Academic Pentathlon Math 2024 - Practice 1

• x = 7 or x = -2

• x = 7 or x = 2

• x = -7 or x = 2

• x = -7 or x = -2

• x = 5 or x = 14

Answer explanation

Tags

CCSS.HSA-REI.B.4B

You want to make a custom sandwich. You can choose from 4 types of bread (white, wheat, sourdough, or rye), 3 types of protein (chicken, turkey, or ham), and 2 types of condiments (mayo or mustard). How many different sandwiches can you make using one type of bread, one type of protein, and one type of condiment?

• 12

• 18

• 24

• 9

• 6

Answer explanation

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

Answer explanation

What is the median of this data set?

• 50

• 46

• 47.5

• 49

• 49.5

Answer explanation

A fair eight-sided number die is rolled 80 times, and the number 3 appears 15 times. What is the theoretical probability of rolling a 3?

Answer explanation

Examine these sets of test scores:
Set A: 82%, 87%, 91%, 94%, 88%
Set B: 75%, 81%, 85%, 88%, 92%
Set C: 78%, 83%, 85%, 90%, 95%

Which set has the highest average score?

• Set A

• Set B

• Set C

• Sets B and C has the same mean

• All sets have the same average

Answer explanation

How many different ways can 8 people be chosen for 1st, 2nd, 3rd, and 4th place in a race?

• 1680

• 2520

• 4032

• 5040

• 3024

Answer explanation

A fair six-sided die is rolled 80 times, and the number 3 appears 20 times. What is the experimental probability of rolling a 3?

Answer explanation

Which set of data is shown by the frequency dot plot diagram?

• 0, 2, 2, 3, 6, 7, 7, 0, 8, 9, 9, 9, 10

• 10, 9, 9, 6, 7, 8, 8, 9, 3, 2, 0, 0, 10

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• 8, 4, 10, 7, 1, 9, 0, 5, 7, 2, 0, 9, 6, 8, 9

• 9, 7, 9, 3, 10, 6, 2, 9, 8, 0, 7, 9, 0, 2, 8

What is the result of the union of the sets {2,4,6} and {4,5,7}?

• {2,4,5,6,7}

• {2,4,5,6}

• {3,4,5,6,7}

• {2,4,5,6}

• {2,3,4,5,6,7}

Answer explanation