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NSC Mathematics AI Practice

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Question 101

Find the area of a circle with diameter 14 cm.
GeometryGeometry - Circleseasy

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Question 102

A box contains 3 red balls and 2 blue balls. One ball is drawn at random. What is the probability that the ball is not blue?
ProbabilityProbability - Basic probabilityeasy

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Question 103

The mean of 5 numbers is 12. If one number is removed, the mean becomes 10. What is the number removed?
StatisticsStatistics - Measures of central tendencymedium

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Question 104

Evaluate the integral ∫(2x^3 - x^2 + 4) dx.
CalculusIntegration - Basic integrationmedium

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Question 105

In triangle ABC, sides AB = 7 cm, AC = 9 cm, and BC = 12 cm. Calculate the measure of angle B using the cosine rule.
GeometryGeometry - Cosine rulehard

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Question 106

A bag contains 5 green, 3 yellow and 2 red marbles. Two marbles are drawn without replacement. What is the probability both are green?
ProbabilityProbability - Conditional probabilityhard

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Question 107

Calculate the derivative of f(x) = 5x^3 at x = 2.
CalculusCalculus - Differentiationmedium

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Question 108

What is the value of sin 45°?
TrigonometryTrigonometry - Exact values of trigonometric ratioseasy

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Question 109

Find the area of a triangle with base 10 cm and height 6 cm.
GeometryGeometry - Area of triangleseasy

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Question 110

If two events A and B are independent and P(A) = 0.3, P(B) = 0.4, what is P(A and B)?
ProbabilityProbability - Independent eventsmedium

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