SAT Math: Exponents | Quiz One: Practice

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| By Johnalzate

Johnalzate

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Quizzes Created: 2 | Total Attempts: 711

Questions: 13 | Attempts: 639 | Updated: Dec 19, 2023

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Welcome to the SAT MATH: Exponents section of your study review! Answer the following problems to review exponent problems as they will appear on your SAT MATH exam.

Questions and Answers

1.

A number is given as 3513N, where N is an positive integer that fills in the units digit. Which of the following values of N would result in 3513N being a multiple of 9?
- A.
  
  3
- B.
  
  4
- C.
  
  5
- D.
  
  6
- E.
  
  7
Correct Answer
D. 6

Explanation
For a number to be a multiple of 9, the sum of its digits must be a multiple of 9. Since 3 + 5 + 1 + 3 = 12, N must be 6.

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2.

Solve for x: 2x + 3 = 4x - 3
- A.
  
  0
- B.
  
  1
- C.
  
  3
- D.
  
  5
- E.
  
  7
Correct Answer
C. 3

Explanation
2x + 3 = 4x - 3
3 = 2x - 3
6 = 2x
3 = x

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3.

(5 * 5 + 3) / 2 + 7 / 7 = ?
- A.
  
  1
- B.
  
  7
- C.
  
  14
- D.
  
  15
- E.
  
  35
Correct Answer
D. 15

Explanation
5 * 5 = 25 + 3 = 28
28/2 = 14
14 + 1 = 15

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4.

A set of integers includes: 44, 66, 88, and x. If the mean of the scores is 80, what is x?
- A.
  
  12
- B.
  
  104
- C.
  
  120
- D.
  
  122
- E.
  
  200
Correct Answer
D. 122

Explanation
(44 + 66 + 88 + x)/4 = 80
44 + 66 + 88 + x = 320
x = 320-88-66-44
x = 122

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5.

John is older than Maria. Maria is younger than Sue. Terry is the oldest of the four of them. Who is the youngest?
- A.
  
  John
- B.
  
  Maria
- C.
  
  Sue
- D.
  
  Terry
- E.
  
  They are all the same age
Correct Answer
B. Maria

Explanation
J > M
M < S
T > (J,M, and S)
So,
M < (J, S, T)
Maria is the youngest.

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6.

If the length of the sides of a cube is tripled, by what factor is the volume of the cube increased?
- A.
  
  3
- B.
  
  6
- C.
  
  9
- D.
  
  15
- E.
  
  27
Correct Answer
E. 27

Explanation
V = s^3
so V of the new cube = (3s)^3 = 3^3*s^3 = 27s^3

27s^3/s^3 = 27

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7.

A fair coin is flipped three times. What is the chance that no head will appear?
- A.
  
  1/8
- B.
  
  1/4
- C.
  
  1/3
- D.
  
  1/2
- E.
  
  0
Correct Answer
A. 1/8

Explanation
The chance of no heads appearing is the same as the chance of all tails appearing, which is: (1/2)^3 or 1/8

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8.

A six-sided dice is rolled twice. What is the chance that the sum of the two rolls will be exactly 10?
- A.
  
  1/12
- B.
  
  1/16
- C.
  
  3/7
- D.
  
  1/6
- E.
  
  3/8
Correct Answer
A. 1/12

Explanation
10 = 5 + 5, 4 + 6, 6 + 4

The probability of any given combination is (1/6)^2 = 1/36

There are three combinations

3*1/36 = 3/36 = 1/12.

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9.

In a class election between Ricky, Susie, and Mikey, Ricky earns 20% of the vote and Mikey earns 30% of the vote. There are 24 members of the class. How many votes did Susie receive?
- A.
  
  4
- B.
  
  8
- C.
  
  12
- D.
  
  16
- E.
  
  20
Correct Answer
C. 12

Explanation
First, you will need to know Susie's percentage: 100% - 30% - 20% = 50%

Second, you should multiply that percentage by the total number of votes: 50% * 24 = .5 * 24 = 12

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10.

If Pete can run five miles in one hour, how many hours would it take him to run 25 miles?
- A.
  
  3
- B.
  
  4
- C.
  
  5
- D.
  
  10
- E.
  
  15
Correct Answer
C. 5

Explanation
5 miles / 1 hr = 5 mph
25 miles / 5 mph / 5 miles.

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11.

If a block has dimensions of 3, 4, and 5 units, how many 2 by 2 by 3 blocks can fit in the block?
- A.
  
  4
- B.
  
  5
- C.
  
  8
- D.
  
  12
- E.
  
  15
Correct Answer
A. 4

Explanation
V(big block) = 3*4*5 = 60
V(small block) = 2*2*3 = 12

V(big)/V(small) = 4 small blocks.

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0
1
12.

The letters of the word: "alphabets" are placed into a hat and scrambled. What is the probability of choosing a vowel at random from the hat?
- A.
  
  1/12
- B.
  
  1/6
- C.
  
  1/3
- D.
  
  2/9
- E.
  
  4/9
Correct Answer
C. 1/3

Explanation
The vowels are: a,e,i,o, and u. "alphabet" has 2 a's and 1 e, or 3 vowels total out of 9 letters. 3/9 = 1/3.

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13.

If Mike can buy four apples for one pear and four pears for one peach, and if one peach is equal to eight bananas, how many bananas will Mike receive for two apples?
- A.
  
  1
- B.
  
  2
- C.
  
  4
- D.
  
  6
- E.
  
  8
Correct Answer
A. 1

Explanation
4 apples = 1 pear 4 pears = 1 peach 1 peach = 8 bananas So, 1 apple = 1/4 pear 1/4 pear = 1/8 peach 1/8 peach = 1 banana. So, 1 apple = 1 banana

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0
1

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Current Version
Dec 19, 2023

Quiz Edited by
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Oct 24, 2011

Quiz Created by
Johnalzate

SAT Math: Exponents | Quiz One: Practice

A number is given as 3513N, where N is an positive integer that fills in the units digit. Which of the following values of N would result in 3513N being a multiple of 9?

Solve for x: 2x + 3 = 4x - 3

(5 * 5 + 3) / 2 + 7 / 7 = ?

A set of integers includes: 44, 66, 88, and x. If the mean of the scores is 80, what is x?

John is older than Maria. Maria is younger than Sue. Terry is the oldest of the four of them. Who is the youngest?

If the length of the sides of a cube is tripled, by what factor is the volume of the cube increased?

A fair coin is flipped three times. What is the chance that no head will appear?

A six-sided dice is rolled twice. What is the chance that the sum of the two rolls will be exactly 10?

In a class election between Ricky, Susie, and Mikey, Ricky earns 20% of the vote and Mikey earns 30% of the vote. There are 24 members of the class. How many votes did Susie receive?

If Pete can run five miles in one hour, how many hours would it take him to run 25 miles?

If a block has dimensions of 3, 4, and 5 units, how many 2 by 2 by 3 blocks can fit in the block?

The letters of the word: "alphabets" are placed into a hat and scrambled. What is the probability of choosing a vowel at random from the hat?

If Mike can buy four apples for one pear and four pears for one peach, and if one peach is equal to eight bananas, how many bananas will Mike receive for two apples?