Quiz about simple and compound events

Question 1

Given the results, what is the experimental probability that the next time the number cube is rolled it will land with a 5 showing on the top face?

Accepted Answer

A) 1/5

Answer

B) 1/4

Answer

C) 1/3

Answer

D) 1/2

Question 2

Based on these results, what is the experimental probability that the next time the two coins are flipped, one will land on heads, and one will land on tails?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

1/6

Question 3

Aubrey has a bag of coins that contains 5 nickels, 20 dimes, 15 quarters, and 10 pennies. She will randomly select one coin from the bag. What is the probability she will select either a dime or penny?

Accepted Answer

0.6

Answer

0.25

Answer

0.5

Answer

0.7

Question 4

A company has 4 boxes of blue binders, 12 boxes of red binders, and 2 boxes of white binders. Each box contains 12 binders. If a customer were to randomly select one binder to purchase, what is the probability the customer will select a white binder or a red binder?

Accepted Answer

2/3

Answer

1/2

Answer

3/4

Question 5

What is the solution to the equation shown below? 3x + 12 = 18 Choose the correct answer from the options below.

Accepted Answer

x = 2

Answer

x = 1

Answer

x = 3

Answer

x = 4

Question 6

Which equation below best represents y, the number of pages Brooklyn has read in x hours if she continues at this rate?

Accepted Answer

D y = 36x

Answer

A x = y + 36

Answer

B y = x + 36

Answer

C x = 36y

Question 7

Laura has 134 documents on her computer that take up 670 megabytes of space on her computer. Each document takes up the same amount of space. How many megabytes do 24 of these documents take up?

Accepted Answer

120 MB

Answer

16 MB

Answer

5 MB

Answer

24 MB

Question 8

An architect built a scale model of a library using a scale in which 3 inches represents 40 feet. The height of the library is 160 feet. What is the height of the scale model in inches?

Accepted Answer

12 inches

Answer

10 inches

Answer

15 inches

Answer

14 inches

Question 9

There are 60 plants in the garden. 10% of the plants are roses. 20% of the plants are gardenias. 30% of the plants are lilies. The remaining plants are sunflowers. How many plants are sunflowers?

Accepted Answer

20

Answer

10

Answer

18

Answer

12

Question 10

A store sells tile that are 2 1/2 inches wide. What is the width in inches of 4 of those tiles?

Accepted Answer

8 in.

Answer

6 in.

Answer

9 in.

Answer

2 in.

Question 11

Create a number line that best represents the solution to the inequality shown below.

Accepted Answer

A number line with an open circle at 3 and shading to the right.

Answer

A number line with a closed circle at 3 and shading to the right.

Answer

A number line with an open circle at 3 and shading to the left.

Answer

A number line with a closed circle at 3 and shading to the left.

Question 12

Solve the inequality: 6m - 10 < -40. Select a ray. Move the point on the ray to the correct place on the number line.

Accepted Answer

Select a ray

Accepted Answer

Move the point on the ray to the correct place on the number line

Question 13

Tara tossed a coin 2 times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?

Accepted Answer

A) Heads Heads, Heads Tails, Tails Heads, Tails Tails

Answer

B) Heads Heads, Heads Tails, Tails Heads

Answer

C) Heads Heads, Tails Heads, Heads Tails

Answer

D) Heads Tails, Tails Heads, Heads Tails

Question 14

Which measurement is closest to the circumference of a circle with a radius of 30 feet?

Accepted Answer

376.8 ft

Answer

188.4 ft

Answer

94.2 ft

Answer

2,826 ft

Question 15

A circle has a radius of 15 feet, as shown in the diagram below. Which measurement is closest to the circumference of the circle in feet?

Accepted Answer

706.5 ft

Answer

94.2 ft

Answer

2,826 ft

Answer

47.1 ft

Question 16

A circle has a radius of 3.5 inches. Which measurement is closest to the circumference of the circle in inches?

Accepted Answer

21.98 in

Answer

38.465 in

Answer

10.99 in

Answer

153.86 in

Question 17

The diameter of Circle A is 15 inches. The diameter of Circle B is 18 inches. Which measurement is closest to the difference between the circumference of Circle A and the circumference of Circle B in inches?

Accepted Answer

B 47.1 in

Answer

A 9.42 in

Answer

C 56.52 in

Answer

D 103.62 in

Question 18

What is the solution to the equation? -6x - 8 = 40 Choose the correct answer from the options below.

Accepted Answer

x = -4

Answer

x = -8

Answer

x = -6

Answer

x = -2

Question 19

A snail is traveling at a constant rate of 0.2 meters per minute. Which table best represents y, the number of meters the snail has traveled in x minutes?

