A Flashcards

(71 cards)

1
Q

What is the formula for the area of a triangle?

A

Area = 1/2 * base * height

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2
Q

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

A

True

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3
Q

Fill in the blank: The Pythagorean theorem states that a² + b² = ____.

A

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4
Q

What is the value of π (pi) approximately?

A

3.14

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5
Q

What is the highest common factor (HCF) of 12 and 16?

A

4

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6
Q

What is the formula for the circumference of a circle?

A

Circumference = 2 * π * radius

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7
Q

What is the probability of flipping a coin and getting heads?

A

1/2

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8
Q

What is the quadratic formula?

A

x = (-b ± √(b² - 4ac)) / 2a

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9
Q

True or False: A square is a type of rectangle.

A

True

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10
Q

What is the formula for the volume of a cylinder?

A

Volume = π * radius² * height

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11
Q

What is the mean of the numbers 2, 4, 6, 8?

A

5

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12
Q

What does the term ‘median’ refer to in a data set?

A

The middle value when the numbers are arranged in order.

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13
Q

Fill in the blank: The sum of the interior angles of a polygon with n sides is ____ degrees.

A

(n - 2) * 180

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14
Q

What is the formula for the area of a rectangle?

A

Area = length * width

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15
Q

What is 15% of 200?

A

30

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16
Q

True or False: A right angle measures 90 degrees.

A

True

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17
Q

What is the slope of a line represented by the equation y = 3x + 2?

A

3

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18
Q

What is the formula for converting Celsius to Fahrenheit?

A

F = (C * 9/5) + 32

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19
Q

What is the least common multiple (LCM) of 3 and 4?

A

12

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20
Q

Fill in the blank: The area of a circle is given by the formula ____.

A

Area = π * radius²

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21
Q

What is the range of the data set: 2, 5, 8, 10?

A

8

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22
Q

What is the standard deviation a measure of?

A

The amount of variation or dispersion in a set of values.

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23
Q

True or False: The product of two negative numbers is positive.

A

True

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24
Q

What is the value of 7 factorial (7!)?

A

5040

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25
What is a prime number?
A number greater than 1 that has no positive divisors other than 1 and itself.
26
What is the equation of a straight line in slope-intercept form?
y = mx + b
27
Fill in the blank: In statistics, an outlier is a value that is significantly ____ from the other values in a data set.
different
28
What is the formula for the surface area of a sphere?
Surface Area = 4 * π * radius²
29
What is the definition of a function?
A relation where each input has exactly one output.
30
What is the area of a square with side length 5?
25
31
What is the probability of rolling a 3 on a standard six-sided die?
1/6
32
True or False: The product of a number and zero is always zero.
True
33
What is the formula for the volume of a rectangular prism?
Volume = length * width * height
34
What is the solution to the equation 2x + 3 = 7?
x = 2
35
Fill in the blank: The term 'mean' refers to the ____ of a data set.
average
36
What is the distance formula in a coordinate plane?
Distance = √((x2 - x1)² + (y2 - y1)²)
37
What is the formula for the area of a trapezium?
Area = 1/2 * (base1 + base2) * height
38
What is an acute angle?
An angle that measures less than 90 degrees.
39
What is the formula for the sum of an arithmetic series?
Sum = n/2 * (first term + last term)
40
True or False: The median is always one of the numbers in the data set.
False
41
What is the value of x in the equation 3x - 9 = 0?
x = 3
42
What is the formula for the circumference of a circle?
Circumference = π * diameter
43
Fill in the blank: In a right triangle, the side opposite the right angle is called the ____.
hypotenuse
44
What is a composite number?
A number that has more than two positive divisors.
45
What is the fundamental theorem of arithmetic?
Every integer greater than 1 can be expressed uniquely as a product of prime factors.
46
What is the derivative of a constant?
0
47
What is the slope of a horizontal line?
0
48
True or False: The sum of two even numbers is always even.
True
49
What is the formula for finding the area of a parallelogram?
Area = base * height
50
What is the volume of a cube with side length 4?
64
51
Fill in the blank: The x-intercept of a line is where the line crosses the ____ axis.
x
52
What is the definition of a chord in a circle?
A straight line segment whose endpoints lie on the circle.
53
What is the least common multiple (LCM) of 5 and 10?
10
54
What is the formula for the area of a sector of a circle?
Area = (θ/360) * π * radius²
55
What is the definition of a tangent to a circle?
A line that touches the circle at exactly one point.
56
True or False: A rhombus is a type of parallelogram.
True
57
What is the formula for the surface area of a cylinder?
Surface Area = 2 * π * radius * (radius + height)
58
What is the sum of the angles in a quadrilateral?
360 degrees
59
What is the definition of a reciprocal?
The multiplicative inverse of a number.
60
What is the probability of drawing an ace from a standard deck of cards?
4/52 or 1/13
61
What is the volume of a cone?
Volume = (1/3) * π * radius² * height
62
Fill in the blank: The term 'outlier' refers to a value that is ____ from the others in a data set.
far
63
What is the formula for the perimeter of a rectangle?
Perimeter = 2 * (length + width)
64
What is the distance between the points (3, 4) and (7, 1)?
5
65
True or False: A circle has an infinite number of lines of symmetry.
True
66
What is the area of a semicircle with a radius of 3?
14.13
67
What is the definition of a histogram?
A graphical representation of the distribution of numerical data.
68
What is the formula for the area of a trapezoid?
Area = 1/2 * (base1 + base2) * height
69
What is the formula for calculating the percentage?
Percentage = (part/whole) * 100
70
What is the value of 2 raised to the power of 3?
8
71
What is a sample space in probability?
The set of all possible outcomes of an experiment.