Questions

From Worst to Best

296 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

297 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.

What is the length of Tank A?
How many m³ of water are there in Tank B?

3 m

Attempt

Volume of cuboid Height of cuboid Volume transfer Fraction of a whole

298 P4.FR.JC.17100344

Level 2
Suresh had 1 m of string. He cut 3 pieces of string, each measuring 20 cm and gave them to his sister. What fraction of the string was left?

3 m

Attempt

Fraction of a whole Length Unit conversion

299 P5.VO.NK.23012637

Level 3
A cuboid has a volume of 300 cm³. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.

3 m

Attempt

Volume of cuboid Base area x height Area Perimeter Ratio to units Units method

300 P2.DA.JM.17121909

Level 3
Study the diagram. Answer the following.