Level 3 A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
Level 3
Class 5 Goodness and 5 Love had the same number of students. The ratio of the number of girls in 5 Goodness to the number of girls in 5 Love was 1 : 13. The ratio of the number of boys in 5 Goodness to the number of boys in 5 Love was 7 : 1.
What is the ratio of the number of boys to the number of girls in Class 5 Goodness?
If there were 33 fewer boys than girls in Class 5 Love, how many students were there each class?
Level 3
Sam and Bryan are asked to give out the same number of leaflets. Sam can give out the leaflets in 9 hours while Bryan can give out the leaflets in 6 hours. Both workers started giving out the leaflets at the same time for 5 hours. After 5 hours, Sam gave out 180 leaflets. How many leaflets can Bryan give out in 5 hours?
Level 3
Ron and Benny take 4 days to assemble a toy plane. Benny and Jerry take 6 days to build the same toy plane while Ron and Jerry take only 3 days. How many complete days would the three of them take to build the same toy plane?
Level 3
Mr Gopi uses two pipes to fill a pool. The first pipe can fill the pool in 6 h. The second pipe can fill the pool in 8 h. Two house after both pipes are turned on, Mr Thomas accidentally opens the pipe which can drain the pool completely in 12 h. With the 3rd pipe now remained open, what is the total time taken by Mr Gopi to fill the pool completely? Express your answer in h.
Level 3
At 10 a.m., Mrs Leng used two taps to fill up a tank. Tap A could fill the tank in 4 h. Tap B could fill the tank in 3 h. 1 hour after both taps were turned on, Tap B was faulty and stopped working. Mrs Leng accidentally opened Tap C which could drain a full tank completely in 2 h. Instead of being filled, the tank was emptied. How long did it take for the tank to be completely empty? Express your answer in mixed number.
Level 3
Daniel had to solve some Science questions during a 3-week school holidays. At the end of the first week, the ratio of the number of questions solved to the number of questions unsolved was 3 : 7. At the end of the second week, Daniel solved another 36 questions and the number of unsolved questions became 14 of the total number of questions. How many questions did Daniel need to solve on the third week to complete his assignment?
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
Level 2
After using 17 of her sugar, Mrs Lim bought another 75 kg of sugar. As a result, Mrs Lim now has 97 as much sugar as what she had at first. How many kilograms of sugar did Mrs Lim have at first?
Level 3
A rectangular container measuring 55 cm by 50 cm by 23 cm was 110 filled with water. Mary turned on a tap at 9.36 p.m. to fill more water into the container. She turned off the tap at 9.59 p.m. The container was 910 filled with water. Given that the water flowed out of the tap at the same rate, find the volume of water that flowed out of the tap in a minute. Give your answer in litres.
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
What is the base area of the tank?
After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
What is the base area of the tank?
After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
Level 1
There are 40 pupils in a class. The pupils are divided into groups consisting of 3 boys and 5 girls in each group. How many boys are there in the class?
Level 3
Benny and Nigel both received an allowance from their father. Benny initially received 30% of the money. He then gave Nigel $5, and was left with 13 as much money as Nigel. What was the total amount of money given to the two boys?
Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
How much water was there in Container B at first?
How long did it take for the water from the tap to fill Container B to the brim?
What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
How much water was there in Container B at first?
How long did it take for the water from the tap to fill Container B to the brim?
What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
