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 2x - 3 = 7, what is the value of x?

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

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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

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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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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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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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