Grade 8 Math OAT Authentic Questions
Number, Number Sense and Operations Standard
6
1. A company’s profit of $1.71 10 will be shared equally by its 3,800 employees.
How much money will each employee receive?
A. $4.5 ⋅ 10
1
B. $4.5 ⋅ 10
2
C. $4.5 ⋅ 10
3
D. $4.5 ⋅ 10
5
2. A store sold 28 boxes of juice from a case containing 48 boxes. Approximately what percent
of the case of juice has been sold?
A. 20%
B. 30%
C. 40%
D. 60%
3. Which subset of the real numbers contains 5 ?
A. integers
B. whole numbers
C. rational numbers
D. irrational numbers
4. In a number game, Rick was supposed to find the square root of a number. Instead, he
squared the number and said “16.”
A. 2
B. 4
C. 8
D. 16
Updated August 2007
5. Each student brought 3, 4 or 5 pieces of candy to class. There are 17 students in the class.
Which number is NOT a reasonable total for the number of pieces of candy the students
brought?
A. 45
B. 55
C. 65
D. 75
6.
Which integer is a perfect square?
A. 125
B. 200
C. 225
D. 300
7. Cheryl is a member of the basketball team. She made 44 out of 50 foul shots last year.
Cheryl has made 18 out of 20 foul shots so far this year.
On a separate piece of paper, write what Cheryl could say to convince her coach that she is
shooting foul shots better this year. Use the data to support your answer.
8. A light year is defined as approximately 5,880,000,000,000 miles. Which distance is the
same as a light year?
13
A. 5.88 ⋅ 10 miles
12
B. 5.88 ⋅ 10 miles
11
C. 5.88 ⋅ 10 miles
10
D. 5.88 ⋅ 10 miles
9. Which statement is true about the quotient when 12 is divided by a fraction greater than
zero and less than one?
A. The quotient is undefined.
B. The quotient is equal to 12.
C. The quotient is less than 12.
D. The quotient is greater than 12.
2
10 Simplify: 5 • 5
–2
A. 0
B. 1
C. 5
D. 25
Updated August 2007
11. Which statement is correct?
A. All integers are rational numbers.
B. All irrational numbers are whole numbers.
C. A real number must be a rational number.
D. A repeating decimal is an irrational number.
12. Jill is solving the equation 7n – 6 = 15. The result of her first step is 7n = 21. What operation
did Jill use in her first step?
A. add 6 to each side
B. subtract 6 from each side
C. multiply both sides by 6
D. divide both sides by 6
13. A store is having a clearance sale on pianos that regularly sell for $3,900 each. Beginning
on July 5th, the price of these pianos will be reduced by 20%. Each morning after July 5th,
the remaining pianos will be reduced by an additional 20%. This price reduction will continue
until all the pianos are sold. Mr. Thomas can only spend $2,200 for a piano.
On a separate piece of paper, determine the first day that Mr. Thomas can buy one of the
pianos with the money he has and determine the price he paid for the piano. Show your
work or explain how you determined your answer.
14. Rob would like to buy a $20 CD that is on sale for 15% off. He estimates that he will save at
least $4.00.
On a separate piece of paper, determine whether or not Rob’s estimate is reasonable. Show
or explain how you decided if Rob’s estimate is reasonable. (2 points)
15. Evaluate: (23) (3–2)
A. –36
6
B. – 6
8
C. 9
D. 72
Updated August 2007
16. The 300 is between which two consecutive integers?
A. 15 and 16
B. 16 and 17
C. 17 and 18
D. 18 and 19
17. In 1998, the Balboa Movie Company spent $3.5 ⋅ 104 to make one movie. In 2000, the same
company spent $4.51 ⋅ 105 to make one movie. What is the difference in the cost of making
these movies?
A. $4.16 ⋅ 105
B. $4.16 ⋅ 104
C. $1.01 ⋅ 101
D. $1.01 ⋅ 10–1
18. The product of a number and seven is 322. Which method can be used to find the value of
this number?
A. Multiply the number by 322.
B. Divide 322 by the number.
C. Multiply the number by 7.
D. Divide 322 by 7.
19. The distance between Earth and the Sun is approximately 150,000,000 kilometers. What is
this distance written in scientific notation?
