Questions

From Worst to Best

41 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

42 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

43 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

44 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

45 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.