Free Printable MATH

1.

I am an object that represents one specific location in space. What am I?

a)

point

b)

line

c)

segment

d)

plane

2.

Points P and Q lie in plane A. How many lines contain P and Q?

a)

1. Line PQ

b)

2. Lines PQ and QP

c)

3. The 2 lines PQ and QP plus another line that does not lie in plane A.

d)

$\infty$ . We can't name them all!

3.

If a plane and a line intersect, their intersection will be a ________.

a)

Point

b)

Line

c)

Plane

d)

Segment

4.

Name two planes that contain line QP.

a)

Planes PSR, QNM

b)

Planes SPL, QRM

c)

Planes NML, QPR

d)

Planes PRQ, SLP

5.

Points X and Y line in both plane P and plane Q. What object defines that intersection of the two planes?

a)

Line XY

b)

Segment XY

c)

Plane P

d)

All of 3-dimensional space

6.

How many point are required to name a specific plane

a)

3

b)

2

c)

$\infty$

d)

1

e)

0

7.

Points that define a plane must have what property?

a)

Non-collinearity

b)

Collinearity

c)

Coplanarity

d)

Non-coplanarity

8.

How many points does a line segment contain?

a)

$\infty$

b)

2

c)

3

d)

some large number

9.

Opposite rays are rays that share an endpoint and point in opposite directions. Both rays together form a(n) __________.

a)

Line

b)

Plane

c)

Intersection point

d)

Acute angle

10.

Name a point that is coplanar with line DF but not collinear

a)

G

b)

H

c)

E

11.

A part of a line with two endpoints

a)

Line

b)

Ray

c)

Angle

d)

Line Segment

12.

A part of a line that has one endpoint and goes on forever in the other direction

a)

Line

b)

Ray

c)

Line Segment

d)

Angle

13.

What is a line segment?

a)

A set of points that goes on forever in both directions

b)

A curved line that goes on in one direction forever

c)

A part of a line between two endpoints

14.

These figures share the same initial point and extend in opposite directions on the same line.

a)

Angles

b)

Opposite Rays

c)

Lines

d)

Line segments

15.

A _______ consists of an infinite number of points which form a flat surface that extends in all directions forever.

a)

Point

b)

Line

c)

Line segment

d)

Plane

16.

How do we name lines?

a)

a lower case letter OR two uppercase letters

b)

an uppercase letter

c)

two lowercase letters OR two uppercase letters

d)

capital cursive letter

17.

the wall is an example of a ___________.

a)

point

b)

line

c)

plane

d)

term

18.

Give another name for line b

a)

a

b)

R

c)

KL

d)

HK

19.

Name two planes that contain line QP.

a)

Planes PSR, QNM

b)

Planes SPL, QRM

c)

Planes NML, QPR

d)

Planes PRQ, SLP

20.

Name a point that is coplanar with line DF but not collinear

a)

G

b)

H

c)

E

21.

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

22.

What type of angle is shown?

a)

Acute Angle

b)

Obtuse Angle

c)

Right Angle

d)

Straight Angle

23.

Classify the triangle by its angles.

a)

Acute Triangle

b)

Obtuse Triangle

c)

Right Triangle

d)

Equilateral Triangle

24.

What is the value of x?

a)

40^o

b)

65^o

c)

180^o

d)

55^o

25.

If ∢3 is 35^o, what is ∢4?

a)

35^o

b)

51^o

c)

45^o

d)

23^o

26.

Classify the pair of angles.

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Obtuse Angles

27.

Classify the triangle by its angles and sides.

a)

Obtuse Right Triangle

b)

Acute Scalene Triangle

c)

Acute Isosceles Triangle

d)

Obtuse Scalene Triangle

28.

Find the value of x.

a)

180^o

b)

126^o

c)

42^o

d)

90^o

29.

Classify the pair of angles.

a)

Complementary Angles

b)

Supplementary Angles

c)

Neither

30.

What is the area of the triangle?

a)

252 cm²

b)

120 cm²

c)

240 cm²

d)

126 cm²

31.

What is the area of the shape?

a)

35 units²

b)

70 units²

c)

56 units²

d)

28 units²

32.

