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6TH GRADE SUMMER REVIEW
1) What type of “eye-catching” graph is used most often in newspapers and magazines?
A. histogram
B. pictograph
C. bar graph
D. line graph
2) Create a line plot for the Number of Pets in each Family:
5, 0, 0, 1, 2, 3, 1, 5, 4, 0, 0, 3, 3, 4, 1, 1, 1, 2, 3, 2, 1, 3
Determine if each number is prime, composite, or neither.
3) 17____________________
4)
1____________________
Name 4 factors and multiples of 6.
5) Factors: _______, _______, _______, ________
6) Multiples: _______, _______, _______, ________
Find the prime factorization of each number below.
7) 80 ____________________
Find the greatest common factor of each group of numbers.
8) 40, 60 ____________________
Find the least common multiple of each group of numbers.
9) 18, 10 ____________________
10)Dave is planning a cook-out. If hotdogs come in packages of 6 and buns come in
packages of 8, what is the minimum number of hotdogs and buns he could buy and
have no leftovers? How many packages of each?
Find each sum or difference. Write in simplest form.
11) 4
1
4
2
9
9
12) 1
7
10
3
3
4
Find each product or quotient. Write in simplest form.
3 6
13) 1
8 11
14)
7
8
2
15)Lauren bought 12 pounds of raisins. She packed them into freezer bags so that each
3
bag weighs lb. How many freezer
bags did she pack?
4
16)Evaluate 3 cubed.
17)122
(3
18)60
10
22)
9 + 102
Evaluate each expression if a = 2, b = 4, and c = 6.
19) 3ab
20) bc
c-a
Complete the following table. Write fractions in simplest form.
Fraction
1
3
23)
Decimal
21)
22)
0.16
25)
Percent
24)
26)
17.5%
Find the percent of each number.
27) 8% of 200
Order the rational numbers from least to greatest.
28)
3
4
0.34
65%
7
12
29)Taylor is buying an i-Pod that is on sale for 10% off the regular price. If the i-Pod is
regularly $150, how much will she pay?
30)A sweatshirt costs $48 at Hollister. The sales tax rate is 7%. How much will it cost to buy
the sweatshirt?
31)If a 6-foot man casts a 5-foot shadow, how tall is a building next to the man that casts
a 45-foot shadow?
32)Compare and contrast line and rotational symmetry.
33)Which statement is true about a rectangle?
A) rotational symmetry after a 180° turn
B) rotational symmetry after a 90° turn
C) rotational symmetry after a 45° turn
D) does not does not have rotational symmetry
Solve the equation and graph the solution on a number line.
34) 3x = 9
35) 9 = x – 3
36) x + 12 = 29
x
37) 8 = 4
38)Measure the line segment to the nearest eighth inch.
_______________________________________________________________
39)Measure the line segment to the using mm.
________________________
40) 5 mi = __________ ft
41) 0.02 kL = __________ L
42)Solve for n.
n
6
1.5
4
43)On a scale drawing, 2 cm = 15 km. A line segment on a drawing is 3 cm long. What is
the actual distance?
44)The actual distance between Albany and Atlanta is 206 miles. If the map scale is 1
inch to 20 miles, what is the distance between Albany and Atlanta on the map?
45)If y varies directly with x, and y = 7 when x = 9.1, find x when y = 5.
46)Use the tables below to write a direct variation equation, a proportion, and graph
each. (Use your own graph paper)
x
y
3
1
6
2
9
3
12
4
47)If y = ½ x, find y if x = 9.
48)Find the constant.
y = 15x
49)Is it impossible, unlikely, as likely as not, likely or certain that the month of February has
29 days in a leap year?
50)Five cards are labeled with the letters S, A, L, S, and A. Find P(A).
51)Emily conducted a survey to determine students' favorite ice cream flavor. Of the
students she surveyed, 14 out of 70 preferred cookie dough. If there are 1000 students
in her school, predict how many would prefer cookie dough.
52)Compare and contrast the units of measure for surface area and volume?
53)If a gift box has the length of 4.5 m, width of 3 m, and is 2 m tall, how much cardboard
is needed to create the box?
54)A soft drink can has a height of about 13 cm and a diameter of about 6 cm. How
much aluminum is needed to make the can?
55)The steeple on a building is a square pyramid with a base area of 12 feet2 and a
height of 15 feet. How many cubic feet of concrete was used to make the steeple?