A. 1.5 × 106
B. 1.5 × 107
C. 1.5 × 108
D. 1.5 × 109
20. The 183 is between which two integers?
A. 12 and 13
B. 13 and 14
C. 45 and 46
D. 91 and 92
Updated August 2007
Grade 8 Math OAT Authentic Questions
Measurement Standard
1. Aqua Water Company purchased a new water tank. The tank is a cylinder with a diameter of
14 feet and a height of 24 feet.
What is the volume of the tank in cubic feet?
A. 168 π cubic feet
B. 336 π cubic feet
C. 1,176 π cubic feet
D. 4,704 π cubic feet
2. The formula used for converting the temperature from Fahrenheit (F ) to Celsius (C) is ºC =
5
9
(ºF – 32). The outside temperature is 80ºF. About what is this temperature in degrees
Celsius?
A. 27ºC
B. 45ºC
C. 80ºC
D. 140ºC
3. Marco is building a model of a square pyramid.
He wants to cover the entire model, including the base, with gray paper. How many square
feet of paper will he need to cover the model?
A. 40 square feet
B. 46 square feet
C. 56 square feet
D. 96 square feet
Updated August 2007
4. A wooden fence was built around a construction site. The wall is 600 feet long and 8 feet
high. Each 12-foot length of the fence has a 2-foot by 2-foot window cut into the wall so
people can watch the construction.
The city council asked the construction company to paint the side of the fence facing the
street. A gallon of paint will cover approximately 250 square feet.
On a separate piece of paper, determine how many gallons of paint are needed to paint one
side of the fence. Show your work to support your answer.
5. Dave wants to estimate the distance from Harrisburg to Jonestown. The distance on the
map is about 13 inches. The scale on the map indicates that 2.5 inches = 6 miles. About
how many miles is it from Harrisburg to Jonestown?
A. 5 miles
B. 15 miles
C. 31 miles
D. 39 miles
6. Three lines intersect as shown.
What is the sum of the measures of angles 1, 2 and 3 in this figure?
A. 450°
B. 360°
C. 270°
D. 180°
7. A cup of water is heated in a pan on the stove. The temperature of the water increased from
22ºC to 35ºC in 20 seconds. At this rate how long would it take the water temperature to
increase from 22ºC to 100ºC?
A. 2 minutes
B. 3 minutes
C. 5 minutes
D. 6 minutes
Updated August 2007
8. While driving in France, Eric sees a sign that says “Paris 61 Kilometers.” About how many
miles is Eric from Paris?
A. 35 miles
B. 65 miles
C. 100 miles
D. 125 miles
9. The figure shown is a regular hexagon.
What is the measure of each interior angle?
A. 60º
B. 100º
C. 120º
D. 150º
10. The first tank shown is half filled with water. The water from this tank is poured into the
second tank, which is empty.
What height will the water reach in the second tank?
A. 4 inches
B. 5.4 inches
C. 6 inches
D. 10.8 inches
Updated August 2007
11. A square pyramid has the dimensions shown.
What is the total surface area of the pyramid?
A. 192 square inches
B. 208 square inches
C. 352 square inches
D. 576 square inches
12. Janna is using a cone-shaped cup to fill a cylindrical container.
The cup has the same height and radius as the container. How many times will she have to
fill the cone-shaped cup to completely fill the cylindrical container?
1
A. 3
B. 1
C. 2
D. 3
13. The dimensions of a piece of aluminum are shown below.
What is the approximate density of this piece of aluminum if its mass is 13.5 grams?
A. 0.37 g/cm3
B. 0.27 g/cm3
C. 1.35 g/cm3
D. 2.70 g/cm3
Updated August 2007
14. Jason is traveling at an average rate of 55 miles per hour. He began driving at 10:30 a.m.
and will travel a total distance of 248 miles. Jason does not make any stops. At what time
should Jason arrive at his destination?
A. 2:00 p.m.
B. 2:30 p.m.
C. 3:00 p.m.
D. 4:30 p.m.
15. Sean found the cylindrical glass shown. He needs to cover the side and the bottom with
green contact paper.
Approximately how many square inches of paper will Sean need if there is no overlap?
A. 75 square inches
B. 87 square inches
C. 100 square inches
D. 201 square inches
16. A cone has a height of 4 inches and a circumference at the base of 12 inches. What is the
approximate volume of the cone?
A. 150 inches
3
B. 200 inches
3
C. 450 inches
3
D. 600 inches
3
17. Sabrina rides her bike 2 miles to school each day. She leaves her house at 7:30 and arrives
at 7:50. What is Sabrina’s average speed in miles per hour?
