## ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 4

**Choose the correct answer from the given four options (1-2):**

Question 1.

\(\frac{103^{2}-97^{2}}{200}\) is equal to

(a) 3

(b) 4

(c) 5

(d) 6

Solution:

Question 2.

If the’ sum of three consecutive even integers is 36, then the largest integer is

(a) 10

(b) 12

(c) 14

(d) 16

Solution:

Question 3.

Find the area of rectangle whose length and breadth are respectively (4x^{2} – 3x + 7) and (3 – 2x + 3x^{2}).

Solution:

Question 4.

Factorize: a^{2} – c^{2} – 2ab + b^{2}.

Solution:

Question 5.

The ages of A and B are in the ratio 3 : 4. Five years later the sum of their ages will be 31 years. What are their present ages?

Solution:

Question 6.

The sum of the digits of a two-digit number is 13. If the number obtained by reversing the digits is 45 more than the original number. Find the original number.

Solution:

Question 7.

The ratio between an exterior angle and interior angle of a regular polygon is 1 : 5, find:

(i) the measure of each exterior angle,

(ii) the measure of each interior angle.

(iii) the number of sides of the polygon.

Solution:

Question 8.

Solve the inequality: 3 – \(\frac{x}{2}\) > 2 – \(\frac{x}{3}\) , x ϵ W.

Also represent its solution set on the number line.

Solution:

Question 9.

Factorise: x^{2} + \(\frac{1}{x^{2}}-7\left(x-\frac{1}{x}\right)\) + 8.

Solution:

Question 10.

In the given figure, ABCD is a parallelogram. Find x, y, z and w.

Solution: