# SAT Practice Math Questions

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Eric Aroesty
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SAT Math practice questions

• 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

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

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

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

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

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

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

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.

### 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

B. 5
Explanation
To determine how many 2 by 2 by 3 blocks can fit inside a larger block with dimensions of 3 by 4 by 5 units, you need to calculate the volume of each block and then divide the volume of the larger block by the volume of the smaller block.
The volume of the larger block: Volume = Length x Width x Height = 3 x 4 x 5 = 60 cubic units
The volume of a single 2 by 2 by 3 block: Volume = Length x Width x Height = 2 x 2 x 3 = 12 cubic units
Now, divide the volume of the larger block by the volume of the smaller block to find out how many of the smaller blocks can fit: Number of smaller blocks = Volume of larger block / Volume of smaller block Number of smaller blocks = 60 cubic units / 12 cubic units = 5

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• 9.

### 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

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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• 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?

• A.

4

• B.

8

• C.

12

• D.

16

• E.

20

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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• 11.

### 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

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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• 12.

### 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

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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• 13.

### 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

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

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• Current Version
• Oct 19, 2023
Quiz Edited by
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• May 11, 2016
Quiz Created by
Eric Aroesty

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