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Worksheets

Kentucky Summatives Mathematics Released Items

Total questions: 80

Worksheet time: 3hrs 2mins

Name
Class
Date
1.

Which value is equivalent to 74?

a)

28

b)

11

c)

343

d)

2,401

2.

Members in Mr. Will’s math club write expressions using exponents. The table below shows each member’s expression. After the members evaluate each expression, which members have expressions with the same values?

a)

Tayla and Malinda

b)

Thomas and Ellis

c)

Maya and Malinda

d)

Ellis and Tonya

e)

Maya and Thomas

3.

What is the coefficient in the expression 7t (17 – 4) ÷ 2 + 9?

a)

2

b)

7

c)

9

d)

4

4.

Divide 26,808 by 20. Enter the exact quotient with decimal _________________.

a)

13,404

b)

1304.44

c)

130.04

d)

1340.4

5.

What is the quotient of 58,110 and 65?

a)

84

b)

894

c)

994

d)

704

6.

Molly has 1 3/8 cups of strawberries. She needs 3/8 cup of strawberries to make one batch of muffins. How many batches can Molly make?

a)

3 2/3

b)

2/3

c)

6/16

d)

3/8

7.

Jase has 5 1/3 feet of ribbon. It takes 2/3 foot of ribbon to make one bracelet. In total, how many bracelets can Jase make? Write your answer in the box.

a)

9

b)

18

c)

8

d)

11

8.

The model below represents a division problem. Which equation is represented by the model?

a)

2 1/3 ÷ 2/3 = 3 1/2

b)

2 1/3 ÷ 2/3 = 3 1/3

c)

7/1 ÷ 1/3 = 2 1/3

d)

2/3 ÷ 3 1/3 = 2 1/3

9.

Catlin uses 4/5 pound lumps of clay for projects she makes on the pottery wheel. The diagram below models how Caitlin will divide 3 pounds of clay for projects. How many lumps of clay can Caitlin prepare to use for projects?

a)

2 1/5

b)

2 2/5

c)

3 3/5

d)

3 3/4

10.

Mr. Fraser asked his kids to find the greatest common factor 24 and 36. Four different answers were given which answer is correct?

a)

2

b)

3

c)

12

d)

2

11.

What is the value of the expression $124.30 - $46?

a)

$78.30

b)

$88.30

c)

$123.84

d)

$124.16

12.

What is the sum of 119.704 and 71.5?

a)

180.709

b)

181.204

c)

190.709

d)

191.204

13.

Refer to the number line.

a)

A

b)

B

c)

C

d)

D

e)

E

14.

For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?

a)

Comparison W

b)

Comparison X

c)

Comparison Y

d)

Comparison Z

15.

Charles records the elevations of four different cities. Which city has the lowest elevation, and why?

a)

Haynestown because 7 < -8

b)

Jamesville because 0 > -2

c)

.Kenan Lake because -8 < -2

d)

Lillington because -2 > 0

16.

The temperature in degrees Celsius in Milwaukee is shown on the number line by point M.


The table shows the temperatures in six other cities. Which cities) have a colder temperature than Milwaukee? Select ALL that apply.

a)

Chicago

b)

Detroit

c)

Green Bay

d)

Indianapolis

e)

Kansas City

17.

A stock's value in dollars changed by -5.75 on Monday and +3.25 on Tuesday. Which statement correctly compares the changes in the stock's value?

a)

A

b)

B

c)

C

d)

D

18.

Order the integers from least to greatest.

-9, 0, -5, -1, 2, 5, -12, 7, 8, -2

a)

-2 -9, -5, -12-1, 0, 2, 5, 7, 8

b)

-12, -9, -5, -2, -1, 0, 2, 5, 7, 8

c)

-9, -5, -2, -1, 0, 2, 5, 7, 8, -12

d)

0, -12, -9, -5, -2, -1, 2, 5, 7, 8

19.

Order the rational numbers from least to greatest.

a)

0, 0.25, 2.1, 2 3/4, 3.9, 3.99, -9 1/4, -6.3, -6, -4 1/2, -4, -1.5,

b)

-6, -4 1/2, -4, -1.5, 0, 0.25, 2.1, 2 3/4, 3.9, 3.99, -9 1/4, -6.3,

c)

-6.3, -6, -4 1/2, -4, -1.5, 0, 0.25, 2.1, 2 3/4, 3.9, 3.99, -9 1/4,

d)

-9 1/4, -6.3, -6, -4 1/2, -4, -1.5, 0, 0.25, 2.1, 2 3/4, 3.9, 3.99

20.

