Free Printable Mathematics Quiz

1.

It has integers as its square roots.

a)

Perfect square

b)

Rational Number

c)

Perfect Cube

d)

Real Number

2.

It is any number that can be written as a ratio of two integers.

a)

Perfect square

b)

Rational Number

c)

Perfect Cube

d)

Real Number

3.

It is a decimal in which one or more digits repeat infinitely.

a)

Repeating Decimal

b)

Terminating Decimal

c)

Decimal Fraction

d)

Decimal Place Value

4.

It is the set of rational and irrational numbers.

a)

Imaginary Numbers

b)

Real Numbers

c)

Counting Numbers

d)

Number Theory

5.

It is a method of writing very large or very small numbers by using powers of 10.

a)

Decimal Number

b)

Scientific Notation

c)

Percentage

d)

Ratio

6.

What is the value of x.

x² = 225

a)

14

b)

16

c)

17

d)

15

7.

Estimate the value of square root of 42.

a)

Between 2 and 3

b)

Between 3 and 4

c)

Between 6 and 7

d)

Between 10 and 12

8.

Which of the following best describes an irrational number.

a)

The circumference of a flying pan with a diameter of 3.5 inches.

b)

The number of people wearing glasses in a room

c)

The number of people without ID

d)

The number of seconds remaining when a song is playing, displayed as a negative number.

9.

What do you call a polynomial that cannot be factored?

a)

FOIL

b)

Simplified

c)

Prime

d)

Proper

10.

Which of the following is NOT a way how to read the given exponent. 3²

a)

Three to the second power

b)

Three raised to second power

c)

Three raised to two times

11.

It is the process of expressing an algebraic expression as a product of two or more algebraic expressions.

a)

Factoring

b)

Special Product

c)

Synthetic Division

d)

Expansion

12.

All irrational numbers are real numbers

a)

True

b)

False

13.

Real numbers can be used to represent real-world quantities.

a)

True

b)

False

14.

An exponent is a number written on the upper left corner of another number called base.

a)

True

b)

False

15.

An exponent tells how many times the base will be used as a factor.

a)

True

b)

False

16.

A power raised by another power, we multiply the exponents.

a)

True

b)

False

17.

Any number raised to Zero except zero is equal to one.

a)

True

b)

False

18.

Any number raised by a negative power, we get the reciprocal and keep a positive exponent

a)

True

b)

False

19.

To factorize algebraic expressions, we will need to identify the common factors.

a)

True

b)

False

20.

A polynomial is said to be factored completely when it is written as a product of its prime factors.

a)

True

b)

False

21.

Convert to a decimal: 6/25

a)

.24

b)

.34

c)

.32

d)

.5

22.

Convert to a decimal: 15/100

a)

.02

b)

.15

c)

.2

d)

2.0

23.

Convert to a decimal 12/20

a)

.90

b)

.6

c)

.70

d)

.75

24.

$1\ \frac{5}{9}$

a)

1.5

b)

$\overline{1.5}$

c)

$1.\overline{5}$

d)

1.55

25.

Convert the fraction to a decimal: $\frac{8}{11}$

a)

$.\overline{16}$

b)

.72

c)

.16

d)

$.\overline{72}$

26.

Convert the following decimal into a fraction.

0.08\overline{3}

a)

1/10

b)

1/11

c)

1/12

d)

1/13

27.

Convert the following decimal into a fraction.

0.\overline{36}

a)

4/9

b)

4/11

c)

4/13

d)

3/13

28.

$\left(f^{-3}g^5h^8\right)^{-3}$

a)

$f^9g^5h^8$

b)

$f^{-6}g^2h^5$

c)

$\frac{g^2h^5}{f^6}$

d)

$\frac{g^9}{g^{15}h^{24}}$

29.

$\left(\frac{3x^4}{y^6}\right)^5$

a)

$\frac{15x^{20}}{y^{30}}$

b)

$\frac{3x^{20}}{y^6}$

c)

$\frac{243x^{20}}{y^{30}}$

d)

$\frac{243x^9}{y^{11}}$

30.

$\frac{x^3\cdot x^4}{x^2}$

a)

$\frac{x^7}{x^2}$

b)

$\frac{1}{x^{10}}$

c)

$x^5$

d)

$x^{-5}$

31.

$\frac{5x^{-4}}{x^{-9}}$

a)

$5x^5$

b)

$5x^{-13}$

c)

$\frac{5}{x^5}$

d)

$\frac{1}{5x^5}$

32.

$\frac{x^5}{x^2}$

a)

$x^3$

b)

$x^{10}$

c)

$x^3$

d)

$\frac{1}{x^3}$

33.

27⁰

a)

1

b)

0

c)

27

34.

