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Mathematics | QuestionStock

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Mathematics

Category overview

Mathematics

Arithmetic, algebra, geometry, calculus, probability, number theory, and mathematical reasoning.

mathematics

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Total questions: 100

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A box has 5 red, 7 blue, and 8 green beads. If three beads are drawn without replacement, what is the probability all...

Easy

What is gcd(84, 126)?

Representative image for question: A fair spinner has five equally sized sectors labeled 1 through 5. If the spinner is spun twice, what is the probabil...

Easy

A fair spinner has five equally sized sectors labeled 1 through 5. If the spinner is spun twice, what is the probabil...

Representative image for question: In a right triangle the hypotenuse has length 13 and one leg has length 5. What is the length of the other leg?

Medium

In a right triangle the hypotenuse has length 13 and one leg has length 5. What is the length of the other leg?

$Representative image for question: Evaluate the limit: lim_{x→0} (sin(5x) − 5x) / x^3.$

Hard

Evaluate the limit: lim_{x→0} (sin(5x) − 5x) / x^3.

Representative image for question: What is the remainder when 11^2020 is divided by 10?

Easy

What is the remainder when 11^2020 is divided by 10?

Representative image for question: What is the product of 11 and 13?

Easy

What is the product of 11 and 13?

Representative image for question: Evaluate the integral ∫_0^1 [ln(1+x)/x] dx.

Hard

Evaluate the integral ∫_0^1 [ln(1+x)/x] dx.

Representative image for question: For the quadratic f(x) = 2x^2 − 8x + 6, what are the coordinates of its vertex?

Medium

For the quadratic f(x) = 2x^2 − 8x + 6, what are the coordinates of its vertex?

Representative image for question: What is the smallest positive integer n for which 2^n ≡ 1 (mod 7)?

Easy

What is the smallest positive integer n for which 2^n ≡ 1 (mod 7)?

Representative image for question: What is the sum of all positive divisors of 360?

Hard

What is the sum of all positive divisors of 360?

Representative image for question: A right circular cylinder has radius 3 and height 5. What is its lateral surface area (excluding bases)?

Easy

A right circular cylinder has radius 3 and height 5. What is its lateral surface area (excluding bases)?

Representative image for question: What is gcd(462, 168)?

Easy

What is gcd(462, 168)?

Representative image for question: Find all real roots of the equation x^4 − 5x^2 + 4 = 0.

Medium

Find all real roots of the equation x^4 − 5x^2 + 4 = 0.

Representative image for question: If an integer is chosen uniformly from 1 to 100, what is the probability it is divisible by some perfect square great...

Hard

If an integer is chosen uniformly from 1 to 100, what is the probability it is divisible by some perfect square great...

Representative image for question: What is the remainder when 3^2026 is divided by 8?

Easy

What is the remainder when 3^2026 is divided by 8?

Representative image for question: A bag contains 3 red, 4 blue, and 5 green balls. Two balls are drawn without replacement. What is the probability bot...

Easy

A bag contains 3 red, 4 blue, and 5 green balls. Two balls are drawn without replacement. What is the probability bot...

$Representative image for question: Evaluate the integral ∫_0^{π/2} sin^3(x) dx.$

Medium

Evaluate the integral ∫_0^{π/2} sin^3(x) dx.

Representative image for question: What are the eigenvalues of the 2×2 matrix [[2, 1], [1, 2]]?

Hard

What are the eigenvalues of the 2×2 matrix [[2, 1], [1, 2]]?

Representative image for question: Let f(x) = x^3 − 3x^2 + 2x. For which x does f have critical points (where f'(x) = 0)?

Medium

Let f(x) = x^3 − 3x^2 + 2x. For which x does f have critical points (where f'(x) = 0)?