Incoming 6th grade summer math review.
Dear Incoming 6th Grade Students (and Parents),
Welcome to middle school!!
As we are sure you are all aware, keeping up your math skills over
the summer is of the utmost importance.
You are responsible for the following work, all due by the end of
the first week of school.
Please print out these pages week by week and do all work on the
page. If you need more room, use the back of the page. Work must be
done neatly and completely. Always show your work. Always circle your
answers. This packet will be graded as your first test score of the
year.
Have a great summer and we will see everyone in August!
Mrs. Hassan and Mrs. Lerner
Week #1
In the number 702, 931, 652, 714, write the digit in the:
1) Ten billions place ________
2) Millions place ________
Find the missing factor:
3) 4 × ____= 20
4) _____× 7 = 42
Write the 4 related facts using the given numbers:
Example: 3,6,18
6 x 3 = 18
3 × 6 = 18
18÷ 3 = 6
18 ÷ 6 = 3
5)
3, 9, 27
6)
5, 8, 40
List the factors. Label the numbers as prime or composite.
Example: 9--factors are 1, 3, 9.
9 is composite.
7) 21
8)
37
Find the least common multiple of each set of numbers:
9)
5 and 7
10)
9 and 12
Find the product. Write in simplest form. Show your work.
11) 3/10 × 1/3 =
12) 3/4 × 3/5 =
Reciprocals are two numbers whose product is 1.
2/7 × 7/2 = 1
2/7 and 7/2 are reciprocal
Write the reciprocal of each number:
13)
5/9
14) 11
Write the place of the underlined digit:
15) 1. 513
16)
4. 914
Week #2
Write the number in standard form.
1) Three hundred five billion, seven hundred thousand
__________________________________
2) 2,000,000,000 + 60,000 + 90 + 2
___________________________________________
Find the missing factor:
3) 9 × _____= 54
4)
_____× 7 = 49
Divide. Find the quotient and remainder. Show your work
5)
568 ÷ 3 =
6)
817 ÷ 7 =
Prime factorization. Create a factor tree for:
7) 90
8) 75
Add. Write sum in simplest form.
9) 5/12 + 4/12 =
12) 11/12 + 1/12 =
Find the product. Write in simplest form. Show your work.
13) 3/8 × 5/7 =
14) 5/6 × 2/9 =
Divide a whole number by a fraction.
1. Rename whole number as reciprocal
2. Multiply by reciprocal of divisor
3. Simplify
Example:
4 ÷ 2/3 = 4/1 ÷2/3
= 4/1 × 3/2
= 12/2
=6
Divide. Show your work.
13) 3 ÷ 1/2 =
14) 4 ÷ 1/3 =
Add. Line up decimal points.
15) 0.2 + 0.79 =
16) 0.03 + .09 =
Week #3
Write the word name for each number:
1) 421, 007
_________________________________________________________
2) 5.61
_________________________________________________________
These are the rules of multiplication:
1. Zero Property: 7 x 0 =0
2. Identity Property: 7 x 1 = 7
3. Commutative Property: 2 x 7 = 7 x 2
4. Associative Property: 3 x (4 x 5) = (3 x 4) x 5
Name the multiplication property used:
3) 2 x 6 = 6 x 2
_________________________________________________________
4) 1 x 4 = 4
_________________________________________________________
Divide and check. Show your work.
5) 830 ÷ 4 =
6) 474 ÷ 6 =
Find the greatest common factor of each set of numbers. Circle the answer.
7) 18 and 21
8) 16 and 48
Add. Write sum in simplest form. Show your work.
9) 1/2 + 1/7 =
10) 5/8 + 1/2 =
Find the product. Show your work.
11) 30 x 1/10 =
12) 15 x 2/3 =
Divide. Show your work.
13) 7 divided by 4/5 =
14) 8 divided by 1/6 =
Add. Line up the decimals.
15) .72 + 0.3 =
16) 0.7 + 0.97 =
Week #4
Compare. Write ˂, ˃, or =
1) 10.09 ______ 10.7
2) 9.52 ________ 9.520
Find the product. Show your work.
3) 8 x 30 =
4) 40 x 9 =
Divide and check. Show your work.
5) 8,360 ÷ 4 =
Find greatest common factor of each set of numbers.
7)
6 and 15
8) 2, 6, and 18
6) 6, 246 ÷ 6 =
A mixed number is a whole number and a fraction. Write as a mixed fraction.
Example: five and six tenths = 5 6/10
9) seven and one seventh __________
10) four and five eighths ___________
Find the product. Write in simplest form. Show your work.
11) 3/10 x 25/27 =
12) 5/8 x 4/15 =
Divide a whole number by a fraction.
1. Multiply by reciprocal of divisor.
2. Multiply the numerators, then the denominators.
3. Rename product as whole or mixed number.
Example:
2/3 ÷ 3/5 = 2/3 x 5/2
= 10/9
= 1 1/9
Divide. Show your work.
13) 1/2 ÷ 1/6 =
14) 1/4 ÷ 1/12 =
Subtract. Line up the decimals.
14) 0.08 + 0.04 =
15) 0.9 + 0.37
Week #5
Write in order from least to greatest
1) 5,135,936; 5,315,396; 5,531,638
_________________________________________________________
2) 4.13; 41.3; 0.413
_________________________________________________________
Find the product. Show your work.
3) 15 x 67 =
4) 215 x 35=
Divide and check. Show your work
5) 129 ÷ 14
6) 403 ÷ 13 =
Write fraction is simplest form.
7)
24/48=
8)
28/35=
Subtract. Write fraction in simplest form.
9)
19/12 – 7/12 =
10)
7/8 – 3/8 =
Rename each as an improper fraction.
11)
2 1/8 =
12) 6 7/10 =
Divide. Write in simplest form. Show your work.
13) 3/4 ÷ 1/6 =
14) 5/6 ÷ 1/9 =
Subtract. Line up the decimals. Show your work.
15) 5.6 – 2.4 =
16) 3.9- 0.2 =
Week #6
Find the missing addend.
1) 8 + ______ = 15
2) ______ + 9 = 17
Find the product. Show your work.
3) 512 x 70 =
4) 215 x 356 =
Divide and check. Show your work.
5)
96 ÷ 32 =
6) 680 ÷ 34 =
Write each fraction in simplest form.
7) 14/42 =
Subtract. Write fraction in simplest form.
9) 7/8 – 1/2 =
10) 7/9 – 2/3 =
8) 18/45 =
Rename as improper fraction.
Example 5 1/3 = 16/3
11) 6 1/17
12) 10 1/2
Divide. Show your work.
13) 3/5 ÷ 3/10 =
14) 4/9 ÷ 1/12 =
Add. Line up the decimals.
15) 5.2 + 8.13 =
16) 3.25 + 1.7 =
Week #7
Find the missing addend.
1) 15 = ______ + 8
2) 13 = 6 + _______
Find the product.
3) 372 x $1.59 =
Divide and check. Show your work.
5) 1456 ÷ 44 =
4) 607 x 48 =
6) 3,792 ÷ 63 =
Find the least common multiple of each set of numbers. Show your work. Circle
the answer.
7) 2 and 4
8) 3 and 10
Add. Write fraction in simplest form. Show your work.
9) 7/13 + 4/13=
10) 3/5 + 1/3=
Find the product. Show your work.
11) 3/4 × 1 2/6 =
12) 4 1/4 × 2/3 =
Divide. Show your work.
13) 2/3 ÷ 3/4 =
14) 2/11 ÷ 10/13 =
Subtract. Line up the decimals.
15) 5.2 – 3. 75 =
16) 15.67 – 3.4 =