Sixth Grade Summer Math Packet - Upper St. Clair School ...

Students Entering Sixth Grade

Summer Math Packet

Name - - - - - - - - - - - - - -

Dear Parents,

The attached packet provides a range of activities that review and e:xp-a-nd on the math concepts yourchi?ld has learned in school this past year. It is designed to be worked on for 15 to 30 minutes a day throughout the summer, rather than completed in just a few days at the beginning or end of summer. The goal is to keep skills sharp to be ready to move _forward into the n.e?d school year.. 'lYe .have provi~~d answers .

for grades 3=6 and ask you to please review the work with your child as it is completed. Students will be asked to hand in their

completed work the first week of school.

Have a great summerl

The SeacrestStaff

Table of Contents

41) Adding and Subtracting Decimals 41) Multiplying with Decimals 41) Dividing with Decimals 41) Interpreting Data 41) Geometric Ideas 41) Measuring and Drawing Angles 41) Adding and Subtracting Fractions 41) Adding Mixed Numbers 41) Subtracting Mixed Numbers 41) Multiplying Fractions 41) Multiplying Mixed Numbers 41) Problem Solving Strategies 41) Measurement- Customary & Metric e Perimeter 41) Area 41) Ratio and Proportion 41) Fractions, Decimals, and Percents 41) Probability

iName --------------------------------------Adding and Subtracting Decimals

Review

2

Find 1.7 + 2.45.

Find 36.57 - 4.6.

Line up the decimal points.

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1 . 7

+ 2.45

1

1 . 7 0 -+ Write zeros to

+ 2. 4 5 show place value.

4.15

t Place decimal point

in answer.

Line up the decimal points.

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5 15

3 6 . 5 7 3 ? . ~ 7 Write zeros to

- 4. 6 - 4. 6 0 -+ show place value.

31 D 9 7

t Place decimal point

in answer.

Find each sum or difference.

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1. 2.65

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2. 1 4.1 0

+13.30

- 3.05

3. 744

+ 36.2

4. 9

- 0.6

5. 8 .97

+ 66

6. 1 00 0.22

7.

6.8

+237.29

" 8. 0.5 - 0.23

9."15.4 ~ 8 = _ _

10. "3 -2.54 = _ __

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11. 1.34 + 4.1 = _ __

12. 133.01 - 5.6 = _ __

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13. 448 + 1.75 + 80.3 = _ __

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14. 12.3 + 0.61 + 100 = ~__

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15. On the 3-days of their vacation, the Davis family

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travel~d 417 mi, 45.3 mi, a'nd 366.9 mi. How far' did they travel. all together?

16.. Etta bought a calculat.or for $15. Glenn .found th'E} . s~me model for $9.79. How much more did Etta.

pay than Glenn did?

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Find 4.3 x 2.7.

Multiply as you would with whole numbers.

2

4.3

x 2.7

301 860 1 1 61

Co.unt the number of decimal places in both factors. The total is the number of decimal places in the product.

4.3 -+- 1 decimal placE?

x 2.7 -+- + 1 decimal place

11 . 61 ~ 2 decimal places

Find e.ach product.

1. 1 4 X 8.8 1 1 2 1120

2. 1.6 x .9

3. 0.4 x 3.2

4. 0 .05

x 0.3

5. 2.1 5 x. 8.3

6. 3.3 X 0.1 2

7~ 0 .51

x 4.2

8..

1 .35

X 13

9. 23 X 0.47 = - - - 10. 0.9 X 5 ~ _ __

11 . 168 X 2.25 = _ __

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8~" VoV /'-. V . I 1 - _ __

15. A roll of paper towels contained 250 sheets. Each sheet was 8.75 inches long.. How long was the roll?

1 Tania bought 3 new sweaters, Each sold for $-19.99. How much did she spend?

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Review

6

,Dividing with Decimals

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Find 36.8 -7- 16.

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2.

1 6)3?6 . 8

Place the decimal point.

2 -+ Think: 20)40

Try 2 in the quotient.

2.3 1 6)3 6 . 8

-32

4 8

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Multiply 2 x 16.

Subtract. Bring down 8.

Multiply 3 x 16.

Subtract.

Find each quotient.

2. 1. 6)1 3.8

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2. 6)1 3 1 .4

3. 9)1 4 1 . 3

4. 5)388 . 5

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5. 7)6.6 9 .-2

6.2 8)2 6 3 . 2

7.41)274.7

8. 7)34.2.3

9. 269.12 -7- 8 = _ _

10. 311.56 -7- 4 = _ __

11.2,229.62 -;- 46 = '_ __

12. 1,449.09 -7- 81 =:= _ __

'1;3. A photographer bought 36 rolls of film for $136.44.

What was the price of one roll?

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14. Four students each ran' 100 m in a AOO-m relay race.

The' t~am's total time was 49.44 sec. Find the average time of each runner.'

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The bar 'graph shows the lengths in miles of the Great Lakes. Lengths of 'bars represent lengths of lakes.

Which 'is the shortest Great Lake?

The shortest lake is Lake Ontario.

500r..??................?....?.l..e.?..n?????g?....t?.h.?.._s..?..o....f..?.t.??h..??e.._..G??....r...e...a....t...-l..a....k.....e....s.............................,

~ 4001-?....?..?..?..?.?......????..?:??????..????..??....?_?..?..?..??...........................................................................,

g 300

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..J 100

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Superior Michigan Erie Lake

Huron Ontario

Use the graphs to answer each question. 1a How fllany archers scored 4 buli's eyes?

2. What was the most common number of bull's-eyes scored?

Archery Results

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0 1 ?2 3 4 5 6

Number of Bull's-eyes Scored

Number of Houses Sold

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3. In which month were the most houses sold?

i ~: ,:~:l~~!=~:~~;:~:~~I~::~F~jb~~i 4. In which. month were about the sam.e

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number soid as were said in August?

Jan Feb Mar Apr May Jun Jul Aug.

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Month

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5a Which grades raised about the same'

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amount for the school book drive?

6a The school's goal was to raise $1 ,500.

About how much did they raise in all?

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1st 2nd 3rd' 4th 5th

Grade

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Name ----------------------~----------------------------------

Geometric Ideas

? A line is a straight path of points

that goes on forever in two

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directions. Examples: AS"GK.

A

? A ray is a part of a line with

B

one endpoint, extending forever

in only one direction. ~~

Examples: FD, FB.

? A? line seg~ent is part of a line with two endpoints. Examples: CF, MQ.

? A midpoint is the point halfway between the endpoints of a line segment. Example: Point L is halfway between points J and M on JM.

? Congruent line segments are ?Iine segments that have the same length. Example: OR is congruent to.ST.

? Parallelli~s are in the sa(m~ plane but do not intersect. Example: AS is parallel to 8'T.

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Use the diagram. at the right. Name t.he following~

1. three line segments

2. two parallel lines

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3. two lines that intersect DT

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4. two congruent line segments?

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5. two lines perpendicular to BR

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6. two midpoints of line segments

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