SAT Math: Exponents | Quiz One: Practice
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.
- 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. 6Explanation
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.Rate this question:
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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. 3Explanation
2x + 3 = 4x - 3
3 = 2x - 3
6 = 2x
3 = xRate this question:
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- 3.
(5 * 5 + 3) / 2 + 7 / 7 = ?
- A.
1
- B.
7
- C.
14
- D.
15
- E.
35
Correct Answer
D. 15Explanation
5 * 5 = 25 + 3 = 28
28/2 = 14
14 + 1 = 15Rate this question:
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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. 122Explanation
(44 + 66 + 88 + x)/4 = 80
44 + 66 + 88 + x = 320
x = 320-88-66-44
x = 122Rate this question:
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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. MariaExplanation
J > M
M < S
T > (J,M, and S)
So,
M < (J, S, T)
Maria is the youngest.Rate this question:
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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. 27Explanation
V = s^3
so V of the new cube = (3s)^3 = 3^3*s^3 = 27s^3
27s^3/s^3 = 27Rate this question:
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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. 1/8Explanation
The chance of no heads appearing is the same as the chance of all tails appearing, which is: (1/2)^3 or 1/8Rate this question:
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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. 1/12Explanation
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.Rate this question:
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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. 12Explanation
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 = 12Rate this question:
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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. 5Explanation
5 miles / 1 hr = 5 mph
25 miles / 5 mph / 5 miles.Rate this question:
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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. 4Explanation
V(big block) = 3*4*5 = 60
V(small block) = 2*2*3 = 12
V(big)/V(small) = 4 small blocks.Rate this question:
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- 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. 1/3Explanation
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.Rate this question:
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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. 1Explanation
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 bananaRate this question:
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Dec 19, 2023Quiz Edited by
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Oct 24, 2011Quiz Created by
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