Classify the triangle by its angles.

a)

Right Triangle

b)

Obtuse Triangle

c)

Acute Triangle

d)

Equilateral Triangle

33.

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

a)

Complementary Angles

b)

Supplementary Angles

c)

Neither

34.

Find the area of the shape.

a)

5.0 m²

b)

4.3 m²

c)

4.5 m²

d)

3.6 m²

35.

Find the area of the circle.

a)

314 m²

b)

1256 m²

c)

62.8 m²

d)

23.1 m²

36.

Find the area of the circle.

a)

452.16 cm²

b)

18.84 cm²

c)

113.04 cm²

d)

37.68 cm²

37.

Find the volume of the prism.

a)

120 in³

b)

60 in³

c)

15 in³

d)

130 in³

38.

Find the volume of figure.

a)

180 cm³

b)

90 cm³

c)

160 cm³

d)

80 cm³

39.

Find the volume of the prism.

a)

84 ft³

b)

42 ft³

c)

140 ft³

d)

70 ft³

40.

What is the volume of the pyramid?

a)

336 in³

b)

112 in³

c)

56 in³

41.

In a right triangle, if one angle is $45^\circ$ , what is the measure of the other non-right angle?

a)

$30^\circ$

b)

$45^\circ$

c)

$60^\circ$

d)

$90^\circ$

42.

A right triangle has legs of lengths 3 and 4. What is the length of the hypotenuse?

a)

5

b)

6

c)

7

d)

8

43.

You are standing 50 meters away from a tree. The angle of elevation to the top of the tree is $30^\circ$ . How tall is the tree?

a)

25 meters

b)

43.3 meters

c)

50 meters

d)

86.6 meters

44.

A ladder is leaning against a wall, forming a $60^\circ$ angle with the ground. If the ladder is 10 meters long, how far is the base of the ladder from the wall?

a)

5 meters

b)

5√3 meters

c)

10 meters

d)

10√3 meters

45.

A right triangle has a hypotenuse of length 13 and one leg of length 5. What is the length of the other leg?

a)

8

b)

10

c)

12

d)

15

46.

A 20-foot ladder leans against a building, reaching a height of 16 feet. What is the angle of elevation of the ladder?

a)

$30^\circ$

b)

$45^\circ$

c)

$53.1^\circ$

d)

$60^\circ$

47.

A kite is flying at a height of 100 meters, and the string makes an angle of $45^\circ$ with the ground. How long is the string?

a)

100 meters

b)

141.4 meters

c)

173.2 meters

d)

200 meters

48.

A ramp is inclined at an angle of $30^\circ$ to the horizontal. If the ramp is 10 meters long, what is the vertical height of the ramp?

a)

5 meters

b)

8.7 meters

c)

10 meters

d)

17.3 meters

49.

A building casts a shadow 40 meters long when the angle of elevation of the sun is $30^\circ$ . How tall is the building?

a)

20 meters

b)

34.6 meters

c)

40 meters

d)

69.3 meters

50.

A person is standing 100 meters away from a tower. The angle of elevation to the top of the tower is $45^\circ$ . How tall is the tower?

a)

50 meters

b)

70.7 meters

c)

100 meters

d)

141.4 meters

51.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

52.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

53.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

54.

What kind of triangle is this?

a)

Acute

b)

Super

c)

Right

d)

Obtuse

55.

Find the missing angles.

a)

110

b)

40

c)

70

d)

30

56.

Find the missing angle

a)

55

b)

75

c)

50

d)

25

57.

Find the exterior angle

a)

100

b)

55

c)

45

d)

80

58.

Find the value of x.

a)

138

b)

42

c)

51

d)

87

59.

a)

115

b)

60

c)

55

d)

65

60.

Find the value of x and y.

a)

x= 60 y = 58

b)

x = 122 y = 62

c)

x = 62 y = 122

d)

x= 58 y = 60

61.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

62.

Which of the following is false?

a)

A triangle can be drawn with more than one acute angle.

b)

A triangle can be drawn with exactly one acute angle.

c)

A triangle can be drawn with exactly one obtuse angle.

d)

A triangle can be drawn with exaclty one right angle.

63.

