Level 3 PSLE
The table shows the prices of tickets for a soccer match.
The number of adult tickets sold was 5 times the number of child tickets sold. 58 of the adult tickets sold were for adults aged below 60 years. A total of $7020 was collected from the sale of tickets.
  1. What fraction of the tickets sold were for adults aged 60 years and above? Give your answer in the simplest form.
  2. What was the total number of tickets sold to adults?
4 m
Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?
5 m
Level 3
At a wedding, 49 of the guests were men and the rest were women. Some men then left the wedding and the remaining number of men were 25 of the guests. 44 men then joined the wedding. The number of guests in the end was 12 more than the number of guests at first. How many guests were there at first?
4 m
Level 3
In a factory, Machine A was turned on first and it produced 313 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 45 less than 12 of the total number of wontons produced. How many wontons were produced altogether?
5 m
Level 3
Tim had 672 coins. 27 were pink and the rest were yellow and blue. The ratio of the number of yellow coins to the number of blue coins was 1 : 3. Tim decided to buy some more pink coins to increase the number of pink coins to half of the total number of coins.
  1. How many less yellow coins than pink coins did he have at first?
  2. How many more pink coins did he have to buy?
5 m
Level 3
In a shop, the number of cartons of mangosteen juice sold was 15 the number of cartons left. When 42 more cartons were sold, the total number of cartons sold was 28 less than 813 the number of cartons the shop had at first. How many cartons were there at first?
4 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
Olivia, Zoe, Betty and Natalie received a sum of money. Olivia received 38 of the total amount of money Zoe, Betty and Natalie received. Zoe received 17 of the total amount of money Betty and Natalie received. Betty received 13 as much money as Natalie. If Olivia received $275 more than Betty, find the total sum of money the 4 girls received.
4 m
Level 3
Mrs Yap had 40% more books than Mdm Zhang. Miss Lin had 20% fewer books than Mrs Yap. Mrs Yap and Mdm Zhang gave Miss Lin some books in the ratio of 1 : 4. As a result, Miss Lin had 50% more books than before. Given that Miss Lin had 423 more books than Mdm Zhang in the end, how many books did Mrs Yap give to Miss Lin?
5 m
Level 3
Olivia, Natalie and Kate have 264 marbles. Natalie has 79 as many marbles as Olivia. Kate's marbles is 12 of the total number of Olivia's and Natalie's marbles. How many marbles must Natalie give to Kate so that both Olivia and Kate will have the same number of marbles?
4 m