Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
3 m
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
3 m
Level 2
A container, which is 10 cm long, 9 cm wide and 7.55 cm deep, holds 1510 g of sugar. If 4.95 kg of the same sugar is packed into a tin with a 15-cm square base, how tall must the tin be?
3 m
Level 3
Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.
3 m
Level 3
One avocado cost 4 times as much as one honeydew. Mrs Zhang bought 2 avocados and 4 honeydews for $15. How much would 20 avocados and 16 honeydews cost? Express the answers to 2 decimal places.
3 m