How many triangles exist with the given angle measures? 55°, 45°, 90°

a)

No triangle exists

b)

Exactly one unique triangle exists

c)

More than one triangle exists

64.

A triangle has one angle that measures 61 degrees, one angle that measures 44 degrees, and one angle that measures 75 degrees. What kind of triangle is it?

a)

right triangle

b)

obtuse triangle

c)

acute triangle

d)

equilateral triangle

65.

A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

66.

A triangle has angle measurements of 74°, 90°, and 16°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

67.

A triangle has angle measurements of 27°, 72°, and 81°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

68.

A triangle has two 71° angles and one 38° angle. Is this triangle isosceles?

a)

yes

b)

no

69.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

70.

Classify the following Triangle

a)

Acute Scalene Triangle

b)

Right Isosceles Triangle

c)

Right Scalene Triangle

d)

Obtuse Isosceles Triangle

71.

It is two lines that do not intersect at any point.

a)

Intersecting lines

b)

Parallel lines

c)

Perpendicular lines

72.

It is two lines that intersect in a special way forming square corners.

a)

Intersecting lines

b)

Parallel lines

c)

Perpendicular lines

73.

Which picture below shows an intersecting line?

a)

b)

c)

74.

Which line is a perpendicular line?

a)

b)

c)

75.

Which line is a parallel line?

a)

b)

c)

76.

This angle forms a square corner.

a)

b)

c)

77.

This angle measures more that 90 degrees but less than 180 degrees.

a)

b)

c)

78.

Which object has an acute angle?

a)

b)

c)

79.

Which object has an obtuse angle?

a)

b)

c)

80.

Which object has a right angle?

a)

b)

c)

81.

It is a close figure made up of several line segments that are join together.

a)

Polygon

b)

Quadrilateral

c)

Triangle

82.

It is a polygon with four sides and four angles.

a)

Polygon

b)

Quadrilateral

c)

Triangle

83.

Do all triangles have three equal sides and three angles?

a)

Yes

b)

No

c)

Maybe

84.

Can a quadrilateral be divides into two triangles?

a)

Yes

b)

No

c)

Maybe

85.

Is any four sided polygon a quadrilateral?

a)

Yes

b)

No

c)

Maybe

86.

It is a triangle that measure more than 90 degrees.

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

87.

It is a triangle that measure less than 90 degrees.

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

88.

Kitkat is from her house near the Peňafrancia Church, she went to Universidad de Sta. Isabel to attend her class and after it, she passed by in the MInistop, Centro Square to eat ice cream. After that she went home. What kind of triangle was formed during her travel?

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

89.

Mylene took her class in Universidad de Sta. Isabel. Then, she took her lunch in Hungry A’s Diner and took her dessert in Mnistop, Centro Square and went back to her school for the afternoon class. What kind of triangle was formed during her travel?

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

90.

Kim is attending his class in Universidad de Sta. Isabel. He ate his snack in MInsitop, Centro Square and went to Good Shepherd Chapel to attend a mass. Then, he went back to his school for his evening class. What kind of triangle was formed during his travel?

a)

Acute triangle

b)

Obtuse triangle

c)

Right triangle

91.

It is a parallelogram that has 4 equal sides and 4 right angles.

a)

Rectangle

b)

Square

c)

Trapezoid

92.

It is a quadrilateral that has only one pair of opposite sides that are parallel.

a)

Rectangle

b)

Square

c)

Trapezoid

93.

Is a parallelogram a rectangle?

a)

Yes

b)

No

c)

Maybe

94.

Is a trapezoid a parallelogram? Why?

a)

Yes, because it has 4 sides.

b)

No, because it has only one pair of opposite sides that are parallel

c)

Maybe

95.

Is a rhombus a square? Why?

a)

Yes, because it has the same 4 sides.

b)

No, because square has 4 equal sides that are parallel and has 4 right angles while rhombus has 4 equal side only but not necessarily equal angles

c)

Maybe

96.

$Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$

a)

$\frac{x^4}{y^3}$

b)

$\frac{x^{12}}{y^3}$

c)

$x^{12}y^{27}$

d)

$\frac{y^3}{x^4}$

97.

