Mathematics (125 Questions) Flashcards
(125 cards)
1
Q
What is the order of operations?
A
Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)
2
Q
Solve: 3² + 4 × 2 - 1
A
16
3
Q
What is 7/12 + 5/12?
A
12/12 = 1
4
Q
Convert 3.75 to a mixed number
A
3¾
5
Q
What is 2⅓ × 1½?
A
3½
6
Q
Solve: 0.6 ÷ 0.3
A
2
7
Q
What is 35% of 200?
A
70
8
Q
Convert 7/20 to a percentage
A
35%
9
Q
What is the decimal equivalent of 5/8?
A
0.625
10
Q
Round 15.847 to the nearest hundredth
A
15.85
11
Q
What is the absolute value of -12?
A
12
12
Q
Solve: -5 + (-3)
A
-8
13
Q
Solve: -8 - (-4)
A
-4
14
Q
What is (-3) × (-7)?
A
21
15
Q
Solve: -15 ÷ 3
A
-5
16
Q
What is the least common multiple of 6 and 8?
A
24
17
Q
What is the greatest common factor of 18 and 24?
A
6
18
Q
Is 91 a prime number?
A
No
91 = 7 × 13
19
Q
What are the prime factors of 60?
A
2² × 3 × 5
20
Q
Solve for x: 3x + 5 = 20
A
x = 5
21
Q
Solve for y: 2y - 7 = 11
A
y = 9
22
Q
Solve for z: z/4 = 12
A
z = 48
23
Q
What is the slope of the line passing through (2,3) and (6,11)?
A
2
24
Q
What is the y-intercept of y = 3x - 7?
A
-7
25
What is the equation of a line with slope 4 and y-intercept -2?
y = 4x - 2
26
Solve the system: x + y = 10, x - y = 2
x = 6, y = 4
27
Factor: x² - 9
(x + 3)(x - 3)
28
Factor: x² + 5x + 6
(x + 2)(x + 3)
29
Solve: x² - 4 = 0
x = ±2
30
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / 2a
31
What is √144?
12
32
What is ∛27?
3
33
Simplify: √50
5√2
34
What is 4³?
64
35
What is 2⁻³?
1/8
36
Simplify: (x³)²
x⁶
37
Simplify: x⁴ ÷ x²
x²
38
What is log₂(8)?
3
39
What is ln(e)?
1
40
Convert 2.5 kilometers to meters
2,500 meters
41
Convert 750 milliliters to liters
0.75 liters
42
Convert 80 ounces to pounds
5 pounds
43
How many inches are in 2.5 feet?
30 inches
44
Convert 60 mph to feet per second
88 feet per second
45
What is the area of a rectangle with length 15 cm and width 8 cm?
120 cm²
46
What is the perimeter of a square with side length 12 inches?
48 inches
47
What is the area of a triangle with base 10 cm and height 8 cm?
40 cm²
48
What is the circumference of a circle with radius 6 cm? (Use π = 3.14)
37.68 cm
49
What is the area of a circle with diameter 10 cm? (Use π = 3.14)
78.5 cm²
50
What is the volume of a cube with side length 5 cm?
125 cm³
51
What is the volume of a cylinder with radius 3 cm and height 8 cm? (Use π = 3.14)
226.08 cm³
52
What is the surface area of a cube with side length 4 cm?
96 cm²
53
What is the Pythagorean theorem?
a² + b² = c²
54
Find the hypotenuse of a right triangle with legs 3 and 4
5
55
What is sin(30°)?
1/2
56
What is cos(60°)?
1/2
57
What is tan(45°)?
1
58
In a right triangle, what is the relationship between the sides?
The sum of squares of legs equals the square of the hypotenuse
59
What is the sum of angles in a triangle?
180°
60
What is the sum of angles in a quadrilateral?
360°
61
What is a regular polygon?
A polygon with all sides and angles equal
62
How many sides does a hexagon have?
6
63
How many sides does an octagon have?
8
64
What is the interior angle of a regular pentagon?
108°
65
What is the mean of: 5, 8, 12, 15, 20?
12
66
What is the median of: 3, 7, 9, 12, 15?
9
67
What is the mode of: 2, 5, 5, 8, 5, 10?
