1

Rising 6th grade Summer Math Packet

Add:

1. 7,469 + 8,374 2. 19,335 + 24, 281

3. 40,742 + 22,597 4. 102,369 + 60,320

Subtract, check your answer by adding:

5. 4,002 – 3,765 6. 58,005 – 1,098

Write the word form and tell the value of the underlined digit.

7. 9,000,009 8. 25,678

9. 17,874,000,000 10. 2,647,000

2

Find: 1. 5 + 3 2. 2 + 3 6 4 5 10 3. 3 - 5 4. 7 - 2 4 12 8 3

Find each product:

5. 44 6. 89 7. 67 x 23 x 11 x 57

Compare. Write >, <, or =.

8. 9,900 9,099 9. 300,300 303,000 Find each product.

10. 3 x 1 11. 6 x 1 12. 4 x 2 5 4 7 2 9 3

3

Find each product:

1. 451 2. 892 3. 655 x 10 x 18 x 98

Compare. Write >, <, or =.

4. 89,128 90,000 5. 22,009 22,090 Write two fractions that are equivalent to each of the following. 6. 2 7. 5 3 7 Write the word form and tell the value of each underlined digit. 8. 8.59 9. 7.003 10. 6.837 Problem Solving: 11. How many more species of fish are there than mammals when there are

19,000 mammals and 4,000 fish?

4

Find each product.

1. 3 of 16 2. 24 x 1 3. 4 of 28 4 8 7 Order the numbers from least to greatest. 4. 2, 1, 2, 1 5. 2, 1, 1, 5 3 4 5 3 7 10 3 6

Find the perimeter. 6. 7.

7 m 6 m 12 m

8.

8 ft.

10 ft.

5

Divide:

1. 4,328 ÷ 93 2. 678 ÷ 27 3. 980 ÷ 45 Write two fractions that are equivalent to each of the following.

4. 1 5. 3 2 4

Compare. Write >, <, or =.

6. 0.584 0.58 7. 5.2 5.20

Solve: 8. Nate has a $5 bill and a $10 bill. He spends $2.50 for a smoothie and $2 for

a muffin. How much money does he have left?

9. Paige takes riding lessons 5 days per week for 2 hours each day. Maggie takes guitar lessons twice a week for 2 ½ hours each day, and piano lessons three days per week for 1 hour each day. Which girl spends more hours on lessons? How many more hours?

10. Lonny planted 15 roses, 12 geraniums, and 6 daisies. His dog digs up 4 roses and 2 daisies. How many flowers are left planted?

6

Divide:

1. 12 1,455 2. 23 √3,189 3. 27 √2,264

Vocabulary:

Choose the best term from the box. denominator numerator least common multiple least common denominator

4. The number above the fraction bar is the . 5. The smallest common multiple of two numbers is called the . 6. The number below the fraction bar is the . 7. The smallest common multiple of two denominators is called the .

7

Find each sum or difference. Simplify, if possible. 1. + 2. - 3. + Find each sum or difference.

4. 9371 5. 14,506 6. 178,312

+ 6,059 - 8,759 - 140,987

Find each area.

7. 8. 8 m 20 ft 25 ft

9.

16 in.

20 in.

8

Round each number to the place of the underlined digit 1. 75.8 2. 0.758 3. 427,841 Compare. Write >, <, or =.

4. 0.07 0.08 5. 5.643 5.675

Solve: 7. A lecture hall has 479 desk chairs and 216 folding chairs. How many seats

are there in all? 8. Brad lives 10 times as far away from Dallas as Jennie. If Jennie lives 44

miles from Dallas, how many miles from Dallas does Brad live? 9. Dan helped his dad clean the garage and attic over the weekend. They took

eight 15-minute breaks. How many minutes did they spend on breaks? Find the distance between each pair of integers on a number line. 10. -3 and +5 11. -2 and +4 12. -7 and -1

9

Find each product. Simplify if possible.