$Simplify:\ \frac{5a^3c^{10}}{20a^5c^4}$

a)

$\frac{4c^6}{a^2}$

b)

$\frac{1a^2c^6}{4}$

c)

$\frac{1c^6}{4a^2}$

d)

$\frac{1a^2}{4c^6}$

98.

$Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$

a)

$\frac{x-1}{x+7}$

b)

$\frac{x+1}{x+7}$

c)

$\frac{x-1}{x-7}$

d)

$\frac{x+1}{x-7}$

99.

Which of the following is NOT a rational algebraic expression?

a)

$\frac{3}{\sqrt{x}}$

b)

$\frac{a+4}{6}$

c)

$x^2+2xy$

d)

$5$

100.

Give the domain of $\frac{y+2}{y-2}$

a)

all real numbers except $-1$

b)

all real numbers except $1$

c)

all real numbers except $-2$

d)

all real numbers except $2$

101.

$\frac{8-y}{z^2+5z}$

Give the values for which the given rational expression is undefined?

a)

$z=0\ \ \ \ and\ \ \ \ \ z=5$

b)

$z\ =0\ \ \ \ and\ \ \ \ z=-5$

c)

$z=0\ \ \ \ and\ \ \ \ z=-1$

d)

$z=0\ \ \ \ and\ \ \ \ z=1$

102.

$\frac{x}{x+3}+\frac{3}{x+3}=$

a)

$x^2$

b)

$\frac{3x}{x\ +\ 3}$

c)

1

d)

$\frac{3x}{3x}$

103.

$\frac{3x\ +\ 4}{x^2\ -\ 16}\ -\ \frac{2x}{x^2-16}=$

a)

$1$

b)

$\frac{x+4}{x^2-16}$

c)

$\frac{1}{x-4}$

d)

$\frac{1}{x+4}$

104.

a)

4 / 7v²

b)

4 / 7v

c)

20 / 35v

d)

20 / 35v²

105.

a)

7(r + 2)/ (r + 2)

b)

(r - 8) / (r + 2)

c)

(r + 2) / 7

d)

(r - 8) / 7

106.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

107.

A rational expression is said to be in lowest terms when its numerator and denominator have no common factors other than _____.

a)

1

b)

2

c)

3

d)

4

108.

$What\ is\ \frac{2y}{x-2y}less\ than\ \frac{2x}{2y-x}?$

a)

\frac{2x+2y}{2y-\ x}

b)

$\frac{2x+2y}{x-2y}$

c)

-1

d)

$\frac{2x-2y}{x-2y}$

109.

$Divide\frac{v^2-9}{3v^2+12}by\ \frac{v+3}{v^2+4}$

a)

$\frac{v-3}{3}$

b)

$\frac{v+3}{3}$

c)

(v+3)(v-3)

d)

3

110.

Add:

\frac{x+1}{x-1}+\frac{x+1}{x^2-1}

a)

$\frac{x-1}{x}$

b)

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

c)

$\frac{x^{\ }+1}{x\ -1}$

d)

$\frac{x^{ }+2}{x\ -1}$

111.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is blue?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{1}{4}$

112.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is red?

a)

$41.67\%$

b)

$50\ \%$

c)

$8.33\%$

d)

$33.33\%$

113.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is green?

a)

$41.67\%$

b)

$16.67\ \%$

c)

$8.33\%$

d)

$33.33\%$

114.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is black?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{3}{4}$

d)

$\frac{1}{6}$

115.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is not green?

a)

$41.67\%$

b)

$91.67\%$

c)

$75\%$

d)

$8.33\%$

116.

Sam rolled a number cube 50 times. A '3' appeared 10 times. Find the probability of getting '3'.

a)

$\frac{10}{50}$

b)

$\frac{20}{50}$

c)

$\frac{40}{50}$

d)

$\frac{30}{50}$

117.

Sam rolled a number cube 50 times. A '3' appeared 10 times. Find the probability of getting numbers that are not '3'.

a)

$\frac{10}{50}$

b)

$\frac{20}{50}$

c)

$\frac{40}{50}$

d)

$\frac{30}{50}$

118.

