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Worksheets

6th Grade Math

Total questions: 65

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

Ella has 10 balloons. Taylor has 14 balloons. Write the ratio of Ella's balloons to Taylor's balloons.

a)

7:5

b)

5:7

c)

3:5

d)

5:3

2.

If the number of red apples is doubled, what is the new ratio of red apples to green apples?

a)

14 red apples to 3 green apples

b)

8 red apples to 7 apples

c)

8 red apples to 3 green apples

d)

3 green apples to 8 red apples

3.

Which of the following options is a real life example of a ratio with a scale factor?

a)

12 noodles

b)

4 meatballs : 2 cups of sauce

c)

1 jar of sauce

d)

15 desserts

4.

Patrick has 4 black, 6 red, and 10 white toy cars. What is the ratio of red toy cars to all the toy cars? 

a)

3:5

b)

1:3

c)

3:11

d)

3:10

5.

The Northwestern huskies had a record of 50 wins and 90 losses.  What was the ratio of wins to losses?

a)

9:5

b)

5:9

c)

5:3

d)

3:5

6.

88 students for 4 classes
How many students per class if the number of students is doubled?

a)

44 students per class

b)

44 classes per student

c)

50 students per class

d)

50 classes per student

7.

If Justin can type 816 words in 8 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

8.

I paid $30.00 for 12 gallons of gasoline.
What was the price PER gallon?

a)

$0.80

b)

$18.00

c)

$2.50

d)

$1.80

9.

If there is a ratio of 6 dogs to 10 cats in a veterinary office, which of these would represent a part to whole relationship for this situation?

a)

6 to 10

b)

10 to 6

c)

6 to 16

d)

1 to 3

10.

A store sees 240 customers in 16 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

11.

What is 60% of 100?

a)

30

b)

32.6

c)

34.8

d)

60

12.

4% as a decimal:

a)

0.04

b)

0.4

c)

4

d)

40

13.

Write the decimal as a percent.
0.06

a)

0.06%

b)

0.6%

c)

6%

d)

60%

14.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth decided to double the recipe and used 6 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

3 cups milk

b)

2.5 cups milk

c)

3.5 cups milk

d)

4 cups milk

15.

If the rangers won 200 games and lost 120, what is the simplified ratio of wins to losses?

a)

20 to 12

b)

5 to 3

c)

12 to 20

d)

3 to 5

16.

The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 48 passes, how many did he complete?

a)

42 passes

b)

16 passes

c)

6 passes

d)

54 passes

17.

It takes Emma 18 minutes to type and spell check 14 pages of manuscript. If she increases her speed by a scale factor of 1.5, how long will it take her to type and spell check 77 pages?

a)

18 minutes

b)

66 minutes

c)

60 minutes

d)

1,386 minutes

18.

5 kilometers is equivalent to about 3.1 miles. If the distance is scaled by a factor of 4, about how many miles would 20 kilometers be?

a)

12.4 miles

b)

7.2 miles

c)

8.8 miles

d)

3.5 miles

19.

If a car travels 280 miles in 7 hours, how far will it travel in 24 hours?

a)

960 miles

b)

1,960 miles

c)

84 miles

d)

25 miles

20.

The dishwasher uses 48 gallons of water to wash 6 loads of dishes. How many gallons of water will the dishwasher use to wash 15 loads of dishes?

a)

120 gallons

b)

135 gallons

c)

130 gallons

d)

150 gallons

21.

The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2.5 inches, and the scale factor is 2, what is its width?

a)

21.5 inches

b)

7.5 inches

c)

0.7 inches

d)

9.5 inches

22.

A baseball player makes 8 hits in every 14 times at bat. At this rate, if he made 48 hits, how many times was he at bat?

a)

84 times at bat

b)

192 times at bat

c)

336 times at bat

d)

48 times at bat

23.

A can of lemonade comes with a measuring scoop. The directions call for mixing 8 scoops of mix for every 56 cups of water. How much water is needed to make the entire can of lemonade if there are 80 scoops in the mix?

a)

560 cups of water

b)

320 cups of water

c)

14 cups of water

d)

20 cups of water

24.

A label printer prints 14 labels in 3.4 seconds. How long will it take to print 112 pages of labels?

a)

58.40 seconds

b)

54.40 seconds

c)

62.40 seconds

d)

60.40 seconds

25.

If 14 sandwich rolls cost $3.36, how much will 58 rolls cost?

a)

$23.52

b)

$13.92

c)

$27.52

d)

$15.92

26.

Solve the proportion: \( \frac{2}{7} = \frac{c}{28} \)

a)

4

b)

8

c)

14

d)

10

27.

