Class 7 · Mathematics · 10 Aug 2026

1.

Which of the following is equivalent to $49x^2 - 64y^2$ when factored or expanded using identities?

[2 marks]

(a) $(7x - 8y)^2$

(b) $(7x + 8y)(7x - 8y)$

(c) $(49x - 8y)(x + 8y)$

(d) $(7x + 8y)^2$

2.

Match the squared expressions with their correct expansions.

[3 marks]

Column A	Column B
1. (p + 2)²	a. p² + 4p + 4
2. (p - 1)²	b. p² - 2p + 1
3. (p + 3)²	c. p² + 6p + 9

Answer: __________________________________________

3.

The longest chord of a circle is known as its _____.

[1 mark]

4.

Define the term 'circumference' in the context of a circular running track at a school sports ground in Delhi.

[1 mark]

5.

Rahul is designing a square garden plot in his school in Jaipur. The side length of the garden is $(x + 4)$ metres. Use an algebraic identity to find the total area of the garden in terms of $x$.

[3 marks]