1. x 6 2. 7 x 3. x Use a formula to find each area. 4. 5. 7 ft. 6 in. 8 in. Use A = s x s. Use A = l x w 6. 7. 5 ft. Use A = b x h 11 m Use A = ½ x b x h

3 ft.

8 m

m

10

Find the circumference of the circle. 1. Use C = π x d π = 3.14 Evaluate each expression for n = 5 and n = 2. 2. 3. 4.5 + n 4. n x 16 5. 36 - n 6. 7. 9n Find the quotient. 8. 720 ÷ 9 9. 3,200 ÷ 8 10. 30,000 ÷ 5

14 yd.

11

Find the product. 1. 0.07 2. 5.6 3. 6.98 x 0.09 x 0.08 x 3.8 4. 4.23 x 10 5. 0.365 x 100 6. 0.004 x 1,000 Solve: 7. The principal of Mountain Middle School has a big glass jar of marbles. The

empty jar weighs 40.5 ounces, and each of the 1,000 marbles weighs 1.25 ounces. Find the total weight in ounces of the marbles.

8. Mr. Dodd filled the gas tank on his lawn mower with 3.8 gallons of gas. If

he mowed his yard 10 times on the same tank of gas, how much gas did he use each time the lawn was mowed?

9. Lucia scored an 8.65 on her first gymnastics event at a meet. If she scores

the same score on each of four events, what will be her total score at the meet?

12

Vocabulary: Choose the best term from the box.

difference quotient product sum 1. The answer to a division problem is the . 2. The of 5 and 7 is 12. 3. To find the between 16 and 4 you subtract. 4. Multiplying is the same as finding the . Find each answer. 5. 32 ÷ 4 6. 35 x 100 7. 47 + 92 8. + 9. 3.4 - 2.7 10. $3.75 + $2.49 11. 8 - 1 12. 3 + 13. 692

x 414

13

Find the distance between each pair of integers on a number line. 1. -6, -4 2. +1, +5 3. -2, +7 4. +3, +4 5. -2, 0 6. -5, +5 Name the ordered pairs. Let x = 0, 2, and 4. 7. y = 6x 8. y = x + 3 9. y = x + 7 10. y = x – 0 11. y = 2x

14

Divide:

1. 59 √6,214 2. 19 4,657 3. 44 √7,894 Find each product. 4. x 35 5. x 18 6. 32 x 7. 12 x 8.  −     x 24 9.  −     x 30 Solve: 9. Josh volunteered at the zoo for 14 hours in one month. This was 3 times as

many hours as Gina volunteered. How many hours did Gina volunteer?

10. Brown bats sleep for 20 hours each day. How many hours per week are they awake? How many hours per year are they awake?

15

Vocabulary: Choose the best term from the box.

divisor quotient hundredths tenths 1. The number 2.45 has a four in the place and a five in

the place.

2. In 36 ÷ 9 = 4, the 4 is called the , and the 9 is

called the .

Evaluate each expression for n = 2. 3. 148 + n 4. (n + 6) ÷ 4 5. 6. 51 x n 7. (60 – n) x 5 8. 532 - n

16

Find the area of each parallelogram. 1. 2. 13 yd

9 ft 3. 4. 9 cm 2 in. Find the area of each triangle. 5. 6. 6 in. 5 in. 8 cm

7 ft. 5yd

4in 6 cm

9 cm

17

Compare the numbers. Use < or > for each . 1. 512 521 2. 0.379 0.38

3. 4. 2 2 Write the number for each point. 0 A B C D 14 5. A = 6. B = 7. C = 8. D = Graph and label each point on the grid. 9. H (2, 1) 10. F (4, -5) 11. G (-3, -4)

18

Find the distance between points named by each set of ordered pairs on the coordinate plane. 1. (4, -2), (4, 0) 2. (0, 1), (0, -5) 3. (3, -2), (3, -5) 4. (-1, 4), (-5, 4) Problem Solving In two different surveys, students were asked to name their favorite type of movie. The results are shown in the table below.

