Free Printable DECEMBER 1 Study Guide

1.

-9 is an integer

a)

True

b)

False

2.

-3.5 is an integer

a)

True

b)

False

3.

Which sets would the number 1.2 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

4.

Where would the number $2\frac{1}{2}$ fit in the Venn diagram

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

5.

Where would the number -3 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

6.

Where would the number -13 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

7.

Where would the number 0 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

8.

Where would the number 34 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

9.

Where would the number $-14\frac{1}{2}$ fit in the Venn diagram

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

10.

Which integers are ordered correctly from least to greatest?

a)

3, 7, -9, 0

b)

-2, -9, 0, 1

c)

-5, -1, 0, 1

d)

-9, -10, -11, -12

11.

The numbers with the LEAST value are to the LEFT on a number line.

Los números con el valor MENOS están a la IZQUIERDA en una recta numérica.

a)

TRUE

b)

FALSE

12.

The greater integer on a number line lies to the _____________ of the lesser integer.

El número integer mayor en una recta numérica se encuentra ala _____________ del número entero menor.

a)

left (izquierda)

b)

right (derecha)

13.

Which of these lists is ordered from greatest to least?

a)

-10, -1, 2, 6

b)

1.8, 1/2, 1/4

c)

0.6, 0.30, 70%

d)

6, -6, -8, 8

14.

What is a possible integer that could be between -6 and 2 on a number line?

¿Cuál es un número integer que podría estar entre -6 y 2 en una recta numérica?

a)

4

b)

-8

c)

3

d)

-3

15.

Which of the following is furthest to the left on the number line?

¿Cuál de los siguientes está más a la izquierda en la recta numérica?

a)

1

b)

5

c)

-2

d)

-3

16.

Which of the following is closest to zero on a number line?

¿Cuál de los siguientes está más cerca de cero en una recta numérica?

a)

-5

b)

6

c)

7

d)

-8

17.

Which list of rational numbers is in order greatest to least?

a)

$8.2,\ 8\frac{1}{2},\ 8.75,\ 8\frac{2}{3}$

b)

$8\frac{1}{2},\ 8.2,\ 8\frac{2}{3},\ 8.75$

c)

$8.75,\ 8\frac{2}{3},\ 8\frac{1}{2},\ 8.2$

d)

$8.2,\ 8\frac{1}{2},\ 8\frac{2}{3},\ 8.75$

18.

What is the definition of absolute value?

¿Cuál es la definición de valor absoluto?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

19.

l-4l =

a)

-4

b)

0

c)

4

d)

-0

20.

What is the absolute value of |-26| ?

a)

26

b)

-26

c)

-36

d)

36

21.

I 5 I

a)

5

b)

-5

22.

A grocery store orders 4 large containers of milk for every 7 small containers of milk. Which ratio could represent the number of large containers of milk to small containers of milk in an order from the grocery store?

a)

18:21

b)

14:8

c)

16:49

d)

8:18

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

How much of the fraction bar is not shaded?

a)

22%

b)

1/5

c)

1/4

d)

.3

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

There are 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are in 5 loaves?

a)

110

b)

173

c)

100

d)

163

29.

Freddie used 28 nails to make birdhouses. He used the same number of nails for each birdhouse. Which of the following CANNOT be the number of birdhouses Freddie made?

a)

4

b)

6

c)

7

d)

2

30.

At a school on Friday, 3 out of every 4 students were wearing jeans. There were 600 students at school on Friday. How many of the students were wearing jeans?

a)

599, because 600 − − (4 3) = 599

b)

c)

50, because 600 ÷ × (4 3) = 50

d)

31.

a)

There are a total of 10 samples being tested in this experiment.

b)

The ratio of the number of gas samples being tested to the number of liquid samples is 1 to 10.

c)

The difference between the number of solid samples being tested and the number of gas samples is 3.

d)

The ratio of the number of liquid samples being tested to the total number of samples is 1 to 2.

32.

Chung is practicing archery. So far he has fired 5 arrows at a target and hit the center 2 times. At this rate, if he fires 100 arrows at the target, how many times will he hit the center of the target?

a)

25

b)

40

c)

35

d)

50

33.

