# Several mixed problems

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11 A baseball player scored a total of 27 runs in the first 20 games of the season. If he continues at the same pace, how many runs should he score in the 80-game season?

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12 Estimate the result in the following division problem. (Remember to round divisors to the nearest ten and dividends to the nearest hundred.)

612 divided by 32

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13 1,232 is what percent of 220?

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14 Dave invested $8,500 in a time deposit. What interest will he earn for 2 years if the interest rate is 4.75% compounded annually (at the end of each year)?

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15 Choose the correct greatest common factor of 84, 105 and 147

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16 A saleswoman is working on a 3% commission basis. If she wants to make $3,000 in one month, how much must she sell?

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17 Find the missing length of the right triangle

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18 The sales tax rate in a state is 8%. If you pay a tax of $2.50 on an item that you purchase, what is its selling price?

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19 Find the angles of a, b, and c

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a:

b:

c:

20 Find the missing angle:

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21 Find the first and third quartiles, Q1 and Q3, of the following set of numbers.

13, 5, 12, 16, 7, 14, 7, 3, 10, 7

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22 Find the mean, mode and median of the following numbers:

13, 5, 12, 16, 7, 14, 7, 3, 10, 7

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Mean:

Mode:

Median:

Worth 3 points

23 The table below gives the mean temperature (in degrees Fahrenheit) for the month of June over a 6-year period in Town B.

Year 1 2 3 4 5 6 7 8 9 10

Temp. 69° 68.5° 70° 72° 71° 71.5° 70.8° 69.7° 67.7° 68.1°

Make a bar graph using the above data.

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24 Determine the maximum and minimum values of the following set of numbers.

-12, 19, 12, 10, -24, 1, -1

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25 Perform the indicated operations

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26 Label the following equation as "true" or "false. Must prove your answer to get full credit.

|4| + |-4| = |4 + -4|

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27 Find the reciprocal of

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28 Show the prime factorization of the number 117.

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29

Find the area.

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30 Write 58% as a fraction or a mixed number.

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31 The electricity costs of a business increased from $20,000 one year to $22,000 the next.

To the nearest whole percent, what was the rate of increase?

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32 Find the area of the figure.

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33 Rewrite the statement, using percent notation.

13 out of 25 college students work at part-time jobs.

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34 Add

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35 Evaluate the following:

-62 - (-3)3

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36 The length of a box is yd, its height is yd and its width is yd. What is its volume in cubic yards?

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37 Which two triangles are similar?

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38 Subtract

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39 Are and equivalent fractions? Prove your answer.

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40 Which of the numbers 32, 23, 54, and 37 are prime?

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41 What fractional part of an hour is 18 minutes? Simplify your result.

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42 Divide Write the result in simplest form.

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43 Write the following as a common fraction or mixed number.

5.679

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44 For the decimal 8.62354:

What is the place value of 5?

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45 The following pie chart shows the budget for a local company. The total budget is $899,300. Find the amount budgeted in the category of taxes.

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#### Solution Summary

Step by step detailed solution is provided for all the problems.