Free Printable round 2

1.

In the pet show $\frac{3}{8}$ of the pets are dogs. Of the dogs, $\frac{2}{3}$ have long hair. What fraction of the pets in the pet show are dogs with long hair?

(Put your answer in simplest form)

(a)

2.

On the first day of camp, $\frac{5}{6}$ of the skaters were beginners. Of the beginners, $\frac{1}{3}$ were girls. What fraction of the skaters were girls and beginners?

(Put your answer in simplest form.)

(a)

3.

A scientist had $\frac{3}{5}$ liter of solution. He used $\frac{1}{6}$ of the solution for an experiment. How much solution did the scientist use for the experiment?

(Put your answer in simplest form.)

(a)

4.

$\frac{7}{9}$ of the campers at a summer camp in the Berkshires were from Massachusetts. Of that group, $\frac{3}{5}$ were 12 years old. What fraction of campers were 12 year-olds from Massachusetts at the camp?

(Put your answer in simplest form.)

(a)

5.

Five cats each ate $\frac{1}{4}$ cup of canned food and $\frac{1}{4}$ cup of dry food. How much did they eat all together?

(Put your answer in simplest form.)

(a)

6.

Sara ran $\frac{5}{7}$ of the distance around the school track. Jason ran $\frac{4}{5}$ of Jason's distance. What fraction of the total distance around the track did Jason run?

(a)

7.

A group of students attend a math club. Half of the students are girls, and $\frac{4}{9}$ of the girls have brown eyes. What fraction of the group are brown-eyed girls?

(Put your answer in simplest form.)

(a)

8.

Maryanne read $\frac{5}{8}$ of a 168 page book. How many pages did she read?

(a)

9.

Juliana and two friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally, how much of the candy bar will each person get?

a)

5/8

b)

12/5

c)

2 2/5

d)

4/15

10.

How many ½ cup servings are in ⅓ cup of milk?

a)

⅙

b)

⅖

c)

⅔

d)

1½

11.

Ellen has ¾ cup of frosting to use for cupcakes. Each cupcake requires ⅛ cup of frosting. What is the maximum number of cupcakes Ellen can put frosting on?

a)

2

b)

4

c)

6

d)

10

12.

A bag of popcorn contains ¾ oz. How many 1/16 oz servings does this bag contain?

a)

4

b)

7

c)

12

d)

13

13.

Katie owns 2⅔ acres of land. She divided the land into ⅓ acre lots. How many lots did Katie have?

a)

6

b)

7

c)

8

d)

9

14.

Brian has ¾ hour to work on his math problems. It takes him ⅛ hour to finish one math problem. How many math problems can Brian finish during this time?

a)

8

b)

6

c)

4

d)

3

15.

Jenesia wants to split 8/15 of a bag of pumpkins seeds with Juliana. How much do they each get?

a)

1 1/15

b)

8/30

c)

4/15

d)

9/17

16.

Mitch has half his lasagna left over. He wants to eat leftovers for lunch for 4 days. What fraction of the whole lasagna will Mitch have for lunch everyday?

a)

1/6

b)

1/4

c)

4/6

d)

1/8

17.

The Jackson family owns a 1/2 acre of waterfront property. They plan to divide it into three smaller lots and sell them. What is the size, in acres, of each smaller lot?

a)

1/6 acre

b)

1/5 acre

c)

2/3 acre

d)

1 1/2 acres

18.

A school has $\frac{7}{10}$ of a gallon of paint. Each classroom needs $\frac{1}{14}$ of a gallon for a mural. How many classrooms can be painted with the available paint?

a)

9

b)

10

c)

11

d)

49

19.

Molly has 10 feet of ribbon. She is making ornaments. Each ornament uses 1/5 foot of ribbon. How many ornaments can Molly make?

a)

15

b)

50

c)

2

d)

1/2

20.

Ellen has ¾ cup of frosting to use for cupcakes. Each cupcake requires ⅛ cup of frosting. What is the maximum number of cupcakes Ellen can put frosting on?

a)

2

b)

4

c)

6

d)

10

21.

A farmer has 5 fields, and each field has 9 apple trees. How many apple trees does the farmer have in total?

a)

36

b)

45

c)

54

d)

63

22.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

23.

