ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Construct an equilateral triangle ABC such that it's one side = 5.5 cm. Construct a circumcircle to this triangle.

Construct a ∆ ABC such that AB = 6 cm, BC = 5.6 cm and CA = 6.5 cm. Inscribe a circle to this triangle and measure its radius.

Construct an isosceles ∆ MNP such that base MN = 5.8 cm, base angle MNP = 30°. Construct an incircle to this triangle and measure its radius.

Construct an equilateral ∆ DEF whose one side is 5.5 cm. Construct an incircle to this triangle.

Construct a ∆ PQR such that PQ = 6 cm, ∠QPR = 45° and angle PQR = 60°. Locate its incentre and then draw its incircle.

Find the area of a rectangle whose length and breadth are 25 m and 16 cm.

The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.

The sides of a rectangular park are in the ratio 4 : 3. If its area is 1728 m², find
(i) its perimeter
(ii) cost of fencing it at the rate of ₹40 per meter.

A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.

The length and breadth of a rectangular piece of land are in the ratio 5 : 3. If the total cost of fencing it at the rate of ₹24 per meter is ₹9600, find its :
(i) length and breadth
(ii) area
(iii) cost of levelling at the rate of ₹60 per m².

Subtract: 4x from 8 - x

Subtract: - 8c from c + 3d

Subtract: - 5a - 2b from b + 6c

Subtract: 4p + p² from 3p² - 8p 

Subtract: 5a - 3b + 2c from 4a - b - 2c

Subtract: −xy + yz − zx from xy − yz + xz

Subtract: 2x² - 7xy - y² from 3x² - 5xy + 3y² 

Subtract: a² - 3ab - 6b² from 2b² - a² + 2ab

Subtract: 4x² - 5x²y + y² from - 3y² + 5xy² - 7x² - 9x²y 

Subtract: 6m³ + 4m² + 7m - 3 from 3m³ + 4