Free Printable Math

1.

Derived from the Arabic word “al-jabr”, which means “restoration” or “completion”.

a)

ALGEBRA

b)

ELGEBRA

c)

ALGABRA

d)

ALGEBRE

2.

A clay tablet for table of Pythagorean triples and represents some of the most advanced mathematics prior to Greek mathematics. It was invested by the Babylonians.

a)

PLIMPTON 322

b)

RHIND PAPYRUS

c)

ABACUS

d)

SAMSUNG GALAXY TAB 4

3.

He is known as the “Father of Modern Algebra”.

a)

FRANCOIS VIETE

b)

MUHAMMAD IBN MUSA AL-KHWARIZMI

c)

REY CARLOS DELA CRUZ

d)

ALBERT EINSTEIN

4.

He is known as the “Father of Algebra”.

a)

FRANCOIS VIETE

b)

MUHAMMAD IBN MUSA AL-KHWARIZMI

c)

REY CARLOS DELA CRUZ

d)

ALBERT EINSTEIN

5.

It is a number with a fixed value, that is, a value that does not change.

a)

CONSTANT

b)

VARIABLE

c)

TERM

d)

ALGEBRAIC EXPRESSION

6.

Is made up of two expressions connected by an equal sign.

a)

TERM

b)

EXPRESSION

c)

EQUATION

d)

VARIABLE

7.

TRANSALTE: Nine less than a number z.

a)

z - 9

b)

9 - z

c)

z + 9

d)

9 + z

8.

TRANSLATE: The difference of twice a number x and 3.

a)

2x - 3

b)

3 - 2x

c)

2x - 2(3)

d)

x - 23

9.

An algebraic expression is NOT a polynomial if: (CHOOSE 3 CORRECT ANSWER)

a)

The exponent of the variable is not a whole number (0, 1, 2, 3, …)

b)

The variable is inside radical sign

c)

The variable is in the denominator.

d)

The exponent of the variable is not a negative signed number

10.

$3x^2\ +\ \sqrt{2x}-7$

a)

POLYNOMIAL

b)

NOT

11.

Polynomial of degree four.

a)

QUADRATIC

b)

CUBIC

c)

QUARTIC

d)

QUINTIC

12.

Identify the classification of the given polynomial according to number of terms and degree $5x^5-6x^3+2x^2+4x-8$

a)

Quintic Polynomial

b)

Quartic Polynomial

c)

Quadratic Polynomial

d)

Linear Polynomial

13.

Find the value of (x – 2y) + 4 if x = 20 and y = 4.

a)

16

b)

6

c)

-16

d)

-6

14.

ADD: $4x^2-1+x\ +8+3x^2-12x$

a)

$7x^2-11x+7$

b)

$7x^2-11x-7$

c)

$7x^2+11x+7$

d)

$7x^2+11x-7$

15.

$Subtract\ 7x-5x^2y\ from\ 3y-4x+6x^2y$

a)

$11x^2y-11x+3y$

b)

$11x^2y-11x-3y$

c)

$11x^2y+11x+3y$

d)

$11x^2y+11x-3y$

16.

What is the missing number?

___ − 2 = 4

a)

5

b)

4

c)

2

d)

6

17.

x+5=12

What is the value of x

a)

2

b)

7

c)

10

d)

-7

18.

Which equation is equivalent to :

"The sum of three and five is equal to eight"

a)

3+5=x

b)

3+4=7

c)

3+5=8

d)

3+6=9

19.

Which is the equivalent equation of :

"The product of six and seven is equal to forty-two"

a)

6x7=54

b)

6x7=42

c)

6x-7=-42

d)

6x7=-42

20.

Which is the mathematical expression for:

"the difference of n and one"

a)

n-1=2

b)

n-1

c)

n+1

d)

n*1

21.

Which is the equivalent expression for:

"the quotient of x and y"

a)

xy

b)

x+y

c)

x/y

d)

x-y

22.

Determine if this is an expression or an equation:

16−6=10

a)

equation

b)

expression

23.

Determine if this is an expression or an equation:

y+8=40

a)

equation

b)

expression

24.

Which is equivalent expression of:

2n+3

a)

thrice of 2 added to 3

b)

twice of 3 added to 2

c)

twice of 2 added by 3

d)

twice of n added by 3

25.

