Prep Africa

NSC MathematicsSouth Africa

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

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Question 11

What is the value of x in the equation 2x + 5 = 15?

AlgebraAlgebra: Linear equationseasy

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Question 12

If f(x) = 3x^2 - 2x + 1, what is f(2)?

FunctionsFunctions: Evaluationeasy

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Question 13

What is the derivative of f(x) = 5x^3 - 4x + 7?

CalculusCalculus: Differentiationmedium

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Question 14

In a right-angled triangle, if one angle is 30°, what is the length of the side opposite this angle if the hypotenuse is 10 units?

TrigonometryTrigonometry: Right-angled triangleseasy

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Question 15

What is the area of a circle with radius 7 cm? (Use π ≈ 3.14)

GeometryGeometry: Circle areaeasy

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Question 16

A bag contains 3 red, 5 blue, and 2 green balls. What is the probability of drawing a blue ball?

ProbabilityProbability: Basic probabilityeasy

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Question 17

The mean of five numbers is 12. If one number is removed, the mean of the remaining four numbers is 10. What is the removed number?

StatisticsStatistics: Measures of central tendencymedium

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Question 18

If f(x) = 2x^2 - 3x + 4, find the x-coordinate of the vertex.

AlgebraAlgebra: Quadratic functionsmedium

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Question 19

Calculate the limit: lim(x→0) (sin 3x)/x.

CalculusCalculus: Limitshard

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Question 20

In triangle ABC, AB = AC and angle BAC = 40°. What is the measure of angle ABC?

GeometryGeometry: Isosceles triangleshard

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