Student Name:___________________________ Math Teacher:_____________

Date:______________________ Period:_____

GRADE 7

FCAT Saturday Workshop

Packet 1: ANSWERS

Fractions, Decimals, & Percents

Proportions & Similarity

Equivalent Fractions (A) AnswersInstructions: Find the missing numbers in the equivalent fractions below.

2 8 5 15 1 4 4 12— = — — = — — = — — = —5 20 7 21 8 32 12 36

4 × 3 × 4 × 3 ×

8 32 3 12 1 2 1 2— = — — = — — = — — = —10 40 10 40 9 18 4 8

4 × 4 × 2 × 2 ×

1 4 4 16 5 20 5 20— = — — = — — = — — = —2 8 6 24 10 40 6 24

4 × 4 × 4 × 4 ×

1 2 5 15 1 3 4 12— = — — = — — = — — = —4 8 8 24 7 21 9 27

2 × 3 × 3 × 3 ×

1 4 1 5 3 12 1 3— = — — = — — = — — = —6 24 3 15 7 28 3 9

4 × 5 × 4 × 3 ×

7 35 1 2 2 8 2 10— = — — = — — = — — = —12 60 5 10 9 36 4 20

5 × 2 × 4 × 5 ×

Math-Drills.Com

Dividing Fractions (A) AnswersFind the value of each expression in lowest terms.

1.65÷ 4

3=

910

2.27÷ 11

10=

2077

3.14÷ 13

9=

952

4.169÷ 20

9=

45

5.29÷ 18

7=

781

6.23÷ 15

7=

1445

7.43÷ 9

5=

2027

8.98÷ 7

2=

928

9.54÷ 19

10=

2538

10.194÷ 19

3=

34

11.87÷ 13

8=

6491

12.95÷ 20

3=

27100

Math-Drills.com

Adding Fractions (A) AnswersFind the value of each expression in lowest terms.

1.34+

116

=1316

2.3

14+

13

=2342

3.9

11+

111

=1011

4.13+

217

=2351

5.25+

110

=12

6.119

+12

=2138

7.619

+23

=5657

8.13+

16

=12

9.14+

12

=34

10.12+

316

=1116

11.211

+12

=1522

12.411

+38

=6588

Math-Drills.com

Subtracting Fractions (A) AnswersFind the value of each expression in lowest terms.

1.3

10− 3

20=

320

2.1819

− 1619

=219

3.1217

− 317

=917

4.9

10− 2

5=

12

5.511

− 311

=211

6.12− 5

16=

316

7.1116

− 14

=716

8.1315

− 13

=815

9.12− 1

8=

38

10.12− 1

20=

920

11.89− 8

9= 0

12.1720

− 45

=120

Math-Drills.com

Converting Common Fractions to Decimals (A) AnswersInstructions: Write the decimal equivalent beside each fraction.

2= 0.4

7= 0.7

3= 0.75— — —

5 10 4

9= 0.45

11= 0.55

2= 0.4— — —

20 20 5

3= 0.3

9= 0.9

3= 0.6— — —

10 10 5

4= 0.8

19= 0.95

13= 0.65— — —

5 20 20

13= 0.65

3= 0.6

1= 0.25— — —

20 5 4

1= 0.5

3= 0.15

13= 0.65— — —

2 20 20

3= 0.75

1= 0.25

3= 0.6— — —

4 4 5

MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM MATH-DRILLS.COM

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Period____Date________________Proportions

State if each pair of ratios forms a proportion.

1)

4

2 and

20

6

No

2)

3

2 and

18

8

No

3)

4

3 and

16

12

Yes

4)

4

3 and

8

6

Yes

5)

12

24 and

3

4

No

6)

6

9 and

2

3

Yes

Solve each proportion.

