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The RC Rizz > Math Practice Problems > Flashcards

Math Practice Problems Flashcards

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1
Q

When a coin is flipped, what is the probability of it showing heads?

A

50%

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2
Q

When choosing cards from a standard deck of cards, what is the probability of drawing a face card?

A

23.1%, 0.231, 3:13, 3/13

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3
Q

When rolling a dice, what is the probability of rolling a number divisible by 3?

A

1/3, 1:3, 33%, 0.33

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4
Q

A dice is rolled 50 times. It rolls a 4 a total of 10 times. Is this experimental or theoretical probability? (if it was asking for the probability)

A

Experimental Probability

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5
Q

A dice is rolled 50 times. It rolls a 4 a total of 10 times. What is the probability of rolling a 4?

A

20%

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6
Q

What is P(A’), given that P(A) = 1/6?

A

P(A’) = 5/6

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7
Q

What is P(A), given that P(A’) = 4/5?

A

P(A) = 1/5

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8
Q

A dice is rolled 2 times. Are these independent or dependent events?

A

Independent, the first roll doesn’t affect the second one

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9
Q

What is the probability of winning a game, if you have to roll a 6 on a dice and a 6 from a deck of cards?

A

P(A) * P(B) = 1/6 * 1/13 = 1/78
1/78

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10
Q

The probability of drawing two kings from a deck of cards without replacing the first. Are these independent or dependent events?

A

Dependent, because the first card is not being replaced

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11
Q

What is the probability of drawing 2 kings from a deck of cards without replacing them?

A

P(A) = 1/13, P(B|A) = 1/17
1/13 * 1/17 = 1/221

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12
Q

The probability of drawing two green marbles out of a bag without replacing them. Are these events independent or dependent?

A

Dependent, because the first marble is not being replaced

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13
Q

What is the probability of drawing two green marbles out of a bag without replacing them? The bag has 6 green marbles and 8 red marbles.

A

P(A) = 3/7. P(B|A) = 5/13
3/7 * 5/13 = 15/91

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14
Q

What type of event is this? The probability of drawing a queen or a king.

A

mutually exclusive events

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15
Q

What is the probability of drawing a king or queen?

A

P(A or B) = P(A) + P(B)
1/13 + 1/13 = 2/13

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16
Q

Keywords like arrangement, ordered, and unique indicate usually indicate permutations or combinations?

A

permutations

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17
Q

Keywords like choose, pick, and select indicate permutations or combinations?

A

combinations

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18
Q

An ice cream shop offers 12 flavors of ice cream and 8 different topping options. How many ice creams can you make with 1 flavor and 1 topping?

A

m * n = 12 * 8
96 different ice creams

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19
Q

You can choose between 2 types of bread, 3 types of meat, and 3 types of cheese. How many different sandwiches can you make with 1 bread, 1 cheese, and 1 meat?

A

m * n * l = 2 * 3 * 3
18 different sandwiches

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20
Q

Calculate 2!

A

2

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21
Q

Calculate 3!

A

6

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22
Q

Calculate 4!

A

24

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23
Q

Calculate 5!

A

120

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24
Q

Calculate 6!

