6th grade Vanguard Math Prerequisites Lanier Middle School

6th grade Vanguard Math Prerequisites Lanier Middle School

Hello and Welcome to Lanier Middle School!

In this packet you will find practice problems for students to work on over the summer. All of these topics should have been covered in Elementary and it is expected , students have already mastered these concepts. If your child struggles with these concepts we suggest you visit khanacademy.org , purchase Pre-Algebra software or a Pre-Algebra workbook for additional practice. This packet is due the 3" 1 week of school for a grade and we will have a quiz over these concepts during the 3 rd week as well.

Concepts covered in this packet:

1. NUMBER THEORY — divisibility rules, prime & composite numbers, factors, multiples, GCF, and LCM

2. DECIMALS — addition, subtraction, multiplication

3. FRACTIONS — simplify, equivalent, compare, mixed numbers and improper fractions, addition, subtraction

Other concepts your child should have mastered, but not covered in this packet are:

1. Multiplication facts (times table) through 12 • 12. ** We will have 2 timed quizzes during the .st 3 weeks of school over these facts. * *

2. All whole number operations (+, -)

3. Decimals — place value, compare, order

The Lanier 6 th grade Math Team

M. Bordelon A. Smith

If you have any questions feel free to email Mike Bordelon at [email protected]

iii 111 Do each exercise below. Find your answer in the appropriate answer box and notice the letter next to it. Each time the exercise number appears in the code, write this letter above it.

0 16.75 + 9.08

24.2 - 17.6

3.666 + 7.934

80.28 - 51.9

Answers 1-9:

T 115.378

G 257.32

A 6.6

R 28.159

22.18

W 25.83

E 1.5893

N 111.278

H 11.6

0 1.6493

✓ 27.359

U 26.28

C 28.38

B 249.32

Answers 10-18:

R 60.8 kg

E 2.25

Y $22.13

P 13.8657

J 13.7457

K 111.211

T 14.4457

U 62.9 kg

B $473.79

L 14.3 kg

F $21.33

D 112.101

M 13.6 kg

S 1.8125

CRYPTIC QUIZ 1. Why did the cowboy want to ride a bull in the rodeo?

13 5 6 16 13 2 10 16 1 11 18 4 15 12 2. Where does Santa keep his track and field trophies?

9 7 3 9 12 14 5 17 16 8 2 18 17 13

0 0.276 O6 386.5

0.4333 - 129.18 + 0.94

0 13 + 6.4 + 2.78

® $377.49 + $96.30

@ 0.436 + 0.9097 + 5 + 8.1

@ 101.1 + 0.101 + 10.01

• Dexter weighs 50 kg. His body contains 30.8 kg of oxygen and 4.9 kg of hydrogen. The rest is made up of other elements. How many kilograms of other elements are in Dexter's body?

2.918 U 37.

34.36 - 9.641 + 74.

ED $50 - $28.67

@ 3 - 1.1875

® 20.3057 - 6.44

® 2.5 - 0.25

CI Anne's body contains 38.6 kg of oxygen, 6.1 kg of hydrogen, and the rest other elements. The weight of other elements is 20.4 kg less than the weight of oxygen. How much does Anne weigh?

TOPIC 3-f: Review: Addition and Subtraction B-32 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK B

7 14.44 1,013.36 1.11111111 1.962 1.6625 86.4 9.81 2.2301 5.04

.?) 0 ABOVE ARE THE TITLES OF THREE "BOOKS NEVER WRITTEN." TO DECODE THE NAMES OF THEIR AUTHORS:

Do each exercise and find your answer in the code. Each time the answer appears, write the letter of the exercise above it.

BOOKS NEVER WRITTEN The Broken Window Mystery by

5.04 9.36 9.81 1.2010111 1,062.36 86.4 14.44 2,520 6,000

Weeds in the Garden by

0.99 9.81 32.76 2.5201 0.99 5,840 1.617 1.672 0.216 32.76

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0 0.9 x 0.8 x 7

0 (5 - 0.5) x 0.22

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A gas tank contains 5.3 gallons. The OR Tape travels through a tape player at a capacity of the tank is 12.5 gallons. speed of 0.048 meters per second. How How much will it cost to fill the tank at long is a tape that can play for 30 $1.30 per gallon? minutes?

m

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK B B-39 TOPIC 4-c: Multiplying Decimals

Some Friendly Advice SOME "FRIENDLY ADVICE" IS HIDDEN IN THE RECTANGLE. TO FIND IT:

Circle letters next to each given number to show divisibility by 2, 3, 5, 9, or 10. Write the circled letters on the line at the right. Also write the letters, in order, into the boxes at the bottom of the page.

HINT: Two of the given numbers are not divisible by 2, 3, 5, 9, or 10; no letters will be circled for these numbers.

1. 2. 3. 4. 5. 6. 7. 8. 9.

10. 11. 12. 13. 14. 15. 16. 17. 18. 19.

