1
Q
A
2
Q
Define algebra.
A
A branch of mathematics dealing with symbols and the rules for manipulating those symbols.
3
Q
What is the quadratic formula?
A
The formula x = (-b ± √(b²-4ac)) / 2a used to solve quadratic equations.
4
Q
True or false: The Pythagorean theorem applies to all triangles.
A
FALSE
It only applies to right-angled triangles.
5
Q
Fill in the blank: The slope of a line is calculated as _______.
A
rise over run
6
Q
What is a function?
A
A relation that assigns exactly one output for each input.
7
Q
Define mean.
A
The average of a set of numbers, calculated by dividing the sum by the count.
8
Q
What does SD stand for in statistics?
A
Standard Deviation, a measure of the amount of variation in a set of values.
9
Q
True or false: A prime number has exactly two distinct positive divisors.
A
TRUE
10
Q
Fill in the blank: The area of a rectangle is calculated as _______.
A
length times width
11
Q
What is the discriminant in a quadratic equation?
A
The value b² - 4ac that determines the nature of the roots.
12
Q
Define perimeter.
A
The total distance around the outside of a polygon.
13
Q
What is the sine of an angle in a right triangle?
A
The ratio of the length of the opposite side to the hypotenuse.
14
Q
True or false: The sum of angles in a triangle is always 180 degrees.
A
TRUE
15
Q
Fill in the blank: A circle’s circumference is calculated as _______.
A
2πr
16
Q
What is probability?
A
The measure of the likelihood that an event will occur.
17
Q
Define median.
A
The middle value in a data set when arranged in order.
18
Q
What is a composite number?
A
A positive integer that has at least one positive divisor other than one or itself.
19
Q
True or false: The mode is the most frequently occurring number in a data set.
A
TRUE
20
Q
Fill in the blank: The volume of a cube is calculated as _______.
A
side³
21
Q
What is the hypotenuse?
A
The longest side of a right triangle, opposite the right angle.
22
Q
Define ratio.
A
A relationship between two quantities, showing how many times the first number contains the second.
23
Q
What is a linear equation?
A
An equation that makes a straight line when graphed.
24
Q
True or false: The x-intercept is where a graph crosses the y-axis.
A
FALSE
It crosses the x-axis.
25
Fill in the blank: The **volume** of a cylinder is calculated as _______.
πr²h
26
What is **exponentiation**?
The process of raising a number to the power of an exponent.
27
Define **integer**.
A whole number that can be positive, negative, or zero.
28
What is the **greatest common divisor** (GCD)?
The largest positive integer that divides two or more integers without a remainder.
29
True or false: An **acute angle** is greater than 90 degrees.
FALSE
## Footnote
An acute angle is less than 90 degrees.
30
Fill in the blank: The **area** of a triangle is calculated as _______.
1/2 base times height
31
What is a **variable** in mathematics?
A symbol used to represent an unknown value.
32
Define **coefficient**.
A numerical factor in a term of an algebraic expression.
33
What is a **set** in mathematics?
A collection of distinct objects, considered as an object in its own right.
34
True or false: A **function** can have multiple outputs for a single input.
FALSE
## Footnote
Each input must correspond to exactly one output.
35
Fill in the blank: The **circumference** of a circle is calculated as _______.
πd
36
What is a **matrix**?
A rectangular array of numbers arranged in rows and columns.
37
Define **angle**.
The figure formed by two rays, called the sides of the angle, sharing a common endpoint.
38
What is the **mean** of 2, 4, 6?
The mean is 4.
39
True or false: The **sum** of two odd numbers is even.
TRUE
40
Fill in the blank: The **distance formula** is derived from _______.
the Pythagorean theorem
41
What is a **complementary angle**?
Two angles that add up to 90 degrees.
42
Define **perpendicular lines**.
Lines that intersect at a right angle (90 degrees).
43
What is the **area** of a circle?
The area is calculated as πr².
44
True or false: A **function** must always be linear.
