Question 1
Which of the following sets represents the union of A = {1, 2, 3} and B = {3, 4, 5}?Sets and logicSets and logiceasy
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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?Mathematical inductionMathematical inductioneasy
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Question 3
Simplify the expression (2^3) × (2^4).IndicesIndiceseasy
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Question 4
Simplify the surd expression: √50.SurdsSurdseasy
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Question 5
If log₃ x = 4, what is the value of x?LogarithmsLogarithmseasy
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Question 6
Expand and simplify: (x + 3)(x - 5).Algebraic expressions and equationsAlgebraic expressions and equationseasy
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Question 7
Solve the quadratic equation x² - 5x + 6 = 0.Quadratic equations and inequalitiesQuadratic equations and inequalitieseasy
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Question 8
Calculate the determinant of the matrix [[3, 5], [2, 7]].Matrices and determinantsMatrices and determinantseasy
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Question 9
Find the equation of the line passing through (2,3) and (4,7).Coordinate geometryCoordinate geometrymedium
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Question 10
If sin θ = 0.6, find cos θ given that θ is acute.TrigonometryTrigonometrymedium
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