Free Printable Unit 1 Real Numbers Test Review

1.

Evaluate √289

a)

15

b)

17

c)

14

d)

13

2.

Evaluate (-14)²

a)

169

b)

196

c)

-196

d)

144

3.

The area of a square is 324 square meters. Which best represents the length of a side of the square?

a)

17 m

b)

14 m

c)

18 m

d)

12 m

4.

√175 is between:

a)

15 and 16

b)

13 and 14

c)

14 and 15

d)

16 and 17

5.

√120 is between:

a)

11 and 12

b)

10 and 11

c)

12 and 13

d)

13 and 14

6.

√49 + √81 = _____

a)

130

b)

-2

c)

18

d)

16

7.

Which square root has a value between 4 and 5?

a)

√14

b)

√25

c)

√21

d)

√14

8.

What numbers replace the question marks? (click to see the problem)

a)

65 and 75

b)

9 and 10

c)

10 and 11

d)

11 and 12

9.

$\frac{\sqrt{4}}{6}$

a)

Rational

b)

Irrational

10.

$4.\overline{67}$

a)

Rational

b)

Irrational

11.

$5.23568...$

a)

Rational

b)

Irrational

12.

$\sqrt{225}$

a)

Rational

b)

Irrational

13.

$\frac{2}{3}$

a)

Rational

b)

Irrational

14.

$\sqrt{175}$

a)

Rational

b)

Irrational

15.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

16.

Select all that apply that will classify the following number: -2.5

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

17.

Select all that apply that will classify the following number: 0

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

18.

Select all that apply that will classify the following number: $-\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

19.

Select all that apply that will classify the following number: $\frac{4}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

20.

Classify the following:
√13?

a)

Rational

b)

Irrational

21.

What is the definition of an integer

a)

All positive and negative whole numbers

b)

Decimals or fractions that terminate for repeat

c)

All positive whole numbers

d)

0

22.

A repeating decimal is what type of number?

a)

Rational

b)

Integer

c)

Natural

23.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-terminating, non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

24.

Rational numbers can always be written as a __________.

a)

fraction

b)

decimal

c)

negative number

d)

whole number

25.

All rational numbers are integers.

a)

True

b)

False

26.

All square roots are irrational numbers.

a)

True

b)

False

27.

Convert $\frac{2}{5}$ to a decimal

a)

0.5

b)

0.2

c)

0.4

d)

0.10

28.

Convert $\frac{12}{100}$ to a decimal

a)

0.12

b)

0.25

c)

0.4

d)

0.10

29.

Convert to a $-\frac{11}{20}$ decimal.

a)

0.55

b)

$-1.\overline{81}$

c)

-0.112

d)

-0.55

30.

What is 0.507 as a fraction?

a)

$\frac{57}{1,000}$

b)

$\frac{507}{1,000}$

c)

$\frac{507}{100}$

d)

$\frac{57}{100}$

31.

Which classifications of the real number system describe all numbers in the set?

a)

Rational

b)

Irrational

c)

Integers

d)

Whole

e)

Natural

32.

Which classifications of the real number system describe all numbers in the set?

a)

Rational

b)

Irrational

c)

Integers

d)

Whole

e)

Natural

33.

An irrational number:

a)

goes on forever and does not repeat.

b)

can't be turned into a fraction.

c)

includes pi and √2

d)

All of the above.

34.

| -12 | =

a)

12

b)

-12

c)

1/12

d)

-1/12

35.

-| -5 | =

a)

5

b)

-5

c)

1/5

d)

-1/5

36.

What is the distance from -12 to 21? Check all that apply.

a)

|21 - (-12)| = 33

b)

|-12 +21| = 9

c)

|-12 - 21| = 33

d)

|21 - 12| = 13

37.

What is the distance from -12 to -21? Check all that apply.

a)

|-12 - (-21)| = 9

b)

|-21 - (-12)| = 9

c)

|-12 - 21| = 33

d)

|21 - 12| = 9

38.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

39.

l-6l____6

a)

<

b)

>

c)

=

40.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

41.

Tamara’s and Gabby’s frogs sit back to back at the point 0 on a number line. Tamara’s frog hops eight units to the right while Gabby’s frog hops 11 units to the left. How far apart are the two frogs now?

a)

7 units

b)

11 units

c)

19 units

42.

A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?

a)

-525

b)

525

c)

325

d)

-325

43.

The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?

a)

3 degrees

b)

12 degrees

c)

11 degrees

d)

10 degrees

44.

Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?

a)

9 miles

b)

1 mile

c)

-9 miles

d)

-1 mile

45.

|7 − 20|

a)

-13

b)

13

c)

27

d)

-27

46.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

c)

Sometimes

d)

Only when it is negative

47.

Scientific Notation is made up of two number parts. The second part is a power of base 10.

a)

True

b)

False

c)

Sometimes

d)

Only on New Year's Eve

48.

UNDERSTANDING

If a number is written in scientific notation and the exponent is a negative number...

a)

you will get a large number

b)

you will get a number less than 1

c)

you will get a brand new puppy!

d)

you will get a triangle

49.

UNDERSTANDING

If a number is written in scientific notation and the exponent is a positive number...

a)

you will get a number greater than 1

b)

you will get a smaller number

c)

you will get extra birthday presents

d)

you will have to run a mile in gym

50.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,375.6

51.

How would you write 0.00057 in scientific notation?

a)

57 x 10^-5

b)

5.7 x 10^-4

c)

5.7 x 10^-3

d)

0.57 x 10^-3

52.

Express the following in standard notation:
8.025 x 10^-⁸

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

53.

Express the following in scientific notation:
10,030,400,000

a)

1.00304 x 10⁹

b)

1.00304 x 10¹⁰

c)

1.00403 x 10¹⁰

d)

1.00304 x10^-10

54.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

55.

Which list shows the numbers written in order from least to greatest?

a)

b)

c)

56.

Which statement is TRUE?

a)

b)

c)

57.

Choose the 3 answers that are equivalent to this number.

a)

b)

c)

d)

e)

58.

Which statement is FALSE?

a)

b)

c)

59.

Which list of numbers are in order from least to greatest?

a)

b)

c)

60.

Which list in order from greatest to least?

a)

b)

c)

Unit 1 Real Numbers Test Review

Total questions: 60

Worksheet time: 2hrs 0mins

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