ICSE ICSE Class 7 - CISCE Question Bank Solutions

Construct an isosceles Δ ABC such that:

Base AB = 6.2 cm and base angle = 45°. Measure the other two sides of the triangle.

Evaluate: `2^5 xx 15^0 + (-3)^3 - (2/7)^-2`

Construct an isosceles Δ ABC such that:

Base AC = 5 cm and base angle = 75°. Measure the other two sides of the triangle.

Construct an isosceles ∆ ABC such that:

AB = AC = 6.5 cm and ∠A = 60°

Construct an isosceles ∆ ABC such that:

One of the equal sides = 6 cm and vertex angle = 45°. Measure the base angles.

Construct an isosceles ∆ ABC such that:

BC = AB = 5.8 cm and ZB = 30°. Measure ∠A and ∠C.

Construct an equilateral Δ ABC such that:

AB = 5 cm. Draw the perpendicular bisectors of BC and AC. Let P be the point of intersection of these two bisectors. Measure PA, PB, and PC.

Construct an equilateral Δ ABC such that:

Each side is 6 cm.

Construct a ∆ ABC such that AB = 6 cm, BC = 4.5 cm and AC = 5.5 cm. Construct a circumcircle of this triangle.

Construct an isosceles ∆ PQR such that PQ = PR = 6.5 cm and ∠PQR = 75°. Using a ruler and compasses only constructs a circumcircle to this triangle.

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.