ICSE ICSE Class 7 - CISCE Question Bank Solutions

A metal wire, when bent in the form of a square of largest area, encloses an area of 484 cm². Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.

A wire is along the boundary of a circle with a radius of 28 cm. If the same wire is bent in the form of a square, find the area of the square formed.

The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.

From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion.

Find the mean and the mode for the following data:

Find the mode of 5, 6, 9, 13, 6, 5, 6, 7, 6, 6, 3

Find the mode of 7, 7, 8, 10, 10, 11, 10, 13, 14

Find the mode of:

Find the mode of:

Find the mean, the median, and the mode of 12, 24, 24, 12, 30 and 12.

Find the mean, the median, and the mode of 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15.

Verify:  37 x {8 +(-3)} = 37 x 8 + 37 x – (3)

Verify:  (-82) x {(-4) + 19} = (-82) x (-4) + (-82) x 19

Verify: 

{7 − (−7)} × 7 = 7 × 7 − (−7) × 7

Verify:  {(-15) – 8} x -6 = (-15) x (-6) – 8 x (-6)

Eighteen integers are multiplied together. What will be the sign of their product, if:

15 of them are negative and 3 are positive?

Eighteen integers are multiplied together. What will be the sign of their product, if:

12 of them are negative and 6 are positive?

Eighteen integers are multiplied together. What will be the sign of their product, if:

9 of them are positive and the remaining are negative?

Eighteen integers are multiplied together. What will be the sign of their product, if:

all are negative?

Find which is greater?

(8 + 10) × 15 or 8 + 10 × 15