2012 OAA Review Stations

2012 OAA Review Stations

7th Grade Math

Station #3

Number Sense

2. Find the value of the expression:

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2.4 2.8 3.6 5.4

1. 2.42. 2.83. 3.64. 5.4

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3. A microwave oven costs $92. It is on sale for 15% off. Which proportion can be used to

find the final price (n) of the microwave oven?

0%0%0%0%

85/100 = n/92 n/0.15 = 92 92/100 = 85/100 92/n = 15/100

1. 85/100 = n/922. n/0.15 = 923. 92/100 = 85/1004. 92/n = 15/100

index

4. Which statement is always true about the sum of a negative integer and a positive integer?

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0%

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0%1. The sum is zero.

2. The sum is positive.

3. The sum is negative.

4. The sum can be positive, negative or zero.

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5. Jim divided –2 by an integer and his result was between –1 and 0. Which integer could

have been the divisor?

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0%

0%

0% 1. -42. -13. 14. 4

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6. Rani has determined that 10 beans weigh 0.25 ounces. About how many beans are

there in a bag that weighs 12 ounces?

48 120

400

489

0% 0%0%0%

1. 48 2. 1203. 4004. 489

index

7. An airline has 400 flights a day. Of these, 80% depart before 6 p.m. Flights leaving

before 6 p.m. depart on schedule ¾ of the time. How many flights leaving before 6 p.m.

depart on schedule each day?

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155 240 300 320

1. 1552. 2403. 3004. 320

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8. There are 29 bacteria in a sample. How many bacteria is this?

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18 256 512 1,024

1. 182. 2563. 5124. 1,024

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9. Jackson has a board that is 6 ½ feet long. He needs a board that is ¼ of this length.

What is the length of the board that Jackson needs?

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1 5/8 feet 2 1/6 feet 2 ½ feet 6 ¼ feet

1. 1 5/8 feet2. 2 1/6 feet3. 2 ½ feet4. 6 ¼ feet

index

10. During a quality control check, a factory found that 5% of the parts it produces are

defective. The factory recently completed an order for 144,000 parts. Approximately how

many of the parts from the order may be defective?

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1. 2,800 2. 7,200 3. 28,000 4. 72,000

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Station #4

Measurement

1. At 7:00 a.m. the temperature was 55o. The temperature was 72ºF at 3:00 p.m. Which is the most appropriate way to describe the average

rate of change in temperature?

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Degrees per hour Degrees per minute Hours per degree Minutes per degree

1. Degrees per hour2. Degrees per

minute3. Hours per degree4. Minutes per

degree

Index

2. Aaron is tiling a floor. The floor measures 6 feet by 5 feet. Aaron is using square tiles

with sides that measure 3 inches. How many tiles will it take to cover the entire floor?

30 til

es

90 til

es

270 t

iles

480 t

iles

0% 0%0%0%

1. 30 tiles 2. 90 tiles 3. 270 tiles 4. 480 tiles

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3. A circle is cut out of a square as shown. What is the

approximate area of the shaded portion of the figure?

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22 square feet 37 square feet 69 square feet 85 square feet

1. 22 square feet 2. 37 square feet 3. 69 square feet 4. 85 square feet

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4. Tina created a display as shown below. What is the total area of her display?

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0%

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Index

1. 1,152 square inches

2. 1,440 square inches

3. 2,016 square inches

4. 2,880 square inches

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?

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5 miles 15 miles 31 miles 39 miles

1. 5 miles 2. 15 miles 3. 31 miles4. 39 miles

Index

7. An angle is shown on this protractor. Estimate the measure of the angle to the

nearest degree.

0%

0%

0%

0%1. 23°

2. 26°

3. 27°

4. 37°

Index

9. A packing company is changing the size of a shipping carton. The carton is in the

shape of a rectangular prism. The height of the carton will be doubled and the width will

be tripled.  By what scale factor will the volume of the original carton increase?

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5 6 9 36

1. 52. 63. 94. 36

Index

Station #5

Geometry

1. Which statement is a characteristic of all parallelograms?

Adjacen

t side

s are

c...

Adjacen

t side

s are

p...

Oppo

site a

ngles a

re...

Oppo

site a

ngles a

re...

0% 0%0%0%

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1. Adjacent sides are congruent.

2. Adjacent sides are perpendicular.

3. Opposite angles are congruent

4. Opposite angles are supplementary

2. Coral was asked to draw a rhombus on the chalkboard.

Coral drew a square.Ken told Coral that she didn’t draw a rhombus.

Coral responded, “A square is a rhombus.” Which statement supports Coral’s reasoning that

a square is a rhombus?0%0%0%0%

A rhombus must ha... A rhombus must ha... A rhombus must ha... A rhombus must ha...index

1. A rhombus must have at least four sides.

2. A rhombus must have one pair of parallel sides.

3. A rhombus must have right angles.

4. A rhombus must have four congruent sides.

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0%

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3. Parallelogram EFGH is similar to parallelogram WXYZ. What is the length of WZ?  

1. 3 in.2. 6 in.3. 7 in.4. 9 in.

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4. Jason made a model stop sign for his model train set. An actual stop sign measures 12 inches on each side. Jason’s model stop sign measures ½ inch on each side. What is

the scale of the model sign to the actual sign?

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1 : 2 1 : 6 1 : 12 1 : 24

1. 1 : 22. 1 : 63. 1 : 124. 1 : 24

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5. A figure is shown. Which degree of rotational symmetry does this figure have?