Which is the correct expression for:

2(x+4)

a)

twice the sum of x and 4

b)

twice the difference of x and 4

c)

twice the product of x and 4

d)

twice the sum of 2 and 4

26.

El resultado de multiplicar (3x-2)(3x+2) es:

a)

9x² - 4

b)

9x²-12x+4

c)

9x²+4

d)

9x²+12x-4

27.

Opera:
(x²+5x-2)(4x+3) =

a)

4x³+23x²+7x-6

b)

4x³+3x²+7x-6

c)

x³+23x²+7x-6

28.

Opera y reduce:

3x(2x²-4x+2)-(5x² -7x -8)=

a)

x² - 19x - 2x

b)

6x³ -17x² + 13x + 8

c)

6x³ + 7x² - 13x + 8

d)

5x³ - 19x² - x - 8

29.

Efectúa la siguiente división:
15xyz : 3xy=

a)

5z

b)

5xyz

c)

5xy

d)

15z

30.

Multiplica: 2x(x+1)

a)

2x² + 2x

b)

2x

c)

2x+2

d)

2x³+1

31.

2x·5x³·(-2x⁷)

a)

5x¹¹

b)

5x¹⁰

c)

-20x¹⁰

d)

-20x¹¹

32.

a)

-10

b)

7

c)

-8

d)

6

33.

a)

X³

b)

X²

c)

2X

d)

4x²

34.

a)

-bc

b)

-10ba

c)

-10bc

d)

ba

35.

Si: P_(y) = 2y² – 5y + 4 ; Q_(y) = 3y² – 7y + 6

Calcular: 3P_(y) – 2Q_(y)

a)

2y

b)

3y+2

c)

y

d)

-y

36.

Reducir: 2(x + 4) – 3 (x + 3) + 4 (x – 2)

a)

2x-4

b)

3x-9

c)

5x+1

d)

x-8

37.

a)

x⁵-2x+3

b)

x⁵-5x+3x²

c)

x⁹-2x+3

d)

x-3

38.

a)

x⁴+15x³-x²+10x-9

b)

5x³+15x²-x

c)

12x⁴+15x³-x²+10x-6

d)

7x²+10x-6

39.

a)

7a²bc³

b)

-12a²b²c

c)

8ab²c³

d)

-24a²b²c³

40.

a)

3mn⁵+1

b)

mn³-2

c)

n⁵+1

d)

3m³n⁷+1

41.

Hallar el área de un cuadrado cuyo lado mide 2x²y³

a)

-x⁴y⁶

b)

8x⁴y⁶

c)

4x²y³

d)

4x⁴y⁶

42.

Si el área de un rectángulo es 144a⁵b⁷c³ y su ancho mide 9a³b³c³. Hallar la medida de su largo.

a)

a⁸b⁴

b)

8a²b³

c)

6a²

d)

16a²b⁴

43.

Si el lado de un cuadrado mide 4a³b⁴c. Hallar su perímetro

a)

5a³bc

b)

16abc

c)

16a³b⁴c

d)

b⁴c

44.

Resolver lo siguiente: 150 a⁷b⁴c² : 5 a⁵b³c²

a)

22a²c

b)

30a²b

c)

15a²b³

d)

30b

45.

a)

13x¹⁷y²³z⁸

b)

10x¹⁵y²³z⁶

c)

13x²³z⁸

d)

15x¹⁷y²⁷z⁸

46.

Find the circumference of the circle. Use 3.14 for π.

a)

63.585 in²

b)

28.26 in

c)

14.13 in

d)

4.5 in

47.

Find the circumference of the circle. Use 3.14 for π.

a)

63.585 in²

b)

28.26 in

c)

14.13 in

d)

4.5 in

48.

What type of angle is shown?

a)

Acute Angle

b)

Obtuse Angle

c)

Right Angle

d)

Straight Angle

49.

Classify the triangle by its angles.

a)

Acute Triangle

b)

Obtuse Triangle

c)

Right Triangle

d)

Equilateral Triangle

50.

What is the value of x?

a)

40^o

b)

65^o

c)

180^o

d)

55^o

51.

If ∢3 is 35^o, what is ∢4?

a)

35^o

b)

51^o

c)

45^o

d)

23^o

52.

