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Arithmetic Reasoning

1
Q

What are the fundamental operations in arithmetic?

A

Addition, subtraction, multiplication, and division.

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2
Q

What does PEMDAS stand for?

A

Parentheses, Exponents, Multiplication & Division, Addition & Subtraction.

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3
Q

What does ‘sum’ mean in mathematical terms?

A

‘Sum’ means addition (+).

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4
Q

What does ‘difference’ mean in mathematical terms?

A

‘Difference’ means subtraction (-).

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5
Q

What does ‘product’ mean in mathematical terms?

A

‘Product’ means multiplication (×).

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6
Q

What does ‘quotient’ mean in mathematical terms?

A

‘Quotient’ means division (÷).

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7
Q

How do you convert a fraction to a decimal?

A

Divide the numerator by the denominator.

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8
Q

How do you convert a decimal to a percentage?

A

Multiply by 100.

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9
Q

How do you simplify fractions?

A

Divide both the numerator and denominator by their greatest common factor.

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10
Q

What is the process for adding or subtracting fractions?

A

Find a common denominator before adding or subtracting.

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11
Q

How do you multiply fractions?

A

Multiply the numerators together and denominators together.

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12
Q

How do you divide fractions?

A

Invert the second fraction (reciprocal) and multiply.

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13
Q

How do you set up proportions?

A

Two ratios are set equal to each other and solved using cross-multiplication.

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14
Q

How do you solve for an unknown in a proportion?

A

Set up a proportion and solve for X.

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15
Q

What is the formula for finding percentages?

A

(Part ÷ Whole) × 100 = Percentage.

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16
Q

How do you calculate a percentage increase?

A

New Value = Original + (Original × % Increase).

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17
Q

How do you calculate a percentage decrease?

A

New Value = Original - (Original × % Decrease).

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18
Q

What is the formula for the mean (average)?

A

Sum of all values ÷ Number of values.

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19
Q

How do you find the median?

A

The middle number in an ordered set.

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20
Q

What is the mode?

A

The most frequently occurring number in a set.

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21
Q

What is the formula for distance?

A

Distance = Rate × Time (D = R × T).

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22
Q

How do you solve for rate?

A

Rate = Distance ÷ Time.

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23
Q

How do you solve for time?

A

Time = Distance ÷ Rate.

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24
Q

What is the probability formula?

A

Favorable Outcomes ÷ Total Outcomes.

