Download 6th Grade Summer Math Packet

Mrs. White
Summer 2015
6th Grade Summer Math Packet
This packet is designed to be a review of essential math skills. It includes problems
covering math concepts and skills that are necessary for success in 6th grade math.
This packet is to be completed before the first day of school. Please bring this to Mrs.
White’s Math class on the first Friday of the school year, as this will be your first grade of
the school year.
Please do not use calculators on any part of this packet.
Show ALL work.
All work must be done in pencil and must be legible.
Do not wait until the last minute to complete this packet and do not try to complete this all
at one time. Pace yourself!
Timed math drills covering addition, subtraction, multiplication and division facts are part
of our work in 6th grade Math. Reviewing multiplication facts through 12 and completing
online math drills are great ways to prepare for our class. Please review adding and
subtracting fractions thoroughly before we begin school in August.
Go to the 6th grade Math blog for additional Math review and links to practice timed tests.
The blog address is www.gwamath-mrswhite.blogspot.com.
Thank you,
Lori White
GWA 6th grade Math
Mrs. White
Summer 2015
Find the sum, difference, product, or quotient.
1.
174 ÷ 6
2. 203 – 178
3. 334 × 28
4. 962 + 284
5. You are buying T-shirts for the school store to sell. The T-shirts come in boxes of 24
each. You buy 12 boxes. How many T-shirts did you buy?
Identify the place value of the bold faced digit. Then write the number in
expanded form.
6. 537,095
7.
6,976,324
Estimate the following problems.
8. 5239 + 539
9.
24  18
10. 5846 ÷ 13
Solve.
11. You need $57 for a concert ticket. You have $19. How much more money do you need
for the ticket?
Mrs. White
Summer 2015
12. You need to bring 75 cupcakes to a party. The first batch of cupcakes makes 15. How
many more batches do you need to make?
13. You need school supplies. You buy a binder for $3.95, colored pencils for $1.79, a
pencil pouch for $0.99, a folder for $0.19, and markers for $2.29. How much did you spend
on school supplies?
Find the sum or difference.
14.
15.3 + 21.9
15.
7.61 – 3.19
16.
49.4 – 23.6
17.
4.3 + 26.13
Write a fraction to represent the shaded region or part of the set.
17.
Complete the statement.
19. 7 hours = ______minutes
20. 560 seconds = _______ minutes
21. 94 hours = _____days ______hours
22. 11 minutes 35 seconds = ______ seconds
18.
Mrs. White
Summer 2015
Find the area and perimeter of the figures.
23.
9 ft
24.
6 ft
6 ft
7cm
11cm
9 ft
9cm
Write the following as fractions or mixed numbers.
25.
0.068
26.
4.013
27.
9.64
30.
1.9
Compare, and write < or > .
28. 0.039
0.039
29. 0.83
0.093
1.90
Write the following as decimals.
31.
13
32.
100
73
33.
1000
4
54
100
On the line above, create and label a number line showing the following decimals.
34.) 1.7
35.) 2.3
36.) 2.9
37.) 3.2
Mrs. White
Summer 2015
Round the following numbers to the ten-thousands place.
38.
42,890
39.
895,634
40.
3,718,859___________
Round the following number to the hundredths place.
41.
6.0795___________
42.
45.12348___________
43.
79.862___________
Make a factor tree for each number. Write the prime factorization for each (using
exponents, where possible).
44.
200
45.
66
46.
248
Write a number sentence for each problem. Then solve each problem.
47. Elizabeth rides her bike for an average speed of 8 miles per hour. At that speed, how
many miles can she ride in 6 ½ hours?
Number sentence_____________________
Solution_____________
48. Jamie types at an average rate of 1.25 pages per quarter hour. If she types for 2
hours, how many pages can she type?
Number sentence_____________________
Solution______________
Place the decimal point in each of the following products:
49. 14.09 × 38.2 = 5 3 8 2 3 8
50.
7.8 × 12.36 = 9 6 4 0 8
51.
52.
340.6 ×
4.71 × 0.006 = 2 8 2 6
9.05 = 3 0 8 2 4 3
Mrs. White
Summer 2015
Add and subtract the fractions and mixed numbers. Write each answer in
simplest form.
1
53.
5
+
1
3
− 3
54.
2
1
3
2
+
1
55.
6
7
1
56.
4
1
7
10
−
1
5
1
4
60.
Divide the square (below) into 3 triangles that have the following properties:


8
8
10
+ 1
16
−
57.
58.
3
5
5
59.
8 − 4
Two triangles that have the same area.
The third triangle has twice the area of either of the others.
Classify the following angles as acute, obtuse, right, or straight.
61.
62.
63.
64.
3
Mrs. White
Summer 2015
Solve the following rate problems using a rate table.
65. Kelly was excited she was going to work at her favorite ice cream shop over the
summer. Her boss told her he would pay her $7.00 per hour. Using that rate of pay,
complete the rate table below.
Hourly Pay
Hours Worked
$7.00
1
2
4
$52.50
66. During football games at GWA, the concession stand sells lots of candy. The students’
favorite is Skittles. Complete the rate table below.
Bags of
Skittles
Money
Spent
1
2
3
$2.50
15
$12.50
67. Convert the following decimals, fractions, and percents.
Decimal
Percent
Fraction
0.85
68 %
3
4
40%
3
1
3
$25.00
Mrs. White
Summer 2015
Use the Order of Operations to evaluate the following expressions.
68.
33 – (6 x 4) ÷ 2
69.
7 + 60 ÷ (7 + 5)
70.
(2² – 2) x 3 + 13
Subtract.
71.
90,234
– 56,754
72.
75,442
– 7,509
73.
4 hr. 11 min.
– 2 hr. 45 min.
Divide.
74. 21,320 ÷ 65
75. 8227 ÷ 21