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6th Grade Math Review Florida BEST standards FAST test

Total questions: 79

Worksheet time: 58mins

Name
Class
Date
1.

Find the perimeter of the rectangle.

2.

Find the value of the expression if r = 8 and f = 3:

4f+r−2\frac{4f+r}{-2}

3.

Select all of the situations that can be represented by the integer -13:

a)

Gavin deposits $13 at the bank.

b)

The submarine was 13 feet below sea level.

c)

Katherine withdraws $13 from her bank account.

d)

The temperature increases 13 degrees Celsius.

e)

The temperature decreases 13 degrees Celsius.

4.

What inequality is modeled by the number line?

5.

12 is 40% of what number?

a)

30

b)

24

c)

36

d)

48

6.

Find the area of the triangle:

a)

84 square inches

b)

72 square inches

c)

96 square inches

d)

168 square inches

7.

Find the mean of the following set of test scores: 92, 75, 56, 56, 89

a)

73.6

b)

66.5

c)

80.2

d)

70.0

8.

What is the Greatest Common Factor (GCF) of 8 and 12?

a)

4

b)

2

c)

6

d)

8

9.

A scuba diver descends from sea level to the location shown on the number line. Select all of the true statements:

a)

The diver's elevation is -30 m.

b)

The diver descended |-30| m.

c)

The diver descended -30 m.

d)

The distance from 0 to the point on the line is -30 m.

e)

The distance from 0 to the point on the line is 30 m.

10.

Use the net to find the surface area of the right rectangular prism shown.

11.

A survey was taken to find out how much a typical student paid for their school supplies. Results: 65, 55, 80, 5, 51, 12, 8, 43, 50. Use the number line to create a box plot for the data set.

a)

Minimum: 5, Q1: 8, Median: 50, Q3: 55, Maximum: 80

b)

Minimum: 8, Q1: 12, Median: 51, Q3: 55, Maximum: 80

c)

Minimum: 5, Q1: 12, Median: 51, Q3: 65, Maximum: 80

d)

Minimum: 5, Q1: 8, Median: 43, Q3: 55, Maximum: 65

12.

The histogram represents the volunteer hours for the members of the 6th grade community service club. Which description best describes the data?

a)

The distribution is skewed.

b)

Most students volunteered 40-50 hours.

c)

The distribution is symmetric.

13.

What is the Least Common Multiple (LCM) of 8 and 6?

(a)  

14.

Put the following numbers in order from greatest to least: -2.1, 7%, -3, -42%, 1/2, 1.2

a)

1.2, 1/2, 7%, -2.1, -3, -42%

b)

1.2, 7%, 1/2, -2.1, -3, -42%

c)

7%, 1.2, 1/2, -2.1, -3, -42%

d)

1/2, 1.2, 7%, -2.1, -3, -42%

15.

Find the median of the following set of test scores: 92, 75, 56, 56, 89

a)

75

b)

56

c)

89

d)

92

16.

Rewrite 120 as a product of prime factors (prime factorization).

a)

23⋅3⋅52^3\cdot3\cdot5

b)

22 ⋅ 3 ⋅ 52^2\ \cdot\ 3\ \cdot\ 5

c)

2⋅3⋅4⋅52\cdot3\cdot4\cdot5

d)

23⋅522^3\cdot5^2

17.

Aria has finished 25 percent of her homework which has 84 questions in all. How many questions has Aria finished?

a)

21

b)

16

c)

25

d)

32

18.

Find the volume of the right rectangular prism:

(Hint: V=lwh)

19.

Solve for n. 201 = 3n

(a)  

20.

A teacher is making treat bags with candy eggs. She wants all of the bags to be exactly the same with an equal amount of each color in the bags. There are 24 blue eggs, 18 pink eggs, and 36 yellow eggs. Using all of the candy eggs, how many treat bags can the teacher make? What is the greatest number of each color that can be in the bags?

a)

The greatest number of treat bags is 6. Each bag will have 4 blue eggs, 3 pink eggs, and 6 yellow eggs.

b)

The greatest number of treat bags is 8. Each bag will have 3 blue eggs, 2 pink eggs, and 4 yellow eggs.

c)

The greatest number of treat bags is 12. Each bag will have 2 blue eggs, 1 pink egg, and 3 yellow eggs.

d)

The greatest number of treat bags is 9. Each bag will have 2 blue eggs, 2 pink eggs, and 4 yellow eggs.

21.

Write an expression to represent the following situation: "5 more than three times a number"

a)

3x + 5

b)

3x - 5

c)

5x + 3

d)

3 + 5x

22.

Find the value of the expression: (4/3) × (2/6)

a)

4/9

b)

2/3

c)

8/18

d)

1/2

23.

Find the range of the following set of test scores: 92, 75, 56, 56, 89

a)

36

b)

28

c)

40

d)

20

24.

The ratio of dogs to cats at the shelter is 3 to 2. If there are 48 dogs, how many cats are at the shelter?

a)

32

b)

24

c)

36

d)

40

25.