Simplify:
(7y⁴)²

a)

7y⁶

b)

14y⁸

c)

14y⁶

d)

49y⁸

35.

Simplify:
(5ab²)²

a)

25a²b⁴

b)

10a²b⁴

c)

5a²b⁴

d)

25ab²

36.

Simplify: (3x²)³

a)

27x⁶

b)

9x⁶

c)

3x⁶

d)

9x⁵

37.

Factor by grouping:
$x^3-4x^2-4x+16$

a)

$\left(x+4\right)\left(x+2\right)$

b)

$\left(x-4\right)\left(x^2-4\right)$

c)

$\left(x+4\right)\left(x^2-4\right)$

d)

$\left(x-4\right)\left(x-2\right)$

38.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

39.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

40.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

41.

Factor $x^2\ -\ 100$

a)

$\left(x\ +\ 50\right)\left(x\ -\ 50\right)$

b)

$\left(x\ +\ 10\right)\left(x\ -\ 10\right)$

c)

$\left(x\ +\ 4\right)\left(x\ -\ 25\right)$

d)

$\left(x\ -\ 10\right)^2$

42.

Factor $4x^{2\ }-\ 1$

a)

$\left(x\ -\ 1\right)\left(x\ +1\right)$

b)

$\left(2x\ -\ 1\right)^2$

c)

$\left(2x\ +\ 1\right)\left(2x\ -\ 1\right)$

d)

$\left(2x\ +\ 1\right)^2$

43.

Factor:

$p^2-12p+32$

a)

(p - 4)(p - 8)

b)

(p - 6)(p - 6)

c)

(p + 4)(p - 8)

d)

(p - 2)(p - 16)

44.

Factor:

$y^2+y-30$

a)

(y + 6)(y - 5)

b)

(y - 6)(y + 5)

c)

(y + 10)(y - 3)

d)

(y + 5)(y - 6)

45.

Factor:

$s^2-17s-60$

a)

(s - 25)(s + 5)

b)

(s - 10)(s + 6)

c)

(s - 15)(s + 4)

d)

(s - 20)(s + 3)

46.

Factor:

$u^2-7u+12$

a)

(u - 2)(u - 5)

b)

(u - 1)(u - 12)

c)

(u + 3)(u + 4)

d)

(u - 3)(u - 4)

47.

Factor:
x² - 15x + 50

a)

(x - 10)(x - 15)

b)

(x - 10)(x - 5)

c)

(x - 25)²

d)

(x - 5)²

48.

Factor: n²- 2n + 1

a)

(n + 1)(n - 1)

b)

(n + 1)²

c)

prime

d)

(n - 1)²

49.

Factor:
x² - 4x + 24

a)

prime

b)

(x + 6)(x - 4)

c)

(x - 8)(x - 3)

d)

(x - 12)(x - 2)

50.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

51.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

52.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

53.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

54.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

55.

Factor: x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

56.

Factor completely

$y^2-12y+36$

a)

$\left(y-6\right)^2$

b)

$\left(y+6\right)^2$

c)

$\left(y-36\right)^2$

d)

Cannot be factored further

57.

Factor completely

$a^2+8a+16$

a)

$\left(a+4\right)^2$

b)

$\left(a-4\right)^2$

c)

$\left(a+16\right)^2$

d)

Cannot be factored further

58.

Factor:

10a⁴+ 16a + 10a²

a)

2a(5a³+ 8 + 5a)

b)

2a⁴(5a + 8a²+ 5a³)

c)

2a⁴(10 + 16a + 40a²)

d)

3a³(5 + 8a + a²)

59.

Factor
4n²-17n-15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

60.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

61.

Factor Completely: 6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

(2x - 3)(3x + 2)

d)

(3x - 2)(2x + 3)

62.

Factor Completely $x^2-25$

a)

$\left(x-5\right)\left(x+5\right)$

b)

$\left(x-25\right)\left(x+25\right)$

c)

PRIME

d)

$x\left(x-25\right)$

63.

Factor $49n^2-25$

a)

Not Factorable

b)

$(3n+5)(3n-5)$

c)

$(7n+5)(7n-5)$

d)

$(5n+7)(5n-7)$

64.

Factor $4x^2-9$

a)

$(4x-9)(4x+9)$

b)

$(2x-3)(2x+3)$

c)

$2x-3$

d)

$(2x-4.5)(2x+4.5)$

65.

Factor 3x²+ 6x + 4x + 8

a)

(x+2)(3x+4)

b)

(x -2)(4x+ 3)

c)

(x+2)(3x - 4)

d)

(x+2)(2x+3)

Mathematics Quiz

Total questions: 65

Worksheet time: 1hrs 21mins

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