A

720

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25
Calculate 7!
5040
26
Calculate 8!
40320
27
Calculate 9!
362880
28
Calculate 10!
3628800
29
Calculate 6!/4!
30
30
Calculate 8!/4!
1680
31
How many different ways can Maria, Josh, Sara, and Olivia be awarded 1st, 2nd, and 3rd in a race?
4P3 = 24 THIS IS A PERMUTATION
32
Naomi has 10 horses and she wants to ride 6 of them in a specific order. How many different ways can Naomi ride 6 of the 10 horses each day?
10P6 = 151,200
33
You have 5 friends but can only take 3 to the concert. How many different ways can you choose a group of friends?
5C3 = 10
34
A coach has 9 players signed up, but can only choose 5. How many different teams sets of teams can he have?
9C5 = 126
35
If a dice is rolled, what is the probability of it rolling 2 or less?
1/3, mutually exclusive events: 1/6 + 1/6
36
What is the probability of a dice showing 4 both times if it is rolled twice?
1/36, independent events, 1/6*1/6
37
A restaurant offers 3 salads, 7 main dishes, 4 sides, and 6 desserts. How many different 4-course meals can be selected?
504, fundamental counting principle, 4 * 3* 6 * 7
38
How many different groups of 3 people can be chosen from 9?
84, combinations, 9C3
39
A student scores 73%, 88%, 79%, 81%, 93%, and 96%. What is the mean of these scores?
73+88+79+81+93+96 = 510, 510/6=85 85% is the mean test score
40
What is the median of {52, 14, 23, 36, 60, 14, 45, 39}?
37.5
41
What is the mode of {2, 2, 3, 4, 6, 7, 7, 7, 7, 8, 9, 9}?
7
42
What is the mode of {53, 56, 92, 4, 88, 3, 10, 0.00001, 3, 50, 0.00019}?
3
43
A clothing store sold 16, 22, 14, 32, 28, 46, and 52 shirts over 7 days. What is the range?
38
44
A clothing store sold 16, 22, 14, 32, 28, 46, and 52 shirts over 7 days. What is the median?
28
45
A clothing store sold 16, 22, 14, 32, 28, 46, and 52 shirts over 7 days. What is the mode?
there is no mode
46
A clothing store sold 16, 22, 14, 32, 28, 46, and 52 shirts over 7 days. What is the mean?
30
47
What is the outlier in this data set? {104, 102, 108, 101, 107, 42, 110}
42
48
What is the outlier in this data set? {53, 56, 52, 54, 58, 63, 60, 01, 63, 50}?
1
49
In my book club, I asked the students their ages. They were 18, 18, 20, 21, 58, 27, 24, and 28. Which age is the outlier?
58
50
In a stem-and-leaf plot, what would 6 | 3, 6, 8, 9 be?
{63, 66, 68, 69}
51
In a stem-and-leaf plot, what would 10 | 0, 4 be?
{100, 104}
52
In a stem-and-leaf plot, what would 7 | 4, 5, 9 be?
{74, 75, 79}
53
In a stem-and-leaf plot, what would 8 | 1, 4, 4, 8 be?
{81, 84, 84, 88}
54
In a stem-and-leaf plot, what would 9 | 0, 2, 5, 5, 5, 7 be?
{90, 92, 95, 95, 95, 97}
55
What is the mode of this set? 3|5, 6, 6, 6, 7, 7, 8, 8, 9, 9
36
56
What is the IQR when Q1 = 80 and Q3 = 125?
IQR = 45
57
What is the IQR when Q1 = 70 and Q3 = 90?
IQR = 20
58
What is the range when the upper extreme is 95 and the lower extreme is 65?
30
59
What is the correlation if the line of best fit is going down?
negative correlation
60
What is the correlation if the line of best fit is going up?
positive correlation
61
What is the correlation if there is no line of best fit?
no correlation
62
Each day, the height of a plant increases. What type of correlation is represented in this situation?
positive correlation
63
Each day, the height of a plant increases. What would x represent in this scenario?
the number of days
64
Each day, the height of a plant increases. What would y represent in this scenario?
the height of the plant
65
What is the next term in this sequence: 3, 6, 9, 12, ...?
15
66
What is the next term in this sequence: 1, 3, 9, 27, ...?
81
67
What type of sequence is this sequence: 1, 3, 9, 27, ...?
a geometric sequence
68
What type of sequence is this sequence: 3, 6, 9, 12, ...?
an arithmetic sequence
69
Write the next 4 terms in this sequence. 3, 7, 11, 15, ....
19, 23, 27, 31
70
Write the next 3 terms in this sequence. 256, 128, 64, ...
32, 16, 8
71
What is the mean of this set of data? {19, 5, 9, 12, 10, 5}
10
72
What is the median of this set of data? {19, 5, 9, 12, 10, 5}
9.5
73
What is the mode of this set of data? {19, 5, 9, 12, 10, 5}
5
74
