# Important Questions for Class 7 Chapter 13-Exponents and Powers

If you are preparing for your final exam or any other test, you can use this free set of important questions for CBSE class 7th Math PDF for practice.

**Important questions based on NCERT syllabus for Class 7 Chapter 13 - Exponents and Powers:**

*Question 1*: A shop keeper A has Rs.34265 in his counter and shop keeper B has 432500 paise in his counter. Express the difference in rupees in standard form.

*Solution*:

The amount shop keeper A has = Rs.34265.

The amount shop keeper B has = Rs.4325.

Difference = Rs.29940.

= 2.9940 x 10^4

*Question 2*: A ball is thrown from point A, it reaches to a height of x metres and after it bounces on to the land And raises to half the height. Given that it bounces half the height of the previous height . Find the product of first 9 heights.

*Solution*:

Height reached before first bounce = x m

Height reached after first bounce = (x/2) m

Height reached after second bounce = (x/4) m

Height reached after third bounce = (x/8) m

Height reached after fourth bounce = (x/16) m

Height reached after fifth bounce = (x/32) m

Height reached after sixth bounce = (x/64) m

Height reached after seventh bounce = (x/128) m

Height reached after eight bounce = (x/256) m

Product of first 9 heights = 𝑥^9/ 2^36

*Question 3*: A man X has a land whose area is 34 metre square and a man Y has 43 metre square of land. if the land costs Rs.50 per meter square, who has higher property value?

*Solution*:

The area of land which X has = 81 m^2

The value of given property = (81)x(50) = Rs.4050.

The area of land which Y has = 64 m^2

The value of given property = (64)x(50) = Rs.3200

Value of Property of X is greater than Y