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2021 6th Grade Math Fall Benchmark Review

Total questions: 26

Worksheet time: 2hrs 10mins

Name
Class
Date
1.

(6.7A) What is the value of the expression? (8+3)2+10(4)\left(-8+3\right)^2+10\cdot\left(-4\right)  



(a)  

2.

(6.7A) Prime Factorization of 80

a)

10(2+6)10\cdot\left(2+6\right)

b)

2452^4\cdot5

c)

(525)4\left(5^2-5\right)\cdot4

d)

2582\cdot5\cdot8

3.

(6.7B) Leonardo charges $9 an hour

for horse-riding lessons and pays

$12 to the owner of the horse per day.

Which expression represents the

amount Leonardo earns in one day?

a)

9x129x-12

b)

912x9-12x

c)

9x+129x+12

d)

9+12x9+12x

4.

(6.7D) What expression is equivalent to the following expression? 7(4x+3)7(-4x+3)  




(a)  

5.

(6.9A) Nicholas is arranging chairs in the school auditorium. He puts 13 chairs in each row. There are 234 total chairs. Which equation can be used to find r, the number of rows of chairs Nicholas should put in the auditorium?

a)

13r=23413r=234

b)

r+13=234r+13=234

c)

x13=234\frac{x}{13}=234

d)

r13=234r–13=234

6.

(6.9B) The difference of a number, x, and -3 is 4. Which number line graph best represents the value of x?

a)
b)
c)
d)
7.

 (6.9C) Which situation is represented by the inequality shown below? 14x=6014x=60 

a)

The area of a rectangle is 60 square units. The length of the rectangle is 14 units. What is x, the width of the rectangle in units? 

b)

The perimeter of a rectangle is 60 units. The length of the rectangle is 14 units. What is x, the width of the rectangle in units?  

c)

 The length of a rectangle is 60 units and the width of is 14 units. What is x, the area of the rectangle in square units?  

d)

A rectangle has a length of 60 units and a width of 14 units. What is x, the perimeter of the rectangle?

8.

(6.10A) The model below represents 5x = 8. What is the value of x in the equation 5x = 8?

(a)  

9.

(6.10B) Mr. Darcy purchased one dozen red roses. He pays $2.50 per red rose. He uses the equation below to determine the cost of the roses. 

 c12=2.50\frac{c}{12}=2.50  

What value represents the cost of Mr. Darcy’s purchase?





(a)  

10.

(6.2D) Which lists the numbers in ascending order?

a)

 13, 0.3, 25%, 25\frac{1}{3},\ 0.3,\ 25\%,\ \frac{2}{5}  

b)

 13, 25, 0.3, 25%\frac{1}{3},\ \frac{2}{5},\ 0.3,\ 25\%  

c)

 25%, 0.3, 13, 2525\%,\ 0.3,\ \frac{1}{3},\ \frac{2}{5}  

d)

 0.3, 13, 25, 25%0.3,\ \frac{1}{3},\ \frac{2}{5},\ 25\%  

11.

(6.4E) Mr. Jackson divided a piece of paper into equal sections, as shown below. He used the shaded sections for an art project. What percent of the piece of paper does Mr. Jackson have left over?

a)

75%

b)

25%

c)

9%

d)

3%

12.

(6.3E) Cindy is using ribbons to make decorations. Cindy has 37 1337\ \frac{1}{3}  yards of ribbon and is using the ribbon to make streamers. If each streamer uses  4 234\ \frac{2}{3}  yards of the ribbon, how many streamers can Cindy make?  

a)

7

b)

9

c)

8

d)

Not here

13.

(6.5B) Julian scored 85% on his last math test. If he missed 6 problems, how many total questions were on the test?

(a)  

14.

(6.2A) Which of the following numbers in the set below are classified as integers?  (8, 32, 3.75, 7)\left(8,\ -\frac{3}{2},\ 3.75,\ -7\right)  

a)

 8, 32, & 7 only8,\ -\frac{3}{2},\ \&\ -7\ only  

b)

 8 & 7 only8\ \&\ -7\ only  

c)

 32  & 7 only-\frac{3}{2}\ \ \&\ -7\ only  

d)

 32 & 3.75 only-\frac{3}{2}\ \&\ 3.75\ only  

15.

(6.2B) Kaleb bought a chocolate ice cream

cone. The ice cream’s temperature was

-18°F. What is the absolute value of the

temperature of Kaleb’s ice cream?

(a)  

16.

(6.2B) The deepest dive of a dolphin

was recorded at 300 meters. What

is the opposite of the

depth this dolphin dove?

(a)  

17.

(6.3A) Which expression is equivalent to 45÷27\frac{4}{5}\div\frac{2}{7}  ?

a)

 5427\frac{5}{4}\cdot\frac{2}{7}  

b)

 5472\frac{5}{4}\cdot\frac{7}{2}  

c)

 4527\frac{4}{5}\cdot\frac{2}{7}  

d)

 4572\frac{4}{5}\cdot\frac{7}{2}  

18.

(6.4F) Of the questions on a math test, one-half of the questions are word problems and 20% of the problems are about probability. What percent represents the questions that are NOT word problems or probability questions?

a)

20%

b)

30%

c)

40%

d)

60%

19.

(6.3C) Which number sentence is modeled on the number line?

a)

7 – 3 = 4

b)

3 + 4 = 7

c)

−4 + 7 = 3

d)

−4 + (−3) = −7

20.

(6.3D) Candace played a math game and had the five cards shown below. Her score was the sum of the numbers on these five cards. What was Candace’s score?

a)

3

b)

23

c)

-5

d)

5

21.

(6.7D) Which expression is equivalent to -2(x – 7)?

a)

-2x + 14

b)

-2 + x + -7

c)

-2x – 14

d)

-2x + 7

22.

(6.10A) The perimeter of a triangle is 38 inches. Two sides of the triangle measure 12 inches and 10 inches. What is the length of the third side of the triangle, in inches?

(a)  

23.

(6.2D) Which list shows the sports in order from most popular to least popular?

a)

Golf, Tennis, Football, Volleyball

b)

Tennis, Golf, Football, Volleyball

c)

Golf, Volleyball, Tennis, Football

d)

Tennis, Golf, Volleyball, Football

24.

(6.5B) Rodney has 5 black t-shirts, 8 red t-shirts, and 7 blue t-shirts. What percent of Rodney’s t-shirts are black?

a)

40%

b)

20%

c)

25%

d)

52%

25.

(6.3E) Sydney bought new shirts for $15.25 each. She also found a pair of pants for $32.95. She purchased 2 shirts and 3 pairs of pants. How much money did Sydney spend on the shirts and pants before tax?

(a)  

26.

(6.3D) What is the value of  c2d3\frac{c-2d}{3}  if c = -1 and d = 4?

(a)