Secondary School (English Medium) (5 to 8) कक्षा ७ - CBSE Question Bank Solutions for Mathematics

Using laws of exponents, simplify and write the answer in exponential form:

a⁴ × b⁴ 

Simplify and express the following in exponential form:

`(2^3 xx 3^4 xx 4)/(3 xx 32)`

Simplify and express the following in exponential form:

`(3 xx 7^2 xx 11^8)/(21 xx 11^3)`

Simplify and express the following in exponential form:

2⁰ + 3⁰ + 4⁰

Simplify and express the following in exponential form:

2⁰ × 3⁰ × 4⁰

Simplify and express the following in exponential form:

(3⁰ + 2⁰) × 5⁰

Say true or false and justify your answer:

10 × 10¹¹ = 100¹¹

Say true or false and justify your answer:

2³ × 3² = 6⁵

Say true or false and justify your answer:

3⁰ = (1000)⁰

Express the following as a product of prime factors only in exponential form:

108 × 192

Express the following as a product of prime factors only in exponential form:

270

Express the following as a product of prime factors only in exponential form:

729 × 64

Express the following as a product of prime factors only in exponential form:

768

Find the ratio of Rs 5 to 50 paise

Find the ratio of 15 kg to 210 g

Find the ratio of 9 m to 27 cm

Find the ratio of 30 days to 36 hours

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs.

Area of Rajasthan = 3 lakh km² and area of UP = 2 lakh km².

1) How many people are there per km² in both these States?

2) Which State is less populated?

Complete the following statement:

Two line segments are congruent if __________.