Math Essentials Quiz

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Calculus & stats basics

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Yaj Kotak

United States

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Froggy Jumps Math Essentials QuizOnline version Calculus & stats basics by Yaj Kotak 1 1. A function is concave up on an interval when: a The second derivative is positive b The slope is decreasing c The first derivative is zero 2 2. A point of inflection occurs where a function: a Changes concavity b Has a slope of zero c Has a maximum value 3 3. What is the derivative of e^x? a ln(x) b e^x c x * e^(x-1) 4 4. Which expression is an antiderivative of 6x^2? a 2x^2 b x^3 + C c 2x^3 + C 5 5. Money invested at a fixed interest rate that grows by a constant percentage over time is best modeled by: a Linear growth b Exponential growth c Quadratic growth 6 6. Which function grows faster as x becomes very large? a y = e^x b y = x^2 c y = 3x 7 7. The expected value of a random variable represents: a The maximum possible value b The average outcome over many trials c The most likely outcome 8 8. A normal distribution is best described as: a Skewed left b Bell-shaped and symmetric c Uniform 9 9. The limit of a function as x approaches a value describes: a The slope at that point b The exact function value c The value the function approaches 10 10. The slope of a function at a point represents: a The average value over an interval b The instantaneous rate of change c The area under the curve

Froggy Jumps

Math Essentials QuizOnline version

Calculus & stats basics

by Yaj Kotak

1. A function is concave up on an interval when:

The second derivative is positive

The slope is decreasing

The first derivative is zero

2. A point of inflection occurs where a function:

Changes concavity

Has a slope of zero

Has a maximum value

3. What is the derivative of e^x?

ln(x)

e^x

x * e^(x-1)

4. Which expression is an antiderivative of 6x^2?

2x^2

x^3 + C

2x^3 + C

5. Money invested at a fixed interest rate that grows by a constant percentage over time is best modeled by:

Linear growth

Exponential growth

Quadratic growth

6. Which function grows faster as x becomes very large?

y = e^x

y = x^2

y = 3x

7. The expected value of a random variable represents:

The maximum possible value

The average outcome over many trials

The most likely outcome

8. A normal distribution is best described as:

Skewed left

Bell-shaped and symmetric

Uniform

9. The limit of a function as x approaches a value describes:

The slope at that point

The exact function value

The value the function approaches

10. The slope of a function at a point represents:

The average value over an interval

The instantaneous rate of change

The area under the curve

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Math Essentials Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Math Essentials QuizOnline version

by Yaj Kotak

1. A function is concave up on an interval when:

2. A point of inflection occurs where a function:

3. What is the derivative of e^x?

4. Which expression is an antiderivative of 6x^2?

5. Money invested at a fixed interest rate that grows by a constant percentage over time is best modeled by:

6. Which function grows faster as x becomes very large?

7. The expected value of a random variable represents:

8. A normal distribution is best described as:

9. The limit of a function as x approaches a value describes:

10. The slope of a function at a point represents:

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