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
Level 3
Tim's and Natalie's monthly allowances were the same at first. Tim's allowance increased by 50% while Natalie's increased by 20%. Given that Tim's allowance would increase by another 20% if he had received $300 more from his father, find the difference in the children's monthly allowances.
5 m
Level 3
Rachel had 3 times as much money as Paul. After Rachel spent 12 of her money and Paul spent 35 of his money, they had a total of $1615 left.
  1. How much money did Rachel and Paul have altogether at first?
  2. Paul spent 35 of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?
5 m
Level 3
Mrs Hwee bought 2 air-fryers, 1 toaster and 1 electric kettle for $729 during the Great Singapore Sale. Each air-fryer cost $20 more than the toaster. Each electric kettle cost half as much as an air-fryer. How much did the toaster cost?
3 m
Level 3
Kate had some fruits at her stall. 34 of them were mangosteens, 13 of the remainder were apples and the rest were coconuts. The amounts earned for each mangosteen, each Fuji apple and each coconut sold are $1.50, $3.00 and $4.50 respectively.

The number of mangosteens sold to the number of apples sold to the number of coconuts sold was 3 : 5 : 3. In total, she sold 14 of the fruits and earned $198. How many coconuts did she have at first?
5 m
Level 3
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
5 m
Level 3
60% of the sweets in Packet A were blueberry sweets and the rest were strawberry sweets. Packet B had 25% more blueberry sweets than packet A and twice as many sweets than the total number of sweets in Packet A. Find the percentage of the strawberry sweets in Packet B that would need to be transferred into Packet A, so that there were an equal number of blueberry and strawberry sweets in Packet A.
4 m
Level 3
There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?
5 m
Level 3
There are 25% more red crayons than blue crayons in a bag. After John removed 40% of the red crayons and increased the number of blue crayons by 10%, there are now 70 fewer red crayons than blue crayons. Find the number of blue crayons at first.
4 m
Level 3
A store had 390 story books. There were Chinese, Malay and English story books in the ratio of 4 : 3 : 6. When the store assistant brought in another 60 new story books, the number of Chinese story books was increased by 20% and the number of Malay story books was increased by 110.
  1. What was the number of English story books that the store assistant brought in?
  2. What was the percentage increase in the number of English story books?
5 m
Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.
5 m
Level 3
Sarah had 70% as many candies as Xuan. Sarah gave away 10% of her candies and Xuan bought another 99 candies. As a result, Sarah now has 30% as many candies as Xuan. Find the number of candies that Xuan had at first.
5 m
Level 3
Mrs Decruz baked 8 muffins more than cakes. Each muffin needed 0.06 kg of flour while each cake needed 0.5 kg of flour. She used a total of 1.6 kg of flour. How many muffins did Mrs Decruz bake?
4 m
Level 3
Muffins are sold in Delicious Bakery at the prices shown:
1 chocolate muffin $1.80
1 raisin muffin $1.20.
Mrs Wong bought 5 more raisin muffins than chocolate muffins from this bakery. She paid $12 in total. How many muffins did Mrs Wong buy altogether?
4 m
Level 3
Roe had 4 more 20-cent coins than 50-cent coins in his piggy bank. Given that he had $17.60 in total, how many 20-cent coins did Roe have?
4 m
Level 3
Tina and Sarah have some cupcakes each. If Tina gives Sarah 49 cupcakes, Tina will have 34 as many cupcakes as Sarah. If Tina gives Sarah 19 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Tina have at first?
4 m
Level 3
Selina bought 4 cream puffs more than egg tarts. Each cream puff cost $0.80 while each egg tart cost $1.40. Given that she spent $25.20 in total, how many egg tarts did Selina buy?
4 m
Level 3
Selina bought 4 cream puffs more than egg tarts. Each cream puff cost $0.80 while each egg tart cost $1.40. Given that she spent $26.80 less on the cream puffs than on the egg tarts, how many cream puffs did Selina buy?
4 m
Level 3
There were 6 more 20-cent coins than 50-cent coins in a bag. Given that the value of all the 50-cent coins were $11.40 more than the value of all the 20-cent coins, how many 20-cent coins were there in the bag?
4 m
Level 3
10 days ago, Ruth had a total of 250 green and violet stickers. 40% of her stickers were violet stickers. Today, her father gave her some more stickers. As a result, her green stickers increased by 30%. Now, 50% of her stickers are violet stickers. How many violet stickers did her father give her?
5 m