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

The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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

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

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

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

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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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If x^2 - 6x + 9 = 0, what is the value of x?

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

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If the perimeter of a square is 40 cm, what is the area of the square?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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