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EOG 5th Grade Math Benchmark

Total questions: 88

Worksheet time: 3hrs 22mins

Name
Class
Date
1.

What is the value of the expression?


2 X (42 + 18) - 16 ÷ 4

a)

22

b)

30

c)

112

d)

116

2.

What is the first step in evaluating the expression shown below?

8 - 7 + 12 ÷ (3 + 1)

a)

Add 3 and 1

b)

Divide 12 by 3

c)

Add 7 and 12

d)

Subtract 7 from 8

3.
(7 + 15) × (38 + 15)
a)
The difference between 7 and 15 plus the difference between 38 and 15
b)
The product of 7 and 38 plus 15
c)
The sum of 7 and 15 times the sum of 38 and 15
d)
The product of 7 and 15 times the product of 38 and 15
4.
(30 × 2) + (8 × 2)
a)
The product of 30 and 2 plus the product of 8 and 2
b)
The product of 30 eights and 8 twos
c)
The sum of 30 and 2
d)
The sum of 30 and 8 times 2
5.

Trevor and Laura are playing a game called “Guess the Rule.” Laura says a number and Trevor names a new number that is created using the rule he made. Trevor’s rule is to add 23 to Laura’s number. Which table shows the pattern using Trevor’s rule?

a)
b)
c)
d)
6.

Jay’s teacher gave him an input number and a rule for a numerical pattern. Jay wrote an output number using the rule as shown in the table.


Which statement about the pattern in Jay’s table is true?

a)

The pattern is additive because the input plus 246 equals the output.

b)

The pattern is multiplicative because the input times 3 equals the output.

c)

The pattern is additive because the input plus 75 equals the output.

d)

The pattern is multiplicative because the input times 2 equals the output.

7.

John walks laps around a track. The table shows the time it takes John to walk different numbers of laps around the track.


Which statement about the numerical pattern in the table is true?

a)

The table shows an additive pattern because the pattern in the table follows the rule y = x + 13.

b)

The table shows a multiplicative pattern because the pattern in the table follows the rule x = 7.5y.

c)

The table shows an additive pattern because the pattern in the table follows the rule x = y + 13.

d)

The table shows a multiplicative pattern because the pattern in the table follows the rule y = 7.5x.

8.

How much larger is the value of the 9 in 98,523 than the value of the 9 in 359,503?

a)

10 times greater

b)

100 times greater

c)

2 times greater

d)

4 times greater

9.

Compare the values of the digit 6 in these numbers 364 and 344.06

a)

the value of the 6 in 364 is 1/1000 the value of the 6 in 344.06

b)

the value of the 6 in 364 is 10 times greater than the value of the 6 in 344.06

c)

the value of the 6 in 364 is 100 times greater than the value of the 6 in 344.06

d)

the value of the 6 in 364 is 1000 times greater than the value of the 6 in 344.06

10.

Which is the best way to compare the values of the digit 5 in these two numbers: 15.2

3.5

a)

the value of the 5 in 3.5 is 1/100th the value of the value in 15.2

b)

the value of the 5 in 3.5 is 1/10th the value of the value in 15.2

c)

the value of the 5 in 3.5 is 10 times greater than the value in 15.2

d)

the value of the 5 in 3.5 is 100 times greater than the value in 15.2

11.

12.3 ÷\div 10210^2  =

a)

.123

b)

1.23

c)

12.3

d)

123

12.
240 ÷ 10 = 
a)
24
b)
40
c)
240
13.
45 x 100 = 
a)
450
b)
4,500
c)
45,000
14.

The chocolate factory is about 1,200 miles from Mrs. Hill's house and this makes her very sad! What is this distance written as a whole number multiplied by a power of ten?

a)

120 X 100

b)

12 X 102

c)

12 X 103

d)

12 X 104

15.

Paloma drew a picture of Duke that was 1/10 of his actual size. Duke is 3.2 feet long. How long was her drawing?

a)

3.2 ft

b)

0.32 ft

c)

0.032 ft

d)

32 ft

16.

Which correctly shows the expanded notation of 34.78?

a)

(3 x 10) + (4 x 1) + (7 x 1/10) + (8 x 1/100)

b)

(3 x 100) + (4 x 1) + (7 x 1/10) + (8 x 1/100)

c)

(3 x 10) + (4 x 1) + (7 x 10) + (8 x 100)

d)

(3 x 100) + (4 x 10) + (7 x 1/10) + (8 x 1/100)