5
68
What is the range of: 4, 9, 2, 15, 7?
13
69
If a coin is flipped twice, what's the probability of getting two heads?
1/4
70
What is the probability of rolling a 6 on a standard die?
1/6
71
What is the probability of drawing a red card from a standard deck?
1/2
72
In a group of 30 students, 18 play soccer. What percentage play soccer?
60%
73
If 40% of 250 students are female, how many are female?
100
74
A recipe calls for 2 cups of flour for 12 cookies. How much flour for 18 cookies?
3 cups
75
If a car travels 240 miles in 4 hours, what is its average speed?
60 mph
76
Solve the proportion: 3/5 = x/15
x = 9
77
If 5 pencils cost $2.50, how much do 8 pencils cost?
$4.00
78
What is 150% of 80?
120
79
A shirt originally costs $40 and is 25% off. What is the sale price?
$30
80
If an item increases from $50 to $65, what is the percent increase?
30%
81
Simple interest formula is I = PRT. If P = $1000, R = 5%, T = 2 years, what is I?
$100
82
What is compound interest?
Interest calculated on principal plus previously earned interest
83
If $500 is invested at 4% annual interest compounded annually for 2 years, what is the amount?
$540.80
84
Convert 3/5 to a decimal and percentage
0.6 and 60%
85
What is the scientific notation for 0.00045?
4.5 × 10⁻⁴
86
What is the scientific notation for 23,000?
2.3 × 10⁴
87
Calculate: (3 × 10³) × (2 × 10²)
6 × 10⁵
88
Calculate: (8 × 10⁶) ÷ (4 × 10²)
2 × 10⁴
89
What is the distance formula?
d = √[(x₂-x₁)² + (y₂-y₁)²]
90
Find the distance between (1,2) and (4,6)
5
91
What is the midpoint formula?
((x₁+x₂)/2, (y₁+y₂)/2)
92
Find the midpoint between (2,4) and (8,10)
(5,7)
93
What is the standard form of a linear equation?
Ax + By = C
94
What is the slope-intercept form?
y = mx + b
95
What is the point-slope form?
y - y₁ = m(x - x₁)
96
If f(x) = 2x + 3, what is f(5)?
13
97
What is the domain of f(x) = 1/x?
All real numbers except x = 0
98
What is the range of f(x) = x²?
All real numbers ≥ 0
99
What is an asymptote?
A line that a graph approaches but never touches
100
What is the vertex of y = x² - 4x + 3?
(2, -1)
101
What is the axis of symmetry of y = x² - 6x + 5?
x = 3
102
Solve: |x - 3| = 7
x = 10 or x = -4
103
Solve: |2x + 1| < 5
-3 < x < 2
104
What is the inequality notation for 'x is greater than 5'?
x > 5
105
Solve: 2x + 5 > 11
x > 3
106
Graph the inequality: y ≤ 2x + 1
Solid line y = 2x + 1, shade below
107
What is the solution to the system: x + y > 3, x - y < 1?
The region where both inequalities are satisfied
108
What is a matrix?
A rectangular array of numbers
109
What is the determinant of [2 3; 1 4]?
5
110
What is scalar multiplication of a matrix?
Multiplying each element by the same number
111
What is matrix addition?
Adding corresponding elements
112
What is the identity matrix?
A square matrix with 1s on the diagonal and 0s elsewhere
113
What is a sequence?
An ordered list of numbers
114
What is an arithmetic sequence?
A sequence with a constant difference between terms
115
Find the 10th term of the arithmetic sequence: 3, 7, 11, 15, ...
39
116
What is a geometric sequence?
A sequence with a constant ratio between terms
117
Find the 5th term of the geometric sequence: 2, 6, 18, 54, ...
162
118
What is the sum of the first n terms of an arithmetic sequence?
S = n/2(first term + last term)
119
What is a series?
The sum of terms in a sequence
120
What is factorial notation?
n! = n × (n-1) × (n-2) × ... × 1
121
What is 5!?
120
122
What is the combination formula?
C(n,r) = n!/(r!(n-r)!)
123
How many ways can you choose 3 items from 5?
10
124
What is the permutation formula?
P(n,r) = n!/(n-r)!
125
How many ways can you arrange 3 items from 5?
60