A coin is tossed 60 times. 27 times head appeared. Find the probability of getting heads.

a)

$55\%$

b)

$45\%$

c)

$0\%$

d)

$48\%$

119.

A coin is tossed 60 times. 27 times head appeared. Find the probability of getting tail.

a)

$55\%$

b)

$45\%$

c)

$0\%$

d)

$48\%$

120.

Christian Dayne drew a random set of cards from a well -shuffled deck of 52 playing cards. He recorded the suit of cards that he picked; results are shown in the table. Find the probability of selecting a spade?

a)

$\frac{13}{32}$

b)

$\frac{8}{32}$

c)

$\frac{4}{32}$

d)

$\frac{7}{32}$

121.

Christian Dayne drew a random set of cards from a well -shuffled deck of 52 playing cards. He recorded the suit of cards that he picked; results are shown in the table. Find the probability of selecting a diamond?

a)

$40.63\%$

b)

$25\%$

c)

$12.5\%$

d)

$21.88\%$

122.

Christian Dayne drew a random set of cards from a well -shuffled deck of 52 playing cards. He recorded the suit of cards that he picked; results are shown in the table. Find the probability of selecting a red card?

a)

$\frac{21}{32}$

b)

$\frac{11}{32}$

c)

$\frac{17}{32}$

d)

$\frac{15}{32}$

123.

The event of selecting a month of the year with 31 days.

a)

7/12

b)

1/12

c)

2/3

d)

5/12

124.

When a single die is rolled, find the probability of getting an 8.

a)

3/8

b)

1

c)

1/6

d)

0

125.

there are 20 marbles in a container: 4 are red, 5 are blue and 11 are yellow. What is rthe probability that a yellow marble will be picked?

a)

1/5

b)

11/20

c)

9/11

d)

1/4

126.

The third person to knock on the door will be a female.

a)

2/3

b)

1/4

c)

1/2

d)

1/3

127.

When a card is drawn from the set of 52 cards, it shows a black heart.

a)

0

b)

1/2

c)

1

d)

1/4

128.

When a card is drawn from the standard deck of 52 cards, it shows a red ace.

a)

1/26

b)

1/13

c)

3/52

d)

1/4

129.

If 3 coins are flipped together, the third coin shows a head.

a)

7/8

b)

1/2

c)

3/8

d)

1/4

130.

In a family of 3 children, the eldest child is a boy.

a)

1/4

b)

1/2

c)

2/3

d)

1

131.

When a die is rolled, it shows a counting number less than 7.

a)

2/3

b)

1

c)

1/2

d)

0

132.

When a die is rolled, the die shows a composite number.

a)

2/3

b)

1/6

c)

1/3

d)

1/2

133.

A bottle contains 8 marbles, 3 are red and 5 are blue. You are to take a marble from the bottle without looking. What is the probability that you pick a red marble?

a)

1/3

b)

3/8

c)

5/8

d)

3/5

134.

A die is rolled, what is the probability that the number rolled is greater than 2?

a)

2/3

b)

1/3

c)

1/2

d)

1/4

135.

One card is drawn from a standard deck of 52 cards. What is the probability that the card drawn is a face card?

a)

5/13

b)

3/13

c)

1/4

d)

1/13

136.

In a school club there are 3 freshmen, 5 sophomores, 4 juniors and 7 seniors. One student is chosen at random. What is the probability that the student chosen is a senior?

a)

7/19

b)

3/19

c)

4/19

d)

5/19

137.

A letter is chosen at random from the word “MILKTEA”. What is the probability that the letter chosen is a vowel?

a)

5/7

b)

4/7

c)

3/7

d)

2/7

138.

If one card is drawn from a deck of 52 cards, what is the probability that it would not be a queen?

a)

1/13

b)

4/13

c)

6/13

d)

12/13

139.

A bag contains 8 red marbles and 7 green marbles. What is the probability of getting a green ball?

a)

1/7

b)

1/8

c)

7/15

d)

8/15

140.

From the numbers 1-30, what is the probability that it is divisible by 3?

a)

1/2

b)

1/3

c)

1/4

d)

1/5

141.

The probability that Kathy will not be hired in her job is 1/3 . What is the probability that she will be hired?

a)

1/2

b)

1/3

c)

1/4

d)

2/3

142.

