ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Construct a ∆ ABC such that:

AB = 7 cm, BC = 5 cm and ∠ABC = 60°

Construct a ∆ ABC such that:

BC = 6 cm, AC = 5.7 cm and ∠ACB = 75°

Construct a ∆ ABC such that:

AB = 6.5 cm, AC = 5.8 cm and ∠A = 45°

Construct a ∆ PQR such that :

PQ = 6 cm, ∠Q = 60° and ∠P = 45°. Measure ∠R.

Construct a ∆ PQR such that:

QR = 4.4 cm, ∠R = 30° and ∠Q = 75°. Measure PQ and PR.

Evaluate: `6^-2 div (4^-2 xx 3^-2)`

Construct a ∆ PQR such that:

PR = 5.8 cm, ∠P = 60° and ∠R = 45°. Measure ∠Q and verify it by calculations

Evaluate: `[(5/6)^2 xx 9/4] div [(- 3^2/2) xx 125/216]`

Construct an isosceles Δ ABC such that:

Base BC = 4 cm and base angle = 30°. Measure the other two sides of the triangle.

Evaluate: 5³ × 3² + (17)⁰ × 7³ 

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.