A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?

a)

13 ft

b)

20.75 ft

c)

24.75 ft

d)

22 ft

24.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

2.5 cups milk

b)

1.75 cups milk

c)

2 cups flour

d)

2.25 cups milk

25.

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480

b)

1960

c)

84

d)

25

26.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

27.

Solve.

a)

3

b)

15

c)

20

d)

10

28.

if there are 5 boys for every 7 girls in math class, how many boys are there if there are 35 girls?

a)

20

b)

25

c)

30

d)

35

29.

11. Nick walked ¾ of a mile in 12

minutes. How long would it take

him to walk three miles at this

pace?

a)

18 minutes

b)

75 minutes

c)

48 minutes

d)

58 minutes

30.

12. A brownie recipe calls for 3 eggs

for 18 brownies. How many eggs

would be needed to make four

dozen brownies?

a)

19 Eggs

b)

24 Eggs

c)

18 Eggs

d)

8 Eggs

31.

13. The Phillips family is slowly filling

their pool. It takes 2 hours for 60

gallons of water to be pumped

into the pool. How many gallons

would be pumped in after 3

days?

a)

2160 Gallons

b)

4320 Gallons

c)

3476 Gallons

d)

8912 Gallons

32.

14. Margo read forty-two pages in

2.5 hours. Pete read six fewer

pages in the same amount of

time. How long would it take Pete

to read 80 pages

a)

.46 Hours

b)

46 Hours

c)

5.6 Hours

d)

4.6 Hours

33.

15. The ratio of green to yellow

candies is 2:5. If there are 32

green candies, how many green

and yellow candies are there

altogether?

a)

112 Candies

b)

160 candies

c)

80 Candies

d)

16 Candies

34.

16. Allison can sew three scarves in 75

minutes. How many scarves can

she sew in four hours?

a)

9

b)

12

c)

20

d)

75

35.

Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours?

a)

9 miles

b)

4 miles

c)

6 miles

d)

36 miles

36.

There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?

a)

8

b)

15

c)

40

d)

29

37.

iTunes sells 9 songs for $8.85. Claire wants to buy Bruno Mars’ new album which cost $14.75. How many songs are on Bruno Mars’ new album?

a)

13 songs

b)

15 songs

c)

5 songs

d)

20 songs

38.

A car travels 420 miles in 8 hours. If the car continues at the same rate, how far will it travel in 12 hours?

a)

540 hours

b)

630 hours

c)

600 miles

d)

630 miles

39.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)

15 pizzas

b)

252 sticks

c)

18 sticks

d)

18 pizzas

40.

a)

4

b)

8

c)

14

d)

10

41.

a)

x = 40

b)

x = 10

c)

x = 4

d)

x = 5

42.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

43.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

44.

Just For Feet has 3,115 boxes of shoes on 38 equal size shelves. If they plan on adding 9 more shelves of the same size, how many more boxes of shoes will they be able to hold?

a)

737 shoes

b)

737 shelves

c)

738 shoes

d)

738 shelves

45.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

46.

Find the Unit Rate.
405 rotations in 5 minutes

a)

81 rotations per minute

b)

73 rotations per minute

c)

18 rotations per minute

d)

810 rotations in 10 minutes

47.

Find the Unit Rate.
72 ounces for 12 servings

a)

7 ounces per serving

b)

144 ounces for 24 servings

c)

6 ounces per serving

d)

36 ounces for 6 servings

48.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

49.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

50.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

51.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

52.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

53.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

54.

What makes a graph proportional?

a)

Linear

b)

The line is only in quadrant 1

c)

Curvy line

d)

Straight line and the line goes through the origin

55.

What does a proportional relationship look like on a graph?

a)

A straight line that passes through the origin, (0,0).

b)

A line that does not pass through the origin , (0,0).

56.

Identify whether the graph represents a proportional or non-proportional relationship.

a)

Proportional Relationship

b)

Non-Proportional Relationship

57.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

58.

Which equation matches the graph?

a)

y = 8x

b)

y = 1x

c)

y = 3x

d)

y = 16x

59.

The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of grapes, x?

a)

6.09

b)

20.36

c)

8.12

d)

28.36

60.

A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute. What is the number of boxes it packs per minute?

a)

1/3

b)

3/4

c)

7/6

d)

4/3

61.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

62.

What is the scale factor?

a)

3

b)

18/6

c)

1/3

63.

