Topic Details (Notes format)

How to Perform Long Division

Subject: Mathematics

Book: Maths Mastery

Long division systematically divides multi-digit dividends by single or multi-digit divisors, generating a quotient and remainder. For instance, dividing 728 by 8: 8 goes into 72 nine times (72), leaving 0, then 8 into 8 is once, so the quotient is 91. Remainders can be expressed as fractions or decimals if needed. Long division helps in real-world tasks like splitting bills, distributing resources, or converting fractions to decimals. Even in an era of calculators, proficiency ensures clarity, fosters number sense, and handles situations without digital tools.

Practice Questions

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

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What is the sum of the first 10 positive even numbers?

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The area of an equilateral triangle with side length 6 cm is:

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A sphere has a radius of 7 cm. What is its volume?

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What is the cube root of 729?

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What is the sum of all even numbers between 1 and 100?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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What is the square root of 144?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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