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๐ŸŽฏ Exam Preparation Kit

Class 10 Maths Exam Prep

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Class 10 Maths Exam Prep

This exam covers key concepts in mathematics including number theory, geometry, algebra, and the properties of functions. Students should be familiar with solving equations, understanding properties of numbers, and worki...

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Sample questions with model answers

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5 marks Long answer

Prove that โˆš3 is an irrational number.

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Assume โˆš3 is rational, derive a contradiction.

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5 marks Long answer

Find a quadratic polynomial whose sum and product of zeroes are 0 and -9, respectively. Also, find the zeroes of the polynomial so obtained.

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Polynomial is x^2 + 9, zeroes are ยฑ3.

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5 marks Long answer

Solve the following system of equations graphically: x + 3y = 6; 2x - 3y = 12.

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Graph intersection gives solution.

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5 marks Long answer

x and y are complementary angles such that x:y = 1:2. Express the given information as a system of linear equations in two variables and hence solve it.

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x + y = 90ยฐ, x = 30ยฐ, y = 60ยฐ.

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