KCSE Mathematics – Kenya

Question 1

Which of the following sets represents the union of A = {1, 2, 3} and B = {3, 4, 5}?

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Question 2

Using mathematical induction, prove that the sum of the first n odd numbers is n². What is the base case for this proof?

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Question 3

Simplify the expression (2^3) × (2^4).

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Question 4

Simplify the surd expression: √50.

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Question 5

If log₃ x = 4, what is the value of x?

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Question 6

Expand and simplify: (x + 3)(x - 5).

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Question 7

Solve the quadratic equation x² - 5x + 6 = 0.

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Question 8

Calculate the determinant of the matrix [[3, 5], [2, 7]].

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Question 9

Find the equation of the line passing through (2,3) and (4,7).

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Question 10

If sin θ = 0.6, find cos θ given that θ is acute.

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