An urn contains 15 white balls and 25 blue balls. If Margarette will pick a ball at random, what is the probability that it is a blue ball?

a)

2/5

b)

3/5

c)

3/8

d)

5/8

143.

Two fair dice are rolled. What is the probability that the product of the numbers that show up is 12?

a)

1/9

b)

1/36

c)

4/9

d)

0

144.

The pages of a Math Book are numbered 1 – 50. A page is chosen at random. What is the probability that the page number contains a single digit?

a)

1/5

b)

1/50

c)

9/50

d)

41/50

145.

A card is randomly drawn from a standard deck of 52 playing cards. What is the probability that the card drawn is not a heart?

a)

1/4

b)

1/2

c)

3/4

d)

3/13

146.

A box contains 5 red discs, 6 green discs and 4 blue discs. One disc is randomly drawn from the box. What is the probability that it will be a blue disc?

a)

1/3

b)

2/5

c)

4/15

d)

11/15

147.

A letter is randomly chosen from the word MERCY. What is the probability that it will be a vowel?

a)

1/5

b)

2/5

c)

3/5

d)

4/5

148.

1. Which of these is a simple event?

a)

A. picking a red and yellow ball

b)

B. draw a king and a diamond

c)

C. roll a die and get a 2

d)

D. get an average of 90 and rank first in school

149.

2. The following are compound events EXCEPT ________.

a)

A. rolling an even number less than 5 on a die

b)

B. drawing a red ace from a deck of cards

c)

C. tossing three coins and getting at least 2 heads

d)

D. the team winning a match

150.

3. In rolling a die, getting an odd number or a multiple of two. What is A ∪ B?

a)

A. {1,2,3,4,5,6}

b)

B. {1,2,3}

c)

C. {1,2}

d)

D. {2}

151.

4. Which of the following is NOT a union of events?

a)

A. rolling a die and get a 2 or an even number

b)

B. picking a black or a face card

c)

C. tossing a coin

d)

D. spinning a numbered wheel cart from 1-10 and getting a 5 or a number divisible by 2

152.

5. Which of the following is an intersection of events?

a)

A. picking a black or a face card

b)

B. spinning a numbered wheel cart from 1-10 and getting an 8 or a number divisible by 2

c)

C. tossing a coin and getting a head

d)

D. rolling a die and get a 2 or an even number

153.

6. How many distinct ways can you keep four different books in a book shelf?

a)

A. 4

b)

B. 12

c)

C. 24

d)

D. 120

154.

7. What is the probability of getting a two or five in a roll of fair die? Express your final answer in lowest terms.

a)

A. $\frac{1}{4}$

b)

B. $\frac{1}{3}$

c)

C. $\frac{1}{2}$

d)

D. $\frac{1}{5}$

155.

8. The probability of union of two events is given by _____

a)

A. P(A ∪ B) = P(A)+ P(B)

b)

B. P(A ∪ B) = P(A)− P(B)

c)

C. P(A ∪ B) = P(A)+ P(B) − P(A ∩ B)

d)

D. P(A ∪ B) = P(A)− P(B) − P(A ∩ B)

156.

9. What is the probability of landing a head in a single toss of a fair coin?

a)

A. 0

b)

B. $\frac{1}{2}$

c)

C. 1

d)

D. 2

157.

10. It refers to an event that involves two or more simple events.

a)

A. Compound Events

b)

B. Exclusive Event

c)

C. Mutually Exclusive Event

d)

D. Special Event

158.

1. Consider a box that contains 14 blue balls and 12 green balls. A ball is drawn at random and the brand is noted and then put back inside the box. then, another ball is drawn at random. find the probability that both balls are blue?

a)

A. 39/159

b)

B. 49/149

c)

C. 49/169

d)

D. 29/139

159.

2. A jar of marbles contains 4 blue marbles, 5 red marbles, 1 green marble, and 2 black marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. find the probability of picking a blue and then a red marble?

a)

A. 5/36

b)

B. 7/37

c)

C. 8/38

d)

D. 9/39

160.