Tiffany is making gift bags for her classmates. The table shows the number of each item Tiffany has to put into the gift bags. Each gift bag will have the same number of candy canes, the same number of packs of stickers, and the same number of pieces of fruit.


If Tiffany makes the maximum number of gift bags, how many candy canes will be in each gift bag?

a)

8 candy canes

b)

16 candy canes

c)

10 candy canes

d)

7 candy canes

21.

In the chart below, Ciara recorded the changes in her bank account for a week. She started the week with $150 in her account. How much money did she have in her account at the end of the week?

a)

$203

b)

$179

c)

$7

d)

$111

22.

Four students found the quotient of 4,453 ÷ 7. Which student solved the problem correctly?

a)
b)
c)
d)
23.

On a graph, Point U is located at (4 ,5). Point M is located 8 units down from Point U. In which quadrant is Point M located?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

24.

Kavion has 3 1/2 liters of water. If he drinks 7/8 liter per hour, in how many hours will Kavion finish the water?

a)

1 hour

b)

4 hours

c)

2 1/2 hours

d)

3 5/8 hours

25.

If point -9 is located to the left of point -5 on a real number line, which inequality holds true?

a)

-5 > 9

b)

-5 < -9

c)

-9 > 5

d)

-9 < -5

26.

Simplify the following expression.

a)

32

b)

42

c)

84

d)

14

27.

The submarine was -4 feet below sea level. The scuba driver was 9 feet above the submarine. What was the scuba drives elevation?

a)

-4

b)

9

c)

5

d)

0

28.

What is the lest common multiple of 8 and 12?

a)

12

b)

24

c)

48

d)

96

29.

Hermando wants to use the Distributive Property to rewrite 72 + 54. Which expressions are equivalent to the given expression? Select ALL that apply.

a)

7(2+54)

b)

8(9 + 18)

c)

18(4 +3)

d)

2(4 + 7)

e)

6(12 +9)

30.

Which statement is true about the two points,

R and R’?

a)

Point R is reflected across the y-axis to create point R’.

b)

Point R is reflected across the x-axis to create point R’.

c)

Point R is located in Quadrant II.

d)

Point R has a negative x-coordinate.

31.

Write a coordinate pair for the Point located 7 units down from Point D?

a)

(4,1)

b)

(1,-3)

c)

(6,0)

d)

(1,4)

32.

The grid shows rectangle CDEF. What is the area of the rectangle?

a)

17 square units

b)

34 square units

c)

72 square units

d)

81 square units

33.

Find the length of the line segment whose points are (-3,4) and (-3,9).

a)

5 units

b)

3 unit

c)

13 units

d)

6 units

34.

How many terms are in the expression 3(a + 4) + 6(b + 2)?

a)

2 terms; 3a and 6b are the terms.

b)

3 terms; 3a, 6b, and 24 are the terms.

c)

4 terms; 3a, 6b, 12, and 24 are the terms.

d)

6 terms; a, b, 3, 6, 12, and 24 are the terms

35.

Which statement could model 24 – 4n? Select ALL that apply.

a)

Cristian spent $24 on a ticket to a game and bought 4 candy canes.

b)

Kerrington had a 24-ounce drink which she poured into 4-oz cups for n people.

c)

Adrain’s age is 24 less than 4 times Dre’s age.

d)

There were 24 tires in a shop, and n cars used 4 tires each.

e)

There are 24 slices of pizza. La’joy gave out n pizzas containing four slices.

36.

The points (-3,2) and (-3,-5) are plotted on a coordinate plane. Which expression can be used to find the distance between the two points?

a)

|-5| + |2|

b)

|-5| - |2|

c)

|-3| + |-3|

d)

|-3| - |-3|

37.

Graph and connect the points on the coordinate plane in order to form shape (-6,3), (4,3), (4,-1), and (-6,-1). Which statement is true?

a)

The rectangle is 10 units long and 4 units wide.

b)

The square is 4 units long on each side.

c)

The rectangle is 5 units long and 2 units wide.

d)

The square is 8 units long on each side.