Mario earned $22.50 for babysitting his younger siblings for 3 hours. Ramona earned $30 for babysitting her younger siblings for 2 hours. Which statement is true?

a)

Ramona earned $8.50 more per hour than Mario.

b)

Mario earned $7.50 more per hour than Ramona.

c)

Ramona earned exactly twice as much per hour as Mario.

d)

Mario earned exactly twice as much per hour as Ramona.

34.

Tyler mixed 7 mL of black paint with 21 mL of white paint to make gray paint. Hillary mixed 10 mL of black paint with 30 mL of white paint to make gray paint. Which statement is true?

a)

Tyler's gray paint is a darker shade of gray than Hillary's gray paint.

b)

Hillary's gray paint is a darker shade of gray than Tyler's gray paint.

c)

Tyler and Hillary's gray paints are the same shade of gray.

d)

Tyler's gray paint is almost black and Hillary's gray paint is almost white.

35.

Of all the students in a class, $\frac{1}{5}$ of them walk to school each day. What percents of students in the class walk to school?

a)

1%

b)

5%

c)

15%

d)

20%

36.

Of the students in Mayra's grade, 12% are going on a field trip. Which decimal number represents the percent of students going on the trip?

a)

0.0012

b)

0.12

c)

1.2

d)

12.0

37.

Abe's lacrosse team played 10 games during the season. Of those, Abe played in $\frac{2}{5}$ of the games. In what percent of the games did Abe play in?

a)

20%

b)

25%

c)

40%

d)

50%

38.

Sabrina has read 45% of the book that her English teacher assigned. Which of the following correctly shows 45% as a decimal and as a fraction?

a)

45% = 0.45 = $\frac{45}{100}$ = $\frac{9}{20}$

b)

45% = 4.5 = $\frac{45}{10}$ = $\frac{9}{2}$

c)

45% = 0.045 = $\frac{45}{1000}$ = $\frac{9}{20}$

d)

45% = 45 = $\frac{450}{100}$ = $\frac{9}{2}$

39.

To pass a quiz, students need a score of at least 32 points out of 40 points. At least what percent do the students need to pass the quiz?

a)

32%

b)

64%

c)

72%

d)

80%

40.

About $\frac{3}{5}$ of a certain county is covered by land. The rest is covered by water. Which equation represents the part of the country that is covered by water?

a)

$\frac{2}{5}$ = 0.25 = 25%

b)

$\frac{2}{5}$ = 0.2 = 2%

c)

$\frac{2}{5}$ = 0.4 = 40%

d)

$\frac{2}{5}$ = 0.1 = 10%

41.

During the baseball season, Dylan got a hit 40% of his times at bat. How is 40% written as a decimal?

a)

0.40

b)

0.04

c)

4.00

d)

0.004

42.

The distance from Aria's home to the science museum is 0.72 mile. Which fraction is equivalent to this distance in miles?

a)

18/25 mi

b)

9/25 mi

c)

9/50 mi

d)

36/5 mi

43.

During basketball games this year, Melissa made 11/20 of her foul shots. How is 11/20 written as a decimal?

a)

2.20

b)

5.5

c)

0.55

d)

Not here

44.

A quart of milk contained 2% fat. What fraction represents 2%?

a)

1/50

b)

1/25

c)

1/5

d)

Not here

45.

Riley has visited 3/8 of the national parks in the United States. What percentage is equivalent to the fraction of national parks he has visited?

a)

25%

b)

40%

c)

37.5%

d)

12.5%

46.

At Blue Mountain Park, 28% of the visitors are from out of state. Which value represents 28%?

a)

3/10

b)

2.8

c)

7/25

d)

0.14

47.

Pedro answered 20 out of 25 questions on a test correctly. What fraction of the questions did Pedro answer correctly?

a)

2/25

b)

7/10

c)

3/5

d)

4/5

48.

In yesterday's game, the basketball team scored 18 of its 50 total points in the first half. The remaining points were scored in the second half. Which of the following represents the fraction of points scored in the second half?

a)

0.75

b)

32%

c)

8/25

d)

16/25

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

F

b)

G

c)

H

d)

J

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

(a)

54.

a)

F

b)

G

c)

H

d)

J

55.

