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

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

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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A train 150 m long passes a pole in 15 seconds. What is its 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 7th term of the arithmetic progression 3, 6, 9, 12,...?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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

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What is the square root of 144?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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