Topic Details (Notes format)

How to Interpret and Plot Line Graphs

Subject: Mathematics

Book: Maths Mastery

Line graphs track changes over continuous intervals, typically time. Data points are plotted in an XY-plane and connected by straight segments, illustrating trends or fluctuations. For example, if you log daily temperature for a week, each day is on the x-axis, and temperature on the y-axis. Drawing lines between points shows overall weather progression. Line graphs excel at highlighting upward or downward patterns, cyclical changes, or anomalies. Skilled interpretation helps business forecasting, scientific data analysis, and personal tracking (like weight changes or daily exercise logs) with clarity and insight.

Practice Questions

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

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If x - y = 5 and x + y = 15, what is the value of x?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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The LCM of 12 and 15 is:

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A cube has a side length of 4 cm. What is its volume?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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What is the sum of the first 20 odd numbers?

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