Classify the pair of angles.

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Obtuse Angles

53.

Classify the triangle by its angles and sides.

a)

Obtuse Right Triangle

b)

Acute Scalene Triangle

c)

Acute Isosceles Triangle

d)

Obtuse Scalene Triangle

54.

Find the value of x.

a)

180^o

b)

126^o

c)

42^o

d)

90^o

55.

Classify the pair of angles.

a)

Complementary Angles

b)

Supplementary Angles

c)

Neither

56.

What is the area of the triangle?

a)

252 cm²

b)

120 cm²

c)

240 cm²

d)

126 cm²

57.

What is the area of the shape?

a)

35 units²

b)

70 units²

c)

56 units²

d)

28 units²

58.

Classify the triangle by its angles.

a)

Right Triangle

b)

Obtuse Triangle

c)

Acute Triangle

d)

Equilateral Triangle

59.

Classify the pair of angles as complementary, supplementary, or neither.

a)

Complementary Angles

b)

Supplementary Angles

c)

Neither

60.

Find the area of the shape.

a)

5.0 m²

b)

4.3 m²

c)

4.5 m²

d)

3.6 m²

61.

Find the area of the circle.

a)

314 m²

b)

1256 m²

c)

62.8 m²

d)

23.1 m²

62.

Find the area of the circle.

a)

452.16 cm²

b)

18.84 cm²

c)

113.04 cm²

d)

37.68 cm²

63.

Find the volume of the prism.

a)

120 in³

b)

60 in³

c)

15 in³

d)

130 in³

64.

Find the volume of figure.

a)

180 cm³

b)

90 cm³

c)

160 cm³

d)

80 cm³

65.

Find the volume of the prism.

a)

84 ft³

b)

42 ft³

c)

140 ft³

d)

70 ft³

66.

What is the volume of the pyramid?

a)

336 in³

b)

112 in³

c)

56 in³

67.

What is a line?

a)

A straight line

b)

A straight, continuos, infinite collection of points

c)

chocolate chips

d)

A dot

68.

What is a ray?

a)

The shared end point of the sides of an angle

b)

A tool used to measure an angle

c)

Part of a line with an endpoint

d)

The shared end point of the sides of an angle

69.

What is an obtuse angle?

a)

Angles whose measures add up to 180º

b)

Angles that measures add up to 90º

c)

Angle with a measure between 90º and 180º

d)

Is the "if" part of the conditional statement

70.

What is a line segment?

a)

A geometric figure

b)

Part of a line with two endpoint

c)

A shared end point of the sides of a angle

d)

Two angles that are opposite of each other

71.

What is a protractor ?

a)

A thing

b)

A shared end point of the sides of an angle

c)

A tool used to measure an angle

d)

Angle with a measure

72.

What is a vertex?

a)

Angle with a measure between 90º and 180º

b)

A statement that can be accepted without proof

c)

A statement that can be proven and that can also be used in later proof

d)

The shared end point of the sides of an angle

73.

What is a right angle

a)

Angle measure 90º

b)

A triangle

c)

The middle point of an angle

74.

What is a midpoint?

a)

IDEK

b)

A thing

c)

The middle point of an angle

d)

help

75.

What is an algebraic proof?

a)

Exp.

b)

Proofs using algebra

c)

Proof

d)

a proof

76.

What is a theorem?

a)

A statement that can be accepted without proof

b)

A statement that can be proven and that can also be used in later proof

c)

all of the above

d)

other

77.

What is the congruent supplements theorem?

a)

If angles are complementary to the same angle then those two angles are congruent

b)

If S in the interior angle PQR then angle SQR = angle PQR

c)

If angles are supplementary to the same angle those two angles are congruent

d)

All right angles are congruent

78.

What is perpendicular's meaning?

a)

not sure

b)

Two angles that intersect and form a right angle

c)

An upside down T

d)

Life

79.

What is the congruent complements theorem

a)

If angles are complementary to the same angle then those two angles are congruent

b)

If angles are complementary to the same angle then those two angles are congruent

c)

If angles are complementary to the same angle then those two angles are congruent

d)

If angles are complementary to the same angle then those two angles are congruent

80.

