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

What is the HCF of 72 and 120?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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What is the sum of the first 10 positive even numbers?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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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 man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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

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