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

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

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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A car travels 240 km in 4 hours. What is its average speed?

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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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What is the value of x if log(x) + log(4) = log(32)?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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

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

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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