Free Printable Math Quiz For Grade 9th and 10th

1.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

2.

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?

a)

{1, 2, 3, 4, 5, 6, 7, 9}

b)

{1, 2, 3, 5}

c)

{4, 6, 7, 9}

d)

{ }

3.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?

a)

{1, 2, 3, 4, 5, 6, 7, 9}

b)

{1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

{1, 2, 3, 5, 6, 7, 9}

d)

{ }

4.

What type of set is denoted as either { } or ∅?

a)

Universal Set

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Complement of a Set

5.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

6.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

7.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

8.

If A={3,4,7,9}, B={1,3,5,8,9,11} and C={2,3,5,6,9,12}. What is A∩C?

a)

{3}

b)

{2,3,4,5,6,7,9,12}

c)

{3,9}

d)

{3,5,9}

9.

If A={3,4,7,9}, B={1,3,5,8,9,11}, and C={2,3,5,6,9,12}

what is B∪C?

a)

{1,3,4,5,7,8,9,11}

b)

{1,2,3,5,6,8,9,11,12}

c)

{3,5,9}

d)

{3}

10.

AUA= ________________

a)

A

b)

U

c)

AUB

11.

AΠA = ____________________

a)

NULL SET

b)

A

c)

AUB

12.

write the name of properties

A ∩ B = B ∩ A

a)

associative

b)

intersection

c)

commutative

13.

write the name of property

A ∪ (B ∪ C) = (A ∪ B) ∪ C.

a)

commutative

b)

associative

c)

distributive

14.

A ∪ ∅ = _______________

a)

A

b)

Φ

c)

AUB

15.

AU∐ = _____________

a)

∐

b)

A⊓B

c)

Φ

16.

A ∪ ∅ = ∅ ∪ A

a)

True

b)

Fasle

17.

According to De-morgan's Law

(A ∪B)' = ____________

a)

A' U B'

b)

A' ∩ B'

c)

(A' U B' ) '

18.

√24 =

a)

4√6

b)

2√6

c)

6√2

d)

2√12

19.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

20.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

21.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

22.

What is the BASE and ANSWER to this problem 5²?

a)

Base 2, Answer 10

b)

Base 5, Answer 25

c)

Base 5, Answer 10

d)

Base 2, Answer 25

23.

What is 4⁵ in expanded form?

a)

5 x 5 x 5 x 5

b)

4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5 x 5

d)

4 x 4 x 4 x 4 x 4

24.

The exponent tells me...

a)

the answer

b)

the trick

c)

the number of times to multiply the base (factor)

d)

The number of days in a week

25.

Which is equivalent to 7x7x7x7x7x7

a)

7⁶

b)

6⁷

c)

7⁷

d)

7⁵

26.

Which is greater?

2⁷ or 7²

a)

2⁷

b)

7²

c)

neither

27.

What number is the EXPONENT?

2³=8

a)

2

b)

3

c)

8

28.

2⁵ is the same as 2 x 5.

a)

True

b)

False

29.

20 x 20 x 20 in exponential form is

a)

20 x 3

b)

20³

c)

3²⁰

30.

To square a number is to use what mathematical operation?

a)

Division

b)

Subtraction

c)

Multiplication

d)

Addition

31.

Simplify
(-x)(-x)(-x)(-x)(-x)(-x)

a)

6

b)

6x⁶

c)

1/x⁶

d)

x⁶

32.

Exponent law

(xy)^m_{= ____________________}

a)

x^m × y^m

b)

x^my

c)

x^m + y^m

33.

x ^-3 = ______________

a)

1 /3x

b)

1 / x ³

c)

x³/1

34.

x ⁵ × x² = _________

a)

x⁷

b)

x¹⁰

c)

x⁵²

35.

(x³)² = ___________________

a)

x⁵

b)

x⁶

c)

x^-1

36.

∛x = ________________

a)

x^1/2

b)

x^1/3

c)

x²

37.

log_a mn = _________________

a)

log_am + log_a n

b)

log_a m . log_a n

c)

log m - log n

38.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

39.

a)

log(x) + log(z) + 4log(y)

b)

3log(x) − log(z) − 4log(y)

c)

3log(x) + log(z) + 4log(y)

d)

log(x) − 4log(z) − 3log(y)

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

If log_a8 = b, which of the following is true?

a)

a^b = 8

b)

b^a = 8

c)

a⁸ = b

d)

8^b = a

43.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

44.

