# 6th Grade Math 2009

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```					                6th Grade Math 2009
Data Analysis and Probability : Benchmark A 4; Benchmark G 27;
Benchmark K 7
Geometry and Spatial Sense: Benchmark D 35; Benchmark F 9;
Benchmark H 24; Benchmark I 30
Measurement: Benchmark C 5; Benchmark G 16; Benchmark F 2, 33
Number Sense: Benchmark G 25; Benchmark I 11, 37, 40
Patterns, Functions and Algebra: Benchmark H 8; Benchmark J 23;
Benchmark K 32, 41

Not slated for Public Release as of 7/1/09:
Questions: 1, 3, 6, 10, 12-15, 17-22, 26, 28, 29,
31, 34, 36, 38, 39, 42-45

To print a PDF of the OAT Test, go to
www.ode.state.oh.us
2. Joann’s garden plot is 5 feet by 6 feet. Joann decides to
double the length and the width of the garden. How does
the perimeter of her garden change?
A. The perimeter is one and a half times
larger than the perimeter of the original
garden.
B. The perimeter is two times larger than
the perimeter of the original garden.
C. The perimeter is three times larger than
0% 0% 0% 0%
the perimeter of the original garden.

..
D. The perimeter is four times larger than

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the perimeter of the original garden.
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index
4. The line graph shows
Eric’s height from age 5 to
age 13. How many inches
did Eric grow from age 7 to
age 10?

0%      A. 3
0%      B. 7
0%      C. 49
0%      D. 56
index
5. Three friends ordered the pizza
shown. The pizza has a total area
of 254.34 square inches and is
divided into equal sections. What
is the area of the portion covered
with mushrooms?
0%
A. 84.78 square inches
B. 127.17 square inches
C. 508.68 square inches
D. 763.02 square inches
A. 84.78 square i...   B. 127.17 square ...
C. 508.68 square ...   D. 763.02 square ...
index
7. Ina is playing a game with a cube that is labeled “win” on
four sides and “lose” on two sides. She expects to “win” of
the time. She rolls the cube six times and records the
results as shown. Which statement best explains why the
results of her experiment did not match her expectations?

0%
A. She should have had another person
roll the cube half the time.
B. She really should not win of the time.
C. She did not roll the cube enough times.
D. She rolled the cube too many times.
A. She sho...   B. She rea...   C. She did...   D. She rol...

index
8. What is the value of x when 3x + 11 = 20?

A. 3
B. 20/3
C. 9
D. 3/13
.3
0%         0%       0%       0%

.9
3

3
0/

/1
A

C
.2

.3
B

D
index
9. The lengths of the sides of a triangle are 3
inches, 4 inches and 5 inches. Which are the side
lengths of a similar triangle?

0%     A. 6 inches, 7 inches, 8 inches
0%     B. 6 inches, 8 inches, 10 inches
0%     C. 9 inches, 12 inches, 20 inches
0%     D. 9 inches, 16 inches, 25 inches

index
11. Joan sees that
shampoo,
toothpaste and
hair gel are on
sale at the store.
The signs show the regular price and the discount.
Determine the amount that Joan will save when she buys
one bottle of shampoo, one tube of toothpaste and one
container of hair gel at the sale prices. Show or explain
how much she will save. (4 points)
Write the answer on separate paper.

Scoring Guidelines
index
16. Brian has two rectangular gardens that have the
same area but different perimeters. Each garden
has an area of 48 square feet. Draw two different
rectangles with an area of 48 square feet, but
with different perimeters. Then, determine which of
your designs will require less fencing. (2 points)

Write the answer on separate paper.

Scoring Guidelines
index
23. Lawrence knows that as the steepness of a hill
increases, his running speed decreases. Which graph
shows this relationship?
1.              2.

0%

3.             4.

Picture Choice 1   Picture Choice 2
Picture Choice 3   Picture Choice 4

index
24. Figure MNOP is shown on the
grid. Which grid shows the result of
translating the figure two units to the
right and one unit up?
1.              2.

3.             4.

0%   0%   0%   0%
1

2

3

4
index
25. At Stone Middle School, the band has a concert
every 4 weeks and the drama club has a play
every 6 weeks. Both groups performed during the
first week of school. When is the next time the band
and the drama club will perform in the same week?

A. in 2 weeks
B. in 10 weeks
C. in 12 weeks
D. in 24 weeks                       0%           0%            0%         0%
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index
27. The table shows the elevations (heights above sea level)
and average high temperatures for five cities in California
during the month of February. What conclusion about the
average high temperature can be drawn from these data?

0% A. The elevation of the city is unrelated to the temperature.
0% B. The lower the elevation of the city, the lower the temperature.
0% C. The greater the elevation of the city, the lower the temperature.
0% D. The greater the elevation of the city, the greater the temperature.

index
30. A staircase at Summerville Mall
is designed as shown. Which figure
shows what the staircase would look
like when viewed from above?
1.          2.

0%

3.         4.

Picture Choice 1   Picture Choice 2
Picture Choice 3   Picture Choice 4
index
32. Which value for f makes the inequality 7f – 9 >12
true?

A. when f is –3
0%
B. when f is 1
0%
C. when f is 3
0%
D. when f is 5
0%

index
33. Winn planned to build
a rectangular dog pen
with the dimensions
shown. He bought all the fencing but decided the pen was
too small for his dog. What could be the dimensions of a
new rectangular pen that has more space but uses the same
amount of fencing?
A. 1 feet × 9 feet                                       0%

B. 4 feet × 4 feet
C. 6 feet × 4 feet
D. 10 feet × 10 feet
A. 1 feet ...   B. 4 feet ...   C. 6 feet ...   D. 10 feet...

index
35. Which angle measures are those
of an acute triangle?

