About this Study Set
This study set covers Calculus through
20 practice questions.
An introduction to the basic concepts of rates of change, slopes, and accumulation suitable for elementary students. Every question includes the correct answer so you can learn as you go — pick any format above to get started.
Questions & Answers
Browse all 20 questions from the
Calculus Fundamentals for Beginners study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
What does the slope of a straight line measure on a graph?
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A
The color of the line
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B
The steepness of the line
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C
The thickness of the line
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D
The length of the line
2
In mathematics, what is the study of how things change called?
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A
Geometry
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B
Calculus
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C
Arithmetic
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D
Spelling
3
Which famous scientist is often credited with co-inventing calculus?
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A
Isaac Newton
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B
Albert Einstein
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C
Charles Darwin
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D
Gregor Mendel
4
What is a simple way to describe the 'rate of change'?
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A
How fast something happens
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B
How heavy an object is
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C
How cold the weather is
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D
How many items are in a box
5
If a car's speed is constant, what happens to its position over time?
-
A
It stays the same
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B
It changes at a steady rate
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C
It moves randomly
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D
It disappears
6
What shape do you get if you graph a linear equation with a constant slope?
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A
A circle
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B
A zigzag
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C
A straight line
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D
A spiral
7
Calculus is often divided into two main branches: Differential and what else?
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A
Integral
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B
Fractional
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C
Geometric
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D
Subtractive
8
When we look at the 'area under a curve' on a graph, what are we usually measuring?
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A
The weight of the paper
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B
The accumulation of a quantity
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C
The speed of a train
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D
The number of colors used
9
Which mathematical symbol is commonly used to represent a very small change?
10
If a line goes upward from left to right, is the slope positive or negative?
-
A
Positive
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B
Negative
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C
Neutral
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D
Zero
11
What do we call a point where a curve changes direction?
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A
A flat spot
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B
A turning point
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C
A corner
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D
A dead end
12
If you are measuring how the speed of a ball changes every second, what part of calculus are you using?
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A
Division
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B
Addition
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C
Differentiation
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D
Counting
13
What does a 'horizontal line' tell us about the rate of change?
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A
It is increasing
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B
It is decreasing
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C
It is zero
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D
It is very fast
14
Calculus is useful for calculating the motion of which of the following?
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A
Planets
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B
Letters
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C
Colors
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D
Dreams
15
Which Greek letter is often used to represent a small change in calculus?
-
A
Alpha
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B
Delta
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C
Omega
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D
Pi
16
To find the total distance traveled when speed changes, you use which part of calculus?
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A
Subtraction
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B
Integration
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C
Multiplication
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D
Division
17
On a graph, the x-axis typically represents what?
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A
Time or input
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B
Speed
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C
Height
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D
Weight
18
A 'derivative' helps us find which of the following?
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A
The total count
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B
The exact rate of change
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C
The size of a shape
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D
The temperature
19
What is the opposite of 'increasing' when describing a slope?
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A
Expanding
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B
Decreasing
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C
Scaling
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D
Staying
20
Which of these is a real-world application of calculus?
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A
Predicting weather patterns
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B
Choosing a shirt color
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C
Sorting books by size
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D
Counting coins in a jar
