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
Level 3 PSLE
Table 1 consists of numbers from 1 to 72. Kenny and Lionel are given a plastic frame that covers exactly 9 squares of Table 1 with the centre square covered.
  1. Kenny puts the frame on the 9 squares shown in Figure 1. What is the average of the 8 numbers that can be seen in the frame?
  2. Lionel puts the frame on some other 9 squares. The sum of the 8 numbers that can be seen in the frame is 320. What is the smallest number that can be seen in the frame?
3 m
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
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
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
Level 3
Three types of pepper, W, X and Y come in containers of 150 g, 300 g and 400 g respectively. Containers of W, X and Y are mixed together in the ratio 1 : 6 : 7 to obtain 38 kg of an assortment of pepper.
  1. How many containers of W and X are used altogether?
  2. Find the difference between the combined weight of all the pepper in containers X and containers Y as compared to the pepper in containers W. Express the weight in kilograms.
4 m
Level 3 PSLE
Three girls used the same number of pearls to make necklaces. Dana used 25 of her pearls, Esther used 34 of hers and Fina used 23 of hers. They had a total of 1440 pearls at first. How many pearls did each girl use?
3 m
Level 2 PSLE
At first, Binbin had 75 dolls and some soft toys. After she gave away 25 dolls and 20% of the soft toys, she had a total of 74 dolls and soft toys. How many soft toys did Binbin have at first?
3 m
Level 3
Rael and Ethan had some coins in the ratio of 11 : 6. Ethan and Sean had some coins in the ratio of 2 : 1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?
4 m
Level 3 PSLE
Ian had a total of 810 long and short rulers. After selling an equal number of both types, he had 13 of the long rulers and 16 of the short ones left. What was the total number of rulers left?
3 m
Level 3
Rael, Henry and Will shared $117. During a shopping trip, Rael spent 16 of his share, Henry spent 15 of his share and Will spent 12 of his share. Given that all three boys each spent the same amount of money, how much more money do Rael and Henry have than Will in the end?
3 m
Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.
  1. What was the percentage increase in Fabian's marbles after receiving from Henry?
  2. How many marbles did Gilbert have at first?
4 m
Level 3
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave 310 to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?
4 m
Level 3
Tickets for a theme park were sold at $83 and $117. All the tickets were completely sold out. The amount collected for the $117 tickets was $80145. Given that the number of $117 tickets was 17 of the number of $83 tickets, how much more money was collected from the sales of the $83 ticket than the $117 ticket?
3 m
Level 3
Rachel had 2060 mℓ more orange juice than Yvonne. After Rachel gave Yvonne 550 mℓ of orange juice, the ratio of Rachel's orange juice to Yvonne's orange juice became 5 : 2. How much orange juice did Rachel have at first? Give your answer in millilitres.
4 m
Level 3 PSLE
Tickets for a zoo trip were sold to teachers and pupils at different prices as shown.
Price per ticket:
Teacher $20
Pupil $8
14 of the tickets sold were bought by teachers. The total amount of money collected from the sale of tickets to pupils was $416 more than the total amount collected from the sale of tickets to teachers. How much money was collected from the sale of tickets altogether?
3 m
Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than 12 of the total number of cartons. How many more cartons were unpainted than painted on the first day?
4 m
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
Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
4 m
Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva 37 of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.
4 m