A. 1 mile per hour
B. 6 miles per hour
C. 10 miles per hour
D. 40 miles per hour
Updated August 2007
18. What is the measure of one interior angle of a regular pentagon?
A. 108º
B. 72º
C. 54º
D. 36º
Updated August 2007
Grade 8 Math OAT Authentic Questions
Data Analysis and Probability Standard
1. The graph shows the number of VCRs and DVD players shipped to distributors in North
America from 1997 to 2002.
In what year did the number of DVD players shipped first exceed 10 million?
A. 1997
B. 1999
C. 2000
D. 2002
2. Sarah has five hats of different colors: red, blue, green, yellow, and orange. How many
different ways can Sarah arrange these hats next to each other on a shelf?
A. 5
B. 10
C. 25
D. 120
Updated August 2007
3. The Hernandez family has a monthly income of $4,500. The Thomas family has a monthly
income of $3,200. The two circle graphs show the monthly budgets of two families.
Which statement is supported by the data in the two graphs?
A. The Thomas family spends more dollars each month on transportation than the
Hernandez family does.
B. The Hernandez family spends more dollars each month on food than the Thomas family
does.
C. Both families spend more dollars on “other” than on transportation.
D. Both families spend the same amount of dollars each month on housing.
4. There are 8 homes for sale near Bell Middle School. The chart below shows the square
footage and cost of each house.
On a separate piece of paper, create a scatter plot that represents the data in the chart. Be
sure to label your axes and create appropriate scales. Use the scatter plot to explain the
relationship that exists between the number of square feet and the cost of the 8 houses.
Use the data to predict the approximate cost of a house that has 6,000 square feet. Use
mathematics to explain or support your prediction.
Updated August 2007
5. A bag contains 4 sour-apple candies and 3 watermelon candies. One piece of candy is
chosen at random and returned to the bag. Then a second piece of candy is chosen at
random. What is the probability that both pieces of candy chosen will be sour-apple?
1
A. 16
12
B. 49
16
C. 49
8
D. 9
6. The box-and-whisker plots show the distribution of weight among dogs in two different pet
stores.
How much greater is the median weight of the dogs in Pet Store 2 than in Pet Store 1?
A. 5
B. 10
C. 15
D. 20
7. The data show the ages of 2 groups of grandparents.
Which statistic has a greater value for Group 1 than Group 2?
A. the mean
B. the median
C. the mode
D. the range
Updated August 2007
8. There are 1000 students in grades 6, 7 and 8 at the Oak Lake Middle School. To determine
which after-school activities are preferred by the students at the school, the student council
decided to survey 20 eighth graders in a first period French class.
On a separate piece of paper, explain whether or not this is an appropriate sampling
technique. (2 points)
9. The scatter plot and a line of best fit show the relationship between the capacity and the
cost of eight refrigerators available at a local appliance store.
Which statement describes the relationship between the cost and the capacity of the
refrigerators?
A. Refrigerators cost about $700.
B. Refrigerators cost about $40 per cubic foot.
C. Refrigerators cost less as their capacity increases.
D. Refrigerators that cost more than $800 have the smallest capacity.
10. The temperature of a community pool was measured each morning. The daily readings
were 82°F, 79°F, 80°F, and 78°F. The temperature on the fifth day was 99°F. Which statistic
was affected the most by the 5th day’s temperature?
A. the lower quartile
B. the mean of the temperatures
C. the mode of the temperatures
D. the median of the temperatures
Updated August 2007
11. The 2 on the spinner shown will be replaced with a 7.
How does the probability of the spinner landing on an even number change?
1
A. It increases by 6 .
6
B. It decreases by 1 .
1
C. It increases by 3 .
1
D. It decreases by 3 .
12. Zack conducted a survey in his school. He asked each student to choose his or her favorite
subject. Zack wants to create a graph showing the percentage of students who chose each
subject as their favorite.
Which type of graph would best represent these data?
A. stem-and-leaf plot
B. circle graph
C. line graph
D. scatterplot
13. A biologist is collecting data about butterflies. Which data represents discrete data?
A. the age of a butterfly over its lifespan
B. the weight of a butterfly over its lifespan
C. the temperature over a day in the case in which the butterflies are stored
D. the number of butterflies collected each day over a month
Updated August 2007
14. The yearly salaries for each of six employees of a small business are shown in the table.
On a separate piece of paper, tell whether you would choose the mean or the median to
describe the salary of these six people. Use mathematics to explain why you made this
choice. (2 points)
15. Kyle spins each spinner once and multiplies the two numbers he lands on.
What is a reasonable prediction for what might happen?
