Level 3
Titus bought some custard and apple pastry puffs in the ratio of 7 : 6. After Titus's classmates ate an equal number of the two types of pastry puffs, there were 35% fewer apple than custard pastry puffs. In the end, there were 165 pastry puffs left. How many pastry puffs of each type were eaten?
4 m
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
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are removed, 40% of the stickers will be red stickers.
If 200 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are added, 40% of the stickers will be red stickers.
If 50 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If Adam receives another 60 blue stickers,
the blue stickers will be 80% as many as the red stickers.
If Adam receives another 300 red stickers,
the blue stickers will be 20% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If Adam gives away 50 blue stickers,
the blue stickers will be 10% as many as the red stickers.
If Adam gives away 250 red stickers,
the blue stickers will be 40% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If Adam receives another 50 blue stickers,
the blue stickers will be 50% as many as the red stickers.
If Adam gives away 50 red stickers,
the blue stickers will be 40% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
50% of Amin's money was $350 less than Dave's money. When Amin spent 45% of her money and Dave spent 60% of his money, they had the same amount of money left. Find the amount of money Dave had at first.
4 m
Level 3
If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 3 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
  1. How many stickers does Adam have?
  2. How many stickers does Bryan have?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 500 blue stickers are added, 30% of the stickers will be red stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 300 blue stickers are removed, 25% of the stickers will be blue stickers.
If 200 red stickers are removed, 20% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are removed, 75% of the stickers will be blue stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The number of red stickers is 13 that of yellow stickers.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m
Level 3
In a school, there is a total of 400 people.
30% are adults.
The rest are children.
The number of boys and girls is in the ratio of 2 : 5.
  1. What percentage of the people are boys?
  2. How many girls are there?
3 m
Level 3
In a school, there is a total of 400 people.
30% are adults.
The rest are children.
The number of boys and girls is in the ratio of 5 : 9.
  1. What percentage of the people are boys?
  2. How many girls are there?
3 m
Level 3
Adam has some money.
Adam spends $300 on some stickers and
80% of the remainder on some marbles.
In the end, he has 18 of the total amount left.
  1. How much does Adam have at first?
  2. How much more does Adam spend on marbles than on stickers?
3 m
Level 3
Evelyn bought 50% more hair clips than Linda. Tammy bought 10% fewer hair clips than Evelyn. Evelyn and Linda gave Tammy some hair clips in the ratio 7 : 2. As a result, Tammy had twice as much hair clips as before. Given that Linda had 15 more hair clips than Evelyn in the end, how much hair clips did Evelyn give to Tammy?
5 m
Level 3
Mr Lim had three bags of soil, A, B and C and the mass of each bag of soil was in the ratio 2 : 4 : 3. Mr Lim decided to transfer 30% of soil from Bag A into Bag B and 60% of soil from Bag C into Bag B. Given that the mass of Bag B was 38.4 kg in the end, how many kilograms of soil were transferred into Bag B?
5 m
Level 3
Madam Naz made pies for sale. 45% of the pies were chicken pies and the rest were potato and sardine pies in the ratio 3 : 1. If a customer bought 75% of the chicken pies and all of the sardine pies, what percentage of the potato pies must Madam Naz sell for her to maintain the original percentage of chicken pies at first? Leave your answer in mixed numbers.
5 m