Free Printable Math (hard)

1.

$\left(5\ +\sqrt[]{6}\right)\left(5\ -\sqrt[]{6}\right)$

a)

14

b)

16

c)

17

d)

19

e)

20

2.

16 06 68 88 XX XX

XX XX = …

a)

86, 88

b)

17, 34

c)

86, 87

d)

16, 26

3.

$\frac{1}{2}\sigma^2S^2\frac{\partial^2V}{\partial S^2}+rs\frac{\partial V}{\partial S}+\frac{\partial V}{\partial t}-rV\ =\ ?$

a)

1

b)

0

c)

2

4.

What is the equation of the graph?

a)

y = √(x - 3)

b)

y = √(x) + 3

c)

y = √(x - 5) + 4

d)

y = √(x + 5) + 4

5.

What are the transformations to the graph compared to the parent function?

a)

Shifted right 2, shifted up 3, and reflected over the y-axis

b)

Shifted left 2, shifted up 3, and reflected over the y-axis

c)

Shifted left 2, shifted up 3, and reflected over the x-axis

d)

Shifted right 2, shifted up 3, and reflected over the x-axis

6.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

Which is the graph of the square root parent function?

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

17.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

18.

Which of the following is the function shown in the graph?

a)

b)

c)

d)

19.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

20.

Which equation is shown graphed?

a)

y = −√(x + 1) + 4

b)

y = −√(x − 1) + 4

c)

y = √(x − 1) + 4

d)

y = √(x + 1) + 4

21.

Level 4: Estimate the square root to the nearest tenth.

a)

3.2

b)

3.1

c)

3.4

d)

3.0

22.

Level 3: Estimate the square root.

a)

Between 7 and 8 and closer to 8

b)

Between 8 and 9 and closer to 9

c)

Between 9 and 10 and closer to 9

d)

Between 9 and 19 and closer to 10

23.

a)

A

b)

B

c)

C

d)

D

24.

What number represents the base?

a)

3

b)

5

c)

15

d)

125

25.

Check all powers that have a positive value.

a)

$4^2$

b)

$\left(-2\right)^3$

c)

$\left(-1\right)^4$

d)

$-\left(3\right)^6$

e)

$\left(\frac{1}{2}\right)^2$

26.

What number represents the base?

a)

3

b)

5

c)

15

d)

125

27.

What is the value of the power?

a)

3

b)

5

c)

15

d)

125

28.

$6\times6$

Write the product as a POWER.

a)

$36$

b)

$2^6$

c)

$6^2$

d)

$12$

29.

Identify the statement with the correct symbol.

a)

$3^2<\left(-3\right)^2$

b)

$3^2>\left(-3\right)^2$

c)

$3^2=\left(-3\right)^2$

30.

The volume of a cube can be calculated using the formula v = lwh. Write the volume of the cube as a power.

a)

$5^3$

b)

$3^5$

c)

$5^2$

d)

$125$

31.

What number is the exponent?

a)

3

b)

5

c)

15

d)

125

32.

How do you say 4² in words?

a)

Four squared

b)

Four cubed

33.

Identify the correct expanded form and value for the power.

\left(-1\right)^5

a)

$\left(-1\right)\left(-1\right)\left(-1\right)\left(-1\right)\left(-1\right)\ =\ 1$

b)

$\left(-1\right)\left(-1\right)\left(-1\right)\left(-1\right)\left(-1\right)=-1$

c)

$\left(5\right)\left(-1\right)\ =-5$

d)

$\left(-1\right)\left(5\right)=-5$

34.

How do you say 4² in words?

a)

Four squared

b)

Four cubed

35.

What is the numerical expression as a power?

\left(10\right)\left(10\right)

a)

$10^2$

b)

$2^{10}$

c)

$100$

d)

$20$

36.

Identify the statement with the correct symbol.

a)

$5^2<2^5$

b)

$5^2>2^5$

c)

$5^2=2^5$

37.

What is the numerical expression as a power?

9\cdot9\cdot9\cdot9

a)

$9^4$

b)

$4^9$

c)

$94$

d)

$49$

38.

