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6 TH GRADE SUMMER REVIEW<br />
1) What type of “eye-catching” graph is used most often in newspapers and magazines?<br />
A. histogram<br />
B. pictograph<br />
C. bar graph<br />
D. line graph<br />
2) Create a dot plot for the Number of Pets in each Family:<br />
5, 0, 0, 1, 2, 3, 1, 5, 4, 0, 0, 3, 3, 4, 1, 1, 1, 2, 3, 2, 1, 3<br />
Determine if each number is prime, composite, or neither.<br />
3) 17____________________<br />
4) 1____________________<br />
Name 4 factors and multiples of 6.<br />
5) Factors: _______, _______, _______, ________<br />
6) Multiples: _______, _______, _______, ________<br />
Find the greatest common factor of each group of numbers.<br />
7) 40, 60 ____________________<br />
Find the least common multiple of each group of numbers.<br />
8) 18, 10 ____________________<br />
9) Dave is planning a cook-out. If hotdogs come in packages of 6 and buns come in<br />
packages of 8, what is the minimum number of hotdogs and buns he could buy and<br />
have no leftovers? How many packages of each?<br />
Find each sum or difference. Write in simplest form.<br />
10)<br />
11)<br />
1 4<br />
4 − 2<br />
9 9<br />
7 3<br />
1 + 3<br />
10 4<br />
Find each product or quotient. Write in simplest form.<br />
3 6<br />
12) 1 • 8 11
13) 7 2<br />
8 ÷<br />
14) Lauren bought 12 pounds of raisins. She packed them into freezer bags so that each<br />
bag weighs 3 lb. How many freezer bags did she pack?<br />
4<br />
15) Evaluate 3 cubed.<br />
16) 12 2 ÷ (3 • 2 2 )<br />
17) 60 ÷ 10 • 9 + 10 2<br />
Evaluate each expression if a = 2, b = 4, and c = 6.<br />
18) 3ab<br />
19) bc<br />
c-a<br />
Simplify.<br />
20) 23.008 – 9.139<br />
21) 2.73(96)<br />
22) 89.7 + 1.96<br />
23) 479.96 ÷ 52<br />
24) Evaluate 11 – x if x = 6.53.<br />
25) Evaluate a + 2.12 if a = 3.542.<br />
Complete the following table. Write fractions in simplest form.<br />
Fraction Decimal Percent<br />
1 26) 27)<br />
3<br />
28) 0.16 29)<br />
30) 31) 17.5%<br />
€<br />
Find the percent of each number.<br />
32) 8% of 200
Order the rational numbers from least to greatest.<br />
33)<br />
3<br />
4<br />
0.34 65%<br />
7<br />
12<br />
€<br />
34) Taylor is buying an i-Pod that is on sale for 10% off the regular price. If the i-Pod is<br />
regularly $150, how much will she pay?<br />
€<br />
35) A sweatshirt costs $48 at Hollister. The sales tax rate is 7%. How much will it cost to buy<br />
the sweatshirt?<br />
36) If a 6-foot man casts a 5-foot shadow, how tall is a building next to the man that casts<br />
a 45-foot shadow?<br />
Solve the equation and graph the solution on a number line.<br />
34) 3x = 9<br />
35) 9 = x – 3<br />
36) x + 12 = 29<br />
x<br />
37) 8 = 4<br />
38) 5 mi = __________ ft<br />
39) 0.02 kL = __________ L<br />
40) Solve for n.<br />
n 1.5 =<br />
6 4<br />
41) On a scale drawing, 2 cm = 15 km. A line segment on a drawing is 3 cm long. What is<br />
the actual distance?<br />
42) The actual distance between Albany and Atlanta is 206 miles. If the map scale is 1<br />
inch to 20 miles, what is the distance between Albany and Atlanta on the map?<br />
43) Use the tables below to write a direct variation equation, a proportion, and graph<br />
each. (Use your own graph paper)<br />
x 3 6 9 12<br />
y 1 2 3 4
44) If y = ½ x, find y if x = 9.<br />
45) What is the constant of y = 15x .<br />
46) Emily conducted a survey to determine students' favorite ice cream flavor. Of the<br />
students she surveyed, 14 out of 70 preferred cookie dough. If there are 1000 students<br />
in her school, predict how many would prefer cookie dough.<br />
47) Compare and contrast the units of measure for surface area and volume?<br />
48) If a gift box has the length of 4.5 m, width of 3 m, and is 2 m tall, how much cardboard<br />
is needed to create the box?<br />
49) Use the following data to create a box & whisker plot:<br />
Low Temperatures for January<br />
24 22 1 14 9<br />
7 10 9 16 14<br />
6 11 5 8<br />
Identify:<br />
Lower Extreme (Minimum):____<br />
Upper Extreme (Maximum):____<br />
Median:____<br />
Lower Quartile:____<br />
Upper Quartile:_____<br />
Interquartile Range:_____<br />
50) Find the mean absolute deviation for the following roller coaster speeds:<br />
Maximum Speeds<br />
of Roller Coasters (mph)<br />
58 88 40 60<br />
72 66 80 48<br />
What does it indicate for this data?_____________________________________________________<br />
Solve and graph the solution to each inequality.<br />
g<br />
51) 9m > 108<br />
52) x + 10 ≤ 23<br />
53) k − 13 < 42<br />
54) ≥ 8<br />
4<br />
55) Megan bought a scarf for $16.50. She paid with a $20 bill. Write an equation to represent<br />
amount of change, c, she would receive.
56) Morgan paid $180 for n video games. Each game was the same price. Write an<br />
expression that represents the cost of each game.<br />
57) Graph (-7, -3) and (-7, 7) on the coordinate plane<br />
to the right.<br />
58) Reflect both points across the y-axis to form the<br />
vertices of a rectangle.<br />
59) Write the coordinates for the reflections.<br />
60) What is the perimeter and area of the rectangle?<br />
61) Can a decimal or fraction be an integer?<br />
62) It is 87⁰ F in Destin, FL. It is 10⁰ F below zero in Saint Paul, MN. How many degrees<br />
warmer is it in Destin than in Saint Paul? (Use a number line if needed)<br />
63) Evaluate: 5<br />
64) Evaluate: −− 3<br />
65) Order from least to greatest: 12, -4, 0, -6, -20