Topic Details (Notes format)

How to Solve Word Problems in Math

Subject: Mathematics

Book: Maths Mastery

Word problems demand translating textual descriptions into equations or logical steps. A systematic approach involves reading carefully to identify known and unknown quantities, assigning variables, and creating a suitable equation. For instance, “Tom has 3 apples more than twice what Mary has” can be set up as T = 2M + 3. Solve the equation, interpret the result, and verify if it makes sense contextually. Practicing real-world scenarios—like rate-time-distance, mixture, or financial problems—builds problem-solving confidence and an ability to convert complexities into workable math solutions.

Practice Questions

If x - y = 5 and x + y = 15, what is the value of x?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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How many ways can 4 people sit in a row?

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What is the greatest common divisor (GCD) of 36 and 48?

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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If x^2 - 5x + 6 = 0, what are the roots?

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

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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

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