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 x:y = 4:5 and y:z = 2:3, what is x:z?

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

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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What is the sum of the first 50 positive integers?

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