If you divide a rectangle into 20 sections and you shade 9 of the sections, what percent will be modeled by the shaded rectangle?

a)

20%

b)

35%

c)

45%

d)

60%

26.

Use the distributive property to simplify the expression: 5(2n + 3)

a)

10n + 15

b)

10n + 3

c)

7n + 8

d)

5n + 15

27.

What is the median represented on the box plot?

28.

What is the distance on the coordinate plane between the ordered pairs (-4, -2) and (11, -2)?

a)

7 units

b)

11 units

c)

15 units

d)

13 units

29.

Garrett had less than eight dollars in his wallet. Write an inequality to represent this situation.

a)

x < 8

b)

x > 8

c)

x ≤ 8

d)

x ≥ 8

30.

Find the value of the expression if a = -1 and b = 14:

a+(b+3)(a)a+(b+3)(a)

31.

Solve for x. x - 213.97 = 48.1

a)

x = 262.07

b)

x = 165.87

c)

x = 48.13

d)

x = 213.97

32.

What is the distance on the coordinate plane between the ordered pairs (5, -2) and (5, -10)?

a)

8

b)

10

c)

6

d)

12

33.

What are the coordinates of W' as a reflection across the y-axis?

a)

(-4,4)

b)

(4,4)

c)

(-3,4)

d)

(3,-4)

34.

At the county fair, every 10th visitor gets a free t-shirt and every 18th visitor gets a free ride ticket. Which visitor will be the first person to get both a free t-shirt and a free ride ticket?

a)

90th visitor

b)

80th visitor

c)

100th visitor

d)

180th visitor

35.

Select all of the statements that are true:

a)

|7| > |-7|

b)

|7| = |-7|

c)

|2| < |-8|

d)

|-15| = -|15|

e)

|2| > |-8|

36.

Which of the following number lines correctly represents the inequality: x > 1?

a)

A number line with an open circle at 1 and shading to the right.

b)

A number line with a closed circle at 1 and shading to the right.

c)

A number line with an open circle at 1 and shading to the left.

d)

A number line with a closed circle at 1 and shading to the left.

37.

The principal has 112 ice cream coupons to reward students with. She has already given away 14 of the coupons. What percent of the ice cream coupons has she given away to the students so far? (14 is what percent of 112?)

a)

12.5%

b)

8%

c)

20%

d)

25%

38.

The volume of the rectangular prism is 98.4 cubic feet. Find the height.

(hint: V=lwh)

a)

8 ft

b)

6 ft

c)

12 ft

d)

10 ft

39.

A dolphin swam 12 feet below sea level. Write an integer to represent this situation.

a)

-12

b)

12

c)

0

d)

-1

40.

Silas rode his bike for 90 minutes and he traveled 15 miles. What unit rate did he travel in miles per hour?

a)
10 miles per hour
b)
12 miles per hour
c)
20 miles per hour
d)
5 miles per hour
41.

The line plot represents the number of free throws made by a basketball team so far this season. What is the median number of free throws made?

a)

3

b)

2

c)

4

d)

5

42.

A hot dog at the carnival costs $5. This is 3 dollars more than a popcorn. Which equation could be used to find the price of a popcorn (p)?

a)

p - 3 = 5

b)

p + 3 = 5

c)

3p = 5

d)

p/3 = 5

43.

Find the area of the composite figure:

a)

24.8 square feet

b)

18.6 square feet

c)

31.0 square feet

d)

15.5 square feet

44.

A cube has a side length of 3 cm. What is the volume of the cube?

(hint: V=lwh)

a)

27 cubic centimeters

b)

9 cubic centimeters

c)

18 cubic centimeters

d)

36 cubic centimeters

45.

Find the value of the expression: 52+225^2 + 2^2

a)

29

b)

25

c)

30

d)

28

46.

Solve for x.

84 + x = 113

47.

The ordered pair (-3, 4) was plotted on the coordinate plane. What will be the new ordered pair after the point is reflected across the x-axis?

a)

(-3, -4)

b)

(3, 4)

c)

(-3, 4)

d)

(3, -4)

48.

Find the area of the rectangle.

a)

15 square units

b)

10 square units

c)

20 square units

d)

12 square units

49.

Find the value of the expression if x = 4 and y = 2: x2−10y\frac{x^2-10}{y}

50.

Selah walked 5/4 miles on Monday. She walked 7/4 miles on Tuesday. If she wants to walk a total of 5 miles this week, how many more miles will she still need to walk?

a)

2 miles

b)

1 mile

c)

3 miles

d)

4 miles

51.

Write an expression to represent 'w is increased by 5'.

a)

w + 5

b)

w - 5

c)

w × 5

d)

w ÷ 5

52.

A cube has a side length of 3 cm. Find the surface area of the cube.

a)

54 cm²

b)

27 cm²

c)

36 cm²

d)

18 cm²

53.

Find the value of the expression: 4 - (-10) + 5

a)

19

b)

-1

c)

15

d)

9

54.

