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Find the square roots of 400 by the Prime Factorisation Method.

Solution We have to find the square root of 400 by prime factorisation method 400 = 1 × 5 × 5 × 2 × 2 × 2... View Article

Find the square roots of 729 by the Prime Factorisation Method.

Solution We have to find the square root of 729 by prime factorisation method 729 = 1 × 3 × 3 × 3 × 3 × 3... View Article

Solve the following equation and check your results: x = 4/5 (x + 10)

Solution 5x = 4 (x + 10) Rearranging and combining the like terms 5x = 4x + 40 5x – 4x = 40 x = 40 Verification... View Article

Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB-AC = 3.5 cm.

Procedure 1. Draw a line segment of base BC = 8 cm 2. Measure and draw ∠B = 45° and extend the ray BX 3. Using a compass... View Article

Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.

1. Draw a line segment AB which is equal to XY+YZ+ZX = 11 cm. 2. Make an angle ∠Y = 30° from point A and the angle be∠LAB 3. Make... View Article

The centre of a circle lies in ____________ of the circle. (exterior/ interior)

The centre of a circle lies in interior of the circle. Circle A circle is a closed two-dimensional figure in which the set of all the... View Article

Find the square roots of 8100 by the Prime Factorisation Method.

Solution We have to find the square root of 8100 by the prime factorisation method 8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 1 8100 = (2 × 2) ×... View Article

Find the square roots of 9216 by the Prime Factorisation Method.

Solution We have to find the square root of 9216 by the prime factorisation method 9216 = 2 × 2 × 2 × 2 × 2 ×... View Article

Find the square roots of 5929 by the Prime Factorisation Method.

Solution We have to find the square root of 5929 by the prime factorisation method 5929 = 7 × 7 × 11 × 11 5929 = (7... View Article

Find the square roots of 9604 by the Prime Factorisation Method.

Solution We have to find the square root of 9604 by the prime factorisation method 9604 = 2 × 2 × 7 × 7 × 7... View Article

Find the square roots of 7744 by the Prime Factorisation Method.

Solution We have to find the square root of 7744 by the prime factorisation method 7744 = 2 × 2 × 2 × 2 × 2... View Article

Find the square roots of 4096 by the Prime Factorisation Method.

Solution We have to find the square root of 4096 by the prime factorisation method 4096 = 2 × 2 × 2 × 2 × 2... View Article

Find the square roots of 1764 by the Prime Factorisation Method.

Solution We have to find the square root of 1764 by prime factorisation method 1764 = 2 × 2 × 3 × 3 × 7 × 7 × 1 1764 = (2 × 2) × (3 × 3) ×... View Article

Construct the following quadrilateral: Parallelogram MORE. OR = 6 cm

Solution RE = 4.5 cm EO = 7.5 We know that opposite sides of a parallelogram are equal in length and also these are parallel to each other.... View Article

Solve the following equation and check your results: 8x + 4 = 3 (x – 1) + 7

Solution 8x + 4 = 3x – 3 + 7 Rearranging and combining the like terms 8x – 3x = – 3 + 7– 4 5x = 0 x = 0... View Article

What is the maximum exterior angle possible for a regular polygon?

Solution Each exterior angle of an equilateral triangle is 120°. This the maximum possible value of exterior angle of a regular polygon. We... View Article

Prove that the parallelogram circumscribing a circle is a rhombus.

Consider a parallelogram ABCD which is circumscribing a circle with a center O. Since ABCD is a parallelogram, AB = CD and BC = AD. AP = AS-----... View Article

Visualise 3.765 on the number line, using successive magnification.

We have to represent 3.765 on the number line using the successive magnification method. 1: We will check the range of the number and... View Article

Solve the following equation and check your results: 2y + 5/3 = 26/3 – y

Solution (6y + 5) / 3 = (26 – 3y) / 3 6y + 5 = 26 – 3y Rearranging and combining the like terms 6y + 5 + 3y = 26 ... View Article

In Figure, PS is the bisector of ∠ QPR of ∆ PQR. Prove that QS/PQ = SR/PR

Given PS is the angle bisector of ∠QPR. To Prove QS/PQ = SR/PR Construction Draw a line segment RT parallel to SP which intersects... View Article

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