Secondary School (English Medium) (5 to 8) Class 7 - CBSE Question Bank Solutions for Mathematics

ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.

A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Which of the following can be the sides of a right triangle?

2.5 cm, 6.5 cm, 6 cm

In the case of right-angled triangles, identify the right angles.

Which of the following can be the sides of a right triangle?

2 cm, 2 cm, 5 cm

In the case of right-angled triangles, identify the right angles.

Which of the following can be the sides of a right triangle?

1.5 cm, 2 cm, 2.5 cm

In the case of right-angled triangles, identify the right angles.

Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

I buy a T.V. for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?

Juhi sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she bought it?

Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?

Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle.

∆ABC is right-angled at C. If AC = 5 cm and BC = 12 cm. find the length of AB.

Find the area of a circle of radius 30 cm (use π = 3.14).

Diameter of a circular garden is 9.8 m. Find its area.

The following figure shows two circles with the same center. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm.

Find:
(a) the area of the larger circle
(b) the area of the smaller circle
(c) the shaded area between the two circles. (π = 3.14)

(–23) × (42) = (–42) × _____.

(–237) × 0 is same as 0 × (–39).

Multiplication is not commutative for integers.

a × b = b × a