A.   95⁰, 40⁰, 45⁰
B.   75⁰, 15⁰, 90⁰
C.   65⁰, 80⁰, 35⁰
D.   100⁰, 40⁰, 40⁰

index
37. The product of
0.5 and 1.2 is shown
in the grid.
Based on the grid,
what is the product
of 0.5 and 1.2?

0%     A. 0.60
0%     B. 1.00
0%     C. 1.20
0%     D. 1.70

index
40. A pancake recipe uses 4 eggs to make 14
pancakes. Jeremy has 10 eggs. What is the greatest
number of pancakes that Jeremy can make?

0%
A. 14
B. 18
C. 35
D. 56
A. 14   B. 18   C. 35   D. 56

index
41. The graph shows the
relationship between gallons
of gas left in the gas tank of a
truck and the number of
miles driven. Determine the
number of miles per gallon
the truck gets. Explain how
you found the number of
miles per gallon. (2 points)

Write the answer on separate paper.
Scoring Guidelines
index
Question 11 – Scoring Guidelines
Points                                Student Response
4 point The focus of the task is performing computations with fractions and
decimals to solve problems. The response provides the correct savings
amount with adequate support.
Sample response:
• Sale Price: Shampoo : 7.50 ×⅓ = 2.50Toothpaste: 4.50 × ½ = 2.25Hair
gel: 6.00 × 0.25 = 1.50
• Regular Price: 7.50 + 4.50 + 6.00 = \$18.00Sale Price: Shampoo: 7.50
×⅔= 5.00Toothpaste: 4.50 ×½ = 2.25Hair gel: 6.00 × .75 = 4.50Total Sale
Price: 5.00 + 2.25 + 4.50 = \$11.75 Saved:18.00 – 11.75 = \$6.25
• Shampoo: 7.50 x 0.33 = \$2.48Toothpaste: 4.50 × 0.5 = 2.25Hair gel: 6.00
× 0.25 = 1.50 Savings: 2.48 + 2.25 + 1.50 = \$6.23
3 point The response provides adequate evidence of performing computations with
fractions and decimals to solve problems. The response provides work with
a minor error or flaw in the computation or explanation.
Sample response:
• Show the correct process for finding all of the new prices but with a
computational error which causes an incorrect amount saved.
• Provide the correct final answer with a vague explanation or partial work.
Q. 11 Continued
index
Question 11 – Scoring Continued
Points                                      Student Response
2 point The response provides partial evidence of performing computations with fractions and
decimals to solve problems. The response provides work with minor errors or flaws OR
vague explanation.
Sample response:
• Provide the correct computations for finding the sale price but does not find the
amount(s) saved.
• Provide the correct computation or show the correct process for finding the sale price
or savings for two of the three products. The answer may or may not provide the
process for determining the amount saved.
• Provide the correct final answer without work or explanation.
1 point The response provides minimal evidence of performing computations with fractions and
decimals to solve problems. The response will have multiple errors or flaws AND a
vague explanation.
Sample response:
• Provide one correct computation for finding the correct sale price of an item.
• Provide one correct computation for finding the amount of savings for an item.
0 point The response provides inadequate evidence of performing computations with fractions
and decimals to solve problems. The response provides major flaws in explanations or
irrelevant information.
Sample response:
• Provide the total of the regular priced items.
• Be blank or make unrelated statements.
• Recopy information provided in the stem.                                          index
Question 16 – Scoring Guidelines
Points                           Student Response
2 point The focus of this task is drawing two rectangles with the same
area, but different perimeters. The response provides two
rectangles that have the same area and indicates which garden
would require less fencing.
Sample response:
• Garden 1: 2 x 24 = 48 square feet
• Garden 2: 8 x 6 = 48 square feet
• Garden 1's Fence: 2 + 24 + 2 + 24 =
52 feet
• Garden 2's Fence: 8 + 6 + 8 + 6 = 28 feet
• Garden 2 (8 x 6) requires less fencing.
NOTE: Other combinations of dimensions are possible to arrive at
48 square feet of area and all are acceptable.

Q. 16 Continued
index
Question 16 – Scoring Continued
Points                        Student Response
1 point The response shows partial evidence of drawing two rectangles
with the same area, but different perimeters; however, the
solution may be incomplete or slightly flawed.
Sample response:
• Provide two rectangles with the correct area, but without
indicating which garden requires less fencing.
• Only provide that the rectangle with dimensions closest to a
square would require the least fencing.
0 point The response provides inadequate evidence of drawing two
rectangles with the same area, but different perimeters. The
response provides an explanation with major flaws and errors of
reasoning.
Sample response:
• Provide two congruent rectangles.
• Restate the information provided in the item.
• Be blank or give irrelevant information

index
Question 41- Scoring Guidelines
Points                                     Student Response
2 point The focus of this task is interpreting graphs that represent the relationship between
two variables. The response provides an accurate number of miles per gallon with
an adequate explanation.
Sample response:
• The truck gets 10 miles per 1 gallon because every 10 miles the number of gallons
of gas decreases by 1 gallon.
• The truck gets 20 miles per every 2 gallons of gas. So, the truck gets 10 miles per
1 gallon.
1 point The response shows partial evidence of interpreting graphs that represent the
relationship between two variables; however, the solution may be incomplete or
slightly flawed.
Sample response:
• State the correct number of miles per gallon but fail to provide an adequate
explanation.
• State the correct number of miles for every 2 gallons with an adequate explanation
but fail to provide miles per gallon.
0 point The response provides inadequate evidence of interpreting graphs that represent the
relationship between two variables. The response provides an explanation with
major flaws and errors of reasoning.
Sample response:
• State 60 miles or 18 gallons.
• Restate the information provided in the item.
index
• Be blank or give irrelevant information.

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