These figures are similar. Solve for x.

a)

3

b)

5

c)

4

d)

2

64.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

65.

Jonathan drew a scale drawing of a house. The scale of the drawing was 1 millimeter : 2 meters. If the actual width of the garage is 8 meters, how wide is the garage in the drawing?

a)

4 mm

b)

16 mm

66.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?

a)

87 km

b)

216 km

c)

33 km

d)

192 km

67.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

68.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

a)

9ft x 10ft

b)

1ft x 2ft

c)

12ft x 6ft

d)

18ft x 20ft

69.

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

a)

300 miles

b)

1000 miles

c)

900 miles

d)

600 miles

70.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

71.

a)

0.25

b)

0.5

c)

2

d)

1/2

72.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

73.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

74.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

75.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

76.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

77.

What is the scale factor from MNOP to ABCD?

a)

2/3

b)

1/2

c)

3/2

d)

2

78.

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

a)

300

b)

4.8

c)

3

d)

4

79.

sf = 0.25

a)

Reduction

b)

Enlargement

80.

sf = 6/5

a)

Reduction

b)

Enlargement

81.

sf = 2

a)

Reduction

b)

Enlargement

82.

sf = 4/5

a)

Reduction

b)

Enlargement

83.

If the scale factor is equal to 1, the copy is ________ the original.

a)

the same as

b)

smaller than

c)

bigger than

84.

Sides that are in the same position are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

85.

Scale Factor of ½ is __________________ .

a)

Reduction

b)

Enlargement

86.

Scale Factor of 5 is _________________ .

a)

Reduction

b)

Enlargement

87.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

88.

If the scale factor is 4, what is the measurement of x?

a)

20 m

b)

24 m

c)

16 m

d)

4 m

89.

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

a)

12 feet

b)

16 feet

c)

10 feet

d)

4 feet

90.

Which figure is scale copy of the original figure?

a)

A

b)

B

c)

C

d)

D

91.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

92.

what is the scale factor?

a)

1

b)

3

c)

1/3

d)

8

93.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

94.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

95.

Triangle F is the original drawing. Which triangle is a copy with a scale factor of 1/3?

a)

B

b)

G

c)

H

96.

_{Line AB corresponds with what line?}

a)

XZ

b)

XY

c)

YZ

d)

YX

97.

If the original lengths are multiplied by 2, what are the new coordinates?

a)

(0, 0), (12, 18), (12, 0)

b)

(0, 0), (18, 12), (12, 0)

c)

(0, 0), (12, 18), (0, 12)

d)

(0, 0), (18, 12), (0, 12)

98.

Frank and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driver in x days?

a)

b)

c)

d)

99.

Which equation best represents the relationship between x and y in the graph? (7.7A)

a)

y = 2x + 4

b)

y = 2x - 2

c)

y = 1/2x + 4

d)

y = 1/2x - 4

100.

The art class is planning to paint a mural on an outside wall. This figure is a scale drawing of the wall. If the width of the scale drawing is 28 inches, what is the width of the actual drawing?

a)

48 ft

b)

42 ft

c)

36 ft

d)

56 ft

101.

The art class is planning to paint a mural on an outside wall. This figure is a scale drawing of the wall. If the height of the scale drawing is 11 inches, what is the height of the actual drawing?

a)

7.5 ft

b)

13.5 ft

c)

14.75 ft

d)

16.5 ft

102.

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles?

Choose the correct proportion.

a)

$\frac{1\ cm}{13\ miles}=\frac{x\ cm}{104\ miles}$

b)

$\frac{1\ cm}{104\ miles}=\frac{x\ cm}{13\ miles}$

c)

$\frac{104\ miles}{13\ miles}=\frac{1\ cm}{x\ cm}$

d)

$\frac{13\ miles}{1\ cm}=\frac{x\ cm}{104\ miles}$

103.

A scale model of a whale is being built. The actual length of the whale is 65 feet. The scale of the model is 2 in : 3 ft. What will be the length of the model?

a)

97.5 inches

b)

30.6 inches

c)

41.56 inches

d)

43.33 inches

104.

A photo has dimensions 12 x 6. Bob wants to get an enlargement that has scale factor 3. What are the dimensions of the new photo?

a)

36 x 18

b)

15 x 9

c)

18 x 9

d)

4 x 2

105.

