Level 3
An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 10 cm respectively, rest on the base of the tank.
Find the capacity of the tank.
How much water must be poured into the tank so that the tank is half filled?
Level 3
An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 10 cm respectively, rest on the base of the tank.
Find the capacity of the tank.
How much water must be poured into the tank so that the tank is half filled?
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
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
Level 3
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
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 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.
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
Level 3
A rectangular tank measuring 50 cm by 36 cm by 27 cm was 34 filled with water. The water was used to fill up some bottles of capacity 2 ℓ each. How many bottles were filled completely?
Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
Level 3
Sally had a piece of wire 8 m long. She cut 8 pieces each measuring 12 m long from the original piece. The remainder was used to form a square. Find the area of the square.
Level 3
A container measuring 25 cm by 16 cm by 48 cm was 13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
How much water did James pour into container? Give your answer in mℓ.
James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
Level 3
A container measuring 25 cm by 16 cm by 48 cm was 13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
How much water did James pour into container? Give your answer in mℓ.
James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
Level 3
Allan and Maine were in a roller skating race. Allan was travelling at a constant speed of 20 km/h and they both did not change their speed. When Maine completed half of her race, Allan was 3.5 km ahead. Allan completed the race at 10.45 a.m. What time did Maine complete the race?
Level 3
Jelly has some cookies. She gives 512 of the cookies to her roommate and eats 612 of the cookies. What fraction of the cookies does she have left?
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
Level 3
Madam Lee bought a sack of rice on Monday and cooked 112 kg of rice everyday. By Sunday, she was 12 kg short of rice. On which day did she cook 35 of the rice in the sack?
