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Maths Flashcards

(90 cards)

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1
Q

What is the value of x in the equation 2x + 3 = 11?

A

x = 4

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2
Q

True or False: The sum of the angles in a triangle is always 180 degrees.

A

True

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3
Q

What is the formula for the area of a rectangle?

A

Area = length × width

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4
Q

Fill in the blank: The slope of a line is calculated as the change in _____ divided by the change in _____.

A

y, x

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5
Q

What is the Pythagorean theorem?

A

a² + b² = c²

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6
Q

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

A

Yes

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7
Q

What is the circumference of a circle with a radius of 7?

A

Circumference = 2πr = 14π

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8
Q

What is the median of the following set of numbers: 3, 7, 9, 15, 21?

A

9

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9
Q

True or False: A prime number has exactly two distinct positive divisors.

A

True

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10
Q

What is the probability of rolling a sum of 7 with two six-sided dice?

A

6/36 or 1/6

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11
Q

What is the formula for the volume of a cylinder?

A

Volume = πr²h

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12
Q

If f(x) = 2x + 3, what is f(2)?

A

f(2) = 7

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13
Q

What is the greatest common factor (GCF) of 12 and 16?

A

4

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14
Q

What is the least common multiple (LCM) of 3 and 5?

A

15

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15
Q

Fill in the blank: In a function, the _____ variable is the output, while the _____ variable is the input.

A

dependent, independent

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16
Q

What is the distance formula between two points (x1, y1) and (x2, y2)?

A

Distance = √((x2 - x1)² + (y2 - y1)²)

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17
Q

What is the coefficient in the expression 5x² + 3x - 7?

A

5

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18
Q

True or False: The expression x² - 4 can be factored as (x - 2)(x + 2).

A

True

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19
Q

What is the formula for the area of a triangle?

A

Area = 1/2 × base × height

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20
Q

What is the value of the expression 3(4 + 5) - 2?

A

25

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21
Q

What are complementary angles?

A

Two angles that add up to 90 degrees.

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22
Q

What is the slope of the line represented by the equation y = 2x + 1?

A

2

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23
Q

What is the quadratic formula?

A

x = (-b ± √(b² - 4ac)) / (2a)

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24
Q

Fill in the blank: A _____ is a number that can be expressed as a fraction of two integers.

A

rational number

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25
What is the result of 8 ÷ 2(2 + 2)?
16
26
What is the area of a circle with a radius of 5?
Area = 25π
27
True or False: A square is a type of rectangle.
True
28
What is the formula for converting Celsius to Fahrenheit?
F = (C × 9/5) + 32
29
What is the first step in solving the equation 3x - 9 = 0?
Add 9 to both sides.
30
What does the term 'mean' refer to in statistics?
The average of a set of numbers.
31
What is the formula for the surface area of a rectangular prism?
Surface Area = 2lw + 2lh + 2wh
32
What is an integer?
A whole number that can be positive, negative, or zero.
33
What is the probability of flipping a coin and getting heads?
1/2
34
What is the value of 5²?
25
35
Fill in the blank: The _____ is the middle number in an ordered set of numbers.
median
36
What does it mean for two lines to be parallel?
They never intersect and have the same slope.
37
What is the formula for the area of a trapezoid?
Area = 1/2 × (base1 + base2) × height
38
What is a rational number?
A number that can be expressed as a fraction.
39
True or False: The product of two negative numbers is positive.
True
40
What is the difference between the mean and the median?
The mean is the average; the median is the middle value.
41
What is the solution to the equation x² - 9 = 0?
x = 3 or x = -3
42
What is the formula for the perimeter of a rectangle?
Perimeter = 2(length + width)
43
What is an outlier in a data set?
A value that is significantly different from the others.
44
What is the value of 7! (7 factorial)?
5040
45
Fill in the blank: The _____ of a number is its distance from zero on a number line.
absolute value
46
What is the value of x in the equation 2x + 3 = 11?
x = 4
47
True or False: The sum of the angles in a triangle is always 180 degrees.
True
48
What is the formula for the area of a rectangle?
Area = length × width
49
Fill in the blank: The slope of a line is calculated as the change in _____ divided by the change in _____.
y, x
50
What is the Pythagorean theorem?
a² + b² = c²
51
If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?
Yes
52
What is the circumference of a circle with a radius of 7?
Circumference = 2πr = 14π
53
What is the median of the following set of numbers: 3, 7, 9, 15, 21?
9
54
True or False: A prime number has exactly two distinct positive divisors.
True
55
What is the probability of rolling a sum of 7 with two six-sided dice?
6/36 or 1/6
56
What is the formula for the volume of a cylinder?
Volume = πr²h
57
If f(x) = 2x + 3, what is f(2)?
f(2) = 7
58
What is the greatest common factor (GCF) of 12 and 16?
4
59
What is the least common multiple (LCM) of 3 and 5?
15
60
Fill in the blank: In a function, the _____ variable is the output, while the _____ variable is the input.
dependent, independent
61
What is the distance formula between two points (x1, y1) and (x2, y2)?
Distance = √((x2 - x1)² + (y2 - y1)²)
62
What is the coefficient in the expression 5x² + 3x - 7?
5
63
True or False: The expression x² - 4 can be factored as (x - 2)(x + 2).
True
64
What is the formula for the area of a triangle?
Area = 1/2 × base × height
65
What is the value of the expression 3(4 + 5) - 2?
25
66
What are complementary angles?
Two angles that add up to 90 degrees.
67
What is the slope of the line represented by the equation y = 2x + 1?
2
68
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / (2a)
69
Fill in the blank: A _____ is a number that can be expressed as a fraction of two integers.
rational number
70
What is the result of 8 ÷ 2(2 + 2)?
16
71
What is the area of a circle with a radius of 5?
Area = 25π
72
True or False: A square is a type of rectangle.
True
73
What is the formula for converting Celsius to Fahrenheit?
F = (C × 9/5) + 32
74
What is the first step in solving the equation 3x - 9 = 0?
Add 9 to both sides.
75
What does the term 'mean' refer to in statistics?
The average of a set of numbers.
76
What is the formula for the surface area of a rectangular prism?
Surface Area = 2lw + 2lh + 2wh
77
What is an integer?
A whole number that can be positive, negative, or zero.
78
What is the probability of flipping a coin and getting heads?
1/2
79
What is the value of 5²?
25
80
Fill in the blank: The _____ is the middle number in an ordered set of numbers.
median
81
What does it mean for two lines to be parallel?
They never intersect and have the same slope.
82
What is the formula for the area of a trapezoid?
Area = 1/2 × (base1 + base2) × height
83
What is a rational number?
A number that can be expressed as a fraction.
84
True or False: The product of two negative numbers is positive.
True
85
What is the difference between the mean and the median?
The mean is the average; the median is the middle value.
86
What is the solution to the equation x² - 9 = 0?
x = 3 or x = -3
87
What is the formula for the perimeter of a rectangle?
Perimeter = 2(length + width)
88
What is an outlier in a data set?
A value that is significantly different from the others.
89
What is the value of 7! (7 factorial)?
5040
90
Fill in the blank: The _____ of a number is its distance from zero on a number line.
absolute value

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