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KCSE Mathematics AI Practice

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Question 61

Find the equation of the line passing through points (1,2) and (3,6).
Coordinate geometryCoordinate geometrymedium

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Question 62

In a right triangle, if one acute angle is 30°, what is the sine of this angle?
TrigonometryTrigonometryeasy

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Question 63

Solve for x in the equation sin x = 0.5, where 0° ≤ x < 360°.
Trigonometric equations and identitiesTrigonometric equations and identitiesmedium

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Question 64

What is the domain of the function f(x) = 1/(x-3)?
Functions and graphsFunctions and graphseasy

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Question 65

Differentiate f(x) = 4x^3 - 2x + 7 with respect to x.
Differentiation (calculus)Differentiationeasy

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Question 66

Integrate ∫ (3x^2) dx.
Integration (calculus)Integrationeasy

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Question 67

If the probability of event A is 0.3, what is the probability of event A not occurring?
Probability and combinatoricsProbability and combinatoricseasy

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Question 68

Find the 4th term of the geometric progression with first term 2 and common ratio 3.
Progressions: arithmetic and geometricProgressionsmedium

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Question 69

Given vectors a = (1, 2, 3) and b = (4, -1, 2), find their dot product.
Vectors in 2D and 3DVectorsmedium

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Question 70

If Set A = {1, 2, 3} and Set B = {3, 4, 5}, what is A ∩ B?
Sets and logicSets and Logiceasy

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