Accepted Answer

B) Snail Travels Minutes Meters 5 0.2, 10 0.4, 15 0.6, 20 0.8, 1.0

Answer

A) Snail Travels Minutes Meters 5 0.2, 10 0.2, 15 0.2, 20 0.2, 0.2

Answer

C) Snail Travels Minutes Meters 5 1.0, 10 2.0, 15 3.0, 20 4.0, 25 5.0

Answer

D) Snail Travels Minutes Meters 5 5.2, 10 10.2, 15 15.2, 20 20.2

Question 20

Tiffany is buying shirts for her soccer team. She will pay $$15.50 for each shirt plus a one-time fee of $$ 22.50 for the design. Create an equation that can be used to find y, the total cost to buy x shirts. Move the correct answer to each box. Not all answers will be used.

Accepted Answer

15.50

Accepted Answer

22.50

Answer

-22.50

Answer

-15.50

Question 21

Anthony uses 4 grams of sugar to make 24 fluid ounces of tea. Last week he made 336 fluid ounces of tea. How many grams of sugar did Anthony use to make tea last week?

Accepted Answer

48 grams

Answer

56 grams

Answer

60 grams

Answer

64 grams

Question 22

The two parallelograms below are similar. What is the length in inches of PQ?

Accepted Answer

30 in.

Answer

26 in.

Answer

34 in.

Answer

24 in.

Question 23

David bought 4 truckloads of dirt to be delivered. Each truckload cost $$134.49. The delivery fee for all the truckloads costs $$ 56.30. What is the total that David paid?

Accepted Answer

$425.69

Answer

$190.79

Answer

$537.96

Answer

$594.26

Question 24

What is the value of $$5^{-13.5}$$ ?

Accepted Answer

65

Answer

77

Answer

-65

Answer

-77

Question 25

Create a number line that best represents the solution to the inequality shown below. 6m - 10 > -40. Select the correct solution.

Accepted Answer

m > 5

Answer

m < 5

Answer

m > -5

Answer

m < -5

Question 26

What is the area formula for a Triangle?

Accepted Answer

A = 1/2 * base * height

Answer

A = base * height

Answer

A = $$side^2$$

Answer

A = length * width

Question 27

What is the area formula for a Trapezoid?

Accepted Answer

A = (1/2) * (b1 + b2) * h

Answer

A = b * h

Answer

A = (1/2) * b * h

Answer

A = l * w

Question 28

An equation is modeled below. Which value of x makes the equation true?

Accepted Answer

0

Answer

(+)

Answer

2

Answer

14

Question 29

A biker can ride 48 miles in 4 hours. Which answer choices below best represent the distance in miles, y, the biker can ride in x hours? Select TWO correct answers. y = 12x, Bike Riding: Hours, x Miles, y 5 60, 6 72. Answer: y = 12x and 6 72

Accepted Answer

y = 12x

Accepted Answer

6 72

Answer

Bike Riding: Hours

Answer

x Miles

Answer

y 5 60

Question 30

A store sells new video games for $$45 each. Used video games sell for $$ 10 each. Christian is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Christian must pay in dollars?

Accepted Answer

y = 2(45) + 10x

Answer

y = 2x + 10

Answer

y = 45x + 20

Answer

y = 90 + 10x

Question 31

Create an equation that can be used to find y, the total cost to buy x used video games.

Accepted Answer

y = 5x

Answer

y = 10x

Answer

y = 15x

Answer

y = 20x

Question 32

Move the correct answer to each box. Not all answers will be used.

Accepted Answer

10

Answer

45

Answer

90

Answer

-10

Question 33

Triangle ABC is similar to triangle FGH. What is the value of x?

Accepted Answer

A. 13.5

Answer

B. 12

Answer

C. 9.5

Answer

D. Not here

Question 34

Roxanne needs $$12\frac{1}{2}$$ feet of string for a school project. She has one piece of string that is $$3\frac{3}{4}$$ feet long and another piece of string that is $$5\frac{1}{4}$$ feet long. How many more feet of string does Roxanne need for her school project?

Accepted Answer

B $$4\frac{1}{2}$$ feet

Answer

A $$3\frac{1}{2}$$ feet

Answer

C $$3\frac{3}{4}$$ feet

Answer

D $$6\frac{1}{2}$$ feet

Question 35

What is the value of the expression $$-15.75 \div 2 + \frac{1}{2}$$ ?

Accepted Answer

-7.5

Answer

-6.3

Answer

-0.63

Answer

-5.3

Question 36

A bag contains 5 blue marbles, 4 red marbles, and 1 yellow marble. A marble is drawn from the bag and replaced 60 times. What is a reasonable prediction for the number of times a blue or yellow marble will be drawn?

Accepted Answer

A 40

Accepted Answer

D 36

Answer

B 12

Answer

C 6

Question 37

The probability of selecting a lily is ___ and the probability of selecting a flower that is not a lily is ___.

Accepted Answer

The probability of selecting a lily is P(lily) and the probability of selecting a flower that is not a lily is P(not lily).

Answer

The probability of selecting a lily is P(not lily) and the probability of selecting a flower that is not a lily is P(lily).

Answer

The probability of selecting a lily is 0.5 and the probability of selecting a flower that is not a lily is 0.5.

Answer

The probability of selecting a lily is 1 and the probability of selecting a flower that is not a lily is 0.

