Level 3
Ali has $5.60. He wants to exchange his money for an equal number of 20-cent coins and 50-cent coins. How many 50-cent coins does he have after the exchange?
Level 3 3 pupils shared the cost of a present equally. When calculating the amount each pupil had to pay, a mistake was made. The cost of the present was divided by 4 instead of 3. Each pupil ended up paying $3.90 less than the correct amount. What should be the correct amount for each share?
Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.
Level 3 PSLE
Nick had doughnuts and Ethan had scones. Both gave half of what they had to each other. Nick sold 8 doughnuts and Ethan sold 42 scones. In the end, the ratios of doughnuts to scones for Nick and Ethan were 1 : 5 and 1 : 3 respectively. How many doughnuts did Nick have at first?
Level 3
Andy, Benjamin and Caleb had a total of 698 cards at first. After a week, the number of Andy's cards became 3 times the number of cards he had at first. The number of Benjamin's cards decreased by 138. Caleb had half as many cards as he had at first. In the end, the three boys had the same number of cards.
How many cards did Caleb have at first?
What was the total number of cards that the three boys had in the end?
Level 3
A convenience store sold crabstick, salmon and egg mayo sandwiches. The ratio of the number of crabstick sandwiches made to the total number of sandwiches made was 3 : 7. The ratio of the number of salmon sandwiches made to the total number of sandwiches made was 1 : 5. After the store sold some crabstick sandwiches and made another 42 salmon sandwiches, there was an equal number of crabstick, salmon and egg mayo sandwiches left. Find the number of crabstick sandwiches sold.
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.
Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?
Level 2
There was 11 ? of water in a pail and 1.8 ? of water in a basin. Warren then poured in an equal volume of water into each container. Now, the volume of water in the pail is 5 times in the basin. How much water did Warren pour into each container?
Level 3
At the beginning of the year, the number of members in Club A and Club B were in the ratio 5 : 7. At the end of Term One, some members left Club A to join Club B. The ratio of the number of members in Club A and Club B became 1 : 3. At the middle of Term Two, each club received 54 new members. The ratio of the number of members in Club A and Club B became 2: 3. How many members left Club A to join Club B at the end of Term One?
Level 3
During Christmas, Vincent's candle and Ethan's candle were placed on an altar. Vincent's candle was 3 cm longer than Ethan's candle. Vincent's candle and Ethan's candle were lit at 5:30 p.m. and 9:00 p.m. respectively. They burnt down to the same height at 10:30pm. At 1:30 a.m., Ethan's candle was burnt out while Vincent's candle was burnt out at 3:30 a.m. Find the original heights of Vincent's candle and Ethan's candle.
Level 3 25 of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,
what was the number of red crayons?
what was the total number of crayons in the bag at first?
Level 3 12 of the pupils in a school were girls and the rest were boys. 25 of the girls and 23 of the boys took part in a school event. 364 pupils did not take part. How many more girls were needed to take part in the school event so that it would be equal to the same number of boys who took part in the event?
Level 3
The prices of two fruits sold at a supermarket is shown.
Grapes: 2 kg for $12
Bananas: 3 kg for $10
Mr Lin bought an equal mass of grapes and bananas and spent $64 more on grapes than on bananas. What was the total mass of fruits that Mr Lin bought?
Mrs Shay spent an equal amount of money on grapes and bananas. In terms of their masses, what was the ratio of grapes to the ratio of bananas Mrs Shay bought?
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.
Of the three boys, who had the most money?
What was the difference in the total value of Az and Ben's notes?
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?
Level 3
Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 384 cm2 each. What is the perimeter of Figure B?
Level 3
Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 384 cm2 each. What is the perimeter of Figure B?
Level 3
A confectionery sells chocolate chip cakes and blueberry cakes.
Raeann bought an equal number of chocolate chip cakes and blueberry cakes. She paid $80.80 more for the blueberry cakes and the chocolate chip cakes.
How many cakes did she buy?
How much did she spend altogether?
Level 3
A confectionery sells chocolate chip cakes and blueberry cakes.
Raeann bought an equal number of chocolate chip cakes and blueberry cakes. She paid $80.80 more for the blueberry cakes and the chocolate chip cakes.
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?
Level 3
Justin and Wesley each had the same volume of water. The water was used to pour into identical bottles. Justin filled up 16 bottles and had 4.8 ℓ of water left. Wesley filled up 8 bottles and had 6.4 ℓ of water left.
What was the capacity of each bottle? Give your answer in millilitres.
What was the total volume of water Justin and Wesley had at first? Give your answer in litres.
Level 3
Ron and Shawn had 60 sweets each. Ron gave 20% of his sweets to Shawn. After receiving the sweets from Ron, Shawn gave 50% of his total sweets to Tammy. How many sweets had Shawn left?
