Level 3
The average mass of a group of girls was 37 kg. When Jamie, a girl, joined the group, the average mass of the group became 34 kg. If Jamie had a mass of 22 kg, how many girls were there in the group in the end?
3 m
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are removed, 75% of the stickers will be blue stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
Rael's age is 25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
3 m
Level 3 PSLE
Mrs Curry bought a bag and a pair of shoes at a discount. She spent a total of $57.60 on these two items. She spent $9.60 more on the shoes than on the bag.
  1. How much did she spend on the shoes?
  2. The total discount given for the two items was $22.40. She was given a 25% discount for the bag. What was the percentage discount given for the shoes?
4 m
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
4 m
Level 3
The average height of some boys is 145 cm. When 3 girls, with a total height of 393 cm, are included, the average height if the children becomes 142 cm. How many children are there altogether?
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
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The number of red stickers is 13 that of yellow stickers.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m
Level 3 PSLE
Lynn wanted to buy a dress. She saw a red dress on sale at 10% discount and a blue dress at 20% discount. Both dresses had the same original price before the discounts. To buy the red dress, Lynn would need $3.50 more that what she had. So Lynn bought the blue dress. After that, she had $1 left.
  1. What was the original price of the red dress?
  2. How much money did Lynn have at first?
4 m
Level 3
Simon has some black and red balls. The total mass of all his balls is 242 g. He has 5 more red balls than black balls. The average mass of the black balls is 6 g. The average mass of the red balls is 10 g. How many balls does Simon have altogether?
3 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
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The rest are red and yellow stickers in the ratio 2 : 3.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m
Level 3
Shiyun, Kimberly and Yoko had jelly beans in the ratio of 8 : 4 : 3. After Shiyun gave 6 jelly beans to Kimberly and Yoko, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
4 m
Level 3
Kylie bought some Geography books at $17 each. She also bought an equal number of History books at a different price. The average price of one Geography and one History book was $10. Kylie paid $70 more for the Geography books than the History books.
  1. What was the cost of one History book?
  2. How many Geography books did Kylie buy?
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
The ratio of the number of ducks in Farm A to the number of ducks in Farm B was 5 : 9. There were 48 fewer ducks in Farm A than in Farm B. When 5 ducks escaped from Farm B, the farmer in Farm B bought another 9 ducks. What was the new ratio of the number of ducks in Farm A to the number of ducks in Farm B in the end? Give your answer in the simplest form.
4 m
Level 3
Adam has stickers in 4 colours.
57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
3 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
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
The ratio of the number of papayas to the number of peaches that a fruit seller had was 5 : 11. After he sold half of the peaches, there were a total of 252 papayas and peaches left at the fruit stall.
  1. How many papayas were there at the stall?
  2. If he sold the remaining peaches in bags of 6 at $3.50 per bag, how much would he receive for them?
4 m