Level 3
Mr Lim had three bags of soil, A, B and C and the mass of each bag of soil was in the ratio 2 : 4 : 3. Mr Lim decided to transfer 30% of soil from Bag A into Bag B and 60% of soil from Bag C into Bag B. Given that the mass of Bag B was 38.4 kg in the end, how many kilograms of soil were transferred into Bag B?
5 m
Level 3
A pen cost $1.50. A notebook cost $15.50 more than the pen. Clare spent $340 on such pens and notebooks. She bought twice as many pens as notebooks.
  1. How many notebooks did Clare buy?
  2. How much money did Clare spend on the pens?
4 m
Level 3
Three cartons, W, X and Y contained a certain number of pens. Carton Y contained 27 as many pens as W and X combined. There were 98 more pens in Carton W than in Carton Y. Carton X contained 127 more pens than Carton Y. How many pens were in Carton X?
4 m
Level 3
Hazel had $18.60 in coins. She had four times as many 10-cent as 50-cent coins and 11 more $1 coins than 50-cent coins. How many coins does she have in total?
4 m
Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.
4 m
Level 3
  1. Sophie bought a doll and a toy plane during the Toy Bonanza. The usual price of the doll and the toy plane was $12 and $18 respectively. How much did she pay for the 2 items?
  2. Nicholas bought 2 identical soft toys. The total discount for the 2 soft toys was $10.50. What was the price of each soft toy before discount?
4 m
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?
4 m
Level 3
Belinda made a profit of 50% from the sale of a dress and a profit of 80% from the sale of a shirt. The total profit she made from the two items was $91. She later sold a similar dress at a discount of 20% off the advertised price. Her total profit for the three items then increased to $121.
  1. Find the profit made on the shirt.
  2. How much did she sell the shirt for?
4 m
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.
5 m
TRY FOR FREE
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?
4 m