Geometry & Mensuration — Practice

Question 1

A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?

Accepted Answer

A

Question 2

A rhombus has diagonals of length 10 cm and 24 cm. What is its area?

Accepted Answer

B

Question 3

A sector of a circle with radius 21 cm has a central angle of 60°. What is the area of the sector? (use π ≈ 22/7)

Accepted Answer

A

Question 4

Find the volume of a cone with radius 7 cm and height 24 cm. (use π ≈ 22/7)

Accepted Answer

A

Question 5

The sides of a triangle are 13 cm, 14 cm and 15 cm. Using Heron's formula, find its area.

Accepted Answer

A

Question 6

A cylindrical tank of radius 6 m and height 14 m is full of water. The water is emptied into a number of identical conical vessels, each with radius 3 m and height 7 m. How many conical vessels are needed to empty the tank completely?

Accepted Answer

A

Question 7

Triangle PQR is similar to triangle STU, with PQ corresponding to ST. If PQ = 8 cm, ST = 12 cm, and the perimeter of triangle PQR is 28 cm, what is the perimeter of triangle STU?

Accepted Answer

A

Question 8

Two circles of radii 8 cm and 3 cm touch each other externally. What is the distance between their centres?

Accepted Answer

B

Practice — Geometry & Mensuration

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