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25
What is the probability of rolling a 4 on a 6-sided die?
1/6.
26
How do you calculate the probability of multiple independent events?
Multiply the probabilities of each event occurring.
27
What is the perimeter formula for a rectangle?
Perimeter = 2L + 2W.
28
What is the area formula for a rectangle?
Area = L × W.
29
What is the area formula for a triangle?
Area = (1/2) × Base × Height.
30
What is the perimeter formula for a square?
Perimeter = 4 × Side.
31
What is the area formula for a square?
Area = Side².
32
How do you isolate X in an algebraic equation?
Use inverse operations.
33
What is the key formula for percentage?
(Part/Whole) × 100 = Percentage.
34
What is the key formula for distance?
D = R × T.
35
What is the key formula for average?
(Sum of terms) ÷ (Number of terms) = Mean.
36
What is the key formula for probability?
Favorable Outcomes ÷ Total Outcomes.
37
What is the area formula for a rectangle?
A = Length × Width.
38
What is the area formula for a triangle?
A = (1/2) × Base × Height.
39
What is a study tip for ASVAB preparation?
Practice Word Problems Daily.
40
What is another study tip for ASVAB preparation?
Break Down Problems Step by Step.
41
What is a key study tip for memorization?
Memorize Key Formulas.
42
What is a suggested study method?
Use Flashcards for Terms & Formulas.
43
What is a recommended practice strategy?
Take Timed Practice Tests.
44
How many times will a tire rotate in half an hour if it rotates 552 times in one minute?
16,560 rotations.
45
In a town of 810, how many vote for party B if 1 in 9 votes for party A?
720 people vote for party B.
46
What is the value of a motorcycle after 12% depreciation from $7,250?
$6,380.
47
How many gallons of water comes out in 7 seconds if 20 gallons come out in 5 seconds?
28 gallons.
48
What is the probability of rolling an even number on a fair 6-sided die?
1/2 or 50%.
49
What is the probability of drawing a blue ball from a bag containing 4 red, 3 blue, and 5 green balls?
1/4 or 25%.
50
What are the fundamental operations in arithmetic?
Addition, subtraction, multiplication, and division.
51
What does PEMDAS stand for?
Parentheses, Exponents, Multiplication & Division, Addition & Subtraction.
52
What does 'sum' mean in mathematical terms?
'Sum' means addition (+).
53
What does 'difference' mean in mathematical terms?
'Difference' means subtraction (-).
54
What does 'product' mean in mathematical terms?
'Product' means multiplication (×).
55
What does 'quotient' mean in mathematical terms?
'Quotient' means division (÷).
56
How do you convert a fraction to a decimal?
Divide the numerator by the denominator.
57
How do you convert a decimal to a percentage?
Multiply by 100.
58
How do you simplify fractions?
Divide both the numerator and denominator by their greatest common factor.
59
What is the process for adding or subtracting fractions?
Find a common denominator before adding or subtracting.
60
How do you multiply fractions?
Multiply the numerators together and denominators together.
61
How do you divide fractions?
Invert the second fraction (reciprocal) and multiply.
62
How do you set up proportions?
Two ratios are set equal to each other and solved using cross-multiplication.
63
How do you solve for an unknown in a proportion?
Set up a proportion and solve for X.
64
What is the formula for finding percentages?
(Part ÷ Whole) × 100 = Percentage.
65
How do you calculate a percentage increase?
New Value = Original + (Original × % Increase).
66
How do you calculate a percentage decrease?
New Value = Original - (Original × % Decrease).
67
What is the formula for the mean (average)?
Sum of all values ÷ Number of values.
68
How do you find the median?
The middle number in an ordered set.
69
What is the mode?
The most frequently occurring number in a set.
70
What is the formula for distance?
Distance = Rate × Time (D = R × T).
71
How do you solve for rate?
Rate = Distance ÷ Time.
72
How do you solve for time?
Time = Distance ÷ Rate.
73
What is the probability formula?
Favorable Outcomes ÷ Total Outcomes.
74
What is the probability of rolling a 4 on a 6-sided die?
1/6.
75
How do you calculate the probability of multiple independent events?
Multiply the probabilities of each event occurring.
76
What is the perimeter formula for a rectangle?
Perimeter = 2L + 2W.
77
What is the area formula for a rectangle?
Area = L × W.
78
What is the area formula for a triangle?
Area = (1/2) × Base × Height.
79
What is the perimeter formula for a square?
Perimeter = 4 × Side.
80
What is the area formula for a square?
Area = Side².
81
How do you isolate X in an algebraic equation?
Use inverse operations.
82
What is the key formula for percentage?
(Part/Whole) × 100 = Percentage.
83
What is the key formula for distance?
D = R × T.
84
What is the key formula for average?
(Sum of terms) ÷ (Number of terms) = Mean.
85
What is the key formula for probability?
Favorable Outcomes ÷ Total Outcomes.
86
What is the area formula for a rectangle?
A = Length × Width.
87
What is the area formula for a triangle?
A = (1/2) × Base × Height.
88
What is a study tip for ASVAB preparation?
Practice Word Problems Daily.
89
What is another study tip for ASVAB preparation?
Break Down Problems Step by Step.
90
What is a key study tip for memorization?
Memorize Key Formulas.
91
What is a suggested study method?
Use Flashcards for Terms & Formulas.
92
What is a recommended practice strategy?
Take Timed Practice Tests.
93
How many times will a tire rotate in half an hour if it rotates 552 times in one minute?
16,560 rotations.
94
In a town of 810, how many vote for party B if 1 in 9 votes for party A?
720 people vote for party B.
95
What is the value of a motorcycle after 12% depreciation from $7,250?
$6,380.
96
How many gallons of water comes out in 7 seconds if 20 gallons come out in 5 seconds?
28 gallons.
97
What is the probability of rolling an even number on a fair 6-sided die?
1/2 or 50%.
98
What is the probability of drawing a blue ball from a bag containing 4 red, 3 blue, and 5 green balls?
1/4 or 25%.

ASBav (5 decks)

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