Prep Africa

NSC MathematicsSouth Africa

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

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Question 281

What is the derivative of f(x) = x^3 + 2x?
CalculusDifferentiation rulesmedium

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Question 282

In triangle ABC, if angle A = 90°, side AB = 6 cm, and side AC = 8 cm, what is the length of side BC?
GeometryTriangles: Pythagoras theoremeasy

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Question 283

If sin θ = 0.5, what is the value of θ in degrees (0° ≤ θ ≤ 180°)?
TrigonometryTrigonometric ratios and solutionsmedium

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Question 284

Find the probability of rolling an even number on a fair six-sided die.
ProbabilityProbability of simple eventseasy

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Question 285

The data set is: 2, 5, 7, 7, 9, 10, 12. What is the median?
StatisticsMeasures of central tendencyeasy

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Question 286

If f(x) = x^2 - 4x + 3, find the x-coordinate of the vertex.
FunctionsQuadratic functions and their graphsmedium

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Question 287

Differentiate y = sin x * cos x with respect to x.
CalculusDifferentiation: product rulehard

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Question 288

In a circle with radius 5 cm, what is the length of an arc subtended by a central angle of 60°? (Use π ≈ 3.14)
GeometryCircle geometry: arc length and sectorshard

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Question 289

What is the derivative of f(x) = 5x^3 - 4x + 1?
CalculusDifferentiationmedium

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Question 290

In a triangle, if one angle is 90°, and the hypotenuse is 10 cm, what is the length of the side opposite a 30° angle?
TrigonometryTrigonometric Ratioseasy

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