Rashed has enlarged a shape. What will his new width measure if he has enlarged by a scale factor of 6 cm?

a)

48 cm

b)

32 cm

c)

24 cm

d)

40 cm

106.

Jane has enlarged this rectangle by a scale factor of 4. What will the enlarged length measure?

a)

3 cm

b)

8 cm

c)

7 cm

d)

6.5 cm

107.

My shape has a length of 7 cm and a width of 9 cm. I enlarge my shape by a scale factor of 5. What are my new measurements?

a)

Length 21 cm and width 27 cm

b)

Length 35 cm and width 18 cm

c)

Length 21.5 cm and width 32cm

d)

Length 35 cm and width 45 cm

108.

Which of the following are scaled copies of the original portrait? Select ALL that apply.

a)

A

b)

B

c)

C

d)

D

e)

E

109.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

110.

Angles in scaled copies do NOT change.

a)

True

b)

False

111.

What is the scale factor from MNOP to ABCD?

a)

2/3

b)

1/2

c)

3/2

d)

2

112.

Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?

a)

10 in²

b)

25 in²

c)

100 in²

d)

484 in²

113.

Jamie made a scale drawing of his apartment building. The building is 300 ft tall. He wants his scale to be 1 inch : 10 ft. How tall should his building be in his scale drawing?

a)

25 inches

b)

60 inches

c)

1/30 inch

d)

30 inches

114.

A flagpole uses a scale of 1 inch = 12 feet.

If the pole measures 12 inches, how tall is the actual pole?

a)

1 foot

b)

132 feet

c)

144 feet

d)

121 feet

115.

If a copy has a scale factor of 1/2 it is

a)

bigger

b)

smaller

c)

the same size

116.

If a copy has a scale factor of 6 then it is

a)

bigger

b)

smaller

c)

the same size

117.

what is the scale factor?

a)

1

b)

3

c)

1/3

d)

8

118.

What is the scale factor?

a)

1

b)

2

c)

1/2

d)

-2

119.

what is the length of x?

a)

9mm

b)

4mm

c)

4/9mm

d)

36mm

120.

what is the length of x?

a)

41

b)

60

c)

1

d)

20

121.

what is the length of x?

a)

5

b)

4

c)

20

d)

8

122.

$\ 8\times\frac{1}{4}?$

a)

8

b)

4

c)

2

d)

1

123.

$\ 4\times\frac{3}{2}?\ \ \$

a)

6

b)

3

c)

12

d)

1

124.

A photo has dimensions 12 x 6. Bob wants to get an enlargement that has scale factor 3. What are the dimensions of the new photo?

a)

36 x 18

b)

15 x 9

c)

18 x 9

d)

4 x 2

125.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

126.

Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.

a)

BC

b)

AE

c)

CD

d)

DE

127.

Line CB corresponds with what line?

a)

SR

b)

PQ

c)

SP

d)

RQ

128.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

129.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

130.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

131.

Which angle corresponds with angle H?

a)

F

b)

L

c)

E

d)

O

132.

Solve the proportion.
____ = ____

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

133.

Solve for x

a)

x = 19.6

b)

x = 5/98

c)

x = 101/5

134.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

135.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

136.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

137.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

138.

what is the length of x?

a)

5

b)

4

c)

20

d)

8

139.

what is the length of x?

a)

41

b)

60

c)

1

d)

20

140.

what is the length of x?

a)

9mm

b)

4mm

c)

4/9mm

d)

36mm

141.

What is the scale factor?

a)

1

b)

2

c)

1/2

d)

-2

142.

If a copy has a scale factor of 6 then it is

a)

bigger

b)

smaller

c)

the same size

143.

If a copy has a scale factor of 1/2 it is

a)

bigger

b)

smaller

c)

the same size

144.

Sara enlarged her shape by a scale factor of 4. What is the new width measurement of her shape?

a)

71 cm

b)

32 cm

c)

16 cm

d)

24 cm

145.

Wajeed reduced his shape by a scale factor of 6. What is his new length measurement?

a)

5 cm

b)

4 cm

c)

3 cm

d)

2.5 cm

146.

What is the constant of proportionality?

a)

9

b)

7

c)

7/9

d)

9/7

round 2

Total questions: 146

Worksheet time: 8hrs 31mins

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