-8 + -12

a)

-20

b)

20

c)

-4

d)

4

56.

5-(-3)

a)

8

b)

2

c)

-2

d)

-8

57.

-9+(-3)

a)

-6

b)

6

c)

-12

d)

12

58.

-5 + 6 + -3 =

a)

-8

b)

2

c)

-2

d)

-4

59.

-15 - (-6)

a)

-9

b)

9

c)

21

d)

-21

60.

-17 + 2

a)

15

b)

19

c)

-19

d)

-15

61.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

62.

When you add integers with the same sign, what do you do?

a)

(+) and keep the sign

b)

(-) and keep the sign of the larger

c)

(x) and keep the sign

d)

(-) and keep the sign of the smaller

63.

What do you do when you are adding integers with different signs?

a)

(-) and keep sign of smaller number

b)

(-) and keep sign of larger number

c)

(+) and keep sign of smaller number number

d)

(+) and keep sign of larger number

64.

-5 - (-17) ... Which addition sentence represents the same problem?

a)

-5 + 17

b)

-5 + (-17)

c)

5 + (-17)

d)

5 + 17

65.

8 - 14 ... Which addition sentence represents the same problem?

a)

8 + (-14)

b)

8 + 14

c)

-8 + 14

d)

-8 + (-14)

66.

When adding positive numbers on a number line, you move to the ____________.

a)

Right

b)

Left

67.

When you are subtracting using a number line, you want to jump to the.......

a)

right

b)

left

c)

up

d)

down

68.

-6-9

(a)

69.

-4-3

(a)

70.

-7+2

(a)

71.

6-9

(a)

72.

What is the missing number in this table?

a)

10

b)

25

c)

50

d)

35

73.

Determine whether the ratios are equivalent.

a)

yes

b)

no

c)

maybe

74.

Use equivalent ratios to find the unknown value.

a)

3

b)

5

c)

30

d)

35

75.

Complete the ratio table.

a)

6

b)

8

c)

9

d)

5

76.

The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.

a)

6

b)

24

c)

18

d)

72

77.

The ratio of sweaters to vests is 6:5. If there are 30 vests, how many sweaters are there? Use the tape diagram to find your answer.

a)

36

b)

42

c)

66

d)

6

78.

Elementary school students went on a field trip to a museum. Museum admission is $8.25 per student. The school paid a total of $2,986.50 for all the students to enter the museum. How many students went to the museum?

a)

362

b)

363

c)

364

d)

365

79.

Martin and his 3 friends ate dinner at a restaurant. The food cost $50.56. How much money did each person pay if they divided the bill equally?

a)

16.85

b)

15.34

c)

12.64

d)

13.42

80.

View the image and then select the correct answer

a)

F

b)

G

c)

H

d)

J

81.

View the image and then select the correct answer

a)

F

b)

G

c)

H

d)

J

82.

View the image and then select the correct answer

a)

F

b)

G

c)

H

d)

J

83.

Herman saves 22% of his monthly paycheck so he can buy a new car. He earned $825 last month. How much money did Herman save for his new car last month?

a)

$62.70

b)

$165.00

c)

$181.50

d)

$206.25

84.

At an animal shelter, 12% of the cats are Siamese. If there are 75 cats at the shelter, how many are Siamese?

a)

9

b)

12

c)

54

d)

63

85.

Mr. Aguirre rented an apartment. The security deposit was 40% of one month's rent. If the security deposit was $200, how much money does one month's rent cost?

a)

$800

b)

$400

c)

$500

d)

$700

86.

As part of a survey, 300 girls were asked to name their favorite sport. The results showed that 12 of the girls named bowling as their favorite sport. What percentage of the girls in the survey named bowling as their favorite sport?

a)

4%

b)

12%

c)

25%

d)

0.04%

87.

Out of 1200 students surveyed, 92% of them watch Youtube. How many students watch Youtube?

a)

1104 students

b)

1056 students

c)

920 students

d)

1100 students

88.

