Free Printable Unit 5 ACC: PreAssessment

1.

5 is a rational number.

a)

True

b)

False

2.

What type of number is $\frac{3}{8}$ ?

a)

rational

b)

irrational

3.

What type if number is $\sqrt{2}$ ?

a)

Rational Number

b)

Irrational Number

4.

Which of these is an example of a rational number?

a)

$\sqrt{2}$

b)

$\sqrt{5}$

c)

$\sqrt{3}$

d)

$\sqrt{4}$

5.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

6.

Is $\left(\sqrt{2}\right)^2$ rational or irrational?

a)

Rational

b)

Irrational

7.

Select all the rational numbers.

a)

$\sqrt[]{16}$

b)

$\sqrt[]{8}$

c)

$-\ \sqrt[]{25}$

d)

$\sqrt[3]{343}$

e)

$2.\overline{35}$

8.

Select all the irrational numbers.

a)

$\sqrt[]{25}$

b)

$\sqrt[3]{25}$

c)

$\frac{5}{3}$

d)

$7\pi$

e)

$0.\overline{6}$

9.

$\sqrt{324}$

(a)

10.

$\sqrt{64}$

(a)

11.

$\sqrt{225}$

(a)

12.

$\sqrt{196}$

(a)

13.

$\sqrt[]{484}$

(a)

14.

Determine the value of this square root:

$\sqrt{\frac{9}{16}}$

Enter your answer like a/b

(a)

15.

Determine the value of this square root:

$\sqrt{\frac{1}{36}}$

Enter your answer like a/b

(a)

16.

Determine the value of this square root:

$\sqrt{\frac{49}{81}}$

Enter your answer like a/b

(a)

17.

$\sqrt[3]{729}$

(a)

18.

$\sqrt[3]{27}$

(a)

19.

$\sqrt[3]{343}$

(a)

20.

$\sqrt[3]{216}$

(a)

21.

$\sqrt[3]{64}$

(a)

22.

Determine the value of this cube root:

$\sqrt[3]{\frac{8}{729}}$

Enter your answer like a/b

(a)

23.

Determine the value of this cube root:

$^3\sqrt{\frac{1}{216}}$

Enter your answer like a/b

(a)

24.

Determine the value of this cube root:

$^3\sqrt{\frac{512}{125}}=$

Enter your answer like a/b

(a)

25.

Estimate the value of $\sqrt[]{50}$ to the nearest whole number.

a)

6

b)

9

c)

7

d)

8

26.

Estimate to the nearest whole number.

a)

9

b)

11

c)

8

d)

10

27.

Between which two consecutive integers does $\sqrt{150}$ fall between?

a)

12

b)

13

c)

11

d)

14

e)

10

28.

In between what two consecutive integers is the $\sqrt[]{44}$ falling between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

29.

Between what two consecutive integers is $\sqrt[]{120}$ falling between?

a)

9 and 10

b)

10 and 11

c)

11 and 12

d)

12 and 13

30.

Between what two consecutive integers is $-\ \sqrt[]{150}$ falling between?

a)

12 and 13

b)

-12 and -13

c)

14 and 15

d)

-14 and -15

31.

Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between 3 and 4 and closer to 4

d)

Between 5 and 6 and closer to 5

32.

Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

33.

Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

34.

Which irrational number falls between -6 and -7 on a number line?

a)

$-\ \sqrt[]{40}$

b)

$-\ \sqrt[]{35}$

c)

$\ \sqrt[]{45}$

d)

$-\ \sqrt[]{50}$

35.

Which point best represents $\sqrt[]{27}$ ?

a)

point A

b)

point B

c)

point C

d)

point D

e)

point E

36.

Which point best represents $\sqrt[]{47}$ ?

a)

A

b)

D

c)

E

d)

F

e)

C

37.

Which of the following square roots is represented by point B?

a)

$\sqrt[]{2.5}$

b)

$\sqrt[]{6}$

c)

$\sqrt[]{2}$

d)

$\sqrt[]{8}$

38.

Identify the letter that best estimates the following square root on the following number line.

$\sqrt[]{156}$

a)

D

b)

B

c)

C

d)

E

e)

F

39.

In between what two consecutive integers is the $\sqrt[3]{12}$ falling between?

a)

3 and 4

b)

2 and 3

c)

1 and 2

d)

5 and 6

40.

In between what two consecutive integers is the $\sqrt[3]{30}$ falling between?

a)

3 and 4

b)

5 and 6

c)

7 and 8

d)

9 and 10

41.

In between what two consecutive integers is the $\sqrt[3]{67}$ falling between?

a)

between 4 and 5

b)

between 3 and 4

c)

between 1 and 2

d)

between 2 and 3

42.

Estimate the $\sqrt[3]{123}$ .

a)

between 4 and 5, closer to 5

b)

between 4 and 5, closer to 4

c)

between 3 and 4, closer to 3

d)

between 3 and 4, closer to 4

43.

Estimate the $\sqrt[3]{40}$

a)

between 3 and 4, closer to 3

b)

between 3 and 4, closer to 4

c)

between 4 and 5, closer to 4

d)

between 4 and 5, closer to 5

44.

Estimate to the nearest whole number:

a)

4

b)

3

c)

5

d)

7

45.

Estimate to the nearest whole number:

a)

8

b)

9

c)

7

d)

10

46.

Which number does not have a cube root between 2 and 3?

a)

15

b)

20

c)

10

d)

29

47.

Which point best represents $\sqrt[3]{1056}$ ?

a)

A

b)

B

c)

C

d)

D

48.

Which point best represents $\sqrt[3]{5}$

a)

A

b)

B

c)

C

d)

D

49.

Which point best represents $\sqrt[3]{792}$ ?

a)

A

b)

B

c)

C

d)

D

50.

The $\sqrt[3]{24}$ is closest to which point on the number line?

a)

A

b)

B

c)

C

d)

D

51.

How many solutions?

x²= 441

a)

1

b)

2

c)

No solution

d)

Infinitely many solutions

52.

How many solutions?

x²= 841

a)

1

b)

2

c)

No solution

d)

Infinitely many solutions

53.

y²= 64

a)

±8

b)

8

c)

±32

d)

32

54.

x² = 16

a)

4

b)

8

c)

±8

d)

±4

55.

Select all the solutions to x² = 25

a)

5

b)

-5

c)

No solutions

d)

Infinitely many solutions

e)

2.5

56.

How many solutions?

x³= 729

a)

1

b)

2

c)

No solution

d)

Infinitely many solutions

57.

How many solutions?

x³= 8

a)

1

b)

2

c)

No solution

d)

Infinitely many solutions

58.

m³= 512

a)

8

b)

± 8

c)

7

d)

± 9

59.

p³= 1000

a)

100

b)

10

c)

-10

d)

±100

60.

Select all the solutions to x³ = 125

a)

5

b)

-5

c)

No solutions

d)

Infinitely many solutions

e)

1.25

Unit 5 ACC: PreAssessment

Total questions: 60

Worksheet time: 3hrs 42mins

Which irrational number falls between -6 and -7 on a number line?

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