Questions

From Worst to Best

21 P6.SP.JC.17080914

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.

3 m

Attempt

22 P6.SP.JC.17053049

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.

3 m

Attempt

Rate more than 1 object Unit conversion Volume Volume of cuboid Filling tank D Place values D Round off Percent of a whole

23 P6.VO.NK.17080920

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.

3 m

Attempt

Base area x height Volume transfer D Place values D Round off Percent of a whole Percent to units

24 P6.AP.TL.17090758

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.

2 m

Attempt

Triangle Circle Composite figure area Overlapping area D Place values D Round off

25 P6.VO.NK.17053031

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.)