Just write the answer.

(a)

89.

6.5A - It costs $50 to rent a kayak for 4 hours. If the cost is proportional to the number of hours rented, which of the following is NOT an equivalent rate?

a)

$25 for 2 hours

b)

$37.50 for 3 hours

c)

$60 for 5 hours

d)

$75 for 6 hours

90.

A window washer clean 42 windows in 7 hours at this rate how many windows did he clean in 18 hours?

a)

108

b)

110

c)

106

d)

105

91.

1 $\frac{1}{2}$ miles = (a) yards

92.

3 feet = ____ inches

a)

24

b)

12

c)

3

d)

36

93.

1 yard= _____ feet

a)

3

b)

4

c)

5

d)

2

94.

5yds = _____ft

a)

2

b)

3

c)

15

d)

18

95.

A football field is 120 yards long, including its end zones. How many feet long is that?

a)

40 feet

b)

300 feet

c)

360 feet

d)

3,600 feet

96.

8,800 yards = (a) miles

97.

How many yards are in a mile?

a)

63,360 ft.

b)

1,760 ft.

c)

5,280 ft.

d)

1,610 ft.

98.

$\frac{5}{3}\$ is ______ than one.

a)

less

b)

equal

c)

greater

99.

$\frac{12}{12}$ is ______ to/than one.

a)

less

b)

greater

c)

equal

100.

$\frac{12}{15}$ is ______one

a)

greater

b)

less

c)

equal

101.

True or False: When multiplying $\frac{3}{4}$ and 5, the product will be greater than 5.

a)

true

b)

false, it will be less than 5

102.

When multiplying $\frac{12}{11}$ and 8, the product will be _____ than 8.

a)

less

b)

greater

c)

equal

103.

Charlie determined that the product of $2\ \frac{1}{8}$ x 3 would be greater than 3. Is Charlie correct?

a)

No, because Charlie is multiplying 3 by a fraction.

b)

No, because Charlie is multiplying 3 by a number greater than one.

c)

Yes, because Charlie is multiplying 3 by a fraction.

d)

Yes, because Charlie is multiplying 3 by a number greater than one.

104.

a)

L

b)

M

c)

N

d)

P

105.

a)

A

b)

B

c)

C

d)

D

106.

The coordinate plane is divided by a horizontal number line called what?

a)

y-axis

b)

origin

c)

x-axis

d)

quadrant

107.

The vertical number line in the coordinate plane is called what?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

108.

Which letter represents the first number in an ordered pair?

a)

X

b)

Y

c)

T

d)

G

109.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

110.

How do you correctly write an ordered pair?

a)

(y,x)

b)

(x,y)

c)

(0,0)

d)

(yy,x)

111.

What is the value of the expression $3\left(-2\right)+\left(-9\right)+3\left(-7\right)$

a)

$-36$

b)

$36$

c)

$6$

d)

$-6$

112.

The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with $60.
$60-\left(13+11+2\left(4\right)\ +2\left(2\right)+4\right)$
What amount of change in dollars should the customer received?

a)

$20$

b)

$40$

c)

$-40$

d)

$19$

113.

$7+\left(-2\right)^3$

What is the value of the expression shown

a)

$14$

b)

$9$

c)

$-1$

d)

$8$

114.

Which expression is equivalent to
$2\left(3+4\right)-3\cdot8^2$

a)

$6\left(8\right)-48$

b)

$2\left(8\right)-3\cdot64$

c)

$10-\left(24\right)^2$

d)

$7\cdot64$

115.

Which list of rational numbers is in order greatest to least?

a)

$8.2,\ 8\frac{1}{2},\ 8.75,\ 8\frac{2}{3}$

b)

$8\frac{1}{2},\ 8.2,\ 8\frac{2}{3},\ 8.75$

c)

$8.75,\ 8\frac{2}{3},\ 8\frac{1}{2},\ 8.2$

d)

$8.2,\ 8\frac{1}{2},\ 8\frac{2}{3},\ 8.75$

DECEMBER 1 Study Guide

Total questions: 115

Worksheet time: 6hrs 45mins

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