Prep Africa

NSC MathematicsSouth Africa

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

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Question 141

The mean of five numbers is 12. If one number is removed and the mean of the remaining four is 10, what is the removed number?
StatisticsMeasures of central tendencymedium

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Question 142

Find the equation of the line perpendicular to $y = 2x + 3$ that passes through the point (1,4).
GeometryCoordinate geometry: lines and slopesmedium

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Question 143

Evaluate the integral $\int (3x^2 - 4) dx$.
CalculusIntegration: Basic rulesmedium

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Question 144

Given a circle with radius 7 cm, what is the area of the sector with a central angle of 60°?
GeometryCircle geometry: Areas and sectorsmedium

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Question 145

If $f(x) = \sin x$ and $g(x) = \cos x$, what is the value of $f(\pi/3) \times g(\pi/6)$?
TrigonometryTrigonometric functions and valueshard

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Question 146

Simplify the expression: 3(x + 2) - 5(x - 1).
AlgebraAlgebra - Simplifying expressionseasy

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Question 147

Find the value of f(3) if f(x) = 2x^2 - 5x + 1.
FunctionsFunctions - Evaluationeasy

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Question 148

Differentiate y = 5x^3 - 2x^2 + 7x - 4.
CalculusCalculus - Differentiationmedium

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Question 149

Calculate the length of the diagonal of a rectangle with length 8 cm and width 6 cm.
GeometryGeometry - Pythagoras theoremeasy

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Question 150

If a fair die is rolled once, what is the probability of getting an even number?
ProbabilityProbability - Basic probabilityeasy

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