Question 1

Which of the following numbers is correctly written in scientific notation?

Accepted Answer

$$3.46 	imes 10$$^{-8}$$

Question 2

What is the order of magnitude estimate for the world annual energy consumption, given as $$5.7 	imes 10$$^{20}$$ joules?

Accepted Answer

$$10^{20}$$

Question 3

How many cubic inches are in one cubic foot, given that $$1\ 	ext{foot} = 12\ 	ext{inches}$$?

Accepted Answer

$$1728$$

Question 4

If the energy released by burning 1 liter of oil is $$1.2 	imes 10^7$ joules, how many liters of oil are needed to produce 6.0$$ 	imes $$10^7$$ joules?

Accepted Answer

$$5$$

Question 5

Which set does the number $$\pi$$ belong to?

Accepted Answer

Irrational numbers

Question 6

A Venn diagram shows 22 men, 16 people under age 30, and 15 who are both. How many people at the party are either men or under age 30?

Accepted Answer

$$22 + 16 + 15 - 15 = 38$$

Question 7

Convert $$25$$ kilograms to pounds, given $$1\ 	ext{kg} = 2.2046\ 	ext{lb}.$$

Accepted Answer

$$55.115$$

Question 8

Which of the following best describes a set?

Accepted Answer

A collection of objects, where each object is called a member.

Question 9

If you eat candy bars that each provide $$1 	imes 10^6$ joules, how many do you need to run for 4 hours if running uses 4$$ 	imes $$10^6$$ joules per hour?

Accepted Answer

$$16$$

Question 10

Which of the following is NOT a correct use of unit analysis?

Accepted Answer

Adding $$5$$ meters and $$3$$ seconds.

Question 11

What is the sale price of a sweater originally marked $$60$$ dollars with a $$20\%$$ discount?

Accepted Answer

$$48$$

Question 12

Which Venn diagram relationship is shown when two sets have no members in common?

Accepted Answer

Disjoint

Question 13

Convert $$0.0000000346 to $$scientific notation.

Accepted Answer

$$3.46 	imes 10$$^{-8}$$

Question 14

Which of the following is the correct scale ratio if 1 inch on a map represents 50 miles?

Accepted Answer

$$1:3,168,000$$

Question 15

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

Accepted Answer

All members of $$A$$ are also members of $$B.$$

Question 16

Which of the following is a rational number?

Accepted Answer

$$-2.35$$

Question 17

What is the result of $$(8.15 	imes 10$$^{11}$$) \div (2.1 	imes 10^4$) in $$scientific notation?

Accepted Answer

$$3.88 	imes 10^7$

Question 18

Which of the following is the correct definition of 'order of magnitude'?

Accepted Answer

A broad estimate within one or two powers of ten.

Question 19

If $$1$$ square yard contains $$9$$ square feet, how many square feet are in $$10$$ square yards?

Accepted Answer

$$90$$

Question 20

Which metric prefix represents $$10^{-3}$$?

Accepted Answer

milli-

Liberal Arts Math Study Guide: Sets, Scientific Notation, Unit Analysis, and the Real Number System

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