3. A coin and a die are tossed simultaneously. what is the probability that the coin will land on head and the die on less than 3?

a)

A. 1/2

b)

B.1/4

c)

C. 1/6

d)

D. 1/8

161.

4. A card is chosen at random, without replacing it, a second card is chosen. whast is the probability that the first card chosen is a queen and the second card is an jack?

a)

A. 4/336

b)

B. 4/363

c)

C. 4/636

d)

D. 4/663

162.

5. Consider a box that contains 14 blue balls and 12 green balls, suppose that two balls are drawn one after the other without putting back the first ball. find the probability that both balls are green?

a)

A. 36/650

b)

B. 66/650

c)

C. 76/650

d)

D. 66/750

163.

6. A class is composed of 10 boys and 15 girls. If two presenter to a poem recital are to be chosen in succession, what is the probability that the first is a boy and the second is a girl?

a)

A. 1/2

b)

B. 1/3

c)

B. 1/4

d)

D. 1/8

164.

7. A box contains 9 pieces of numbered balls. if three pieces are taken from the box one at a time without replacement, find the probability that they alternately taken:

A. Odd, Even, Odd

a)

A. 4/63

b)

B. 6/63

c)

C. 8/63

d)

D. 10/63

165.

8. Camille has 55 red chips, 12 yellow chips and 20 white chips. what is the probability that Camille randomly selects a red chips or a white chip?

a)

A. 75/88

b)

B. 77/88

c)

C. 79/88

d)

D. 81/88

166.

9. A box contains 8 white balls, 10 red balls and 6 blue balls. What is the probability of drawing a white ball and red ball?

a)

A. 0.5

b)

B. 0.25

c)

C. 0.75

d)

D. 1.25

167.

10. Precious likes to wear colored shirts, she has 20 shirts in the closet in the closet. 8 of these are blue, 6 are red and the rest are in differ colors. what is the probability that she will wear a blue or a red shirt.

a)

A. 5/8

b)

B. 7/10

c)

C. 9/13

d)

D. 11/15

168.

11. Out of 5200 households surveyed, 2107 had a dog, 807 had a cat, and 303 had both a dog and a cat. What is the probability that randomly selected household has a dog or a cat?

a)

A. 0.23

b)

B. 0.35

c)

C. 0.49

d)

D. 0.56

169.

12. A rental agency has 6 yellow cars, 20 white cats, 10 red cars and 4 given cars for rent. Steve rents a car, returns it because the wind shield is broken, and gets another car. What is the probability that Steve is given a white car then a red car?

a)

A. 1/2

b)

B. 1/4

c)

C. 1/6

d)

D. 1/8

170.

13. A bottle contains 18 pink bags and 28 green bags. If two bags are picked at random one after the other with replacement what is the probability that the first bag is pink and then green?

a)

A. 0.33

b)

B. 0.35

c)

C. 0.37

d)

D. 0.39

171.

14. A bag contains 25 beads. 15 are violet and 10 are orange. one bead is drawn, not replaced, and then second bead is drawn. what is the probability of drawing a violet and then a orange?

a)

A. 0.5

b)

B. 0.10

c)

C. 0.25

d)

D. 0.025

172.

15. The extracurricular activities in which the senior class SPC Science Integrated High School participate are shown in the Venn diagram.

How many students participate in athletics?

a)

A. 140

b)

B. 149

c)

C. 152

d)

D. 164

173.

16. If a student is randomly chosen, what is the probability that the student participates in athletics or drama?

a)

A. 184/259

b)

B. 194/295

c)

C. 244/295

d)

D. 196/295

174.

17. If a students is randomly chosen, what is the probability that the students participate only in drama and band?

a)

A. 10%

b)

B. 20%

c)

C. 30%

d)

D. 40%

175.

18. How many students participate in drama and band?

a)

A. 30

b)

B. 40

c)

C. 50

d)

D. 91

176.

19. How many students who did not participate in the extracurricular activities?

a)

A. 10

b)

B. 295

c)

C. 20

d)

D. 30

177.

20. How many students are in the senior class?

a)

A. 275

b)

D. 285

c)

C. 295

d)

D. 305

MATH

Total questions: 177

Worksheet time: 4hrs 10mins

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