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21
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In a field day at a school, each child who competed in n events and scored a total of p points was given an overall score of $$\frac{p}{n}+ n$$ . Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5, 6, and 7 points, respectively. What was the ratio of Andrew's overall score to Jason's overall score?
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22
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A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?
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23
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A company sells radios for $15.00.each. It costs company $14.00 per radio to produce 1,000 radios and $13.50 per radio to produce 2,000 radios. How much greater will the company's gross profit be from the production and sale of 2,000 radios than from the production and sale of 1,000 radios?
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24
|
Which of the following represent positive numbers?
I. -3 - (-5)
II. (-3)(-5)
Ill. -5 - (-3)
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25
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If $$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$, then x =
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26
|
Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD?
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27
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A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer's stock of coffee is decaffeinated?
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28
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The toll T, in dollars, for a truck using a certain bridge is given by the formula $$ T = 1.50 + 0.50(x - 2)$$ , where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
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29
|
For what value of x between -4 and 4, inclusive, is the value of $$x^{2} - 10x + 16$$ the greatest?
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30
|
If $$ x =-\frac{5}{8}$$and $$ y =-\frac{1}{2}$$ , what is the value of the expression $$ -2x - y^{2}$$ ?
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31
|
If $$ x - y = R$$ and $$ xy = S$$ , then $$ (x - 2)(y + 2)$$ =
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32
|
For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab?
I. 24
II. 30
Ill. 36
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33
|
List S consists of the positive integers that are multiples of 9 and are less than 100. What is the median of the integers in S ?
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34
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In the figure above, if F is a point on the line that bisects angle ACD and the meaure of angle DCF is $$x^{0}$$ , which of the following is true of x?
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35
|
A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?
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36
|
If x and y are integers and $$x - y$$ is odd, which of the following must be true?
I. xy is even.
II. $$x^{2}+y^{2}$$ is odd.
Ill. $$(x+y)^{2}$$ is even.
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37
|
On Monday, the opening price of a certain stock was $100 per share and its closing price was $110 per share. On Tuesday the closing price of the stock was 10 percent less than its closing price on Monday, and on Wednesday the closing price of the stock was 4 percent greater than its closing price on Tuesday. What was the approximate percent change in the price of the stock from its opening price on Monday to its closing price on Wednesday?
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38
|
In the rectangular coordinate system shown above, points 0, P, and Q represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
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39
|
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
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40
|
1 - 0.000001 =
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