Favorite Type of Movie Survey of 50 Students Survey of 100 Students

Comedy 10 25

Animated 20 50

Adventure 20 25

5. In which survey did of the students pick comedy? 6. In which survey did or 50% of the students choose animated movies?

19

Find each sum. Simplify if necessary. 1. + 2. + 3. + 4. + 5. + 6. + 7. + +   8. + +

Solve. 9. Cindy added cup of water to cup of juice concentrate. How much juice

did Cindy make? 10. Mr. Perez is building a fence. He wants to bolt together 2 boards. One is

inches thick and the other is inches thick. What will be the total thickness of the 2 boards?

11. Ally bought 10 packages of string cheese. If each package costs $1.59, how

much did Ally spend?

20

Find each difference. Simplify if necessary. 1. - 2. - 3. - 4. - 5. - 6. - Find each elapsed time. 7. 3:00 a.m. to 11:24 a.m. 8. 3:46 p.m. to 8:59 p.m. 9. 2:12 p.m. to 6:23 p.m. 10. 6:39 a.m. to 9:14 a.m. Use the elapsed time to find the start time or the end time. 11. Start Time: 7:36 a.m. Elapsed Time: 3 h 10 min. 12. End Time: 7:55 p.m. Elapsed Time: 2 h 45 min. 13. Start Time: 1:45 p.m. Elapsed Time: 3 h 53 min. 14. End Time: 10:00 p.m. Elapsed Time: 1 h 47 min.

PAGE 1

1. 15,843

2. 43,616

3. 63,339

4. 162,689

5. 237 / 4002

6. 56,907 / 58,005

7. nine million, nine

9,000,000

8. twenty five thousand, six hundred seventy eight

5,000

9. seventeen billion, eight hundred seventy four million

10,000,000,000

10. two million, six hundred forty seven thousand

600,000

PAGE 2

1. 19/12 = 1 7/12

2. 7/10

3. 4/12 = 1/3

4. 5/24

5. 1012

6. 979

7. 3819

8. >

9. <

10. 3/20

11. 3/7

12. 8/27

PAGE 3

1. 4510

2. 16,056

3. 64,190

4. <

5. <

6. various, such as 4/6, 20/30

7. various, such as 10/14, 20/28

8. eight and fifty nine hundredths

.5

9. seven and 3 thousandths

.003

10. six and eight hundred thirty seven thousandths

.03

11. 19,000 – 4,000 = 15,000

PAGE 4

1. 12

2. 3

3. 16

4. change to

40/60 15/60 24/60 20/60

Least to greatest is:

1/4, 1/3, 2/5, 2/3

5. change to 3/30 10/30 25/30

Least to greatest is:

1/10, 1/3, 5/6

6. 38 m

7. 24 m

8. 36 ft.

PAGE 5

1. 46 R50

2. 25 R3

3. 21 R 35

4. various such as 4/8, 6/12

5. various such as 9/12, 30/40

6. >

7. =

8. He has $15.00

He spends $4.50

He has $10.50 left

9. Paige rides for 10 hours a week

Maggie takes 5 hours guitar and 3 hours piano, or 8 hours a week

Paige spends 2 hours more per week

10. Planted 33 plants, dog dug up 6, so he has 27 left

PAGE 6

1. 121 R3

2. 138 R15

3. 83 R23

4. numerator

5. least common multiple

6. denominator

6. least common denominator

PAGE 7

1. 7/8

2. 8/12 = 2/3

3. 13/10 = 1 3/10

4. 3312

5. 5747

6. 37,325

7. 8 x 8 = 64 sq. m

8. 25 x 20 = 500 sq. ft.

9. 1/2 x 16 x 20 = 160 sq. in.