$7^2$

Find the VALUE of the power.

a)

$49$

b)

$14$

c)

$21$

d)

$7$

39.

$\frac{7!}{2!5!}+\frac{7!}{4!3!}$

(a)

40.

Express in factorial form: $3\times2\times1$

(a)

41.

simplify this

a)

1

b)

a

c)

a+1

d)

1/a

42.

Evaluate: (6 - 5)!

a)

1

b)

11

c)

720

d)

600

43.

Expand 6!

a)

6+5+4+3+2+1

b)

6^.5^.4^.3^.2^.1

c)

4+5+6+7+8+9

d)

6

44.

7! + 8!

a)

45,360

b)

33,479

c)

44,245

d)

34,820

45.

Simplify this

a)

6

b)

30

c)

1/5

d)

1/6

46.

6! * 4!

a)

24

b)

720

c)

12,560

d)

17,280

47.

Which is a factorial?

a)

3!

b)

3a

c)

3?

d)

3*

48.

simplify $\frac{2\left(3!\right)}{6}$

a)

$2$

b)

$5!=120$

c)

$1$

d)

$\frac{1}{6}$

49.

2. 5!

a)

120

b)

110

c)

100

d)

90

50.

Simplify this

a)

12

b)

¾

c)

¼

d)

1!

51.

Can a factorial be defined for a negative number?

a)

YES

b)

NO

52.

simplify $\frac{6!}{3!\ 2!}$

a)

$6\cdot5\cdot2=60$

b)

$5!=120$

c)

$1!=1$

d)

$6$

53.

$83\times82\times81\times80\times79=$

a)

$\frac{83!}{78!}$

b)

$\frac{83!}{79!}$

c)

$\frac{78!}{83}$

d)

$8378$

54.

simplify this

a)

1

b)

a

c)

a+1

d)

1/a

55.

Simplify this

a)

5

b)

1

c)

⅘

d)

5n

56.

Simplify this

a)

6

b)

30

c)

1/5

d)

1/6

57.

What time is it?

a)

7th period

b)

not lunch time

c)

2:30

d)

time to be finished

58.

What time is it?

a)

7th period

b)

not lunch time

c)

2:30

d)

time to be finished

59.

3! x 0! =

a)

0

b)

1

c)

3

d)

6

60.

simplify this

a)

1

b)

a

c)

a+1

d)

1/a

61.

0! =

a)

-1

b)

0

c)

1

d)

none

62.

Can a factorial be defined for a negative number?

a)

YES

b)

NO

63.

Expand 6!

a)

6+5+4+3+2+1

b)

6^.5^.4^.3^.2^.1

c)

4+5+6+7+8+9

d)

6

64.

$\frac{14}{8!-7!}=$

a)

$14$

b)

$\frac{2}{8!}$

c)

$1$

d)

$\frac{2}{7!}$

65.

Simplify this

a)

6

b)

30

c)

1/5

d)

1/6

66.

simplify this

a)

1

b)

a

c)

a+1

d)

1/a

67.

9!-8!

a)

300,560

b)

312,560

c)

322,560

d)

332,560

68.

6! 4!

a)

24

b)

720

c)

12,560

d)

17,280

69.

simplify $\frac{6!}{3!\ 2!}$

a)

$6\cdot5\cdot2=60$

b)

$5!=120$

c)

$1!=1$

d)

$6$

70.

Simplify this

a)

6

b)

30

c)

1/5

d)

1/6

71.

What is 4! called?

a)

Fabulous Four

b)

Final Four

c)

Four Factorial

d)

Four Factored

72.

Simplify this

a)

1

b)

⅓

c)

3

d)

n

73.

$83\times82\times81\times80\times79=$

a)

$\frac{83!}{78!}$

b)

$\frac{83!}{79!}$

c)

$\frac{78!}{83}$

d)

$8378$

74.

Simplify this

a)

90

b)

2

c)

1/2

d)

none of these

75.

6!

a)

6

b)

46656

c)

720

d)

21

76.

Simplify this

a)

a + 1

b)

a

c)

1

d)

1/(a+1)

Math (hard)

Total questions: 76

Worksheet time: 2hrs 14mins

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