Questions

From Best to Worst

41 P6.SP.JC.17080917

Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up ³₄ of the tank. What is the height of the tank? Correct the answer to 1 decimal place.

3 m

Attempt

Rate 1 object Volume Volume of cube Filling tank Fraction of a whole D Place values D Round off

42 P6.SP.JC.17053161

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

Attempt

Rate 1 object Unit conversion Volume Volume of cuboid Filling tank Fraction of a whole

43 P6.AP.TL.17090748

Level 2
The figure shows two identical semicircles. X and Y are the centres of the semicircles. Line AB is 60 cm. ¹₅ of each semicircle is shaded. Find the total area of the shaded parts. (Take π = 3.14)

2 m

Attempt

Circle area Semicircle Composite figure area Fraction of a whole

44 P6.SP.TL.18012221

Level 3
Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?

3 m

Video Attempt

Rate more than 1 object Volume Fraction of a whole Double if Units table Units & parts Elimination

45 P6.AG.JC.17080455

Level 3
Angela had $112w left after she spent ⁵₇ of her money on a wallet. Then she spent the remaining money on shirts at $16w each.

How much money did Angela spend on the wallet?
How many shirts did she buy?

3 m

Attempt

Algebra in 1 variable Algebra simplifying Fraction of a whole Money

46 P6.VO.NK.17053159

Level 3
The figure is not drawn to scale. Tank A measuring 40 cm by 30 cm by 20 cm is filled to the brim. When ³₅ of water was transferred from Tank A to Tank B, 1.8 litres of water overflowed. Tank B has a base area of 300 cm². Find the height of Tank B.

3 m

Attempt

Volume of cuboid Height of cuboid Filling tank Displacement Fraction of a whole Unit conversion

47 P6.FR.JC.22031802

Level 2 PSLE
Mrs Lee had a bottle of oil. She used an equal amount of oil each day. At the end of the 5th day, she had 990 mℓ of oil left. At the end of the 7th day, she had half the bottle of oil left. How many litres of oil were there in the bottle at first?

2 m

Attempt

Fraction of a whole F Division Volume Unit conversion MRDL Units method

48 P6.VO.NK.17053172

Level 3
The figure is not drawn to scale. The tank was ²₃ filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.

3 m

Attempt

Volume of cuboid Height of cuboid Displacement Fraction of a whole

49 P6.VO.NK.17053180

Level 2 PSLE
Two rectangular tanks are shown. Tank Y contained water to half its height. All the water from Tank Y was poured into Tank Z without spilling. What was the height of the water level in Tank Z?

3 m

Video Attempt

Volume transfer Fraction of a whole

50 P6.VO.NK.17053171

Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release ¹₄ of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.