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NSC Mathematics AI Practice

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Question 261

Find the derivative of f(x) = x^3.
CalculusDifferentiation Basicseasy

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Question 262

In triangle ABC, if angle A = 30° and side BC = 10, what is the length of side AB opposite angle C if angle C = 60°?
TrigonometryLaw of Sines and Cosinesmedium

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Question 263

Evaluate the integral ∫ 2x dx from x=0 to x=3.
CalculusIntegration Basicsmedium

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Question 264

What is the probability of rolling a sum of 7 with two dice?
ProbabilityProbability of Eventsmedium

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Question 265

Find the equation of the line passing through (2,3) with slope -2.
AlgebraLinear Functionsmedium

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Question 266

A set of data has mean 20 and standard deviation 5. What is the variance?
StatisticsMeasures of Dispersioneasy

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Question 267

If cos θ = 3/5 and θ is acute, find sin θ.
TrigonometryTrigonometric Identitiesmedium

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Question 268

Find the roots of the quadratic equation x² - 4x + 13 = 0.
AlgebraQuadratic Equations and Complex Numbershard

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Question 269

Find the derivative of y = 5x^3 - 4x + 7.
CalculusDifferentiation - Basic derivativesmedium

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Question 270

If P(A) = 0.3 and P(B) = 0.5 and A and B are independent, what is P(A and B)?
ProbabilityProbability - Independent eventsmedium

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