Free Printable Unit 1 Review: Real Numbers

1.

Is $-\sqrt{40}$ a rational or irrational number?

a)

Rational

b)

Irrational

2.

Convert the repeating decimal to a fraction.

5.\ \overline{42}

(a)

3.

Select all of the natural numbers

a)

$\pi$

b)

0

c)

4

d)

87

4.

Classify the number

\frac{74}{13}

a)

Rational Number

b)

Irrational Number

c)

Real Number

d)

Natural Number

e)

Whole Number

5.

Convert the repeating decimal to a fraction

0.\overline{6}

(a)

6.

Between which two whole numbers is

\sqrt{91}

between?

a)

1 and 2

b)

9 and 10

c)

81 and 100

d)

90 and 92

7.

Select the non-perfect squares from the list below.

a)

$\sqrt{6}$

b)

$\sqrt{49}$

c)

$\sqrt{8}$

d)

$\sqrt{1}$

e)

$\sqrt{121}$

8.

A square courtyard has an area of $144\ yds^2$ . What is the side length of the courtyard?

a)

72

b)

12

c)

5

d)

144

9.

Select all of the Rational Numbers

a)

195

b)

$\pi$

c)

-88

d)

$\frac{4}{7}$

e)

$0.\overline{23}$

10.

Is $\pi$ an irrational number?

a)

Yes

b)

No

11.

What is the difference between a natural number and a whole number?

a)

Natural numbers are rational and whole numbers are not.

b)

Whole numbers aren't fractions and natural numbers are.

c)

There is not a difference.

d)

0 is included in the whole numbers but not the natural.

12.

Put the numbers in order from least to greatest

$\sqrt{49},\ \sqrt{69},\ \frac{25}{6}$

a)

$\sqrt{69},\ \sqrt{49},\ \frac{25}{6}$

b)

$\sqrt{49},\ \frac{25}{6},\ \sqrt{69}$

c)

$\frac{25}{6},\ \sqrt{49},\ \sqrt{69}$

13.

$\frac{6}{2}$ or $\sqrt{27}$

Which number is smaller?

a)

$\frac{6}{2}$

b)

$\sqrt{27}$

14.

Select all of the integers in the list.

a)

0

b)

4.888

c)

680

d)

$\frac{4}{30}$

e)

-123

15.

$3^{\ 2},\ \sqrt{100},\ \sqrt{55}$

Order the numbers from greatest to least

a)

$3^2,\ \sqrt{55},\ \sqrt{100}$

b)

$3^{\ 2},\ \sqrt{100},\ \sqrt{55}$

c)

$\sqrt{100},\ 3^{\ 2},\ \sqrt{55}$

d)

$\sqrt{55},\ 3^{\ 2},\ \sqrt{100}$

16.

Point B on the number line below shows the best approximation of which square root?

a)

$\sqrt{17}$

b)

$\sqrt{5}$

c)

$\sqrt{8}$

d)

$\sqrt{64}$

17.

The number is a...

a)

Terminating Decimal

b)

Repeating Decimal

18.

Which kind of decimals are irrational?

a)

Those that terminate.

b)

Those that repeat a pattern.

c)

Those that never end.

d)

Those that never end and have no pattern.

19.

The area of a square is 100 cm². What is the perimeter?

a)

25 cm

b)

10 cm

c)

40 cm

d)

50 cm

20.

-6 is

a)

Rational

b)

Irrational

21.

What is the best classification for this number? .78787878...

a)

integer

b)

rational

c)

irrational

d)

whole

22.

Which is a perfect square?

a)

50

b)

32

c)

8

d)

200

e)

256

23.

Explain the error

a)

-1.2 isn't an integer.

b)

-2 isn't a whole number and 3.4 isn't a rational number.

c)

-2 isn't a whole number and -1.2 isn't an integer.

d)

The numbers are graphed correctly.

24.

Zero can be classified as all of the following except which?

a)

Whole

b)

Rational

c)

Integer

d)

Natural

25.

Hunter finished 3/8 of his homework before supper. Macy finished 2/3 of her homework before supper. Which statement correctly compares the fractions?

a)

3/8 < 2/3

b)

3/8 > 2/3

c)

3/8 = 2/3

d)

2/3 < 3/8

26.

Which of the following is an incorrect statement?

a)

$1<\sqrt{2}<2\$

b)

$5<\sqrt{37}<<6$

c)

$9<\sqrt{90}<10$

d)

$14<\sqrt{210}<15$

27.

Which is the correct classification of the value $7\pi$ ?

a)

Real, rational, integer,

b)

Real, Rational

c)

Real, Irrational

d)

Irrational, integer

28.

Which statement below is true about irrational numbers?

a)

Some irrational numbers are natural numbers.

b)

Irrational numbers included decimals with a repeating pattern.

c)

The square root of every non-perfect square will be an irrational number.

d)

Irrational numbers will never be real numbers.

29.

Which of the following has a value of 24?

a)

$10+7^2$

b)

$2\sqrt{25}$

c)

$3^2+11$

d)

$13+\sqrt{121}$

30.

Which of the following could not be a included in the set of integers? Check all that apply.

a)

$9+\sqrt{75}$

b)

$0.\overline{3}$

c)

$2\sqrt{100}$

d)

$\frac{60}{15}$

e)

$\frac{2}{3}+\frac{1}{3}$

Unit 1 Review: Real Numbers

Total questions: 30

Worksheet time: 23mins

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