A. The most likely product is 12.
B. The most likely product is 10.
C. The product cannot be less than 4.
D. The product cannot be greater than 18.
Updated August 2007
16. Which box-and-whisker plot represents a situation where 75% of the data is 200 or less?
17. The chart shows the number of cars sold per week at a car dealership during the month of
June.
How should the data be displayed to make the most convincing argument that sales
improved each week?
A. a bar graph of the total car sales per week
B. a box-and-whisker plot of Sonny’s sales per week
C. a line graph of each salesperson’s sales per week
D. a circle graph showing how many cars each person sold during the month
Updated August 2007
18. The daily noon temperatures for two cities were collected over a one-month period. The
data were used to create the box-and-whisker plots shown.
Which statement is supported by the data?
A. Sunnyville has the lowest noon temperature.
B. Marytown has a greater interquartile range.
C. The median temperature is the same for both towns.
D. Marytown has a greater range of noon temperatures.
Updated August 2007
Grade 8 Math OAT Authentic Questions
Patterns, Functions, & Algebra Standard
1. The table shows the relationship between the number of doughnuts (d), and the total cost
(c) in dollars for an order of doughnuts.
Which equation shows the total cost for an order of doughnuts?
A. c = 0.15d + .25
B. c = 0.25d + .15
C. c = 0.28d
D. c = 0.40d
03-05 B – C
x
2. Which is the value of x when 3 + 5 = 15?
A. x = 30
B. x = 40
C. x = 50
D. x = 60
3. Will plans to buy at least 10, and possibly more, new CDs and is trying to decide between
two different CD offers. CD-Land charges $40 to become a member of a frequent buyers
club and $9 for each CD you buy. MUSICVILLE has no membership fee and charges $12
for each CD you buy.
On a separate piece of paper, create and label a double line graph that shows the cost of 1
to 20 CDs for each of the two offers. Explain how Will can use this graph to decide which
offer to accept. (2 points)
Updated August 2007
2
4. The graph of y = x – 9 is shown.
2
For what values of x does x – 9 = 0?
A. x = 2 and x = –2
B. x = 3 and x = –3
C. x = 4.5 and x = 0
D. x = –9 and x = 0
5. The first four steps in a pattern are shown:
On a separate piece of paper, write an equation or a rule that can be used to find the
number of x’s in any step of the pattern. Use your equation or rule to find the number of the
x’s for step 50. (2 points)
Updated August 2007
6. The graph of an equation is shown on the coordinate plane.
Which table of values represents coordinate points that lie on the line?
7. Which graph represents a linear relationship?
Updated August 2007
8. The line segment AB is shown on the coordinate system.
What is the slope of AB?
A.
B.
C.
D.
2
7
–
–
7
2
2
7
7
2
9. Which equation represents a nonlinear function?
A. y = x
B. y = 2x
C. y = x
2
D. y = x + 2
10. What is the slope of the line containing the points (–2, 5) and (1, –7)?
A. – 4
B. – 2
C. 2
D. 4
Updated August 2007
11. The graph shows the change in the amount of water in an uncovered beaker over several
days.
What information does the y-intercept provide?
A. The amount of water in the beaker decreased by 40 mL.
B. The water was gone by the eighth day.
C. The change in the amount of water over time has a negative slope.
D. The water level started at 40 mL.
12. The graph represents the equation y = x + 3.
How would the graph change if the constant were changed from 3 to 5?
A. The line will shift up 2 units.
B. The line will shift down 2 units.
C. The line will be steeper.
D. The line will change direction.
Updated August 2007
13. What is the slope of the line passing through the points (1, 3) and (5, 0)?
4
A. – 3
3
B. –
4
3
C.
4
4
D. 3
14. The table shows the flow rate in gallons per minute as the valve on a fire hydrant is opened.
On a separate piece of paper, write an equation and construct a graph that relates the
number of revolutions of the valve handle to the flow rate in gallons/minute. Describe how
the slope of the graph will change when a blockage reduces the flow rate by half. (4 points)
15. What is the value of x when 3x < –2x + 15 ?
A. x > 3
B. x < 3
C. x < 15
D. x > 15
16. The County Fair charges a $3 entrance fee. The cost of each ride is $2.
Which equation represents the cost (y) of getting into the fair and going on x number of
rides?