Number Divisible by

2 3 5 9 10 4,095 S N E V 0

8,170 E D R L J

2,685 0 U M G S

534 P A T F

609 S N F X T

29,178 T 0 T A

90,005 0 A P E B

467 N E M C

60,201 R E L T

3,375 S E 0 F N

76,380 L E A D V

599,422 E V M S G

853,806 S F A

492,570 A

12,685 A P B

64,423 E D A L M

9,999 K T B S T

501,105 R U C H D

800 K M E N R

Friendly Advice:

11 11 1 I

TOPIC 1-a: Divisibility Rules C-8 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C © Creative Publications

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TOPIC 1-c: Prime and Composite Numbers: Numbers Less than 50 C-12 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C

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♦ 2

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♦ 48

♦ 40

What Did Captain Hook Say in the Bakery? Find the GCF or LCM for each exercise. Draw a straight line connecting the square by the exercise to the square by its answer. The line will cross a number and a letter. Write the letter in the matching numbered box at the bottom of the page.

• GCF of 6 and 10 •

® GCF of 22 and 99 •

12 ® 0 GCF of 30 and 18 ♦

0 GCF of 9 and 16 ♦ 0

® GCF of 70 and 21 •

® LCM of 4 and 10 ♦ ®

• LCM of 12 and 8 •

® LCM of 25 and 4 •

♦ 6

♦ 120

♦ 30

♦ 60

10 LCM of 40 and 12 ♦ 0 0 0 ® ♦ 11

O CD LCM of 15 and 75 ♦ ®

♦ 24

8 GCF of 10 and 15 ♦ (1) ° Q_b) ® ♦ 18

Oi LCM of 10 and 15 • ® ® ® ♦ 8

® GCF of 20 and 8 ♦ ® ♦ 1 @ ® ® ® LCM of 20 and 8 • ♦ 20

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♦ 75

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♦ 100

10 GCF of 18 and 36 ♦ ♦ 3

0 LCM of 18 and 36 ♦ ® ♦ 5 @ CD GCF of 24 and 16 ♦ 10 ♦ 4

0 LCM of 24 and 16 ♦ ♦ 36

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9 10 11 12 13 14 15 16 17 18 19 20

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C © Creative Publications C-19 TOPIC 1-h: Review: GCF and LCM

What Is Rock 'N' Roll? For each exercise, write >, <, or = in the O. Circle the appropriate number-letter. Write the letter in the matching numbered box at the bottom of the page.

> < =

1 38 0 21 29-L 10-H 15-F

2 I 0 ÷ 19-A 24-M 16-P

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4 t 0 + 29-V 15-T 8-K

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10 7 0 21 8-1 14-U 20-N

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12 20 0 2 0 - 1 - 33-T 6-F 13-L

13 1 0 :12- 1-A 18-P 28-N

14 —16 0 21 9 G 13 H 12 -C

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16 6 0 21 23-T 6-E 20-U

17 t 0 ÷ 14-A 22-S 26-M

18 —04 0 21 28-R 34-0 2-T

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22 2 0 175 32-N 20-J 2-L

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27 ; 0 3126 2-T 17-0 26-B

28 21 0 100 25-P 22-Y 7-W

1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17

18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C © Creative Publications C-23 TOPIC 2-d: Comparing Fractions to

2

0 74 2 _ 20 10 35

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C-28 TOPIC 2-g: Lowest-Terms Fractions MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C © Creative Publications

12 15 20 16 18 90

25 12 42 75 32 49

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24 10 15

8 24 40 30 36 CD + 15 ®

12 21 60 30 36 80 0 270 O 12

10 52 0 43

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70 100 8

10 45 28 60 100 ®

75 8 21 100 36 24

18 55 120 36 75 150

40 minutes is what fraction of an hour?

3 inches is what fraction of a foot?

10 ounces is what fraction of a pound?

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Where can you hear MUSIC on an oceanliner? Write each fraction in lowest terms. Find your answer at the right and mark the letter next to it. For each set of exercises, there is one extra answer. Write the letter of this answer in the corresponding box at the bottom of the page.

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TOPIC 2-i: Mixed Numbers and Improper Fractions C-30 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C © Creative Publications

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Why Did the Football Coach Send in a Bunch of Second-String Players?

Simplify each fraction on the top curve and find your answer on the bottom curve. Draw a straight line connecting each exercise to its answer. The line will cross a number and a letter. Write the letter in the matching numbered box at the bottom of the page.

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MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C Creative Publications C-31 TOPIC 2-j: Review:

Simplifying Proper and Improper Fractions

3 13 10 22 8 15 19 1 17 2 20 4 24 6 14 12 9 18 7 23 5 16 21 11

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Answers

III. Write a > or < in each O. Then choose the SMALLER fraction and find it among the answers.

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0 41 0 92

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Why Was the Zoo Worker Fired for Feeding the Monkeys?

Do each exercise and find your answer to the right. Write the letter of the answer in the box containing the number of the exercise. If the answer has a 6 , shade in the box instead of writing a letter in it.

I. Write each fraction in lowest terms.

-9— 12

(-3-) 25 40

30 100

O 16 32

(--2) 8 18

(4-) 12 36

O 16 20

(-8-) 15 `-:-J 48

Answers 20

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TOPIC 2-I: Review: Simplifying and Comparing Fractions C-34 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C

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II. Write each improper fraction as a mixed number and each mixed number as an improper fraction.

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C - 4 1 TOPIC 3-e: Review: Addition and Subtraction

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TOPIC 3-h: Adding Mixed Numbers