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

If the sum of three consecutive integers is 72, what are the integers?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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What is the HCF of 72 and 120?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If 2x - 3 = 7, what is the value of x?

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