7)

10

k =

8

4

{5}

8)

m

10 =

10

3

{33.33}

9)

2

x =

7

9

{2.57}

10)

3

x =

7

10

{4.28}

-1-

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11)

4

9 =

2

x

{4.5}

12)

6

a =

3

8

{16}

13)

8

n

8 =

8

3

{2.66}

14)

7

9 =

a

5

{3.88}

15)

p

8 =

13

2

{52}

16)

3

13 =

v

3

{0.69}

17)

10

12 =

2

n

{2.4}

18)

11

10 =

r

11

{12.1}

19)

x

9 =

7

14

{4.5}

20)

a

10 =

11

14

{7.85}

21)

v

12 =

10

2

{60}

22)

6

14 =

5

n

{11.66}

-2-

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Period____Date________________Proportion Word Problems

Answer each question and round your answer to the nearest whole number.

1) If you can buy one can of pineapple chunks

for $2 then how many can you buy with

$10?

5

2) One jar of crushed ginger costs $2. How

many jars can you buy for $4?

2

3) One cantaloupe costs $2. How many

cantaloupes can you buy for $6?

3

4) One package of blueberries costs $3. How

many packages of blueberries can you buy

for $9?

3

5) Shawna reduced the size of a rectangle to a

height of 2 in. What is the new width if it

was originally 24 in wide and 12 in tall?

4 in

6) Ming was planning a trip to Western Samoa.

Before going, she did some research and

learned that the exchange rate is 6 Tala for$2. How many Tala would she get if she

exchanged $6?

18 Tala

7) Jasmine bought 32 kiwi fruit for $16. Howmany kiwi can Lisa buy if she has $4?

8

8) If you can buy four bulbs of elephant garlicfor $8 then how many can you buy with

$32?

16

9) One bunch of seedlees black grapes costs$2. How many bunches can you buy for

$20?

10

10) The money used in Jordan is called theDinar. The exchange rate is $3 to 2 Dinars.

Find how many dollars you would receive if

you exchanged 22 Dinars.

$33

-1-

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11) Gabriella bought three cantaloupes for $7.

How many cantaloupes can Shayna buy ifshe has $21?

9

12) Jenny was planning a trip to the United Arab

Emirates. Before going, she did someresearch and learned that the exchange rate

is 4 Dirhams for every $1. How many

Dirhams would she get if she exchanged $5?

20 Dirhams

13) Castel bought four bunches of fennel for $9.

How many bunches of fennel can Mofor buy

if he has $18?

8

14) If you can buy one fruit basket for $30 then

how many can you buy with $60?

2

Answer each question. Round your answer to the nearest tenth. Round dollar amounts to the nearest

cent.

15) Asanji took a trip to Mexico. Upon leaving

he decided to convert all of his Pesos back

into dollars. How many dollars did hereceive if he exchanged 42.7 Pesos at a rate

of $5.30 = 11.1 Pesos?

$20.39

16) The currency in Argentina is the Peso. The

exchange rate is approximately $3 = 1 Peso.

At this rate, how many Pesos would you getif you exchanged $121.10?

40.4 Pesos

17) Mary reduced the size of a painting to awidth of 3.3 in. What is the new height if it

was originally 32.5 in tall and 42.9 in wide?

2.5 in

18) Molly bought two heads of cabbage for$1.80. How many heads of cabbage can

Willie buy if he has $28.80?

32

-2-

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Period____Date________________Similar Figures

Each pair of figures is similar. Find the missing side.

1)

20

12

x

3

5

2) x

1

9

3

3

3) 4

x

168

2

4)

4

5

8

x

10

5)

x

14

1

2

7

6) 6

9

24

x

36

7)

10

9

x

99

110

8)

10

10

100

x

100

-1-

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9)

48

x

6

5

40

10)

2216

11x

8

11)

x

20

3

2

30

12)

x

12

6060

12

13)

14

1014

3

56

40

56

x

12

14) 90

x

126

36

10

7

14

4

63

15)

84 x

84

12 11

12

77

16)

x

10

9

30

60

54

5

-2-

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17)

13

x

13

9

130

90

130

90

9

18)

12

8x

3

23

12

19)

52

x

44

13

4

11

16

20)

x

40

56

40

7

5

7

5

56

21)

11

4

7

7

x

52

91

91

143

22)

1

x

1

14

8

112

8

112

14

23)

13

3

13

3

117

27

117

x

27

24)

91

21

84

28

x

3

12

4

13

-3-

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Period____Date________________Similar Figure Word Problems

Answer each question and round your answer to the nearest whole number.