A. y = 3 + 2 + x
B. y = (3 + 2)x
C. y = 3 + 2x
D. y = 3x + 2
Updated August 2007
17. Which equation represents a direct variation?
A. y = 5x
5
B. y = x
C. y = 5
D. y = 5 – x
18. Two points (–1, 1) and (3, –2) are graphed on a coordinate plane.
What is the shortest distance between the points?
A. 3
B. 4
C. 5
D. 7
19. Which expression represents the nth term in the sequence 1, 3, 5, 7, 9, n . . . ?
A. n – 2
B. 2n2 – 1
C. 2n –1
D. 2n –1
20. The table shows the relationship between the number of minutes and the cost of a phone
call.
Which describes the relationship between the number of minutes and the cost of a phone
call?
A. The cost of a phone call is $0.15 per minute after the first 25 minutes.
B. The cost of a phone call is $0.03 per minute.
C. The cost of a phone call is $0.05 per minute after the first 15 minutes.
D. The cost of a phone call is $1.00 per 25 minutes.
Updated August 2007
Grade 8 Math OAT Authentic Questions
Geometry & Spatial Sense Standard
1. Three vertices of a trapezoid are located at points (2, 3), (–2, –2) and (5, –2).
Which point could represent the fourth vertex of the figure?
A. (5, 0)
B. (5, 4)
C. (–1, 3)
D. (–1, 5)
2. Jason constructed the figure shown.
He knows ∆ ERS is similar to ∆ EFG and that RS | | FG.
Jason claims ERS ≅ EFG.
On a separate piece of paper, identify two geometric properties that can be used to justify
Jason’s claim. (2 points)
Updated August 2007
3.
∆ PQR is similar to ∆ XYZ.
What is the perimeter of ∆ XYZ?
A. 21 cm
B. 63 cm
C. 105 cm
D. 126 cm
4. Ray found the paper cut-out shown.
Which 3-dimensional object is formed when the cut-out is assembled?
A. cone
B. cylinder
C. prism
D. sphere
5. Circle A has a radius that is twice the length of the radius of Circle B. Which is an accurate
statement about the relationship of the areas of Circles A and B?
A. The area of Circle A is four times the area of Circle B.
B. The area of Circle A is twice the area of Circle B.
C. The area of Circle A is one-half the area of Circle B.
D. The area of Circle A is one-fourth the area of Circle B.
Updated August 2007
6. In the figure, lines j and k are parallel.
Which angle is congruent to ∠ 1?
A. ∠ 2
B. ∠ 3
C. ∠ 4
D. ∠ 5
7. The parallelogram shown is translated 4 units to the left and 2 units down.
Which property will remain the same?
A. length of the sides
B. coordinates of the vertices
C. coordinates of the y-intercept
D. distance from the vertices to the origin
Updated August 2007
8. In the figures, m ∠ PQR = m ∠ EFD.
On separate piece of paper, identify what else must be true about the sides or the angles of
the triangle in order for ∠ PQR and ∠ EFD to be similar triangles. Provide specific examples
for these two triangles. (2 points) 03-05 SA – B
9. In the diagram below, line m is parallel to line n.
What is the measure of ∠ PTR?
A. 72°
B. 76°
C. 108°
D. 118°
10. Right triangle XYZ and points J and K are shown below.
Triangle XYZ is similar to triangle JKL. What could be the location of point L so that triangle
JKL is similar to triangle XYZ?
A. (–4, 4)
B. (–4, 1)
C. (–2, 2)
D. (–2, 0)
Updated August 2007
11. What is the sum of the measures of ∠ K and ∠ L?
A. 47°
B. 94°
C. 133°
D. 227°
12. Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
A. 30°
B. 60°
C. 150°
D. 120°
Updated August 2007
13. Which illustration represents the net of a cylinder?
14. A flag is drawn on a coordinate plane.
On a separate piece of paper, sketch this flag on a coordinate plane. Then rotate the flag
180º about the origin and sketch the flag in its new position. (2 points)
Updated August 2007
15. Triangle XYZ is shown.
Angles X and Z are congruent. Which statement is always true?