Evaluate the following logarithm:

log₃27

a)

3

b)

2

c)

-3

d)

¹/₃

45.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

46.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

47.

Rewrite log_b(xⁿ)

a)

nlog_bx

b)

(log_bx)ⁿ

c)

xⁿlog_bx

d)

log_b(xⁿ)

48.

change logarithm to exponential form:

log₆36 = 2

a)

(2)⁶ =64

b)

(6)² =36

c)

(4)⁹ = 36

49.

$\log_{a_{ }}\ \frac{m}{n}\ \ =\$

a)

$\log_{a\ \ }m\ \ \ -\ \ \ \log_a\ \ n$

b)

$\log_{ca_{ }}m\ \ \ +\ \ \log_a\ n$

c)

$\log_am\ \times\ \log_{a\ }n$

50.

Write in exponential form.
log₂(¹/₈) = -3

a)

2^-3 = ¹/₈

b)

2^1/8= -3

c)

-3² = ¹/₈

d)

-3^1/8 = 2

51.

Convert 10^(x+5)=100 to logarithmic form.

a)

log₁₀₀=x+5

b)

log(x+5)=100

c)

log(100)=x+5

d)

log_(x+5)(100)=10

52.

Which of the following is true?

a)

(a-b)² = a² - b²

b)

(a + b)² = a² + 2ab + b²

c)

(a - b)²= a² - 2ab - b²

d)

(a + b) (a - b) = a² - 2ab + b²

53.

A letter that represents a number.

a)

Addition

b)

Expression

c)

Algebra

d)

Variable

54.

(a + b)²

a)

a² + 2ab + b²

b)

a² - 2ab + b²

c)

(a + b) (a – b)

55.

(a – b)²

a)

(a + b) (a – b)

b)

(a + b)²

c)

a² – 2ab + b²

56.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

57.

Factorise

k²-2k+1

a)

(k⁴+2)²

b)

(k²+1)²

c)

(k-1)²

58.

Factorise

4 - a²

a)

(a+2)(a-2)

b)

(2a+a)(2a-1)

c)

(2+a)(2-a)

d)

(a²+2)(a²+2)

59.

FACTORISE

ax + bx + x

a)

x(a + b + 1)

b)

x(a + b)

c)

x(x + b + a)

d)

x(x + b + 1)

60.

Factorise:

a² - b²

a)

(a + b)(a - b)

b)

(a - b)(a - b)

c)

(a + b)(a + b)

d)

None of these

61.

Factorise:

a² + b²

a)

None of these

b)

(a +b)(a - b)

c)

(a - b)(a - b)

d)

(a + b)(a + b)

62.

Factorise fully:

a(c - d) + b(c - d)

a)

(a + b)(c - d)

b)

(a + b)(d - c)

c)

(a - b)(c - d)

d)

(a - b)(c + d)

63.

$\left(a+b+c\right)^2\ =$

a)

$a^2+b^2+c^2+2ab+2bc+2ac$

b)

$a^2-b^2-c^2+2abc$

c)

$a^2-b^2+c^2+2abc$

64.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

65.

factorar y³ - 1

a)

(a -1 ) . (a² + 2a + 4 )

b)

(y -1 ) . (y² + y + 1 )

c)

(y² -1 ) . (y² + 2y + 4 )

d)

(y -1 ) . (y² + 1 + 4 )

66.

The factorisation of 4x + 16 is _______

a)

4(x + 4)

b)

4(x - 4)

c)

x + 4

d)

4x + 4

67.

(x + 1) (x + 1) is a factor of ____

a)

x² + 2x + 1

b)

x² - 2x + 1

c)

x² - 1 + 2x

d)

x² + 1 - 2x

68.

$\left(a\ +\ b\right)^2$ = _______________________________

a)

$a^2-2ab+b^2$

b)

$a^2+2ab+b^2$

c)

$a^2-2ab-b^2$

69.

(a - b)² = _________________________________

a)

$a^2-2ab+b^2$

b)

$a^2+\ 2ab\ -b^2$

c)

$a^2-2ab-b^2$

70.

a² + b² = ___________________

a)

$\left(a\ +b\right)^2\ \ -\ 2ab$

b)

$\left(a\ -b\right)^2\ \ -\ 2ab$

c)

$\left(a^2\ -\ b^2\right)\ +2ab$

71.