Solve for x

a)

x = 1/5

b)

x = 20

c)

x = 8

d)

x = 10

28.

Solve for x using a scale factor of 2 

a)

x = 30

b)

x = 22

c)

x = 2/11

d)

x = 40

29.

Solve for x with a scale factor of 2 

a)

x = 32

b)

x = 56

c)

x = 1/13

d)

x = 52

30.

Solve for x in the proportion:

\( \frac{x}{7} = \frac{10}{2} \)

a)

2

b)

9

c)

35

d)

7

31.

Solve for r in the proportion:

\( \frac{8}{r} = \frac{2}{8} \)

a)

4

b)

32

c)

2

d)

9

32.

Solve for x

a)

1

b)

4

c)

10

d)

5

33.
a)
1
b)
4
c)
2.5
d)
10
34.
a)
1
b)
25
c)
4
d)
100
35.
a)
1
b)
3
c)
9
d)
12
36.
a)
1
b)
2
c)
4
d)
8
37.

Solve the proportion with a scale factor of 2.

a)

84

b)

12

c)

4

d)

56

38.

Solve the proportion below with a scale factor of 2

a)

42

b)

14

c)

16

d)

48

39.

Solve the proportion with a scale factor of 2.

a)

30

b)

10

c)

20

d)

24

40.

Solve the proportion with a scale factor of 2.

a)

2

b)

6

c)

12

d)

10

41.

Scale factor is a ratio multiplied to a side to find its corresponding side in similar figures.

a)

multiplied

b)

divided

c)

added

d)

subtracted

42.

When you multiply by a scale factor of 2, it will result in ...

a)

a reduction.

b)

the same size.

c)

an enlargement.

d)

a different shape.

43.

When you multiply by a scale factor of 0.5, it will result in ...

a)

a reduction.

b)

the same size.

c)

an enlargement.

d)

a different shape.

44.

What is the slope if the scale factor is 2?

a)

1

b)

4

c)

14

d)

6

45.

What is the slope if the scale factor is 2?

a)

4/5

b)

5/1

c)

6

d)

11

46.

What is the slope if the scale factor is 2?

a)

4

b)

1

c)

2

d)

3

47.

What is the slope if the scale factor is 2?

a)

0.5

b)

-0.5

c)

10

d)

8

48.

What is the slope of the table if the y-values are scaled by a factor of 2?

a)

1/2

b)

8

c)

-12

d)

-8

49.

What is the slope if the scale factor is 2?

a)

4/3

b)

3

c)

-14

d)

-10

50.

Slope, when adjusted by a scale factor, is best described as_________________

a)

steepness of a line multiplied by a scale factor

b)

length of a line

c)

width of a line

d)

various aspect of mathematical equations

51.

What type of slope is present when a line is scaled by a factor of 2?

a)

negative

b)

steep

c)

undefined

d)

zero slope

52.

Find the slope of the line

a)

-3/4

b)

4/3

c)

3/4

d)

-4/3

53.

Find the slope of the line

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

54.

Find the slope after applying a scale factor of 2 to the line:

a)

4

b)

-4

c)

1

d)

-1

55.
Find the slope:
(-4, 3) and (-4, -7)
a)
5/4
b)
-10/8
c)
Zero
d)
Undefined
56.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
57.

What does this equation mean?

a)

It's the equation of a line

b)

It's the equation to find area of a cylinder

c)

It's the equation to find surface area of a rectangular prism

58.

Given y = 3x - 4, what is the SLOPE of this line?

a)

-4

b)

4

c)

3

d)

-3

59.

Given y = -4/3x + 6, What is the SLOPE of this line?

a)

4/3

b)

-4/3

c)

6

d)

-6

60.

Given y = 1/2 x, what is the slope?

a)

1/2

b)

0

c)

4

d)

x

61.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

62.

Four pounds of bananas cost $6.  What is the cost per pound of bananas?

a)

$24 per pound

b)

$1.50 per pound

c)

$1 per pound

d)

$6 per pound

63.

If a rectangle has a length of 10 units and a width of 5 units, what will be the new area if both dimensions are scaled by a factor of 3?

a)

300 square units

b)

450 square units

c)

90 square units

d)

150 square units

64.

A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. If the triangle is scaled by a factor of 2, what is the perimeter of the new triangle?

a)

30 cm

b)

18 cm

c)

36 cm

d)

24 cm

65.

Write the ordered pair that indicates the unit rate in terms

of minutes per lap.

a)

(3,1)

b)

(1,3)

c)

(1,1)

d)

(1,2)