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90 120 180 270

1. 90 2. 120 3. 180 4. 270

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6. Two interior angles of triangle FGH measure 25 o and 50. What is the measure of HFG?

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0%

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0%1. 15 o

2. 25 o

3. 90 o

4. 105 o

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7. A rectangular garden has the dimensions shown. A pathway cuts diagonally through

the garden. What is the length of the pathway?

1. 25 feet 2. 34 feet 3. 46 feet 4. 92 feet

25 fe

et

34 fe

et

46 fe

et

92 fe

et

0% 0%0%0%

index

8. Lance is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

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20 feet 24 feet 29 feet 51 feetindex

1. 20 feet2. 24 feet3. 29 feet4. 51 feet

9. Triangle LMN is shown on the graph. Triangle LMN is translated three units to the

right and two units down. What are the coordinates of the vertices for triangle L′ M ′

N ′?

0%0%0%0% 1. L ′ (–3, 1), M ′ (3, 4), N ′ (5, 1)

2. L ′ (–4, 1), M ′ (5, 1), N ′ (2, 4) 3. L ′ (5, 1), M ′ (3, 1), N ′ (2, 4)

4. L ′(4, 3), M ′(1, 5), N ′(1, –3)

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Station #6

Patterns, Functions, & Algebra

3. Which pattern is non-linear?

22%

61%

0%17%

–4,  2,  8,  14, ... 2, 4, 8, 16, ... 3, 6, 9, 12, ... 5,  9,  13,  17, ...

Index

1. –4,  2,  8,  14,  20,  …2. 2, 4, 8, 16, 32, …3. 3, 6, 9, 12, 15, …4. 5,  9,  13,  17,  21, …

4. Kwame bought three rose bushes and two maple trees. Each rose bush costs $15. Kwame spent a total of $67. Let t represent

the cost of one maple tree. Which equation is one way to represent this

situation?

50%31%

13% 6%

2t + 3(15) = 67 2t + 3t = 67 2t + 3t = 67t 3t + 2(15) = 67

1. 2t + 3(15) = 672. 2t + 3t = 67 3. 2t + 3t = 67t 4. 3t + 2(15) = 67

Index

5. Simplify:  3x2 + 3x – x2 + 5 + 5x   

33%

24%19%

24%

Index

1. 3x 2 + 8x + 52. 10x2 + 5 3. 15x6

4. 2x2 + 8x + 5

6. Which expression is equivalent to 5(a + a + b)?

35%

10%

30%

25% 1. 15ab 2. 10a + b 3. 5a + 5b 4. 10a + 5b

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7. A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and

p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?

$2.79 $3.04 $5.21 $5.83

5%

33%

24%

38%1. $2.79 2. $3.04 3. $5.21 4. $5.83

Index

8. The relationship between x and y is y = –2 x + 7.

How does the value of y change when x increases from 0 to 3?

48%

24%

24%5%

y decreases by 6 y decreases by 3 y increases by 5 y increases by 7

1. y decreases by 6 2. y decreases by 3 3. y increases by 5 4. y increases by 7

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Station #7

Data Analysis

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50%

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1. Emily earns $12 every week. The circle graph shows how Emily uses her money each week. Emily claims that she only

spends about $10.00 each week. Which statement supports Emily’s claim?

Index

1. She saves 15% of her money each week.

2. She spends $6.00 each week on entertainment.

3. She uses 12% of her money to buy clothes

4. She buys almost $3.00 worth of snacks every week.

2. Colby graphed some data as shown in this box-and-whisker plot. Which statement is true about Colby’s data?

1. The range of data is 25.2. One-half of the data are

below 65. 3. The median of the data is

60. 4. Three-fourths of the data

are below 90.

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The range ... One-half o... The median... Three-four...

Index

3. This stem and leaf plot represents the heights, in inches, of the students in Ms. Martin’s class. What is the mode of these data?

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100%

Index

1. 54 inches 2. 59 inches 3. 60 inches 4. 65 inches

4. Manny surveyed 24 of his classmates about their vacation plans. The bar graph shows the results.

Manny’s class is representative of the entire school. What is a reasonable estimate for how many of the 300

students in the school have no vacation plans?

1. 50 students2. 75 students3. 100 students4. 125 students

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5. Josh’s test scores were 95, 89, 87, 95, 86, and 88. Which measure of center will

give Josh the highest final grade?

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Mean Median Mode All three ...

1. Mean2. Median3. Mode4. All three are the

same

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7.The chart shows changes in population in Ohio’s four largest cities from 1990 to 2002. Based on the chart, which claim misuses the

data?

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0% 1. The population of Cincinnati decreased from 1990 to 2002.

2. Columbus was the only one of the four cities whose population increased.

3. The population of Columbus grew by about 14% from 1990 to 2002.

4. The population in Cleveland and Toledo decreased by the same number of people. Index

8. Tony has one green, one white, one red and one blue shirt. He also has one pair of black jeans and one pair of blue jeans. He

randomly chooses a shirt and a pair of jeans from his closet. What is the

probability that Tony chooses a white shirt and a pair of blue jeans?

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1/8 ¼ ½ 3/4

1. 1/82. ¼3. ½4. 3/4

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9. Sam spins this spinner 120 times. How many times can Sam expect to land on

blue?

1. 52. 123. 204. 24

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5 12 20 24Index

10. Robyn rolled a number cube 60 times in an experiment. Her results are shown in this table. What was the experimental probability

of rolling a 6?

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¼ 1/6 1/10 1/15

1. ¼2. 1/63. 1/104. 1/15

Index