17.
12.087
Which number is in the thousandths place?
a)
1
b)
0
c)
8
d)
7
18.
263.709
Which number is in the hundredths place?
a)
2
b)
9
c)
0
d)
7
19.
How should 287.42 be written in words?
a)
two hundred eighty-seven and forty two
b)
two hundred eighty-seven and forty-two tenths
c)
two hundred eighty-seven and forty-two hundredths
d)
two hundred eighty and seven hundred forty-two thousandths
20.
What is another way to write 45.009?
a)
forty-five and nine hundred
b)
forty-five and nine tenths
c)
forty-five and nine thousandths
d)
forty-five and nine hundredths
21.
Tammy, Kelley, and Jim love reading books.
Tammy read 7.75 hours last month.
Kelley read 7.69 hours.
Jim read 7.075 hours.
Who spent the most time reading?
a)
Tammy
b)
Kelley
c)
Jim
22.
Emily bought the following amounts of fruit at a fruit stand:
0.75 pounds of grapes
0.5 pounds of bananas
1.25 pounds of apples

Which fruit weighs the least?
a)
Grapes
b)
Bananas
c)
Apples
d)
Fruit Salad
23.
Which comparison is true?
a)
0.72 < 0.072
b)
0.72 > 0.072
c)
0.72 = 0.072
24.
Which of the following is 4.52 when rounded to the nearest hundredth?
a)
4.453
b)
4.449
c)
4.512
d)
4.523
25.
Which of the following is true?
a)
1.72 rounded to the nearest tenth is 1.7
b)
2.62 rounded to the nearest tenth is 2.7
c)
3.41 rounded to the nearest whole number is 4
d)
10.231 rounded to the nearest hundredth is 10.22
26.

Cody and Brad bought pizza for the class party. Cody bought 12 pizzas for $15 each. Brad bought 8 pizzas for $12 each. Who spent more money on pizza?

(a)  

27.

Jodie had a summer job as a veterinarian. She worked a total of 326 hours and made $13 per hour. How much money did Jodie make over the summer?

(a)  

28.
Vanessa has a ribbon that is 372 inches long. She wants to divide in into 4 equal parts. What will be the length of each part?
a)
156 inches
b)
36 inches
c)
83 inches
d)
93 inches
29.
Each grade level at Hooperville schools has 298 students. If there are 13 grade levels, how many students attend Hooperville Schools?
a)
3,784 students attend Hooperville Schools.
b)
7,748 students attend Hooperville Schools.
c)
894 students attend Hooperville Schools.
d)
3,084 students attend Hooperville Schools.
30.
Burger city will need to hire 648 new employees for all the restaurants it plans on opening next year.  If 24 employees are needed to run each restaurant, how many restaurants are being opened next year?
a)
24
b)
37
c)
30
d)
27
31.

At the greenhouse, they have a watering can on sale for $13.79. The watering can is normally priced at $15. How much would someone save if they buy it on sale?

a)

$1.21

b)

$28.79

c)

$13.64

d)

$13.94

32.

Diane goes to the store and buys 2 large bags of pretzels that are $2.85 each, a drink that is $1.86, and a pack of gum that is 60 cents. If she pays with a $10 bill, how much change should she receive?

a)

$8.16

b)

$67.56

c)

$1.84

d)

$57.56

33.

Frank worked 7 hours on Friday and 8 hours on Saturday. If he makes $9.23 each hour, how much did he make Friday and Saturday combined?

a)

$64.61

b)

$73.84

c)

$24.23

d)

$138.45

34.

Richard brought 2.48 pounds of almonds and 1.9 pounds of walnuts. How much more almonds does he have than walnuts?

a)

0.58

b)

4.38

c)

2.29

d)

2.67

35.
While making desserts for a bake sale, Lyla used 7/10 of a scoop of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Lyla use?
a)
1 1/2
b)
2/3
c)
1/5 
d)
3/4
36.
Pam walks 7/8 of a mile to school.  Paul walks 1/2 of a mile to school.  How much farther does Pam walk than Paul? 
a)
3/8
b)
4/5
c)
1 3/8
d)
3/4
37.
Carefully following a recipe, Ben used exactly 5/8 of a cup of oil and 3/4 of a cup of water. How many cups of liquid did Ben use in all?
a)
1/8
b)
2/3
c)
1 1/2
d)
1 3/8
38.
You give 1/3 of a pan of Brownies to Susan and 1/6 of the pan of brownies to Patrick.  How much of the pan of brownies did you give away?
a)
1/9
b)
1/6
c)
1/3
d)
1/2
39.

Savannah's backpack weighs 6 146\ \frac{1}{4}  pounds. Alberto's backpack weighs  5 345\ \frac{3}{4}  pounds. How much heavier is Savannah's backpack than Alberto's backpack?

a)

1 121\ \frac{1}{2}  

b)

11 3411\ \frac{3}{4}  

c)

12\frac{1}{2}  

d)

1 241\ \frac{2}{4}  

40.

A cell phone weighs 4 124\ \frac{1}{2}  oz and a calculator weighs  3 183\ \frac{1}{8}  oz.  What is the difference between the two weights?

a)

12\frac{1}{2}  ounce

b)

78\frac{7}{8}  ounce

c)

1 381\ \frac{3}{8}  ounces

d)

1 781\ \frac{7}{8}  ounces

41.

