Level 3
Reena bought some fruits. She spent $10 more than 23 of her money on some pears. She then spent $8 more than 20% of the remaining money on some pineapples. Given that she had $16 left,
how much did Reena have at first?
how many kilograms of pineapples did she buy if they cost $2 per kg?
Level 3
Wilfred saves 10% of his allowance. When his allowance was increased by 20%, his savings rose proportionately to $180. What was his original allowance?
Level 3
Wilfred saves 10% of his allowance. When his allowance was decreased by 20%, his savings decreased proportionately to $80. What was his original allowance?
Level 3
Luke bought a refrigerator and a laptop. The original price of the refrigerator was $3200 and the original price of the laptop was half the original price of the refrigerator. Luke was given a 25% discount on the laptop. How much did Luke pay altogether?
Level 3
A cylindrical dispenser of capacity 5.7 ℓ was filled with apple juice to its brim. The milk in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 200 mℓ/min. After 15 min, the tap was turned off and the container was 23 full.
What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
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?
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
Level 3
Leonard had $80 more than his sister. After Leonard spent 25% of his money and his sister spent 75% of her money, they still had $420 left altogether.
How much did Leonard have left in the end?
Express the amount of money his sister had left as a fraction of the amount of money Leonard had in the end. (Give your answer in the simplest form)
