Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
4 m
Level 3
Betty had an equal number of $2 and $10 notes. After spending 43 pieces of $10 and 19 pieces of $2 notes, the ratio of the $2 notes to $10 notes left was 5 : 1. Find the value of the notes left.
4 m
Level 3
Fiona had an equal number of $5 and $10 notes. After spending 40 pieces of $10 and 16 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 4 : 1. Find the value of the notes at first.
4 m
Level 3
Jane and Wendy had equal amount of money. Each day, Jane spent $4 and Wendy spent $5. When Jane had $60 left, Wendy had 45 as much money left as Jane. How much money did the two girls have at first?
4 m
Level 3 PSLE
Allie had a total of 225 pink and blue beads. She used 45 pink beads and 60% of the blue beads. After that, the ratio of the number of pink beads to blue beads Allie had was 1 : 2.
  1. What fraction of her blue beads did Allie use? Give your answer in the simplest form.
  2. How many beads did Allie have in the end?
4 m
Level 3
Mark had some pastries. 47 of them were shortbreads. The rest were scones. He sold 45 of the shortbreads and 11 scones. In the end, he had 198 pastries left. How many pastries did he sell?
3 m
Level 3 PSLE
A box contained blue and white beads. At first, the number of blue beads was 13 the number of white beads. After 14 of the blue beads and 58 of the white beads were used, 75 beads were left.
  1. What fraction of the beads were used? Leave your answer in the simplest form.
  2. How many beads were there in the box at first?
3 m
Level 3
Betty, Xuan and Ruth had a total of 1552 pens. Betty gave 13 of her pens away. Ruth gave away 5 times as many pens as Betty and Xuan gave away 267 pens. In the end, they had 523 pens left. How many pens did Xuan and Ruth have in total in the end?
4 m
Level 3
Vincent had some pastries. 27 of them were tarts. The rest were cookies. He sold 35 of the tarts and 14 cookies. In the end, he had 131 pastries left. How many more tarts than cookies did he sell?
3 m
Level 3
In October, the ratio of boys and girls in a school's rifle club was 4 : 7. In November, 68 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 64 boys in the club in October. How many of the new members were girls?
4 m
Level 3
In a pouch of notes, the number of $2, $5 and $10 are in ratio of 5 : 4 : 6. 15 of the $2-notes and 15 $5-notes are taken out. The remaining notes are worth $541. Find the difference between the value of $10-notes and $2-notes in the end.
4 m
Level 3
At first, Tina had 23 as many stickers as Esther. After Tina bought another 8 stickers and Esther lost 5 stickers, Tina had 45 as many stickers as Esther. Find the number of stickers Tina had at first.
3 m
Level 3 PSLE
Jade and Kylie went shopping together with a total amount of $93.90. Jade spent 2 times as much as Kylie. The amount Kylie had left was $11 more than what she had spent. She had 2 times as much money left as Jade.
  1. How much money did Kylie spend?
  2. How much money did Jade have at first?
4 m
Level 3 PSLE
There were 95 oranges and apples altogether. After 23 of the oranges and half of the apples were sold, there were a total of 40 oranges and apples left. What fraction of the fruits were oranges at first? Give the answer in its simplest form.
3 m
Level 3
A fruit seller had apples and durians. The ratio of apples to durians was 5 : 3. After 34 of the apples and 38 durians were sold, there were 2 times as many apples as durians left. How many apples and durians were there at first?
4 m
Level 3
Tank E contained 4 times as many guppies as Tank F. When 10% of the guppies in Tank E and 10% of the guppies in Tank F were transferred to Tank G, Tank G had 120 guppies, which was 20% more guppies than before. How many less guppies were there in Tank F than Tank E in the end?
4 m
Level 3
Cathy, Zoe and Ruth went shopping together. They brought a total of $1633 with them. Cathy spent 50% of her money. Zoe spent $224 and Ruth spent twice as much money as Cathy. In the end, they had $785 left. How much money did Zoe and Ruth have altogether in the end?
4 m
Level 3
Queenie baked 390 cookies and cupcakes. After she gave 0.3 of the cookies and 0.4 of the cupcakes to her friends, she was left with an equal number of cookies and cupcakes. How many cookies had she left?
4 m
Level 3
Sean and David had some allowance in the ratio of 3 : 7. They shared some money to buy a bracelet for their cousin. The ratio of the amount paid by Sean to the amount paid by David was 1 : 2. If David was left with $176 and Sean had spent 14 of his money, how much was the bracelet they bought?
4 m
Level 3
A store owner had coconuts and papayas. The ratio of coconuts to papayas was 5 : 2. After 12 of the coconuts and 18 papayas were sold, there were 2 times as many coconuts as papayas left. How many coconuts and papayas were there at first?
4 m