Benjamin had 2 132\ \frac{1}{3}  gallons of fruit punch left after a party. He had  1 341\ \frac{3}{4}  gallons of lemonade left. How many total gallons did he have left after the party?

a)

1 5121\ \frac{5}{12}  

b)

4 1124\ \frac{1}{12}  

c)

3 1123\ \frac{1}{12}  

d)

512\frac{5}{12}  

42.

Seven people want to share three pints of ice cream equally. How many pints of ice cream should each person get?

a)

1/7

b)

1/3

c)

3/7

d)

7/3

43.

1. Four students are sharing seven pints of milk equally. How much milk will each student get?

a)

4/7 pints

b)

1 3/4 pints

c)

3 pints

d)

11pints

44.

Eight people will share 5 pounds of rice. What is each person’s share, in pounds?

a)

3/4

b)

5/8

c)

8/5

d)

5/3

45.

Maria has a bag of fruit which contains 38 tangarines. She is going to share all of the fruit equally with Latina, Phoenix, and Lisa. How many tangarines will each girl get?

a)

between 7 and 8

b)

between 9 and 10

c)

between 10 and 11

d)

between 12 and 13

46.
What multiplication problem is being modeled in this picture?
a)
3/8 x 1/4
b)
1/8 x 3/4
c)
3/7 x 1/4
d)
1/7 x 3/4
47.
What is the answer to the model shown?
a)
1/16
b)
1/4
c)
7/16
d)
1/2
48.
Lori is baking cookies. Her recipe calls for 2/3 of a cup of milk.  Lori decides she wants to triple the recipe.  How much milk is needed?
a)
2/9
b)
4 ½
c)
1
d)
2
49.
Mrs. Colucci is having a taco party. She using 1/5 pound of beef for each taco. If she plans on making 24 tacos, how much beef will she need? (Simplify your answer if possible.)
a)
2 4/5 pound of beef
b)
4  4/5 pound of beef
c)
5  4/5 pound of beef
d)
5/24 pound of beef
50.

Mario and 3 friends each had 3/4 foot of rope. They needed to have 5 feet of rope altogether. Do they have enough?

a)

4 x 3/4 = 6, Yes-6 is greater than 5

b)

4 x 3/4 = 5, Yes-5 is what they need.

c)

4 x 3/4 = 3, No- 3 is less than 5.

d)

4 x 3/4 =7/4, No-7/4 is less than 5.

51.

Which statement CORRECTLY describes the product of 3×453\times\frac{4}{5}  

a)

The product of 3 × 453\ \times\ \frac{4}{5}  is less than 3 because 45\frac{4}{5}  is greater than 1.

b)

The product of 3 × 453\ \times\ \frac{4}{5}  is less than 3 because 45\frac{4}{5}  is less than 1.

c)

The product of 3 × 453\ \times\ \frac{4}{5}  is greater than 3 because 4 is larger than 3.

d)

The product of 3 × 453\ \times\ \frac{4}{5}   is greater than 3 because 5 is larger than 3.

52.

Three-fifths of the audience at a concert are girls. Six-eighths of the girls have brown hair. What fraction of the audience at the concert represents girls with brown hair?

a)

320\frac{3}{20}  

b)

920\frac{9}{20}  

c)

913\frac{9}{13}  

d)

2720\frac{27}{20}  

53.
Mr. Turner bought a packet of corn flakes for his kids. The packet of cornflake is 1/5 of a pound. He puts the cornflakes in two jars in equal amounts. What is the weight of each jar? 
a)
1/10
b)
1/6 
c)
10
54.
How many one-third cup servings are in 6 cups of pecans?
a)
18
b)
1/18
c)
3
55.
Which situation can be represented by 6 ÷ 1/3?
a)
Rita has a piece of ribbon that is 1/3 foot long. She cuts it into 6 pieces having the same length. How many feet long is each piece of ribbon?
b)
Rita has 6 pieces of ribbon. Each piece is 1/3 foot long. How many feet of ribbon does Rita have in all?
c)
Rita has a piece of ribbon that is 6 feet long. She cuts it into pieces that are 1/3 foot long. How many pieces of ribbon does Rita have?
d)
Rita has a piece of ribbon that is 6 feet long. She cuts it into 3 pieces. How many feet long is each piece of ribbon?
56.
7) Identify the equation using the model then solve the problem.
a)
2 ÷ 1/8 = 16
b)
1/8 ÷ 2 = 1/16
c)
2 ÷ 8 = 1/4
d)
8 ÷ 2 = 4
57.

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

58.

20 quarts = _____ gallons

a)

10 gallons

b)

80 gallons

c)

8 gallons

d)

5 gallons

59.