FALSE
## Footnote
Functions can be linear or non-linear.
45
Fill in the blank: The **product** of two numbers is the result of _______.
multiplication
46
What is a **line segment**?
A part of a line that is bounded by two distinct endpoints.
47
Define **composite function**.
A function formed by combining two functions, denoted as (f◦g)(x) = f(g(x)).
48
What is the **mean** of the first five positive integers?
The mean is 3.
49
True or false: The **area** of a square is side squared.
TRUE
50
Fill in the blank: The **intercept** of a graph is where it crosses the _______.
axis
51
What is the **law of sines**?
A formula relating the lengths of sides of a triangle to the sines of its angles.
52
Define **factorial**.
The product of all positive integers up to a given number, denoted as n!.
53
What is the **range** of a data set?
The difference between the highest and lowest values.
54
True or false: A **reflex angle** is greater than 180 degrees.
TRUE
55
Fill in the blank: The **complement** of an angle is _______.
90 degrees minus the angle
56
What is a **binomial**?
A polynomial with exactly two terms.
57
Define **asymptote**.
A line that a graph approaches but never touches.
58
What is the **circumference** of a circle with radius 5?
The circumference is 10π.
59
True or false: The **sum** of the interior angles of a quadrilateral is 360 degrees.
TRUE
60
Fill in the blank: The **vertex** of an angle is the _______.
point where the two rays meet
61
What is a **transversal**?
A line that crosses at least two other lines.
62
Define **congruence**.
A term used to describe figures that have the same size and shape.
63
What is the **area** of a trapezoid?
The area is calculated as 1/2 (base1 + base2) × height.
64
True or false: The **product** of two even numbers is odd.
FALSE
## Footnote
The product is always even.
65
Fill in the blank: A **permutation** is an arrangement of _______.
objects in a specific order
66
What is a **hypothesis** in statistics?
A proposed explanation made on the basis of limited evidence.
67
Define **outlier**.
A data point that differs significantly from other observations.
68
What is the **mean** of 10, 20, 30?
The mean is 20.
69
True or false: A **circle** has an infinite number of lines of symmetry.
TRUE
70
Fill in the blank: The **greatest common factor** (GCF) is the largest _______.
factor shared by two or more numbers
71
What is a **function's domain**?
The set of all possible input values (x-values) for the function.
72
Define **discrete data**.
Data that can only take certain values, often counted.
73
What is the **mean** of 1, 2, 3, 4?
The mean is 2.5.
74
True or false: The **mode** can be more than one number.
TRUE
75
Fill in the blank: The **length** of a rectangle is _______ than its width.
greater
76
What is a **linear inequality**?
An inequality that involves a linear expression.
77
Define **sample space**.
The set of all possible outcomes in a probability experiment.
78
What is the **mean** of 5, 15, 25?
The mean is 15.
79
True or false: A **square** is a type of rectangle.
TRUE
80
Fill in the blank: The **interquartile range** is the difference between the _______.
third and first quartiles
81
What is a **function's range**?
The set of all possible output values (y-values) for the function.
82
Define **mean absolute deviation**.
The average of the absolute differences between each data point and the mean.
83
What is the **area** of a parallelogram?
The area is calculated as base times height.
84
True or false: The **sum** of two even numbers is odd.
FALSE
85
Fill in the blank: The **circumference** of a circle with diameter 10 is _______.
10π
86
What is the **law of cosines**?
A formula that relates the lengths of the sides of a triangle to the cosine of one of its angles.
87
Define **disjoint sets**.
Sets that have no elements in common.
88
What is the **mean** of 4, 8, 12?
The mean is 8.
89
True or false: A **rectangle** has four equal sides.
FALSE
## Footnote
A rectangle has opposite sides equal.
90
Fill in the blank: The **sum** of the angles in a triangle is _______.
180 degrees
91
What is a **factor** in mathematics?
A number that divides another number without leaving a remainder.
92
Define **absolute value**.
