Q: If you have $$3$$ yards, how many square feet do you have?

$$3 \times 9 = 27$$ square feet

Q: Convert $$5$$ miles to kilometers using the conversion $$1$$ mile $$= 1.6093 km.$$

$$5 \times 1.6093 = 8.0465 km$$

Q: If a measurement is $$2$$ meters, how many centimeters is this?

$$2 \times 100 = 200$$ \text{ cm}$

Q: A car travels $$60$$ miles per hour for $$2$$ hours. How far does it travel?

$$60 \times 2 = 120$$ \text{ miles}$

Question 1

Which of the following best describes a set?

Accepted Answer

A set is a collection of objects, and the individual objects are called members.

Question 2

Given the set $$A = \{2, 4, 6, 8, 10\}$$, which of the following statements is true?

Accepted Answer

8 is a member of set $$A.$$

Question 3

Which Venn diagram represents two sets that have no members in common?

Accepted Answer

Two separated circles that do not touch.

Question 4

If $$A is a $$subset of $$B$$, which of the following must be true?

Accepted Answer

Every member of $$A is $$also a member of $$B.$$

Question 5

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{2}$$

Question 6

Which of the following is the correct order from smallest to largest set, according to the diagram of real numbers?

Accepted Answer

Natural numbers, whole numbers, integers, rational numbers, real numbers

Question 7

Which categorical proposition is represented by the statement: 'No fish are mammals'?

Accepted Answer

No $$S$$ are $$P$$

Question 8

In the Venn diagram for 'Some doctors are women', what does the 'X' in the overlapping region represent?

Accepted Answer

At least one member is both a doctor and a woman.

Question 9

Refer to the Venn diagram of people at a party. How many people are men or under age 30?

Accepted Answer

$$22 + 15 + 16 = 53$$

Question 10

In the Venn diagram of people at a conference, how many people are women with a college degree who are currently employed?

Accepted Answer

$$11$$

Question 11

Which of the following is a correct statement about unit analysis?

Accepted Answer

You generally cannot add or subtract numbers with different units.

Question 12

If you have $$3$$ yards, how many square feet do you have?

Accepted Answer

$$3 	imes 9 = 27$$ square feet

Question 13

Which metric prefix represents one-millionth?

Accepted Answer

micro-

Question 14

Convert $$5$$ miles to kilometers using the conversion $$1$$ mile $$= 1.6093 km.$$

Accepted Answer

$$5 	imes 1.6093 = 8.0465 km$$

Question 15

Which of the following is the correct formula to convert Celsius to Fahrenheit?

Accepted Answer

$$F = 1.8C + 32$$

Question 16

If a measurement is $$2$$ meters, how many centimeters is this?

Accepted Answer

$$2 	imes 100 = 200$$ 	ext{ cm}$

Question 17

Which of the following is the international metric unit of energy?

Accepted Answer

joule

Question 18

A car travels $$60$$ miles per hour for $$2$$ hours. How far does it travel?

Accepted Answer

$$60 	imes 2 = 120$$ 	ext{ miles}$

Question 19

Which of the following is NOT a base unit in the metric system?

Accepted Answer

inch

Question 20

If $$1 US $$dollar equals $$0.7586$$ Canadian dollars, how many US dollars are equivalent to $$10$$ Canadian dollars?

Accepted Answer

$$10 	imes 0.7586 = 7.586 US $$dollars

Essential Study Notes: Sets, Venn Diagrams, Number Systems, and Unit Analysis for Liberal Arts Math

Study Guide - Practice Questions

Study Guide - Flashcards