 g respectively. Containers of W, X and Y are mixed together in the ratio 1 : 6 : 7 to obtain 38 kg of an assortment of pepper.
  1. How many containers of W and X are used altogether?
  2. Find the difference between the combined weight of all the pepper in containers X and containers Y as compared to the pepper in containers W. Express the weight in kilograms.
4 m
Ratio to units Mass Unit conversion Number x value Units table
431 P6.RD.TL.16010155
Level 3
Rael and Ethan had some coins in the ratio of 11 : 6. Ethan and Sean had some coins in the ratio of 2 : 1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?
4 m
Fraction of a set Ratio to units Repeated identity Internal transfer Units table
432 P6.RD.JC.19082902
Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.
  1. What was the percentage increase in Fabian's marbles after receiving from Henry?
  2. How many marbles did Gilbert have at first?
4 m
Ratio to units Percent of a set Percent change by More than or less than Equal stage after Internal transfer Units table Decimal units
433 P6.RD.JC.19082904
Level 3
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave 310 to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?
4 m
Fraction of a set Ratio to units Percent to units Percent change by More than or less than Internal transfer Units table Decimal units
434 P6.PC.JC.21060209
Level 2 PSLE
At first, Binbin had 75 dolls and some soft toys. After she gave away 25 dolls and 20% of the soft toys, she had a total of 74 dolls and soft toys. How many soft toys did Binbin have at first?
3 m
Percent to units All change Units table
435 P6.RA.TL.16010164
Level 3
Rachel had 2060 mℓ more orange juice than Yvonne. After Rachel gave Yvonne 550 mℓ of orange juice, the ratio of Rachel's orange juice to Yvonne's orange juice became 5 : 2. How much orange juice did Rachel have at first? Give your answer in millilitres.
4 m
Ratio to units More than or less than Working backwards Model & units table Units & parts
436 P6.FR.JC.17053012
Level 3 PSLE
Three girls used the same number of pearls to make necklaces. Dana used 25 of her pearls, Esther used 34 of hers and Fina used 23 of hers. They had a total of 1440 pearls at first. How many pearls did each girl use?
3 m
Fraction to units Common numerator Units table
437 P6.SP.TL.18012220
Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
3 m
Different speed Direct ratio Fraction to units More than or less than Units method
438 P6.RD.TL.16010113
Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than 12 of the total number of cartons. How many more cartons were unpainted than painted on the first day?
4 m
Fraction to units Percent to units More than or less than Unchanged total Units equations Units table
439 P6.RA.TL.16010146
Level 3
The number of boys to the number of girls in Primary 4 Kindness was 4 : 7. The number of boys to the number of girls in Primary 4 Joy was 4 : 7. Both classes had the same number of boys. When 18 girls from Primary 4 Kindness joined Primary 4 Joy, the ratio of the number of boys to the number of girls in Primary 4 Kindness became 2 : 3. Find the total enrolment of both classes.
4 m
Ratio to units Equal stage Unchanged quantity Internal transfer Unchanged total Units table
440 P6.FR.JO.21042217
Level 3 PSLE
Ian had a total of 810 long and short rulers. After selling an equal number of both types, he had 13 of the long rulers and 16 of the short ones left. What was the total number of rulers left?
3 m
Fraction to units Common numerator All change Units table

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