The distance of a number from zero on the number line, always non-negative.
93
What is the **mean** of 3, 6, 9?
The mean is 6.
94
True or false: The **area** of a triangle can be negative.
FALSE
95
Fill in the blank: The **sum** of the exterior angles of any polygon is _______.
360 degrees
96
What is a **line of symmetry**?
A line that divides a figure into two mirror-image halves.
97
Define **complementary events**.
Two events that are mutually exclusive and cover all possible outcomes.
98
What is the **mean** of 7, 14, 21?
The mean is 14.
99
True or false: The **perimeter** of a circle is called the circumference.
TRUE
100
Fill in the blank: The **product** of two negative numbers is _______.
positive
101
What is a **composite function**?
A function formed by applying one function to the results of another.
102
Define **probability distribution**.
A function that describes the likelihood of obtaining the possible values that a random variable can take.
103
What is the **mean** of 2, 4, 6, 8?
The mean is 5.
104
True or false: A **triangle** can have two right angles.
FALSE
105
Fill in the blank: The **sum** of the interior angles of a pentagon is _______.
540 degrees
106
What is a **random variable**?
A variable whose possible values are numerical outcomes of a random phenomenon.
107
Define **sample mean**.
The average of a sample, calculated by summing the sample values and dividing by the sample size.
108
What is the **mean** of 5, 10, 15, 20?
The mean is 12.5.
109
True or false: The **area** of a rectangle is always greater than zero.
TRUE
110
Fill in the blank: The **sum** of the angles in a hexagon is _______.
720 degrees
111
What is a **discrete random variable**?
A random variable that can take on a countable number of values.
112
Define **continuous data**.
Data that can take any value within a given range.
113
What is the **mean** of 1, 2, 3, 4, 5?
The mean is 3.
114
True or false: A **circle** has a finite number of diameters.
FALSE
115
Fill in the blank: The **sum** of the angles in an octagon is _______.
1080 degrees
116
What is a **probability tree**?
A diagram that shows the possible outcomes of a series of events.
117
Define **independent events**.
Events where the outcome of one event does not affect the outcome of another.
118
What is the **mean** of 10, 20, 30, 40?
The mean is 25.
119
True or false: A **rectangle** can be a square.
TRUE
120
Fill in the blank: The **sum** of the angles in a decagon is _______.
1440 degrees
121
What is a **binomial distribution**?
A probability distribution that summarizes the likelihood that a value will take on one of two independent values.
122
Define **mean deviation**.
The average of the absolute deviations from the mean.
123
What is the **mean** of 3, 6, 9, 12?
The mean is 7.5.
124
True or false: The **perimeter** of a triangle is the sum of its sides.
TRUE
125
Fill in the blank: The **sum** of the angles in a nonagon is _______.
1260 degrees
126
What is a **normal distribution**?
A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent.
127
Define **z-score**.
The number of standard deviations a data point is from the mean.
128
What is the **mean** of 1, 2, 3, 4, 5, 6?
The mean is 3.5.
129
True or false: A **triangle** can have three obtuse angles.
FALSE
130
Fill in the blank: The **sum** of the angles in a dodecagon is _______.
1800 degrees
131
What is a **geometric distribution**?
A probability distribution that models the number of trials needed for the first success.
132
Define **confidence interval**.
A range of values derived from a data set that is likely to contain the true value of an unknown population parameter.
133
What is the **mean** of 2, 4, 6, 8, 10?
The mean is 6.
134
True or false: The **area** of a circle increases with the square of the radius.
TRUE
135
Fill in the blank: The **sum** of the angles in a heptagon is _______.
900 degrees
136
What is a **uniform distribution**?
A probability distribution in which all outcomes are equally likely.
137
Define **sample variance**.
The average of the squared differences from the mean in a sample.
138
What is the **mean** of 5, 10, 15, 20, 25?
The mean is 15.
139
True or false: A **circle** can have a radius of zero.
TRUE
Physics
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