Past Test Questions: Math

Question 1

What are the solutions to the equation x^2 − 4x = 12?

Answer 1

x = 6 and x = -2

Question 2

You can choose from 3 types of fruits, 2 types of nuts, and 2 types of syrup. How many different fruit salads can you make using one type of fruit, one type of nut, and one type of syrup?

Answer 2

12

Question 3

When rolling a fair six-sided number cube, what is the probability of rolling an even number?

Answer 3

1/2

Question 4

What is the median of this data set?
4 | 1 5 7
5 | 2 3 8 9
6 | 0 6
7 | 1 4

Answer 4

58

Question 5

A fair six-sided number cube is rolled 60 times, and the number 5 appears 10 times. What is the theoretical probability of rolling a 5?

Answer 5

1/6

Question 6

Set A: 65%, 70%, 75%, 80%, 85%
Set B: 60%, 65%, 70%, 75%, 90%
Set C: 55%, 60%, 65%, 70%, 95%
Which set has the highest average score?

Answer 6

Set A

Question 7

How many different ways can 10 people be chosen for 1st, 2nd, 3rd, and 4th place in a contest?

Answer 7

5040

Question 8

A six-sided number cube is rolled 60 times, resulting in the number 5 appearing 15 times. What is the experimental probability of rolling a 5?

Answer 8

1/4

Question 9

What is the result of the union of the sets {4, 5, 6} and {6, 7, 8}?

Answer 9

{4, 5, 6, 7, 8}

Question 10

What is the probability of winning a game if you need to roll a 5 on a six-sided number cube and draw a queen from a standard deck of cards?

Answer 10

1/78

Question 11

Solve for y: −3y + 6 ≥ 9

Answer 11

y ≤ -1

Question 12

Choose the prime numbers from this list: 29, 30, 31, 32, 33, 34, 35.

Answer 12

29, 31

Question 13

What is the probability of drawing two aces from a deck of cards sequentially without replacing the first ace drawn?

Answer 13

1/221

Question 14

Order the following numbers from smallest to largest: 3/8, 0.75, 7/25, -0.32.

Answer 14

-.32, 7/25, 3/8. .75

Question 15

What is the probability of drawing either an ace or a 10 from a standard deck of cards?

Answer 15

2/13

Question 16

Solve 5! − 3!

Answer 16

114

Question 17

Identify the next term in the geometric sequence 2, 6, 18, 54, …?

Answer 17

162

Question 18

Find the slope of the line passing through the points (2, 1) and (6, 5).

Answer 18

1

Question 19

Factor: 4x^3 − 8x^2 − 60x

Answer 19

4x(x - 5)(x + 3)

Question 20

What is the result of x^−3 based on the rules for exponents?

Answer 20

1/x^3

Question 21

A survey asked ten people to choose their favorite season. The responses were: Winter, Winter, Spring, Summer, Summer, Summer, Fall, Fall, Fall, Fall. What is the mode of these responses?

Answer 21

Fall

Question 22

How many different groups of four students can be formed from a class of twelve students?

Answer 22

495

Question 23

Express algebraically: “seven decreased by two times y.”

Answer 23

7 - 2y

Question 24

Solve for x: 6x − 2 = 2x + 10.

Answer 24

x = 3

Question 25

A bookstore recorded its daily sales of books for a week as follows: 24, 30, 18, 35, 29, 41, and 50. What is the range of daily book sales?

Answer 25

32

Question 26

Add: (3x^2 − 4y) + 3(2x^2 − 5y)

Answer 26

9x^2 - 19y

Question 27

What is the greatest common factor of 18 and 27?

Answer 27

9

Question 28

If it takes 3 cups of flour to make 36 pancakes, how many pancakes can be made with 4 cups?

Answer 28

48

Question 29

Evaluate x^2 − 2x − 8 for x = 4.

Answer 29

0

Question 30

Consider the following set of ages: 18, 21, 35, 42, 25, 19, 20, and 33. What is the median age?

Answer 30

23