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Name: ____________________________________ Class: __________
Date: ______________________
6th Grade Semester Exam 1 Review
1. Complete a Venn diagram to show the multiples of 2 and 5. Use the natural numbers between 1 and 25.
a.
What do the numbers in the overlapping region represent?
b.
What do the numbers outside the circles represent?
c.
What are the common multiples of 2 and 5 between 1 and 25?
2. Is 119 a prime or composite number? If it is composite, what prime numbers are factors of 119?
Calculate the sum or difference. Simplify the answer, if possible.
3.
4.
5.
w
2
5
16
4
12w
Name: ____________________________________ Class: __________
Date: ______________________
Calculate each quotient. Show your work. Write your answer in simplest form. Do not leave any answers as
improper fractions.
6.
7.
Write each fraction as a decimal. Round to the nearest thousandth.
8.
9.
Calculate the exact sum or difference for each problem.
10. Rachel put the following items in her shopping cart at the office supply store.
Sticky Notes
$3.27
Dozen Pens
$4.79
3-pack of Lined Pads
$3.89
Spindle of CDs
$9.99
Box of Copy Paper
$38.04
Box of Folders
$5.89
a.
About how much money does Rachel need to buy the supplies in her shopping cart?
b.
The cashier said that Rachel’s order was $55.88. Could the cashier be correct?
c.
If Rachel has only $50, what can she buy from her cart?
11. One lap around the park is 2.7 kilometers. How many kilometers will you run in 15 laps?
12. Neil paid $13.15 for a pumpkin that weighs p pounds. What is the price per pound of the pumpkin?
Name: ____________________________________ Class: __________
Date: ______________________
Estimate each quotient. Then, calculate the exact answer. Round to the nearest thousandth.
13. 6.1  3.2 =
14. 99.3  24.9 =
15. 50 + 2a if a = 2.5
16. The Lakeland Middle School boys’ golf team is made up of seventh and eighth graders. There are 12 seventh
graders and 17 eighth graders on the team.
a.
Write the ratio of seventh graders to eighth graders and the ratio of eighth graders to seventh graders
on the team.
b.
Are the ratios you wrote part-to-part or part-to-whole ratios?
c.
Write the ratio of seventh graders on the team to the total number of team members and the ratio of
eighth graders on the team to the total number of team members.
d.
Are the ratios you wrote part-to-part or part-to-whole ratios?
e.
Which is greater: the ratio of seventh graders to the total number of team members, or the ratio of
eighth graders to the total number of team members? Explain your reasoning.
17. Scale up or scale down each ratio to determine the unknown quantity. State whether you scaled up or scaled
down the given ratio and explain how you found your answers.
a.
b.
c.
d.
18. One hundred middle school students take a survey that asks them about how they spend their time between
the end of school and dinner time. Complete the table by representing the survey results as a fraction, decimal,
and percent. Make sure your fractions are in simplest form.
Name: ____________________________________ Class: __________
Fraction
Date: ______________________
Decimal
Percent
55 out of 100 students said they spend
some time playing sports.
20 out of 100 students said they spend
some time playing video games.
72 out of 100 students said they spend
some of the time doing homework.
68 out of 100 students said they spend
some time talking with their friends.
19. What is 15% of each given restaurant check? Explain how you calculated your answer. Round to the nearest
hundredth, if necessary.
a.
$28.50
b.
$50.82
20. The 6th grade class was asked the question, “What kind of movie do you like best?” The results are shown.
What percent of the 6th grade class preferred each kind of movie? Round your answers to the nearest whole
percent.
Kind of Movie
Number of Students
Comedy
51
Science fiction
47
Drama
38
Action/Adventure
55
Animation
49
21. z  8.75 = 15.49
22. Create a factor tree to write the prime factorization of 48.
Percent
Name: ____________________________________ Class: __________
23. Shade in the model to show 3 of the whole.
8
24. Write a fraction that is close to the benchmark fraction of 1 .
2
Solve the following:
8 + (-6) =
-5 + (-10) =
3 – (-7) =
-21 – (14) =
-18 x 3 =
-4 x (-8) =
12 ÷ (-6) =
-24 ÷ 3 =
Order the following rational numbers least to greatest.
Date: ______________________