Mathematics Knowledge – Test 1

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This subtest has 16 questions and a time limit of 20 minutes

1 / 16

A book page is 8 3/4 inches long. The printed area is 7 1/3 inches long and the top margin is 5/8 inches. How wide is the bottom margin?

2 / 16

A recent survey concluded that 3/4 of the teachers in a certain school district had at least 10 years of teaching experience. If there are 156 teachers in the district, how many have at least 10 years of teaching experience?

3 / 16

If a class collects $155 toward a fundraising goal of $775, what fraction represents the class's progress toward its goal?

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When making a snowman out of three snow spheres, let’s have the ratio of the diameter of each of the three spheres be 1:2:3. If the diameter of the smallest sphere (the top) is 18 inches, what is the diameter, in feet, of the largest sphere (the bottom) of the snowman? Express your answer as a decimal to the nearest tenth.

5 / 16

Find the area of a rectangular garden with a length of 12 2/5 and a width of 8 1/9 feet.

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You can afford a $700 per month mortgage payment. You’ve found a 30 year loan at 5% interest. How big of a loan can you afford?

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The area of a playground is 336 yd^2. The width is 5 yds longer than its length. Find the length and width of the playground.

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If g(n) = 3n - 2, then what is the value of g(10)?

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A political scientist surveys 28 of the current 106 representatives in a state's congress. Of them, 14 said they were supporting a new education bill, 12 said there were not supporting the bill, and 2 were undecided. Based on this sample, we might expect how many of the representatives to support the education bill?

10 / 16

Solve by the substitution method:

2x+5y=13

x=29-7y

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Donna is painting statues. She has 7/8 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?

12 / 16

Find the equation, in standard from, of the line described:

containing (2,-5) and (4,4)

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A square's side is increased by 11 yards, which corresponds to an increase in the area by 451 square yards. How many yards is the side of the initial square?

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If x^y = 3, what does x^3y equal?

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Solve for x:

9 - 3x = 36.

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