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

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What is the HCF of 72 and 120?

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What is the remainder when 5^100 is divided by 3?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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The probability of getting an even number when rolling a die is:

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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If 3x = 81, what is the value of x?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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