For 7th

Grade Students entering 2017-2018 School Year

Dear Parents/Guardians,

This summer there will be a summer math packet for all students entering the 7 th grade

next year. Students should print out the entire packet and answer sheets. If you have any

issues printing the packet, please notify the school office and we will get you a hard copy.

This packet is designed to assist students to maintain their previously learned math

skills. Students should complete these packets over the course of the summer. The packets

have been designed to review topics that were taught to them this past school year and should

be reinforced to assist students in their upcoming math program. For optimal results, it is highly

recommended that they complete a portion of the packet each week rather than attempting to do

the packet all at once. This will ensure that skills are being reinforced weekly and that the

students do not become overwhelmed. This packet will count as the first test grade in your

child’s math class. It will be due on Tuesday, September 5, 2017. Students should show

all work for these problems and put all answers onto the answer sheets.

Thank you so much for your time and support. Have a wonderful and safe summer!

Sincerely,

Mrs. LaSpina 7th/8th Grade Math Teacher St. Gabriel School

Name 7th Grade Summer Math Answer Sheet

Decimal Operations on Order of Comparing and

Operations Fractions Operations Ordering Fractions

1. 1. 1. 1.

2. 2. 2. 2.

3. 3. 3. 3.

4. 4. 4. 4.

5. 5. 5. 5.

6. 6. 6. 6.

7. 7. 7. 7.

8. 8. 8. 8.

9. 9. 9. 9.

10. 10. 10. 10.

11. 11. 11. 11.

12. 12. 12. 12.

13. 13. 13. 13.

14. 14. 14. 14.

15. 15. 15. 15.

Number Theory Proportional Geometry Solving Equations

Reasoning

1. 1. 1. 1.

2. 2. 2. 2.

3. 3. 3. 3.

4. 4. 4. 4.

5. 5. 5. 5.

6. 6. 6. 6.

7. 7. 7. 7.

8. 8. 8. 8.

9. 9. 9. 9.

10. 10. 10. 10.

11. 11. 11. 11.

12. 12. 12. 12.

13. 13. 13. 13.

14. 14. 14. 14.

15. 15. 15. 15.

Name

Decimal Operations

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

1. 8.9 + 2.4 2. 12.7 – 9.6

3. 18.35 – 9.6 4. 7.21 + 11.6

5. 0.975 + 3.8 6. 20.66 – 9.1

7. 0.5 × 0.7 8. 0.3 × 0.06

9. 6.12 × 5.9 10. 0.84 ÷ 6

11. 11.07 ÷ 9 12. 27.6 ÷ 12

13. 4.5 ÷ 0.9

14. Allen bought a box of envelopes for $2.79 and a pack of paper for $4.50. He paid

with a $10 bill. How much change should he receive?

15. Jocelyn has 3.5 yards of ribbon. She needs 0.6 yards of ribbon to make one bow.

How many bows can Jocelyn make?

Name

Operations on Fraction

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

1. 18

2 2.

6

1 3. 3

2 4 24 7 3 7 5

4. 4

7 5. 1

2 6. 8

3 5 11 2 5 9 4

7. 5 5 8.

7

2 9. 3 1 2

3 6 8 3 4 4

7 3 10. 15 14

12 8

11. 4 4 2

1 5 10

12. A cookie recipe calls for 2

cup of brown sugar. Sarah is making 3

1 of the recipe.

4

How much brown sugar will she need?

13. Donald is making a party mix. He bought 2 1 4

pounds of pecans and 3 1 5

pounds

of walnuts. How many pounds of nuts did Donald buy in all?

14. The rope in the school gymnasium is 10 1 2

feet long. To make it easier to climb,

the gym teacher tied a knot in the rope every 3

foot. How many knots are in the rope? 4

15. Sarah is making a dessert that needs 4

cup of crushed cookies. If she has 5

already crushed 7

cup, how much more does she need? 10

Name

Order of Operations

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

Evaluate each expression.

1. 10 6 2 2. (15 39) 6

3. (20 15) 2 1 4. (42 6) 11

5. 9 (7 1) 2 6. (2 4) 8 (53)

7. 5 18 32 1 8. 8 5 10 12

9. 14 (50 72 ) 3

Add parentheses so that each equation is correct.

10. 7 9 3 1 25

11. 23 7 4 4

12. 5 6 9 3 23

13. 12 3 2 2

14. Tyler walked 2 miles a day for the first week of his exercise plan. Then he walked

3 miles a day for the next 9 days. How many miles did Tyler walk in all?

15. Paulo’s father bought 8 pizzas and 12 bottles of juice for the class party. Each

pizza cost $9 and each bottle of juice cost $2. Paulo’s father paid with a $100-bill.

How much change did he get back?

Name

Comparing and Ordering Fractions

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

14. David ran 4 1 4

farthest?

miles, Shane ran 4 1 2

miles, and Matt ran 4 5 8

miles. Who ran the

15. Darius and Anita both took the same test. Darius answered 5

of the questions 6

correctly, and Anita answered 6

correctly. Who got the higher score on the test? 7

Name

Number Theory

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, and 10.

1. 12,680 2. 1638 3. 735

4. List all the factors of 28.

5. Write the prime factorization of 72.

Find the GCF of each set of numbers.

6. 15 and 35 7. 27, 36, and 54

Write each decimal as a fraction or mixed number.

8. 0.31 9) 2.53

Write each fraction or mixed number as a decimal.

10. 5

11. 6 3

9 5

Order the fractions and decimals from least to greatest.

12.

0.3, 3

, 0.53 5

Find the missing numbers that make the fractions equivalent.

13. 4

?

14. 8

2

5 20 12 ?

15. Alice has 42 red beads and 24 white beads. What is the greatest number of

bracelets Alice can make if each bracelet has the same number of white beads and

every bead is used?

Name

Proportional Reasoning

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

Use the table to write each ratio

1. cooking books to poetry books 2. biography books to total books

Find the missing value in each proportion.

3. 5

n 4. 7

21

4 12 8 n

Write each percent as a fraction in simplest form.

5. 34% 6. 8%

Write each percent as a decimal.

7. 76% 8. 5%

Write each decimal as a percent.

9. 0.56 10. 0.092

11. To make 2 quarts of punch, Jenny adds 16 grams of juice mix to 2 quarts of water.

How much mix does Jenny need to make 3 quarts of punch?

12. The two triangles are similar. Find the missing length y and the measure of B .

13. A theater sold a total of 570 tickets for a new movie. Of those tickets, 30% were

children’s tickets. How many children’s tickets were sold?

14. Find 15% of 220.

15. Margo and her three friends went to dinner. The bill was $32.62. They left a tip

that was 15% of the bill. About how much was the tip?

Name

Geometry

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

Use the diagram to name each geometric figure to answer 1 – 4.

1) three points

2) two lines

3) a point shared by two lines

4) a plane

Find each unknown angle measure.

Classify each pair of lines.

Find the perimeter of each figure.

Find the unknown measure.

Name

Solving Equations

All work must be shown on this paper to receive full credit. Make sure to read

the directions for each section. Place your answers on the correct section of the

answer sheet.

1. a 2 7 2. 34 b 13

3. 21 z 9 4. 6 5 p

5. 5a 60 6. x 12

6

7. 144 12 f 8. x 1.4 7.82

9. 1 y

7 4 4

10.

14x 129.5

11. 1

y 27 3

12. 265.2 z 22.1

13.

x 53.8 1.2

14. 25 1

k 5

15. m 2

3 3 5