Level 3 PSLE
Three boys, Az, Ben and Ix had the same number of notes. Az and Ben each had of mix of $10-notes and $2-notes. Az had 7 $2-notes while Ben had 13 $2-notes. Ix had only $10-notes.
  1. Of the three boys, who had the most money?
  2. What was the difference in the total value of Az and Ben's notes?
  3. Ben used all his $10-notes to buy a present. He then had $164 less in notes than Ix. How many $10-notes did Ix have?
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
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
Level 3
Xuan, Penny, Kate and Violet went to buy a gift for their grandmother. They shared the cost equally among themselves. However, Violet forgot to bring her money. So, the other 3 girls paid for the gift first. Kate paid 35 of the amount Xuan and Penny paid. Penny paid $11 more than Xuan. The next day, Violet returned $76 to Kate and some money to Xuan and Penny. How much did Violet return to
  1. Xuan?
  2. Penny?
5 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
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded 56 of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.
  1. How many fruits were there on his vehicle after visiting Stall Y?
  2. How many avocados were delivered to Stall X?
5 m
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Level 3
Three girls gave an equal amount of money to buy a souvenir for Oscar. Diana used 13 of her money. Fiona used 34 of her money and Ruth used 12 of hers. They had a total of $190 at first. How much was the souvenir?
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
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13 of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12 pizzas left. How many pizzas did Mr Yap buy?
5 m
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Level 3
Eva, Sarah and Penny had 1188 marbles. Sarah won some of the marbles from Eva and as a result, Sarah's marbles increased by 20%. Penny then won some marbles from Sarah and Penny's marbles increased by 40%. Finally, Penny lost some of her marbles to Eva and Eva's marbles increased by 20%. In the end, they realised that they each had an equal number of marbles. How many percent less did Eva have in the end than what she had at first? Correct your answer to 1 decimal place.
5 m
Level 3
Nick and Ken have some yellow staplers and some pink staplers. The number of pink staplers Nick has is equal to the number of yellow staplers Ken has. 14 of Nick's staplers are yellow and 15 of Ken's staplers are pink. There are a total of 112 yellow staplers. Find the total number of staplers they have.
4 m
Level 3 PSLE
Peiyi and Jamal bought storybooks at the prices shown.
  1. Peiyi bought an equal number of large and small storybooks. She spent $175 more on the large ones. How many storybooks did she buy altogether?
  2. Jamal spent an equal amount of money on the large and small storybooks. What fraction of the storybooks he bought were large?
5 m
Level 3
Ruth, Queenie and Cathy were playing with beads. Ruth started with 72 beads and then she gained 13 more beads from Queenie. In the second game, Ruth lost 38 of her original number of beads to Cathy. Queenie lost as many beads as Ruth to Cathy. In the final game, Ruth gained 12 of her original number of beads from Queenie. All of them ended up with the same number of beads.
  1. How many beads did Ruth have in the end?
  2. How many beads did Queenie have at first?
5 m
Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave 34 of whatever she had then to Diana. Finally, Diana gave 27 of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?
5 m
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
5 m
Level 3
The total price of 6 grapefruits and 4 avocados is the same as that of 10 grapefruits and 3 avocados. Each grapefruit costs $3 less than each avocado. How much does each avocado cost?
3 m
Level 2
Violet had 6 times as many erasers as Jane at first. After Violet gave 40 erasers to Jane, they each had the same number of erasers in the end. How many erasers did Violet have at first?
3 m
Level 3
A jar contained $2 and $5 notes with a total value of $518. 4 pieces of $5 were exchanged for $2 notes of similar value. In the end, the number of $2 notes was the same as the $5 notes. How many $5 notes were there at first?
3 m