Ecto - OH Math Base Test 2003

When framing in a wall, carpenters make sure that all vertical studs are perpendicular to the floor and ceiling. They sometimes add a diagonal brace for added support during construction (as shown in the drawing).

When the vertical studs are perpendicular to the floor, which pair of angles will always be congruent?

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Which of the following lists the coins in order from least to greatest by the number of coins produced?

Industrial Giants, Spacewalk, Flying Eagle, Great Presidents

Flying Eagle, Great Presidents, Spacewalk, Industrial Giants

Great Presidents, Flying Eagle, Industrial Giants, Spacewalk

Industrial Giants, Flying Eagle, Spacewalk, Great Presidents

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At the beginning of the summer, Katie opened a new checking account with a $60 deposit. Each week during the summer, she earned $95 as a part-time lifeguard. Katie deposited 10% of these earnings into her account. Which of these equations represents the amount of money, m, Katie will have deposited in her checking account after w weeks?

m = 15.5w

m = w + 69.5

m = 95w + 60

m = 9.5w + 60

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The pilot of a small aircraft was given permission to land, and she lowered the wheels at an altitude of 1,500 feet. Two and a half minutes after lowering the wheels, the aircraft landed.

What was the plane’s rate of descent, in feet per second, from the time the wheels were lowered to the time the plane landed?

10 ft/s

75 ft/s

375 ft/s

400 ft/s

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Last month members of a Fostoria youth group spent time doing community service. The graph shows the numbers of students who contributed certain hours of service.

How many members spent 10 or more hours in community service last month?

3

4

9

12

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Josie claimed that all polyhedra have more vertices than faces. Which of these polyhedra shows that Josie’s statement is not always true?

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Three-fifths of a city’s population is registered to vote. In the last election, 75% of the registered voters cast a ballot. What fractional part of the city’s population voted in the last election?

9/20

3/4

4/5

27/20

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Mr. Anderson has machinery on his farm that allows him to bale hay two different ways: "round" and "square." Approximately how many "square" bales contain the same amount of hay as one "round" bale?

14

17

21

24

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Douglas wants to fence a rectangular region for his dog. The length of this region should be at least 60 feet. The width should be greater than 20 feet and the distance around should be no more than 200 feet. Which dimensions could be used to build the fence for Douglas’ dog?

25 ft by 80 ft

30 ft by 75 ft

35 ft by 60 ft

40 ft by 55 ft

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Penny needs to make a model of an Egyptian pyramid for her history class. She plans to cut a shape out of thick cardboard and then fold it to make a pyramid with a square base. Which of these nets or shapes could Penny use to make her model?

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To raise money, a school club is operating a dunking booth at the local fair. The club will pay $120 to rent the booth. Each customer will pay $1.50 to throw a ball at the dunking platform on which a person sits. Which inequality could be used to find the number of customers, c, required for the club to make a net profit of at least $350?

1.5c – 120 ≥ 350

1.5c + 120 = 350

1.5c – 120 > 350

1.5c + 120 ≥ 350

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The students at Watertown High School are raising money for homecoming. The graph shows the amount of money each class has raised so far. About what percentage of the money raised did the sophomore class earn?

25%

33%

43%

50%

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The Americans with Disabilities Act states that a wheelchair ramp must have a slope no greater than 1/12, as shown in the diagram. Which of the following inequalities must be true of a ramp conforming to the Americans with Disabilities Act?

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The diameter of a pollen grain from a flower can range from 0.0000004 inches to
0.00002 inches. Which of the following would be an equivalent description of the range of the diameters of pollen grains?

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Cylindrical cans are being packed into rectangular boxes in two layers. Each layer consists of two rows of cans with three cans in each row. The dimensions of each can are shown below. Which of the following is the smallest box that can hold all of the cans?

2 inches wide, 3 inches long, 2 inches high

4 inches wide, 6 inches long, 8 inches high

6 inches wide, 9 inches long, 5 inches high

6 inches wide, 9 inches long, 9 inches high

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The Venn diagram below represents relationships among various kinds of triangles. Which of the following triangles is included in the shaded region?

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Consider the following scores:

12, 56, 62, 66, 74, 83, 88, 90, 93, 96

If the outlier, 12, is removed from the set above, what is the approximate increase in the mean of the remaining scores?

3

7

12

94

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A telephone manufacturing company has determined that the cost of producing a certain type of telephone can be found by using the equation y = 42x + 2,000, where y is the production cost and x is the number of telephones produced. The company accountant calculates an average daily production cost of $8,426. Approximately how many telephones does the company produce daily?

153

248

6,426

355,892

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The mean weight of the five returning members for Cardinal High School’s wrestling team is 168 pounds. Three freshman wrestlers joined the team. If their weights are 140, 172 and 168 pounds, what is the mean weight of this year’s team?

160 pounds

162 pounds

165 pounds

168 pounds

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Density is a physical property of matter which measures the mass of an object per unit of volume.

As most stars grow older, the mass remains the same while the radius becomes smaller. What happens to the star’s density as the star ages?

The density increases.

The density decreases.

The density stays the same.

The density increases and decreases periodically over time.

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A dance committee surveyed some students about suggestions for the next school dance. When they analyzed the results, 45% of those surveyed were seniors, 1/4 of those surveyed were juniors, 0.1 of those surveyed were sophomores, and the remainder were freshmen. What fraction of the students surveyed were freshmen?

1/20

1/5

3/10

2/5

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The quadrilateral STUW has vertices at the coordinates (1, 1), (2, 5), (5, 5), and (8, 1), as shown. What are the coordinates of the vertices of quadrilateral STUW when it is reflected over the x-axis?

(1, 1), (2, 5), (5, 5), (8, 1)

(–1, 1), (–2, 5), (–5, 5), (–8, 1)

(–1, –1), (–2, –5), (–5, –5), (–8, –1)

(1, –1), (2, –5), (5, –5), (8, –1)

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The first 5 terms of a sequence are given in the table. For this sequence, which of these represents the relationship between n, the number of the term, and t , its corresponding value?

t = n^2 + 1

t = 2n + 1

t = 3n – 1

t = 2n^2 – 1

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The angle of the roof on Kaya’s dollhouse is 56°. She built a scale model of the dollhouse with a scale ratio of 1 : 4. What is the measure of the angle of the roof of the model?

14°

34°

56°

224°

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The graph below compares earnings categorized by level of schooling for males and females. Which of the following statements is true based on the graph?

Gender does not appear to have an impact on earnings.

Education level does not appear to have an impact on earnings.

The more educated a female, the wider the earnings gap between her and her male counterpart.

As education level increases, the earnings gap narrows between males and females.

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This box-and-whisker plot represents the average annual precipitation in Ohio over a ten-year period. Which of these is the median rainfall for the ten-year period?

35.5 inches

39.1 inches

40.0 inches

42.6 inches

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A circle is sketched on a coordinate plane with the center at (6, 8). The circle passes through the point (0, 5). Which of these expressions could be used to find r , the radius of the circle?

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A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet.

Which of these is nearest to the height of the lighthouse?

25 feet

45 feet

110 feet

135 feet

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Alfredo has forgotten the three-digit code to the lock on his suitcase. Alfredo remembered that the first digit is 3 and the last digit is either 2 or 4. The middle digit could be any number from 0 through 9 inclusive. What is the greatest number of three-digit codes Alfredo might have to try in order to be sure to open his suitcase?

10

12

20

60

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Let x represent any number on the real number line shown. Which of these represents the distance, in units, from x to 3?

| x |

x - 3

|x| - 3

| x - 3 |

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OH Math Base Test 2003

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