301 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
302 P5.WN.NK.22122913
Level 2
Archie has thrice as many buttons as Flynn. How many buttons must Archie give Flynn so that each of them has 40 buttons?
2 m
Times as many Internal transfer Unchanged total Units table
303 P5.RD.JM.17083178
Level 3
At a school carnival, each boy received 3 packets of sweets and each girl received 4 packets of sweets. Each accompanying adult received 2 packets of sweets. 27 of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 5 : 8. Given that only 6601 packets of sweets were given away, how many people were there at the carnival?
4 m
Fraction of a set Fraction to units Ratio to units Combined repeated identity Number x value Units table
304 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
305 P5.RD.JM.17083231
Level 3
In a supermarket, 65% of the number of vegetables sold were carrots and the rest were potatoes. Each carrot cost 50¢ and each potato cost 10¢ less than the cost of each carrot. Given that $195.30 was collected from the sale of the fruits,
  1. how many carrot were sold?
  2. how much was collected from the sale of the potatoes only?
4 m
D 4 operations Percent of a set Money More than or less than Number x value Units table Decimal units
306 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
307 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
308 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
309 P5.RD.NK.22122326
Level
At a concert, 14 of the tickets were sold at full price, 35 of the tickets sold at 40% discount, and the remaining 270 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
4 m
F Addition & subtraction Fraction to units Discount Money Number x value Units table
310 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
311 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
312 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
313 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
314 P5.ST.JC.18121154
Level 3
Adam has 150 blue stickers and red stickers.
60% of them are blue stickers and the rest are red stickers.
When Adam buys more blue stickers,
70% of the stickers are blue stickers.
How many stickers does Adam buy?
4 m
Percent of a set Percent to units Unchanged quantity Units table
315 P5.RD.NK.22122908
Level 3
Pierre had $77.70 more than Henry. After Henry had spent 23 of his money, Pierre had $114.50 more than Henry. How much money did Pierre have at first?
4 m
Fraction to units Money More than or less than Unchanged quantity Units equations Units table
316 P5.RD.JM.17083237
Level 3
Jamie had 126 pens. 23 of them were blue pens and the rest were red pens. After she had given away some blue pens, the ratio of the number of blue pens to the number of red pens became 4 : 3. How many blue pens did she give away?
4 m
Fraction of a set Fraction to units Ratio to units Unchanged quantity Units table
317 P5.ST.JC.18121155
Level 3
Adam has 200 blue stickers and red stickers.
70% of them are blue stickers and the rest are red stickers.
When Adam gives away some blue stickers,
60% of the remaining stickers are blue stickers.
How many stickers does Adam give away?
4 m
Percent of a set Percent to units Unchanged quantity Units table
318 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
319 P5.RD.JM.17083245
Level 3
At the ferry transit terminal, 62.5% of the passengers were male and the rest were female. After 81 female passengers entered the terminal, the percentage of the number of female passengers became 60%. Find the number of female passengers at the terminal at first.
4 m
Percent of a set Percent change to Percent to units Unchanged quantity Units table
320 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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