The middle value when a data set is ordered from least to greatest.

a)

Median

b)

Mean

c)

Mode

d)

Range

81.

What is the mean of the data set 2, 4, 7, 7, 10?

a)

4

b)

5

c)

6

d)

7

82.

Assume 10 students got the following test scores:

58, 98, 81, 59, 67, 81, 94, 84, 46, 32. Find the median of the scores.

a)

71

b)

72

c)

73

d)

74

83.

Assume 10 students got the following test scores:

58, 98, 81, 59, 67, 81, 94, 84, 46, 32. Find the mode of the scores.

a)

32

b)

94

c)

81

d)

67

84.

The mean of a set of 40 numbers is 85, and the mean of another set of 50 numbers is 76.

What is the mean when the two sets are combined?

a)

70

b)

80

c)

90

d)

100

85.

Type of central tendency measures which divides data set into 100 equal parts

a)

Quartiles

b)

Deciles

c)

Percentiles

d)

Multiple pile of data

86.

Anna got a score of 55 which is equivalent to 70th percentile in a Mathematics test. Which of the following is NOT true?

a)

She scored above 70% of her classmates.

b)

Thirty percent of the class got scores of 55 and above.

c)

If the passing mark is the first quartile, she passed the test.

d)

Her score is below 5th decile.

87.

In the set of 14, 17, 10, 22, 19, 24, 8, 12, and 19, the median score is ____

a)

17

b)

19

c)

24

d)

22

88.

Number which occurs most often in a given set of numbers.

a)

Mean

b)

Median

c)

Mode

d)

Range

89.

A collection or a set of possible outcomes of a random experiment.

a)

Standard Deviation

b)

Range

c)

Events

d)

Sample Space

90.

What is the median of the numbers a + 1, a + 3, a − 2, a + 5, and a − 4?

a)

a - 4

b)

a + 1

c)

a - 2

d)

a + 3

91.

The mean of a set of 3 numbers is 100. If 85 is removed from the set, what is the new mean?

a)

104.5

b)

105.5

c)

106.5

d)

107.5

92.

The median of the observations 11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41 arranged in ascending order is 24. Find the value of x.

a)

21

b)

22

c)

23

d)

24

93.

The mean of 10 numbers is 20. If 5 is subtracted from each number, what will be the new mean?

(a)

94.

Given the set of data 7, 25, 9, 23, 19, 31,20, calculate for the range.

(a)

95.

The officers of a math club will pay equal contributions to buy a cake worth Php480 for their moderator. If there were two more officers, their contribution will be reduced by Php12 each. How many officers are there?

a)

12

b)

10

c)

8

d)

6

96.

In a group of 200 students, 45 are swimmers, 36 are runners, and 62 are cyclists. There are also 18 who swim and run, 22 who run and cycle, 13 who swim and cycle, and 6 who do all three. How many students do at most one of the three given activities?

a)

159

b)

160

c)

161

d)

162

97.

In a class, half of the students took Geography while three-fifths took Statistics. If 8 students took both and four students did not choose any of the two subjects, how many students are there in class?

a)

30

b)

35

c)

40

d)

45

98.

What is the value of x, if the numbers x, 2x, 3, 6, 4, 4, 3, 9 have a mean of 7 and median 5?

(a)

99.

The mean of six consecutive odd integers is 4. What is the smallest of the six integers?

(a)

100.

The middle value when a data set is ordered from least to greatest.

a)

Median

b)

Mean

c)

Mode

d)

Range

101.

What is the mean of the data set 2, 4, 7, 7, 10?

a)

4

b)

5

c)

6

d)

7

102.

Assume 10 students got the following test scores:

58, 98, 81, 59, 67, 81, 94, 84, 46, 32. Find the median of the scores.

a)

71

b)

72

c)

73

d)

74

103.

Assume 10 students got the following test scores:

58, 98, 81, 59, 67, 81, 94, 84, 46, 32. Find the mode of the scores.

a)

32

b)

94

c)

81

d)

67

104.

The mean of a set of 40 numbers is 85, and the mean of another set of 50 numbers is 76.

What is the mean when the two sets are combined?

a)

70

b)

80

c)

90

d)

100

105.

Type of central tendency measures which divides data set into 100 equal parts

a)

Quartiles

b)

Deciles

c)

Percentiles

d)

Multiple pile of data

106.