Question 38

The dimensions of a rectangular pyramid are shown. What is the volume of this rectangular pyramid in cubic inches?

Accepted Answer

300 cubic inches

Answer

100 cubic inches

Answer

200 cubic inches

Answer

400 cubic inches

Question 39

Based on the information in the graph, which inference about the general population of students is valid?

Accepted Answer

More girls than boys like country music.

Answer

Girls like hip hop music more than all other genres combined.

Answer

Boys like rock music more than girls like country music.

Answer

Boys like classical music more than country music.

Question 40

A bag contains 1 yellow tile, 5 red tiles, and 4 blue tiles. A tile will be randomly selected from the bag. What is the probability a blue tile will be selected?

Accepted Answer

3/10

Answer

1/10

Answer

2/10

Answer

4/10

Question 41

Clarissa has a bag of bows. The table shows the number of bows of each color in the bag. Bows in a bag: Color - Number, Pink - 4, White - 11, Orange - 8, Green - 18. Clarissa selects a bow at random. Based on the information in the table, which statement is true?

Accepted Answer

B) The probability of selecting a white bow is higher than selecting an orange bow.

Answer

A) The probability of selecting a pink bow is higher than selecting a green bow.

Answer

C) The probability of selecting a green bow is higher than selecting a white bow.

Answer

D) The probability of selecting an orange bow is higher than selecting a pink bow.

Question 42

The bow is 7 times as likely to be green as it is to be white.

Accepted Answer

The bow is 7 times as likely to be green as it is to be white.

Answer

The bow is 2 times as likely to be orange as it is to be pink.

Answer

The bow is equally likely to be pink, white, orange, or green.

Answer

The bow is more likely to be green than all other colors combined.

Question 43

What is the lateral surface area of the triangular prism below in square inches?

Accepted Answer

5 in

Accepted Answer

5 in

Answer

2 in

Answer

8 in

Question 44

What was the cost of each movie ticket in dollars and cents?

Accepted Answer

$14.25

Answer

$12.50

Answer

$15.00

Answer

$13.75

Question 45

Pentagon ABCDE is similar to JKLMP. Given that A is 12 cm and J is 3 cm, find the length of E.

Accepted Answer

6 cm

Answer

3 cm

Answer

9 cm

Answer

12 cm

Question 46

What is the value of x?

Accepted Answer

16 cm

Answer

13 cm

Answer

14 cm

Answer

9 cm

Question 47

The two parallelograms below are similar. What is the value of d?

Accepted Answer

17 ft

Answer

25 ft

Answer

9 ft

Answer

12 ft

Question 48

Trapezoid ABCD is similar to trapezoid WXYZ. What is the value of t in centimeters?

Accepted Answer

3 cm

Answer

2 cm

Answer

4 cm

Answer

5 cm

Question 49

What is the length of X?

Accepted Answer

9 cm

Answer

8.6 cm

Answer

9.6 cm

Answer

6.6 cm

Question 50

What is the length of Y?

Accepted Answer

9 cm

Answer

8.6 cm

Answer

9.6 cm

Answer

6.6 cm

Question 51

Triangle FGH is similar to triangle JKL. What is the value of x in centimeters?

Accepted Answer

25.7 cm

Answer

13 cm

Answer

27 cm

Answer

12 cm

Question 52

A building has a height of 200 meters and a length of 90 meters. On a scale drawing of the building, the height is 20 centimeters. What is the length of the building on the scale drawing in centimeters?

Accepted Answer

10

Answer

9

Answer

44

Answer

22

Question 53

There is a scale model of a local football stadium. The length of the stadium is 300 meters, and the width is 250 meters. On the scale model, the length is 6 inches. What is the width of the scale model in inches?

Accepted Answer

7.2

Answer

5

Answer

50

Question 54

A playground is circular and has a diameter of 26 meters. Which distance is closest to the circumference of the playground in meters?

Accepted Answer

64.24 m

Accepted Answer

81.64 m

Answer

162.28 m

Answer

40.82 m

Question 55

A store has four baskets with white towels and eight baskets with grey towels. Each basket contains 6 towels. If a customer randomly selects a towel, what is the probability they will select a white towel?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/5

Question 56

If there are 60 people surveyed, which predictions for their answers are NOT supported by the data in the table? Select TWO correct answers.

Accepted Answer

A. The number of people who choose summer will be 6 more than the number of people who choose spring.

Accepted Answer

B. There will be a total of 30 people who choose winter or fall.

Answer

C. The number of people who choose winter will be 4 times the number of people who choose summer.

Answer

D. The number of people who chose spring is three times the number of people who choose fall.

Answer

E. The difference between the number of people who choose spring and the number of people who choose fall will be 6.

Question 57

An artist is making a design using similar triangles. Which statement about the triangles in the design must be true?

Accepted Answer

D. They have corresponding angles that are congruent.

Answer

A. They have corresponding sides that are congruent

Answer

B. They are the same size but different shapes

Answer

C. They are the same size and shape

simple and compound events

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