St. Michael’s Episcopal School
Summer Math
for rising 6th grade students
2016
Students entering Sixth Grade should have mastered all basic facts, understand and identify
place values to hundred thousandths, and be proficient in adding, subtracting and multiplying
decimals and fractions.
To maintain skills through the summer, students are expected to complete the attached review
problems, showing all work. The summer skills packet will be collected on the first day of
school and graded.
Students are also encouraged to use math throughout the summer. Suggested activities
include:
*Play games with other people. Board games such as Monopoly, checkers and chess require
logic and/or math skills. Set, 24, Sudoku, and many card games require logic and strategy.
*Worksheets, computer games, and word problems that require students to add, subtract,
multiply, and divide without a calculator provide needed practice. Include operations with
fractions and decimals.
*Real life situations often require math. Measuring and adjusting recipes, figuring a checkbook,
determining a trip’s costs and mileage are all opportunities to use math. Compare the costs of
driving or flying for a vacation trip. Graph swim times or the price of gasoline each week.
Determine tips, change and taxes on purchases.
Page 1
1. Round 4,825 to the nearest
a. Tens
b. Hundreds
c. Thousands
2. 0, 4, 8, 12, _____, _____, _____
3. The product of 12 and 3 is _______
4. 3 + 4 x 3
5. Three weeks have ____________ days
6. If n + 7 = 11, then n = _______
For questions 7-10, use a = 3, b = 4, and c = 6.
7. a + b
8. c - a
9. 5 x c
10. c ÷ a
Page 2
1. 3 x 3 x 3
2. The difference between 9 and 2 is ____________
3. 39 ÷ 3
4. 7 hours = ___________ minutes
5. 1, 10, 2, 9, 3, _____, ______, ______
6. 10 – 3 x 2
For questions 7-10, use a = 6, b = 3.5, and c = 0.12
7. a + b
8. b x c
9. 2 x c
10. a + c - b
Page 3
1. Test the number, 2,025 for divisibility by 2, 3, 4, 5, 6, 9, and 10.
Circle your answers.
2. Find the equivalent decimal for
3
4
.
Find the sum.
3.
468 + 946
3
5.
4
+
1
2
4. 6.9 + 12.15 + 7
2
1
6. 33 + 23
7. You buy lunch, buying 2 slices of pizza at $ 1.75 each, and a drink which costs $ 1.50.
How much does your lunch cost?
8.
1
2
of 30
9. The sum of a number and 12 is 36. Find the number.
10. If n – 12 = 2, then n = ________
Page 4
1. List all the factors of 20. ______, ______, ______, ______, ______, ______
2. What fractional part of the pizza has been eaten?
3. If there are 50 dimes in a roll of coins, then it is equal to ___________ dollars.
4. 128, 64, 32, 16, _______, _______, _______
Find the difference for 5-8.
5. 113 – 66
7.
5
8
-
1
2
6. 3.72 − 1.4
5
2
8. 2 6 - 1 3
9. A store is selling CD’s for $18 each. It sells 52 CD’s on Saturday. How much money does
the store make on CD’s Saturday?
10. Three centuries equal ____________ years.
Page 5
1. 216 hours = _____________days
For questions 2-5, use a = 0.45, b = 9.3, and c = 2.62.
2. a + b
3. c - a
4. 3 x c
5.
cxb
6. 2 meters = _____________ centimeters
7. You started reading a book at 5:15 PM and finished at 8:40 PM. How long were you
reading?
8. Find the perimeter of a rectangle with
a length of 8 inches and a width of 3 inches.
9. Bon Air Fire Department wants to raise $ 5,735 for new fire suits and helmets. They
have raised $ 3,626. How much more do they need to raise?
10. Twenty minutes is what fractional part of an hour?
Page 6
Find the product for 1-4.
1. 107 x 24
2. 12.6 x 0.8
3. 48 x 1.05
4.
3
8
x
1
2
5. Nine tricycles have ______________ wheels.
6. Find the perimeter of an equilateral triangle if each side is 6 inches long.
7. What is the mean (average) of 3, 10, 43, and 24.
8. List the first 5 multiples of 3.
9. Write 34,012,006 in words.
10. 0.5, 1, 1.5, 2, ______, ______, _______
Page 7
1. Twenty-three thousandths as a decimal is ____________.
Find the quotient for 2-5.
2. 312 ÷ 3
3. 13.45 ÷ 0.5
4. 0.27 ÷ 9
5.
2
3
÷
1
2
Round 17.3825 to
6. Tenths
7. Hundredths
8. Whole number
9. Thousandths
10. In Jamie’s dresser, there are 6 black socks, 10 white socks, and 8 orange socks (his favorite
color). If he picks one without looking, what is the probability that he would choose an orange
sock?
Page 8
1. List the number of sides in the following shapes.
a. Pentagon
b. Octagon
1
2. What is the perimeter of a square if each side is 2 2 inches long?
3. Circle the best estimate for the weight of a cow.
a. 1,000 pounds
b. 1,000 grams
4. What is the range of these numbers?
24, 52, 17, 38, 13, 22, 30, 41
5.
Complete with ˂, ˃, or =
a. 1.78 _____ 1.722
b. 1.009 _____ 1.1
c. 1.0 ______ 0.999
6. 1, 2, 4, 7, ______, _______, _________
7. What is the name of this shape?
8.
What are two prime numbers between 10 and 20?
c. 1,000 tons
9. If an ant has 6 legs, how many legs would 27 ants have?
10.
What is the simplified fraction equivalent to 0.32?
Page 9
1. Three hours earlier than the time shown would be ________
1
For questions 2-5, use a = 2 , b =
3
4
3
, and c = 5 .
2. b - c
3. a + c
4. c ÷ b
5. 6 x a
6. Arrange in order from smallest to largest.
3.2, 2.33, 0.32, 0.322, 0.223
7. What fractional part of a year is 8 months?
Change the mixed numbers to improper fractions for 8-11.
1
8. 2 3
10. 4
5
6
3
9. 1 4
11. 5
1
2
Page 10
Find the quotient for 1-4.
1.
1.2 ÷ 8
3.
6 ÷ 0.04
2. 0.09 ÷ 1.2
4. 0 .2 ÷ 5
5. Circle the smallest fraction
1
1
1
7
3
10
6. What is the area of a square with sides of 8?
7. What is the mode of these numbers?
8. What is the reciprocal of
2
3
3, 7, 2, 8, 4, 7, 2, 1, 9, 4, 7, 5, 9
?
9. Parallel lines never meet.
10. What kind of angle is this?
Circle:
Acute
Right
Circle:
Obtuse
True
False
Page 11
Find the value for n in questions 1-3.
1. 3 x n = 18
2. n ÷ 6 = 2
3. 20 ÷ n = 2
4. In 23.74609, what number is in the thousandths place?
Find the products for the 5-8
5. 4.581 x 0.22
6.
18 x 0.006
7.
7 x
8.
2
3
4
5
x 6
Simplify to lowest terms.
9.
11.
18
42
10.
24
36
1, 4, 9, 16, 25, 36, ______, ______, ______
Page 12
Change the improper fraction to mixed numbers for problems 1-4.
14
1.
2.
5
10
3.
4.
3
5. Find the median for this group of numbers:
9
2
12
7
3, 7, 13, 14, 19, 20, 36, 37, 41
Find the sum for 6 - 9.
6. 24.6 + 9.82
8.
5
2
26 + 63
7. 1.1 + 0.11 + 11.1 + 1.001 + 1
9.
1
1
52 + 23
Find the difference for 10 & 11.
10. 24.6 − 9.82
2
5
11. 6 3 − 2 6