A. m ∠ Y = 90°
B. YZ ≅ ZX
C. ZX > XY
D. XY ≅ YZ
16. Rectangle PQRS is shown on the coordinate plane.
On a separate piece of paper, sketch rectangle ABCD centered at the origin to represent a
dilation of rectangle PQRS by a scale factor of 1.5.
Then, state one characteristic of rectangle PQRS that does not change as a result of the
dilation.
Updated August 2007
17. A map of downtown Centerville shows North Street parallel to Canal Street.
Main Street is perpendicular to both North and Canal streets. The angle between Central
Avenue and Main Street is 45º.
What is the measure of angle X?
A. 45º
B. 120º
C. 135º
D. 150º
Updated August 2007
Updated August 2007
Grade 8 Math OAT Authentic Questions
Answer Key
Question
Answer
No.
Type
Content Standard
Content
Standard
Benchkmark(s)
I
G
B
H
G
H
G
A
F
E
B
C
G
G
I
H
I
C
A
H
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2006
March 2006
March 2006
March 2006
Half-Length Practice
Half-Length Practice
Half-Length Practice
Half-Length Practice
May 2007
May 2007
May 2007
Test Date
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
B
D
D
A
A
C
S
B
D
B
A
A
S
S
C
C
A
D
C
B
MC
MC
MC
MC
MC
MC
SA
SA
MC
MC
MC
MC
SA
SA
MC
MC
MC
MC
MC
MC
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
Number, Number Sense, and Operations
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
C
A
C
S
C
B
A
A
C
B
B
D
D
C
B
A
B
A
MC
MC
MC
SA
MC
MC
MC
MC
ER
MC
MC
MC
MC
MC
MC
MC
MC
MC
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
Measurement
B
D
C
E
D
E
D
D
E
B
B
B
A
F
C
C
F
E
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2006
March 2006
March 2006
March 2006
Half-Length Practice
Half-Length Practice
Half-Length Practice
Half-Length Practice
May 2007
May 2007
May 2007
1
C
MC
Data Analysis and Probability
A
March 2005
Please refer to the specific test answer key for all extended responss and short answer scoring rubrics.
Grade 8 Math OAT Authentic Questions
Answer Key
Question
Answer
No.
Type
Content Standard
Content
Standard
Benchkmark(s)
H
F
F;A
J
A;D
D
E
F
C
K
B
B
C
I
A
B
D
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2006
March 2006
March 2006
March 2006
Half-Length Practice
Half-Length Practice
Half-Length Practice
Half-Length Practice
May 2007
May 2007
May 2007
Test Date
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
D
B
E
C
B
A
S
B
B
B
B
D
S
B
D
A
B
MC
MC
ER
MC
MC
SA
SA
MC
MC
MC
MC
MC
SA
MC
MC
MC
MC
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
Data Analysis and Probability
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
B
A
S
B
S
A
C
D
C
A
D
A
B
E
B
C
A
C
C
C
MC
MC
SA
MC
SA
MC
MC
MC
MC
MC
MC
SA
MC
ER
MC
MC
MC
MC
MC
MC
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
C
F
H
G
A
C
B
J
B
J
E
E
J
E
F
D
I
J
A
C
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2005
March 2006
March 2006
March 2006
March 2006
Half-Length Practice
Half-Length Practice
Half-Length Practice
May 2007
May 2007
May 2007
May 2007
May 2007
1
2
C
S
MC
SA
Geometry and Spatial Sense
Geometry and Spatial Sense
D
B
March 2005
March 2005
Please refer to the specific test answer key for all extended responss and short answer scoring rubrics.
Grade 8 Math OAT Authentic Questions
Answer Key
Question
Answer
No.
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
D
A
A
B
A
S
C
B
B
B
D
S
D
S
C
Type
MC
MC
MC
MC
MC
SA
MC
MC
MC
MC
MC
SA
MC
SA
MC
Content Standard
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Geometry and Spatial Sense
Content
Standard
Benchkmark(s)
B
E
H
C
F
B
C
D
C
B
E
F
A
F
C
Test Date
March 2005
March 2005
March 2005
March 2005
March 2005
March 2006
March 2006
March 2006
Half-Length Practice
Half-Length Practice
Half-Length Practice
Half-Length Practice
May 2007
May 2007
May 2007
Please refer to the specific test answer key for all extended responss and short answer scoring rubrics.