Jackson weighed 9 pounds when he was born. How many ounces is that?

a)

144 ounces

b)

90 ounces

c)

3/4 ounces

d)

112 ounces

60.

8 cups = _____ fluid ounces

a)

1

b)

16

c)

64

d)

164

61.

2 liters = _____ milliliters

a)

20

b)

200

c)

2,000

d)

20,000

62.

24,000 grams = _____ kilograms

a)

24

b)

240

c)

2,400

d)

240,000

63.

Donovan Bailey and Maurice Greene tie for the world record for the fastest 50 meter sprint. How many centimeters is this?

a)

500 centimeters

b)

5,000 centimeters

c)

50,000 centimeters

d)

500,000 centimeters

64.

The American Heart Association recommends you should not eat more than about 2,000 milligrams of sodium (salt) a day. How many grams is this?

a)

2 grams

b)

20 grams

c)

200 grams

d)

20,000 grams

65.

The line plot shows the length, in inches, of the beads Emoni can put on her bracelet. If Emoni puts all of these beads on her bracelet, what would be the total length of the beads?

a)
b)
c)
d)
66.

What is the total number of miles Johnny walked?

(a)  

67.

How many students read their library book this week?

a)

26

b)

25

c)

29

d)

27

68.

The line plot shows the length, in inches, of the beads Emoni can put on her bracelet. If Emoni puts all of these beads on her bracelet, what would be the total length of the beads? If she shares the beads with her 5 friends, how many inches would each friend get.

a)

1 23\frac{2}{3}

b)

2 35\frac{3}{5}

c)

2 34\frac{3}{4}

d)

1 35\frac{3}{5}

69.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
70.
What is the volume of this prism?
a)
6 cubic in
b)
12 cubic in
c)
24 cubic in
71.

Becky is making boxes to hold baseballs. She wants the dimensions to be 3 x 5 x 7 units. How many baseballs can the box hold?

a)

90

b)

105

c)

100

d)

70

72.

Tina counted the number of baseballs on one layer of a box, 34. The box has 8 layers. How many baseballs can the box hold?

a)

42

b)

272

c)

40

d)

242

73.
What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?
a)
15 cubic inches
b)
60 cubic inches
c)
30 cubic inches
d)
10 cubic inches
74.

What is the total volume of the figure?

a)

576

b)

98

c)

144

d)

324

75.

What is the total volume of the figure?

a)

12

b)

16

c)

32

d)

25

76.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
77.

Find the ordered pair for the vertex A on the polygon.

a)

(1,1)

b)

(1,3)

c)

(3,1)

d)

(5,3)

78.
What is the rule?
What numbers complete this table?
a)
+12
20 and 22
b)
x2
16 and 20
c)
x7
56 and 70
79.

There was snow Monday and Tuesday. Greyson measured the total amount of snow for the day each hour. Then he made a chart showing his data for each day and graphed it.


If the pattern continues, what ordered pair should be used to graph the amount of snow that fell Tuesday by the 5th hour?

a)

(2.5, 5)

b)

(5, 2)

c)

(5, 2.5)

d)

(5, 3)

80.

The teacher writes the following two patterns on the board:


Pattern X: Start at 0 and add 3.

Pattern Y: Start at 0 and add 6.


Which describes the relationship between the corresponding terms in the two patterns?

a)

The terms in Pattern X are 2 times the terms in Pattern Y.

b)

The terms in Pattern X are 3 times the terms in Pattern Y.

c)

The terms in Pattern Y are 2 times the terms in Pattern X.

d)

The terms in Pattern Y are 3 times the terms in Pattern X.

81.

On a grid, the first ordered pair is (3, 8). Using the rule “add 3 to each x-coordinate and add 8 to each y-coordinate,” what will be the difference of the two numbers in the 4 ordered pair?

a)

5

b)

10

c)

15

d)

20

82.
What shape is this?
a)
Quadrilateral
b)
Rectangle
c)
Square
d)
Rhombus
83.

A _______ is a quadrilateral with both pairs of opposite sides parallel and congruent

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

84.

What does it mean when figures are congruent?

a)

Same shape only

b)

Same size and shape

c)

Same shape and the lengths of the sides are the same

d)

Same amount of sides

85.

What quadrilaterals has 2 pairs of parallel lines; 4 sides have equal length; 4 right angles?

a)

rectangle

b)

rhombus

c)

square

86.

Name the quadrilateral that has two sets of parallel lines.

a)

Trapezoid

b)

Triangle

c)

Parallelogram

87.

The patio at my house is a quadrilateral with 4 right angles and 4 congruent sides. What type of quadrilateral is it?

a)

Trapezoid

b)

Square

c)

Pentagon

d)

Rectangle

88.
a)

acute

b)

obtuse

c)

right