38.

Which expression represents the perimeter of the triangle?

a)

21k + 25

b)

17k + 21

c)

9k + 36

d)

6k + 17

39.

What is the product of 2.71 and 2?

a)

4.71

b)

2.73

c)

5.42

d)

2.91

40.

Four students are asked to write down an expression that represents “thirteen times the product of 7 and we.” Which response is correct?

a)

13 + (7 • w)

b)

13(7w)

c)

13 – 7w

d)

b.7 + 13w

41.

Which expressions are equivalent to 8(4 – 3r)?

Select ALL that apply.

a)
b)
c)
d)
e)
42.

Mrs. Thompson asks her students to simplify the expression written on the board. Four students’ responses are listed in the table. Which student simplifies the expression correctly and why?

a)

Paris

b)

Derrick

c)

Star

d)

Cortiera

43.

Mr. Jones asked students to factor the expression 36x – 18. Four students offered their answers. Select ALL that apply.

a)

Karina

b)

Angelle

c)

Tameria

d)

Qu'Shara

44.

Given the following expression 3(x ÷ y)z. What values for x, y, and z will result in the greatest value?

a)

x = 6, y = 3, and z = 2

b)

x = 6, y = 2, and z = 3

c)

x = 12, y = 6, and z = 5

d)

x = 12, y = 4, and z = 2

45.

A traffic signal has 1 red, 1 yellow, and 1 green light. Which relationships can be described by the ratio 2 to 3?

a)

Red and green lights on a traffic signal

b)

Red lights to the total number of lights

c)

Lights that are not red to the total number of lights

d)

Lights that are yellow to the lights that are not yellow

46.

Which of the following is a non-statistical question?

a)

What is the age of all students at your school?

b)

How many siblings does Jason have?

c)

What was today’s highest temperature in all Tennessee counties?

d)

How much cougar cash did each student in my school earn today?

47.
a)

60 square units

b)

30 square units

c)

12 square units

d)

5 square units

48.

A bakery sells 5 apple muffins for every two bran muffins sold. Complete the table of equivalent ratios.

a)

12

b)

7

c)

15

d)

18

49.

What is the ratio of triangles to all shapes? Write your answer three different ways.

a)

9 to 18

b)

3 to 18

c)

6 to 18

d)

1 to 3

50.

Of the 220 tickets available for a school play, 99 have been sold. What percent of tickets have sold?

a)

55%

b)

45%

c)

99%

d)

60%

51.

The base of a rectangular prism is 270 m2. The volume is 2,340 m3 The formula for finding the volume of a rectangular prism is V= l ∙ w ∙ h or V = Bh. What is the height of the rectangular prism?

a)

8 m

b)

9.6 m

c)

8.6 m

d)

21 m

52.

Ruby asked the students in her class how long their families spent making dinner each night. This box-and-whisker plot shows the results. What is the least and greatest amount of time spent making dinner?

a)

20 minutes and 35 minutes

b)

20 minutes and 50 minutes

c)

25 minutes and 45 minutes

d)

35 minutes and 50 minutes

53.

Which is the best deal?

a)

4 pounds of tomatoes for $3.56

b)

7 pounds of tomatoes for $5.95

c)

9 pounds of tomatoes for $6.57

54.

A family went out to dinner and the cost of the food was $80. If the tip given was 15%, what was the total cost of dinner including the tip?

a)

$68

b)

$984

c)

$12

d)

$92

55.

Which set of data have the same median and mode?

a)

4, 8, 9, 10, 6, 3, 9, 5, 9

b)

6, 8, 8, 10, 4, 5, 12, 8, 11

c)

6, 11, 8, 10, 4, 6, 12, 9, 6

d)

8, 8, 9, 7, 3, 6, 11, 12, 7

56.

Destiny types 140 words in 7 minutes. Enter the number of words Destiny types in 11 minutes at this rate.

a)

220 words

b)

20 words

c)

77 words

d)

980 words

57.

Mark is traveling to a basketball tournament. The table below shows the relationship between the time he traveled in hours, t, and the distance he has traveled in miles, d.


Write an equation to represent the relationship in the table?

a)

h = 55d

b)

h = d

c)

d = 55h

d)

d = h

58.

