Prep Africa

NSC MathematicsSouth Africa

AI-generated exam-style practice tailored for South Africa students.

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Question 91

If f(x) = x^2 - 4x + 3, find the roots of f(x) = 0.
AlgebraQuadratic Equationsmedium

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Question 92

Evaluate the integral ∫(2x^3 - 3x^2 + x) dx.
CalculusIntegrationhard

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Question 93

Find the derivative of y = 5x^3 + 2x.
CalculusCalculus: Differentiationmedium

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Question 94

A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. What is the area?
GeometryGeometry: Triangleseasy

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Question 95

If the probability of event A is 0.7 and event B is 0.5, and events are independent, what is P(A and B)?
ProbabilityProbability: Independent eventsmedium

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Question 96

In triangle ABC, angle C is 90°. If AB = 10 cm and AC = 6 cm, find length BC.
GeometryGeometry: Pythagoras theoremmedium

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Question 97

What is the simplified form of the expression: (2x^2 - 3x + 5) - (x^2 + 4x - 2)?
AlgebraAlgebra - Polynomial operationseasy

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Question 98

If f(x) = 3x - 4 and g(x) = x^2, what is (f ∘ g)(2)?
FunctionsFunctions - Composition of functionseasy

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Question 99

Differentiate the function y = 5x^3 - 2x + 7.
CalculusDifferentiation - Basic rulesmedium

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Question 100

In triangle ABC, angle A is 30°, and side BC = 10 cm. What is the length of side AB opposite angle C if triangle ABC is right-angled at B?
TrigonometryTrigonometry - Right trianglesmedium

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