KCSE Mathematics – Kenya

Question 11

Solve for x in the equation 2sin x = 1 where 0° ≤ x ≤ 360°.

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Question 12

Determine the range of the function f(x) = 2x + 3 where x ∈ [1,4].

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Question 13

Differentiate y = 3x² + 5x - 7 with respect to x.

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Question 14

Integrate ∫ (2x + 3) dx.

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Question 15

Calculate the variance of the data set: 2, 4, 6, 8, 10.

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Question 16

Find the probability of getting exactly 2 heads in 3 tosses of a fair coin.

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Question 17

If A = {2, 4, 6, 8} and B = {4, 8, 10, 12}, what is A ∩ B?

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Question 18

What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?

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Question 19

Using mathematical induction, prove that the sum of the first n natural numbers is given by S = n(n+1)/2. What is the base case for this proof?

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Question 20

If 3^x = 81, what is the value of x?

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