The dot plot below shows the vertical jump height (in inches) of some NBA players. How many players jumped higher than 𝟒𝟎 inches?

a)

2 players

b)

9 players

c)

1 player

d)

23 players

59.

Find the distance between R(-5, 3) and S(-5, -2).

a)

2 units

b)

3 units

c)

5 units

d)

6 units

60.

What is the mean of the of the following set of data?

a)

19

b)

14

c)

33

d)

23

61.

Find the quotient.

a)

7.8

b)

7

c)

78

d)

0.78

62.

A professor asked her students to keep track of how many websites they visit each day. This box-and-whisker plot shows the results. What is the median?

a)

4

b)

7

c)

10

d)

8

63.

The table shows the cost and number of hamburgers ordered. Which equation represents the relationship in the table? Let c represent the cost and h represent the number of hamburgers order.

a)

h = 5.5c

b)

h = 11c

c)

c = 11h

d)

c = 5.5h

64.

What are the least and most number of hours slept with no school the next day reported in the survey?

a)

10 and 11

b)

12 and 13

c)

5 and 13

d)

10 and 12

65.

Subtract 9.037 – 1.2. Write an expression that can be used to check your answer?

a)

7.837 - 1.2 =

b)

8.837 + 1.2 =

c)

7.837 + 1.2 =

d)

1.2 + 9.037 =

66.

Find the distance between Point C (3, -4) and Point D (3, -2).

a)

6 units

b)

2 units

c)

3 units

d)

8 units

67.

What is the shape of the distribution?

a)

a mound with symmetrical data evenly distributed about the mean

b)

skewed with data tending to the left

c)

skewed with data tending to the right

68.

Dividing fractions.

a)

27/60

b)

4/5

c)

9/10

d)

12/60

69.

Which of the following equations does not have a solution of x = 7?

a)

x + 6 = 13

b)

7x = 84

c)

x + 24 = 31

d)

5x =35

70.

Matt wants to purchase a jacket for school. He has saved $35 in his piggy bank. Matt knows the jacket costs at least $80. The inequality j + 35 ≤ 80 represents the amount of money Mark still needs (j). Which represents the solution set of the inequality j + 35 ≤ 80?

a)

j ≤ 35

b)

j ≥ 45

c)

j ≤ 45

d)

j ≤ 115

71.

Lynn is folding socks. There are 18 socks with stripes and 22 solid color socks. What is the ratio of striped socks to solid-colored socks? Write your answer three different ways.

a)

40:18

b)

18:40

c)

22:18

d)

18:22

72.

A water pump can pump 250 gallons from a pool in 5 minutes. What is the unit rate of the pump in gallons per minute?

a)

245 gallons per minute

b)

50 gallons per minute

c)

255 gallons per minute

d)

1,250 gallons per minute

73.

Asha plays her guitar for 60 minutes each day. She uses 25% of her practice time to practice chords. How many minutes does Asha practice chords each day?

a)

15 minutes

b)

25 minutes

c)

85 minutes

d)

35 minutes

74.

There are 9 oak trees in the park. The oak trees make up 45% of the trees in the park. How many total trees are in the park?

a)

54 trees

b)

20 trees

c)

36 trees

d)

45 trees

75.

Which shows 24 + 54 written using the GCF and the distributive property?

a)

12(2 + 4)

b)

6(4 + 9)

c)

2(12 + 27)

d)

3(8 + 51)

76.

What is the absolute value of |-4|?

a)

-4

b)

1/4

c)

4

d)

-1/4

77.

Mr. Tran asked students to evaluate the expression 25. Which student is correct? Explain.

a)

Tim; raised 5 to the 2nd power

b)

Ann; multiplied 2 x 5

c)

Rob; raised 2 to the fifth power

78.

Which statement represents the expression 3r – 5?

a)

The product of 3 and a number less than 5

b)

5 minus the product of 3 and a number

c)

5 less than the product of 3 and a number

d)

The product of 3 and a number subtracted from 5

79.

Which of the following is not true?

a)

-5 > |5|

b)

|-5| = 5

c)

|-5| = |5|

d)

|5| > |-5|

80.

Students are learning about organic compounds. An acetic acid molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms.


Write a ratio for the carbon atoms to all the atoms in 2 acetic acid molecules.

a)

16:4 or 4;1

b)

4:2 or 2:1

c)

2:4 or 1:2

d)

4:16 or 1:4