Anna got a score of 55 which is equivalent to 70th percentile in a Mathematics test. Which of the following is NOT true?

a)

She scored above 70% of her classmates.

b)

Thirty percent of the class got scores of 55 and above.

c)

If the passing mark is the first quartile, she passed the test.

d)

Her score is below 5th decile.

107.

In the set of 14, 17, 10, 22, 19, 24, 8, 12, and 19, the median score is ____

a)

17

b)

19

c)

24

d)

22

108.

Number which occurs most often in a given set of numbers.

a)

Mean

b)

Median

c)

Mode

d)

Range

109.

A collection or a set of possible outcomes of a random experiment.

a)

Standard Deviation

b)

Range

c)

Events

d)

Sample Space

110.

What is the median of the numbers a + 1, a + 3, a − 2, a + 5, and a − 4?

a)

a - 4

b)

a + 1

c)

a - 2

d)

a + 3

111.

The mean of a set of 3 numbers is 100. If 85 is removed from the set, what is the new mean?

a)

104.5

b)

105.5

c)

106.5

d)

107.5

112.

The median of the observations 11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41 arranged in ascending order is 24. Find the value of x.

a)

21

b)

22

c)

23

d)

24

113.

The mean of 10 numbers is 20. If 5 is subtracted from each number, what will be the new mean?

(a)

114.

Given the set of data 7, 25, 9, 23, 19, 31,20, calculate for the range.

(a)

115.

The officers of a math club will pay equal contributions to buy a cake worth Php480 for their moderator. If there were two more officers, their contribution will be reduced by Php12 each. How many officers are there?

a)

12

b)

10

c)

8

d)

6

116.

In a group of 200 students, 45 are swimmers, 36 are runners, and 62 are cyclists. There are also 18 who swim and run, 22 who run and cycle, 13 who swim and cycle, and 6 who do all three. How many students do at most one of the three given activities?

a)

159

b)

160

c)

161

d)

162

117.

In a class, half of the students took Geography while three-fifths took Statistics. If 8 students took both and four students did not choose any of the two subjects, how many students are there in class?

a)

30

b)

35

c)

40

d)

45

118.

What is the value of x, if the numbers x, 2x, 3, 6, 4, 4, 3, 9 have a mean of 7 and median 5?

(a)

119.

The mean of six consecutive odd integers is 4. What is the smallest of the six integers?

(a)

120.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

121.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

122.

To find the _________ you add up all the numbers and then divide by how many numbers you have.

a)

Mean

b)

Median

c)

Mode

d)

Range

123.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

a)

Mean

b)

Median

c)

Mode

d)

Range

124.

Find the median.
12, 5, 9, 18, 22, 25, 5

a)

9

b)

8

c)

12

d)

18

125.

A data set can have more than one mode

a)

True

b)

False

126.

A data set can have more than one median?

a)

True

b)

False

127.

Find the Mean of:
8, 14, 32, 6, 15

a)

15

b)

175

c)

75

d)

12

128.

Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4

a)

3.33

b)

2.85

c)

3

d)

3.5

129.

If there is an even number of data in the data set how do you find the median?

a)

order the data and find the middle value

b)

order the data add the 2 middle values and divide by 2

130.

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

a)

9

b)

5

c)

3

d)

7

131.

Find the mean:
28, 18, 19, 18, 17

a)

20

b)

18

c)

11

d)

19

132.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

133.

Find the mode of this data set:

67, 74, 95, 98, 98, 99, 102

a)

90.4

b)

35

c)

92

d)

98

134.

The temperature in Michigan City on this date in the last ten years were: 68, 68, 69, 70, 72, 70, 68, 75, 55, 67. What is the mean temperature on this date over the last ten years? (Round to nearest whole number.)

a)

60

b)

61

c)

68

d)

69

135.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

136.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

137.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

138.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

139.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

140.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

141.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

142.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

143.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

144.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

145.

a)

7/24

b)

14/50

c)

48/41

d)

48/50

146.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

147.

In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of cos C is

a)

7/25

b)

1/5

c)

8/25

d)

2/5

148.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

149.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

Math

Total questions: 149

Worksheet time: 5hrs 35mins

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