What is the range of this set of data? {19, 5, 9, 12, 10, 5}
14
75
What is the mean of this set of data? {4, 8, 17, 16, 23, 7, 16, 7, 19}
13
76
What is the median of this set of data? {4, 8, 17, 16, 23, 7, 16, 7, 19}
16
77
What is the mode of this set of data? {4, 8, 17, 16, 23, 7, 16, 7, 19}
7 and 16
78
What is the range of this set of data? {4, 8, 17, 16, 23, 7, 16, 7, 19}
19
79
What is the median of this set of data? {38, 47, 56, 38, 56, 44, 48, 55, 42, 38, 36, 38}
43
80
What is the mode of this set of data? {38, 47, 56, 38, 56, 44, 48, 55, 42, 38, 36, 38}
38
81
What is the range of this set of data? {38, 47, 56, 38, 56, 44, 48, 55, 42, 38, 36, 38}
20
82
What is the median of this set of data? {3, 56, 75, 68, 81, 82, 4, 54}
62
83
What is the range of this set of data? {3, 56, 75, 68, 81, 82, 4, 54}
79
84
What is the mode of this set of data? {3, 56, 75, 68, 81, 82, 4, 54}
none
85
What is the outlier of this data set? {80, 84, 92, 98, 81, 51, 87, 88, 95, 98}
51
86
What would you write to say 6 is an element of {3, 6, 9}?
6 ∈ {3, 6, 9}
87
{1, 2, 3} ∪ {3, 4, 5} = ?
{1, 2, 3, 4, 5}
88
{1, 2, 3} ∩ {2, 3, 4, 5} = ?
{2, 3}
89
{2, 4, 6, 8, 10, 12} ∩ {3, 6, 9, 12} = ?
{6, 12}
90
What types of numbers are these: π and sqrt3?
irrational numbers
91
What types of numbers are these: 12/18, -0.522, 2/3?
rational numbers
92
Place these numbers from least to greatest. -0.9, 1/2, 0.834, 4/6, 4/18
-0.9, 4/18, 1/2, 4/6, 0.834
93
Which of the following from this set is rational? {sqrt2, π, 1/2, sqrt8, 0.03030030003}
1/2
94
Select the numbers that are prime: 17, 18, 19, 20, 21, 22, 23, 24, 25.
17, 19, 23
95
Select the numbers that are composite: 31, 32, 33, 34, 35, 36, 37, 38, 39, 40.
32, 33, 34, 35, 36, 38, 39, 40
96
What is the prime factorization of 20?
2 * 2 * 5
97
What is the prime factorization of 36?
2 * 2 * 3 * 3
98
What is the GCF of 24 and 36?
12
99
What is the base of 5^3?
5
100
What is the base of 4^9?
4
101
What is 5^0?
1
102
What is 200^0?
1
103
What is 3^4?
81
104
What is 5^4?
625
105
What is 8^2?
64
106
What is 6^-2?
1/36
107
What is 5^2 * 5^4? (answer in exponent form)
5^6
108
√36?
6
109
√144
12
110
√36a^2b^8
6ab^4
111
Simplify √27
3√3
112
Cube root of 64?
4
113
Write the algebraic expression for the sum of 3 and a number.
x + 3
114
Write the algebraic expression for a number multiplied by 5.
5x
115
Solve 2 + 3x if x = 4.
14
116
Solve 6m + 8/n if m = 3 and n = 4.
20
117
Solve x - 6 = 24.
x = 30
118
Solve 3x + 4 = 19.
x = 5
119
Solve for Q when QP - X = Y.
Q = (Y + X)/P
120
What is the slope of this equation? y = 5x + 8
5
121
What is the y-intercept of this equation? y = 5x + 8
8
122
If 7 is to 21 as x is to 12. Solve for x.
x = 4
123
If it takes 4 eggs to make 48 cookies, then how many cookies can be made with 5 eggs?
60 cookies
124
What type of algebraic expression is 9x?
monomial
125
What type of algebraic expression is 4a^2?
monomial
126
What type of algebraic expression is 3mpxz?
monomial
127
Simplify (-9m^2)s + (5m^2)s.
(-4m^2)s
128
Simplify (a + b)(c + d).
ac + ad + bc + bd
129
Simplify (3x - 1)(2x + 7).
6x^2 + 19x - 7
130
What is the greatest common monomial factor of 5x^5 - 70x^3?
5x^3
131
Factor 5x^5 - 70x^3.
5x^3 * (x^2-14)
132
Factor x^2 - 144.
(x - 12)(x + 12)
133
Factor 4x^7 - 64x^5.
4x^5 * (x - 4)(x + 4)
134
Factor 12x^3 - 60x^2 + 75x.
3x * (2x- 5)^2
135
Factor x^2 - 3x + 2.
(x - 1)(x - 2)
136
Factor 3x^3 - 6x^2 - 45x.
3x * (x - 5)(x + 3)
137
Factor 7x^2 + 9x + 2.
(x + 1)(7x + 2)
138
Factor 18x^3 - 39x^2 - 15x.
3x * (2x - 5)(3x + 1)
139
Solve x^2 - 6x = 16. x^2 - 6x -16 = 0
x = 8, x = -2
140
Solve for x when 2x + 4 > 6.
x > 1
141
Is 20% rational or irrational?
rational
142
Is 70 prime or composite?
composite
143
Is 80 prime or composite?
composite
144
What is the GCF of 75 and 100?
25
145
{4, 5, 6, 7} ∩ {6, 7, 8, 9, 10, 11} = | Hint: Famous Meme and height of Luka Doncic. - Andrew
{6, 7}
146
Simplify 7^-3.
1/7^3
147
Simplify √50.
5√2
148
Express five increased by three times x algebraically.
5 + 3x
149
Find the slope of this line: y = -4x + 8.
-4
150
Find the y-intercept of this line: y = -4x + 8.
8, or (0,8)

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