1) A 6 ft tall tent standing next to a cardboard

box casts a 9 ft shadow. If the cardboard

box casts a shadow that is 6 ft long then how

tall is it?

4 ft

2) A telephone booth that is 8 ft tall casts a

shadow that is 4 ft long. Find the height of a

lawn ornament that casts a 2 ft shadow.

4 ft

3) A map has a scale of 3 cm : 18 km. If

Riverside and Smithville are 54 km apart

then they are how far apart on the map?

9 cm

4) Find the distance between Riverside and

Milton if they are 12 cm apart on a map with

a scale of 4 cm : 21 km.

63 km

5) A model house is 12 cm wide. If it was built

with a scale of 3 cm : 4 m then how wide is

the real house?

16 m

6) Oak Grove and Salem are 87 mi from each

other. How far apart would the cities be on

a map that has a scale of 5 in : 29 mi?

15 in

7) A map has a scale of 2 in : 6 mi. If Clayton

and Centerville are 10 in apart on the map

then how far apart are the real cities?

30 mi

8) A statue that is 12 ft tall casts a shadow that

is 15 ft long. Find the length of the shadow

that a 8 ft cardboard box casts.

10 ft

Answer each question and round your answer to the nearest tenth.

9) A model house has a scale of 1 in : 2 ft. If

the real house is 26 ft wide then how wide is

the model house?

13 in

10) A 6.5 ft tall car standing next to an adult

elephant casts a 33.2 ft shadow. If the adult

elephant casts a shadow that is 51.5 ft long

then how tall is it?

10.1 ft

11) If a 42.9 ft tall flagpole casts a 253.1 ft long

shadow then how long is the shadow that a

6.2 ft tall woman casts?

36.6 ft

12) Georgetown and Franklin are 9.7 in apart on

a map that has a scale of 1.1 in : 15 mi.

How far apart are the real cities?

132.3 mi

Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com

ID: A

1

MA.7.A.1.2 FORM AAnswer Section

MULTIPLE CHOICE

1. ANS: B PTS: 1 DIF: Moderate REF: Cs2: 6-3C, 6-3DSTA: MA.7.A.1.2

2. ANS: D PTS: 1 DIF: Moderate REF: Cs2: 6-3A, 6-3BSTA: MA.7.A.1.2

3. ANS: D PTS: 1 DIF: Moderate REF: Cs2: 6-3ESTA: MA.7.A.1.2

4. ANS: A PTS: 1 DIF: Moderate STA: MA.7.A.1.2NOT: World Almanac and Book of Facts 2008 p. 147

5. ANS: D PTS: 1 DIF: Moderate STA: MA.7.A.1.2NOT: World Almanac and Book of Facts 2008 p. 147

ID: A

1

MA.7.A.1.3 FORM AAnswer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 DIF: Moderate STA: MA.7.A.1.3 2. ANS: C PTS: 1 DIF: Moderate REF: Cs2: 4-3A

STA: MA.7.A.1.3 3. ANS: B PTS: 1 DIF: Moderate REF: Cs2: 4-3A

STA: MA.7.A.1.3 4. ANS: A PTS: 1 DIF: Moderate STA: MA.7.A.1.3 5. ANS: C PTS: 1 DIF: Moderate STA: MA.7.A.1.3

ID: A

1

MA.7.A.1.5 FORM AAnswer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 DIF: Moderate REF: Cs2: 5-3D, 5-3ESTA: MA.7.A.1.5

2. ANS: B PTS: 1 DIF: Moderate REF: Cs2: 5-3D, 5-3ESTA: MA.7.A.1.5

3. ANS: B PTS: 1 DIF: Moderate REF: Cs2: 5-3D, 5-3ESTA: MA.7.A.1.5

4. ANS: C PTS: 1 DIF: Moderate REF: Cs2: 5-3B, 5-3CSTA: MA.7.A.1.5

5. ANS: D PTS: 1 DIF: Moderate REF: Cs2: 5-3B, 5-3CSTA: MA.7.A.1.5

Wylie’s Warm Ups 7th Grade

MA.7.A.1.2 MA.7.A.1.3 MA.7.A.1.4 MA.7.A.1.5