Free Printable Real Numbers Test 1.1 Review

1.

Which of the following numbers is irrational?

a)

$\sqrt{8}$

b)

$\frac{3}{4}$

c)

2

d)

-1.325

2.

Which of the following is rational?

a)

4.211232912421725. . . .

b)

$\pi$

c)

$\sqrt{25}$

d)

$\sqrt{12}$

3.

List the following numbers from least to greatest:

-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

4.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

5.

The square root of 27 is between what two integers?

a)

4 and 5

b)

5 and 6

c)

3 and 4

d)

9 and 10

6.

Order 3π, √ 10 , and 3.25 from greatest to least.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

7.

An inequality is shown:

Which value of x will make the inequality true?

$\frac{1}{3}$ < x < 40%

a)

$\frac{2}{6}$

b)

32%

c)

$\sqrt{.04}$

d)

$\frac{3}{8}$

8.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

9.

A perfect square is a number whose square root is ___________.

a)

Even

b)

irrational

c)

a whole number, integer, or rational number.

d)

Odd

10.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

11.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

12.

A perfect square is created when a whole number is multiplied by ___

a)

a different number

b)

itself

c)

a two digit number

d)

a fraction

13.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

14.

Which of the following is a perfect square?

a)

39

b)

50

c)

6

d)

81

15.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

16.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

17.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

18.

How do you write

8.317 x 10⁶

in standard form?

a)

8,371,000

b)

83,170,000

c)

837,100

d)

8,317,000

19.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

20.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

21.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

22.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

23.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

24.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

25.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

26.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

27.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

28.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

29.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

30.

Which correctly explains the Pythagorean Theorem?

a)

The lengths two smaller sides add up to the longest side.

b)

The area of the squares of the two small sides add up to the area of the square of the longest side..

c)

The combine area of all three squares equals 100.

d)

The combine lengths of all three sides adds up to 90^o.

31.

Which set best describes 2.4 x 10^-5 ?

a)

irrational

b)

whole

c)

rational

d)

integer

32.

Which set best describes 8.7 x 10⁶ ?

a)

irrational

b)

whole

c)

rational

d)

integer

33.

Which real numbers are best described as irrational? Choose all that apply.

a)

$\sqrt{81}$

b)

$\pi$

c)

$\sqrt{18}$

d)

$2.1\ x\ 10^{-5}$

34.

Which real number is between -8.5 and -7.5?

a)

$-8\frac{4}{5}$

b)

$-\sqrt{65}$

c)

$-\frac{45}{6}$

d)

$-\sqrt{8}$

35.

a)

b)

c)

d)

36.

a)

Yes, those squares will form a right triangle because 4 + 6 = 10

b)

Yes, those squares will form a right triangle because 4² + 6² = 10².

c)

No, those squares will not form a right triangle because they are squares and squares aren't triangles.

d)

No, those squares will not form a right triangle because 4² + 6² does not equal 10².

37.

The hypotenuse is always ____________. Choose all that apply.

a)

opposite the right angle

b)

the longest side

c)

the diagonal line that connects the legs

d)

represented by the letter c

38.

Which is your favorite class this year? Choose all that apply.

a)

Math because I love math!

b)

Math because I have such an awesome teacher this year!

c)

Math because I love a challenge!

d)

Math because math is cool!

39.

Which of the following statements is not true?

a)

$5\frac{2}{5}<\frac{43}{8}$

b)

$\sqrt{25}+\ 7.9>1.2\ x\ 10^1$

c)

$6.4<6\frac{2}{5}$

d)

$6.2\ +\ \sqrt{9}<\ \frac{60}{7}\ +5\frac{3}{4}$

Real Numbers Test 1.1 Review

Total questions: 39

Worksheet time: 48mins

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