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 3r d 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 1 s1 3 weeks of school over these facts. * *
2. All whole number operations (+,
3. Decimals — place value, compare, order
The Lanier 6th grade Math Team
If you have any questions feel free to email Mike Bordelon at
[email protected]
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
111
7
3
9 12
14 5
17 16
8
2 18 17 13
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.
Answers
1-9:
22.18
0 1.6493
T 115.378
W 25.83
✓ 27.359
R 60.8 kg
K 111.211
F $21.33
z
G 257.32
E 1.5893
U 26.28
E 2.25
T 14.4457
D 112.101
0
A 6.6
N 111.278
C 28.38
Y $22.13
U 62.9 kg
M 13.6 kg
H 11.6
B 249.32
P 13.8657
B $473.79
S 1.8125
R 28.159
0
0
16.75
+ 9.08
0.276
0.4333
+ 0.94
Answers
10-18:
L
0
14.3 kg
a;
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80.28
- 51.9
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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?
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® 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?
TOPIC 3-f: Review: Addition and Subtraction
13.7457
C
24.2
- 17.6
O6
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a
B-32
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK B
E
t3
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
Conceit Is Neat by
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1.962
1.6625
86.4
9.81
2.2301
5.04
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.
ii
7.6
x 1.9
C)
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x 3.8
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x
0.7
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300
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10
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0.9 x 0.8 x 7
(4.9 + 0.49) x 0.3
(5 - 0.5) x 0.22
0.75 x 8,000
0 A gas tank contains 5.3 gallons. The
capacity of the tank is 12.5 gallons.
How much will it cost to fill the tank at
$1.30 per gallon?
0.12345679 x 9
R Tape travels through a tape player at a
O
speed of 0.048 meters per second. How
long is a tape that can play for 30
minutes?
m
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK B
B-39
TOPIC 4-c: Multiplying Decimals
Number
1. 4,095
2. 8,170
3. 2,685
4. 534
5. 609
6. 29,178
7. 90,005
8. 467
9. 60,201
10. 3,375
11. 76,380
12. 599,422
13. 853,806
14. 492,570
15. 12,685
16. 64,423
17. 9,999
18. 501,105
19. 800
2
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Friendly Advice:
I I I I I 1 I 1 I I I I I 1 I I I 1 I 1
I I I I I II I I 1 I I I I
I I!
TOPIC 1-a: Divisibility Rules
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C
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TOPIC 1-c: Prime and Composite Numbers:
Numbers Less than 50
C-12
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C
-
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.
0 GCF of 6 and 10*
•
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0 GCF of 22 and 99 •
O
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0 GCF of 30 and 18 •
0 GCF of 9 and 16
•
♦ 30
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LCM of 4 and 10 •
LCM of 12 and 8
• 60
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® GCF of 70 and 21 •
®
• 120
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0 LCM of 25 and 4
• 48
0
•
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0 LCM of 40 and 12 •
LCM of 15 and 75 •
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LCM of 10 and 15 •
GCF of 20 and 8
LCM of 20 and 8
GCF of 12 and 15
•
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GCF of 24 and 16 •
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0 LCM of 24 and 16 •
• 36
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C
© Creative Publications
C-19
.A
What Is Rock 'N' Roll?
CD.
For each exercise, write >, <, or = in the
Circle the appropriate number-letter.
Write the letter in the matching numbered box at the bottom of the page.
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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
Where can you hear MUSIC on an ocean liner?
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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12
16
15
18
20
90
25
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42
49
10
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24
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21
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70
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3 inches is what fraction of a foot?
10 ounces is what fraction of a pound?
11
TOPIC 2-g: Lowest-Terms Fractions
C-28
4
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MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C
Creative Publications
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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Simplifying Proper anri Imnrr.
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
shade in the
box instead of writing a letter in it.
•,
I. Write each fraction in lowest terms.
6) 8
12
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40
30
`-=-/ 100
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Answers
18
12
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18
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TOPIC 2-I: Review:
Simplifying and Comparing Fractions
1
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171 2 120
Answers
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