ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Find the perimeter of a square; whose area is: 1.69 m²

The diagonal of a square is 12 cm long; find its area and length of one side.

The diagonal of a square is 15 m; find the length of its one side and perimeter.

If a > c; show that abc – cba = 99(a – c).

If c > a; show that cba – abc = 99(c – a).

If a = c, show that cba – abc = 0.

Show that 954 – 459 is exactly divisible by 99.

The area of a square is 169 cm². Find its:
(i) one side
(ii) perimeter

The perimeter of a square is numerically equal to its area. Find its area.

A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.

The perimeter of a square is 36 cm; find its area

The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall,

(i) without leaving any margin.
(ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile

A wire, when bent in the form of a square encloses an area of 484 cm². Find :
(i) one side of the square ;
(ii) length of the wire ;
(iii) the largest area enclosed; if the same wire is bent to form a circle.

Solve and graph the solution set on a number line: x - 5 < -2; x ∈ N.

Solve and graph the solution set on a number line: 3x – 1 > 5 ; x ∈ W

Solve and graph the solution set on a number line: -3x + 12 < -15 ; x ∈ R.

Solve and graph the solution set on a number line: 7 > 3x – 8 ; x ∈ W

Solve and graph the solution set on a number line: 8x – 8 ≤ – 24 ; x ∈ Z

Solve and graph the solution set on a number line: 8x – 9 > 35 – 3x ; x ∈ N

Solve and graph the solution set on a number line: 5x + 4 > 8x – 11 ; x ∈ Z