Level 3 A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
Given that the height of the tank is 45 cm, find the volume of water in the tank.
All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
Level 3
Evelyn bought 50% more hair clips than Linda. Tammy bought 10% fewer hair clips than Evelyn. Evelyn and Linda gave Tammy some hair clips in the ratio 7 : 2. As a result, Tammy had twice as much hair clips as before. Given that Linda had 15 more hair clips than Evelyn in the end, how much hair clips did Evelyn give to Tammy?
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.
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?
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
The average rainfall for the months of January to May was 155 mm. Each month from January to May, the rainfall was 1 mm more than the month before it. What was the rainfall in January?
Level 3
Albert had $2.20 less than Caden. After Albert gave $2.50 to Caden, Caden would have thrice as much money as Albert. How much money had Caden at first?
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)
Level 3
Benita's salary is 20% less than Amanda's salary and 40% less than Cecilia's salary. If Amanda's salary is $500 less than that of Cecilia's salary,
Find Benita's salary.
Given that Benita received a 20% pay cut, find Benita's new salary.
Level 3
Lina, Ron, Evelyn and Henry share the same hobby of collecting stamps. The average number of stamps collected by the 4 friends is 25. Ron collected 8 more stamps than Evelyn but 15 fewer stamps than Lina. Henry collected 3 stamps fewer than Evelyn. Find the average number of stamps collected by Ron, Evelyn and Henry. Round off the answer to the nearest whole number.
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
A box of erasers were distributed equally to 54 pupils. 9 of them gave all their erasers away to the remaining pupils. These remaining pupils received 2 more erasers each. How many erasers were distributed to each pupil at first?
Level 3
Xinyi had some 20-cent and 50-cent coins which added up to $20.30. She had 14 more 20-cent coins than 50-cent coins. How many 20-cent coins did she have?
Level 3
40 children in a class sold an average of 19 artworks for charity. There were 8 more boys than girls in the class. The average number of artworks sold by the boys was 15. Find the average number of artworks sold by the girls.
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
Olivia bought 3 home theater systems and 6 toasters. Each home theater system costs $280 more than each toaster. She spent 20% of her money on the toasters.
Level 3
Charlie bought $642 worth of staplers and pens. He bought thrice as many pens as staplers. He spent $334 more on pens than on staplers. Each stapler cost $1.60 more than each pen. Find the price of a stapler.
