Level 3
An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
Level 3
A tank with a square base area of 121 cm2 is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm3 of water would overflow. If 3 pails of water are poured into the tank, 128 cm3 of water would overflow. What is the height of the tank ? Give the answer to one decimal place.
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva 37 of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
Find the volume of the solid.
This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
Find the volume of the solid.
This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