$a^3+b^3+c^3-3abc$ = _______________________

a)

$\left(a+b+c\right)\left(a^2+b^2+c^2-2ab+2bc+2ac\right)$

b)

$\left(a+b+c\right)\left(a^2+b^2+c^2-2ab-2bc-2ac\right)$

c)

$\left(a-b+c\right)\left(a^2-b^2+c^2-2ab+2bc+2ac\right)$

72.

$2\left(a^2+b^2\right)\ =\$ __________________________________

a)

$\left(a\ +b\right)^2\ -\ \left(a\ -b\right)^2$

b)

$\left(a+b\right)^2\ +\ \left(a-b\right)^2$

c)

$\left(a-b\right)^2\ \ +\left(a-b\right)^2$

73.

$a^3\ +b^3\ =\$ _______________________

a)

$\left(a+b\right)\ \left(\ a^2-ab\ +b^2\right)$

b)

$\left(a+b\right)\ \left(\ a^2-ab\ -b^2\right)$

c)

$\left(a+b\right)\ \left(\ a^2-ab\ +b^2\right)$

74.

$a^3\ -b^3\ =\$ _______________________

a)

$\left(a-b\right)\ \left(\ a^2+ab\ +b^2\right)$

b)

$\left(a+b\right)\ \left(\ a^2-ab\ -b^2\right)$

c)

$\left(a+b\right)\ \left(\ a^2-ab\ +b^2\right)$

75.

Find the determinant of the following matrix.

a)

-7

b)

7

c)

-23

d)

23

76.

Find the determinant of the following matrix.

a)

-32

b)

32

c)

48

d)

-48

77.

Example 1:

Find the median of 12, 34, 8, 16, 25, 3 and 10

Arrange the data in an increasing order.

3, 8, 10, 12, 16, 25, 34

The middle number is 12

What is the median?

(a)

78.

Find the median for the set of numbers:

23, 37, 11, 58, 13, 45

a)

30

b)

23

c)

37

d)

28

79.

Find the median for the set of numbers:

41, 13, 21, 83, 54, 37, 18, 66, 72

a)

44

b)

37

c)

54

d)

41

80.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

24

d)

-24

81.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

82.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

83.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

84.

which of the quadratic formula from the following.

a)

$x=+b\pm\frac{\sqrt{b^2}-4ac}{2a}$

b)

$x=-b+\frac{\sqrt{b^2}-4ac}{2}$

c)

$x=-b\pm\frac{\sqrt{b^{2\ }-\ 4ac}}{2a}$

85.

Find the mean of the numbers below:

4, 9, 7, 10, 5

a)

5

b)

6

c)

7

d)

8

86.

What is the mean of these numbers?
4,5,5,2,3,3,2,8

a)

40

b)

24

c)

4

d)

256

87.

What is the mean for these numbers?
5,5,5,5

a)

5

b)

20

c)

15

d)

100

88.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

89.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

90.

$\csc\ x=$

a)

$\frac{1}{\cos\ x}$

b)

$\sin\ x$

c)

$\frac{1}{\sin\ x}$

d)

$\cos\ x$

91.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

92.

Solve the following for cos²θ:
sin²θ + cos²θ = 1

a)

cos²θ = 1 - sin²θ

b)

cosθ = 1 + sin²θ

c)

cosθ = 1 - sinθ

d)

cos²θ = Adj/hyp

93.

Solve the following for tan²θ:
1 + tan²θ = sec²θ

a)

tan²θ = sec²θ + 1

b)

tan²θ = sec²θ - 1

c)

tanθ = secθ - 1

d)

tan²θ = opp/adj

94.

cot θ = __________________________

a)

$\frac{\cos\ \theta}{\sin\ \theta}$

b)

$\frac{\sin\ \theta}{\cos\ \theta}$

c)

$\frac{\tan\ \theta}{\sin\ \theta}$

95.

1 + cot² θ = ______________________

a)

Cosec² θ

b)

Tan² θ

c)

Sec² θ

96.

Calculate

a)

5

b)

4.5

c)

8

d)

10

97.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

98.

solve for c

a)

7

b)

9

c)

4

d)

13

99.

Find x.

a)

35

b)

20

c)

8

d)

12

100.

which pythagoras formula is correct from the following?

a)

(Hyp)²= (Base)² + ( Perp)²

b)

(Base)²= (Hyp)² + ( Perp)²

c)

(Hyp)²= (Base)² - (Perp)²

Math Quiz For Grade 9th and 10th

Total questions: 100

Worksheet time: 3hrs 32mins

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