Practice Exam 2
1. If the hearts shown represent only of the chocolate hearts you gave away on Valentine's
Day, how many chocolate hearts did you give away in all?
A)
B)
C)
D)
E)
8
28
30
50
None of A–D
2. Use drawings with rectangles to show that
3. Write a story problem in which
quantities.
4.
is treated as a part-whole fraction, with discrete
which one or ones of the following?
Explain.
5. A child says, "My teacher says to put = between and , but I think
How might the child be thinking? What would you do next?
6. Write the simplest fraction form for each:
7. Put these in order, smallest to largest, using the symbols <, >, and =
15
19
300
400
11
16
300
401
3
8
6
8
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is bigger."
8. Fill in the blank cells in the table below so that the numbers in each row are equivalent to
the given one:
9. What is the exact decimal equivalent of
A)
B)
10. What is the fraction equivalent of
A) 0.651
B) 0.44444...
11. What is the percent equivalent of the following?
A)
B) 0.00035
12. Circle each fraction that has a terminating decimal, without calculating the decimal.
13. A) Write
as a fraction.
B) Write 7.453 as a fraction.
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14. As a fraction, 1.4 =
A) 1
B)
C)
D)
E)
4
7
5
14
100
41
10
None of A–D
15. Write each of the following in the
explain why not.
A) 9.6534 = _________
form if it is possible. If it is not possible,
B) 96.65
= _________
16. Give three decimals between 0.301 and 0.302. If it is not possible, explain why not.
17. Use number sense to order these fractions and decimals from smallest to largest.
18. A) What are the “rational” numbers?
B) How are they different from the “irrational” numbers?
19. As a decimal, 1.775% is
A) 0.01775.
B) 0.1775.
C) 1.775.
D) 17.75.
E) None of A–D
20. Using benchmarks, find an estimate of each of the following and explain how you did it.
A) The sum of
and .
B)
C)
D)
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21. 1 7  2 5  3 5  7
12
11
12 13
is about
A) 8 .
B) 8.
C) 7 .
D) 6 .
E) None of A–D
22. For each of the following, find a fraction between the two given fractions and show how
you found it. Do not use decimal numbers or common denominators.
23. Three children took a hike, carrying one heavy backpack. One child carried the
backpack for of the hike, and a second carried it for of the hike. For what part of the
hike did the third child carry the backpack? Which child carried the backpack for the
greatest part of the hike?
24. Which of A–E would best locate the point for 0.89  n on the number line (n positive)?
A
B
E
C D
•
•
•
•
65%
n
of n
25. Which of A–E would best locate the point for n ÷ 0.89 on the number line (n positive)?
A
B
E
C D
•
•
•
•
65%
n
of n
26. Draw a picture that represents
A)
B)
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27. Use these circles to show each division. For each part tell what question is being asked.
Tell what your answer is in each case, and show how you obtained it.
A)
B)
28. The stage-coach robbers have a 12-mile head start on the sheriff's posse. But the sheriff's
posse has faster horses, so the posse catches up by mile every hour. How many hours
will it take the posse to catch the robbers? Show your work.
29. What calculation would solve this story problem?
Cheese was $2.55 a pound. A woman bought a 0.85 pound package of the cheese.
did she pay?
A) 2.55 + 0.85
B) 2.55 – 0.85
C) 0.85 x 2.55
D) 2.55 ÷ 0.85
30. What calculation would solve this story problem?
George had of a pie. He ate of what he had.
A)
How much
What part of a whole pie did he eat?
B)
C)
D)
E)
None of A–D
31. What calculation would solve this story problem?
She paid $4.80 for pound of candy. How much does the candy cost, per pound?
A) (4.80 ÷ 4)  4
B) 4.80 
C) 4.80 ÷
D) 4.80 + 0.75
E) None of A–D
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32. Tuna costs 70¢ a can at Store X and 80¢ a can at Store Y. How much will eight cans of
tuna cost if of the cans are bought at Store X and the rest at Store Y?
A) $1.40
B) $4.80
C) $5.60
D) $6.20
E) None of A–D
33. A farmer keeps 40% of his land uncultivated. Two-thirds of the cultivated portion is
planted with corn. What fraction of the entire land is planted with corn? Make a drawing
and show your work clearly.
34. Alex ate of a pizza. Tandy ate of what was left. Finally, Tabby ate
left. How much of the whole pizza did Tabby eat?
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of what was