Alejandro has 20 dollars to spend at the movie theater for his snacks. Using the variable s for snacks, write an inequality to represent the situation.

a)

s ≤ 20

b)

s ≥ 20

c)

s = 20

d)

s > 20

55.

There are 3 green marbles for every 5 yellow marbles in a bag. There is a total of 15 green marbles in the bag. How many total yellow and green marbles are in the bag?

a)

There are 25 yellow marbles and 15 green marbles, so 40 marbles in total.

b)

There are 20 yellow marbles and 15 green marbles, so 35 marbles in total.

c)

There are 30 yellow marbles and 15 green marbles, so 45 marbles in total.

d)

There are 15 yellow marbles and 15 green marbles, so 30 marbles in total.

56.

Which expressions are equal to 252^5 ?

a)

(5)(5)

b)

(2)(2)(2)(2)(2)

c)

32

d)

2 + 2 + 2 + 2 + 2

e)

(5)(2)

57.

What value of m makes the equation true?

60=−5m60=-5m

58.

What is the interquartile range of the data represented on the box plot?

a)

40

b)

20

c)

60

d)

50

59.

What is 150% of 30?

a)

45

b)

30

c)

60

d)

35

60.

What are the coordinates of point W?

a)
(0, 0)
b)
(-3, -1)
c)
(-5, -3)
d)
(-4, -2)
61.

What quadrant is point W located?

a)

I

b)

II

c)

III

d)

IV

62.

This is the net for which three-dimensional shape?

a)
Sphere
b)
Pyramid
c)
Cylinder
d)
Cube
63.

Select all of the statistical questions:

a)

How many minutes does a typical student read each night?

b)

How many pints are in a gallon of milk?

c)

How many teachers work at the middle school?

d)

How many cell phones does the average household own?

e)

How many toppings does the typical student like on pizza?

64.

A store sells bags of trail mix. The ratio of cashews to raisins in the trail mix is 11 to 5. If there is 60 raisins in the large bag of trail mix, how many cashews will be in the bag?

a)

132 cashews

b)

120 cashews

c)

110 cashews

d)

66 cashews

65.

Which expressions are equal to 48 + 32?

a)

6(8 + 32)

b)

8(6 + 4)

c)

8(6) + 8(4)

d)

8(6 x 4)

e)

16(3 + 2)

66.

One ticket at the movie theater is $9. On Tuesday, if you buy one ticket, you can buy a second ticket for 50% off. What is the cost of 2 movie tickets on Tuesday?

a)

$13.50

b)

$18

c)

$9

d)

$4.50

67.

What is the data interval for the top 25% of the test scores represented on the box plot?

a)

70 to 90

b)

50 to 60

c)

60 to 80

d)

40 to 50

68.

The length of a rectangle is twice its width. If w represents the width, which expression represents the perimeter of the rectangle?

a)

2w + 2w + 2w + 2w

b)

2(2w)

c)

4w

d)

w + w + 2w + 2w

69.

The line plot represents the number of free throws made by a basketball team so far this season. Which descriptions correctly describe the data?

a)

There is a cluster at 6 free throws.

b)

There is an outlier at 9 free throws.

c)

There is a peak at 3 free throws.

d)

The distribution is symmetric.

e)

Three players made no free throws.

70.

Use the net to find the surface area of the right rectangular pyramid.

71.

Select all the situations that describe a unit rate:

a)

5 dollars for every half hour

b)

25 gallons of gas for each mile

c)

12 cats for every 3 dogs

d)

4 pencils for every pen

e)

3 homework pages per day

72.

Find the value: 24.06 ÷ 3

73.

If the area of the triangle is 9 square meters. What is the height of the triangle?

a)

4 meters

b)

2 meters

c)

6 meters

d)

8 meters

74.

Select all of the values that are equivalent to 1 351\ \frac{3}{5} :

a)

1.6

b)

160%

c)

13/5

d)

135%

e)

8/5

75.

The school store sells supply boxes with the supplies shown in the table. What is the ratio of pens to total supplies in the box?

a)

a. 2:18

b)

b. 2:16

c)

c. 2:6

d)

d. 2:10

76.

The histogram represents the average low temperatures each day for one winter season for a particular city. Is the data symmetrical?

a)

No, the data is not symmetrical.

b)

Yes, the data is perfectly symmetrical.

c)

Yes, the data is approximately symmetrical.

d)

The data cannot be determined from the histogram.

77.

Kristina recorded all of her scores on math tests for the school year. The scores were: 95, 80, 100, 22, 95, 90, 70, 85, 95. Are there any outliers in the data set? If so, what is the outlier?

a)

100

b)

95

c)

22

d)

There are no outliers

78.

Which expressions can be modeled by the number line?

a)

-30 (3)

b)

10 (3)

c)

-10 (3)

d)

-10 (-3)

e)

3 (-10)

79.

Eli rode his bike 20.5 kilometers last week. This week he rode his bike 19 kilometers. How many more meters did he ride last week?

a)

150 meters

b)

1,500 meters

c)

205 meters

d)

2,050 meters

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