Topic Details (Notes format)

How to Do Prime Checking

Subject: Mathematics

Book: Maths Mastery

Determining whether a number is prime involves checking divisibility only up to its square root. For example, to test if 29 is prime, verify divisibility by primes less than √29 (~5.4), i.e., 2, 3, 5. Since none evenly divide 29, it is prime. Efficient prime checking algorithms play a significant role in encryption (RSA), random number generation, and coding challenges. Having a solid routine for prime checks sharpens your sense of number theory and fosters computational thinking—even if you rely on advanced methods for very large numbers.

Practice Questions

The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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If a number is divisible by 9, it is also divisible by which of the following?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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What is the HCF of 48 and 180?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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What is the area of an equilateral triangle with side length 10 cm?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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