PAGE 8

1. 76.0

2. 0.76

3. 430,000

4. <

5. <

6. >

7. 479 + 216 = 695 chairs

8. 44 x 10 = 440 miles

9. 8 x 15 = 120 min. or 2 hours

10. 8

11. 6

12. 6

PAGE 9

1. 3/4

2. 7/2 = 3 1/2

3. 9/50

4. 7 x 7 = 49 sq. ft.

5. 8 x 6 = 48 sq. in.

6. 5 x 3 = 15 sq. ft.

7. 1/2 x 11 x 8 = 44 sq. m

PAGE 10

1. 43.96 sq. yd.

2. 8, 20

3. 9.5, 7.5

4. 80, 32

5. 31, 34

6. 6, 15

7. 45, 18

8. 80

9. 400

10. 6000

PAGE 11

1. .0063

2. .448

3. 26.524

4. 42.3

5. 36.5

6. 4.0

7. 1.25 x 1000 = 1250.0 oz.

8. 3.8 / 10 = 0.38

9. 8.65 x 4 = 34.6

PAGE 12

1. quotient

2. sum

3. difference

4. product

5. 8

6. 3500

7. 139

8. 4/4 = 1

9. 0.7

10. $6.24

11. 7 3/8

12. 3 ½

13. 286,488

PAGE 13

1. 2

2. 4

3. 9

4. 1

5. 2

6. 10

7. 0,2 2,12 4,24

8. 0,3 2,5 4,7

9. 0,7 2,9 4,11

10. 0,0 2,2 4,4

11. 0,0 2,4 4,8

PAGE 14

1. 105 R19

2. 245 R2

3. 179 R18

4. 14

5. 16

6. 8

7. 8

8. 12

9. 9

10. 14 / 3 1/2 = 14 / 7/2 =

14 x 2/7 = 4 hours

11. 4 hours awake per day

4 x 7 = 28 hours awake per week

4 x 365 = 1460 hours awake/ year

PAGE 15

1. tenths

hundredths

2. quotient

Divisor

3. 150

4. 2

5. 35

6. 102

7. 290

8. 530

PAGE 16

1. 7 x 9 = 63 sq. ft.

2. 5 x 13 = 65 sq. yd.

3. 2 x 4 = 8 sq. in.

4. 6 x 9 = 54 sq. cm

5. 1/2 x 5 x 6 = 15 sq. in.

6. 1/2 x 8 x 9 = 36 sq. cm.

PAGE 17

1. <

2. <

3. >

4. <

5. 2

6. 3

7. 5

8. 10

9. – 11.

PAGE 18

1. survey of 50 students

2. survey of 100 students

3. survey of 100 students

4. comedy and adventure

H

F G

PAGE 19

1. 2/9 + 6/9 = 8/9

2. 15/24 + 4/24 = 19/24

3. 15/20 + 8/20 = 23/20 = 1 3/20

4. 5/30 + 9/30 = 14/30

5. 21/24 + 2/24 = 23/24

6. 11/16 + 8/16 = 19/16 = 1 3/16

7. 4/8 + 1/8 + 2/8 = 7/8

8. 12/36 + 30/36 + 16/36 =

58/36 = 1 22/36 = 1 11/18

9. 7/8 + 1/4 = 9/8 = 1 1/8

10. 3/4 + 7/8 = 13/8 = 1 5/8

11. 10 x $1.59 = $15.90

PAGE 20

1. 5/8 – 2/8 = 3/8

2. 9/16 – 6/16 = 3/16

3. 6/8 – 3/8 = 3/8

4. 5/6 – 2/6 = 3/6 = 1/2

5. 15/24 – 14/24 = 1/24

6. 20/48 – 12/48 = 8/48 = 1/6

7. 8 hours 24 minutes

8. 5 hours 13 minutes

9. 4 hours 11 minutes

10. 2 hours 35 minutes

11. 10:46 AM

12. 5:10 PM

13. 5:38 PM

14. 8:13 PM