Name __________________________ Date ____________________ Period______
6th Grade Standard Math Summer Packet
We’re so proud of you for taking the time to work on math over the
summer!
Here are some helpful hints for success:
 It’s ok to have parents and other adults help you!
 Find a quiet work space where you can get organized and stay focused.
 Pay close attention to the examples and vocabulary.
 Make sure to SHOW ALL YOUR WORK on each problem.
 Remember to do a little work each week. DO NOT wait until the week before
school starts to complete your packet!
 The packet should be returned to your math teacher during the first week of
school.
Have fun & we’ll see you in August!
Directions: You may NOT use a calculator. Please SHOW ALL YOUR WORK.
Whole Numbers
1. Match the correct word to the correct definition.
Sum
A. The answer to a division problem
Difference
B. The answer to a subtraction problem
Product
C. The answer to an addition problem
Quotient
D. The answer to a multiplication problem
Solve.
2. 305 – 97 =
3. 164 + 72 =
4. 402 x 5 =
5. 634 ÷ 11 =
6. 241 x 31 =
7. The difference of 15 and 5 is ________________.
8. The quotient of 64 and 4 is ________________.
9. A machine pasted labels on 8316 soup cans in 27 minutes. How many cans did the machine label
each minute?
10. Two shirts cost $18.00 and $25.00. If they paid with $50, how much change would they receive?
11. The vegetable garden has a length of 10 feet and a width of 7 feet.
a. Find the area of the garden.
b. Suzie would like to fence the garden. How much fencing does she need?
Decimals
Use the following number below to identify the correct place value.
451.986
12. Which digit is in the tenths place? ______
13. Which digit is in the hundreds place? ______
14. Which digit is in the ones place? ______
15. Which digit is in the thousandths place? ______
Complete the statement <, >, or =
16. 6.203 _____ 6.31
17. 0.4 _____ 0.47
18. 9.5 _____ 9.05
Order the decimals from least to greatest
19. 2.94, 2.90, 2.93, 2.99, 2.97
20. 7.398, 7.03, 7.31, 7.3
Solve
21. 6.18 – 1.73 =
22. 6 + 0.4 + 0.007 =
23. 9.8 – 7.96 =
24. 4.7 x 6.1 =
25. 21 ÷ 6 =
26. 1.12 x 64 =
27. A turtle travels 4.15 meters per minute. How far does the turtle travel in 8.5 minutes?
28. One day the Johnson’s went deep-sea fishing. Mr. Johnson caught a fish that weighed 8.75. Julie
caught one that weighed 10.3 pounds. How much heavier was Julie’s fish?
29. One evening John went running on the beach. He ran 3.4 miles in 40 minutes. What was his average
time for each mile?
30. Daphne bought 3 paintbrushes at $4.25 each, an easel for $30.00, and 8 tubes of paint at $2.29 each.
How much money did she spend altogether?
Fractions
31. List the factors of 12
32. List the factors of 32
33. Circle the fractions that are equivalent.
34. Circle the fractions that are equivalent.
35. Write the fraction in simplest form.
36. Write the fraction
in simplest form.
37. Write the fraction
in simplest form.
38. Write the improper fraction as a mixed number.
39. Write the improper fraction
as a mixed number.
40. Write the mixed number 2 as an improper fraction.
41. Write the mixed number 3 as an improper fraction.
Solve.
42.
43.
Solve each problem. Find your answer in simplest form.
44.
45.
46.
47.
48.
49.
50.
51.
52. What was your most memorable activity during 5th grade math?