41 P5.ST.JC.18121106
Level 2
Adam and Bryan have some stickers in the ratio of 3 : 2.
When Adam gives away 40 stickers,
the ratio of the stickers becomes 1 : 3.
  1. How many stickers do they have at first?
  2. How many stickers do they have in the end?
3 m
Ratio to units Unchanged quantity Units table
42 P5.ST.JC.18121107
Level 2
Adam and Bryan have some stickers in the ratio of 1 : 3.
When Adam buys another 40 stickers,
the ratio of the stickers becomes 3 : 2.
  1. How many stickers do they have at first?
  2. How many stickers do they have in the end?
3 m
Ratio to units Unchanged quantity Units table
43 P6.PC.TL.16010103
Level 3
Some adult passengers are on a coach. If 25 tourists alight from the coach, the percentage of locals will increase from 15% to 40%. How many passengers are there in the coach?
3 m
Percent change to Percent to units Percent of different bases Unchanged quantity Units table
44 P6.PC.TL.16010102
Level 3
In a box, there are some mangosteens and lemons. If 80 more lemons are put into the box, the percentage of mangosteens will decrease from 70% to 30%. How many mangosteens are there in the box?
3 m
Percent change to Percent to units Percent of different bases Unchanged quantity Units table
45 P6.PC.TL.16010101
Level 3
A store owner had 505 kg of fresh honeydews. The honeydews contained 60% water when fresh. One week later, there was only 50% water left in the honeydews. What was the mass of the honeydews one week later?
3 m
Percent change to Percent to units Percent of different bases Mass Unchanged quantity Units table
46 P5.FR.JM.17083021
Level 2
The figure shows some identical beads. How many unshaded beads must be removed so that 13 of the figure is unshaded?
2 m
Fraction of a set Fraction to units Unchanged quantity Units table
47 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
48 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
49 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
50 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
51 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
52 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
53 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
54 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
55 P5.RD.JM.17083247
Level 3
23 of Sean's savings comprised of 20-cent coins and 50-cent coins. Sean used some 20-cent coins to purchase a toy. The number of 50-cent coins left was 50% more than the number of 20-cent coins left. Given that Sean had 100 more 50-cent coins than 20-cent coins left in the end, find the amount of money Sean spent on the toy.
4 m
Fraction of a whole Fraction to units Percent of a set Percent to units Money More than or less than Unchanged quantity Units table
56 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
57 P5.RA.JM.17083159
Level 3
There were 182 red, blue and green marbles in a box. 26 green marbles were removed from the box and the ratio of the number of red marbles to the number of blue marbles to the number of green marbles became 4 : 3 : 5. Then some yellow marbles were added and the ratio of the number of green marbles to the number of yellow marbles was 13 : 9.
  1. What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
  2. How many marbles were in the box in the end?
4 m
Finding ratio Ratio to units Repeated identity Unchanged quantity Units table
58 P5.RA.JC.17083240
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
4 m
Ratio to units Equal stage after Unchanged quantity Units equations Units table
59 P6.FR.TL.16010101
Level 3
At a zoo, there were 35 as many adults as children at first. After 46 adults left, there were 116 more children than adults remaining at a zoo. How many adults were at the zoo at first?
3 m
Fraction to units More than or less than Unchanged quantity Units equations Model & units table
60 P5.ST.JC.18121164
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are added, 70% of the stickers will be red stickers.
If 200 blue stickers are added, 40% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations

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