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Part V: Practice-Review-Analyze-Practice

22. D. Since the large square has sides of 4 cm each, its area must be 16 square cm. By a careful

grouping of areas, you can see that there are 4 unshaded smaller squares and 4 shaded

smaller squares (match the shaded parts to 4 squares). Therefore, half of the area is

shaded, or 8 square cm.

Shaded areas

total four small squares.

23. E. The sale of each bouquet yields a profit of $2.75 (since each costs $2.00 and is sold for

$4.75). Therefore, the number of bouquets that the Key Club needs to sell to yield a total

of $82.50 can be determined by dividing $82.50 by the profit from each sale, $2.75.

Answer D is incorrect because in the order of operations, division takes precedence over

subtraction (is performed first).

24. C. Rounding .14739 to the nearest thousandth means first looking at the digit one place to

the right of the thousandths place: .14739. Since that digit is 4 or less, simply drop it.

(There is no need to replace with zeros because they are not needed to the right of a decimal

point.)

25. D. Noting that 12 can be expressed as (10 + 2), another way to easily compute 12 × 40 is

(10 × 40) + (2 × 40).

26. C. Note that only choice C raises one of the numbers by 5 while it lowers the other number

by 5. This gives the best approximation of the five choices.

27. A. Sixteen out of 400 may be expressed as a percent as 16 ⁄400. Dividing 16 by 400 gives .04,

or 4%.

28. C. You could multiply 7 × $1.00 and 7 × $1.25 and then add:

7 × $1.00 = $7.00

7 # $. 1 25 = $. 8 75

$ 15.

75

or you could add the washer and dryer costs together and then multiply the total by 7.

$1.00 + $1.25 = $2.25

7 × $2.25 = $15.75

29. D. Using the probability formula,

number of luckychances

probability =

total number of chances

The chance of choosing a weekday = 5 weekdays / 7 total days = 5 ⁄7.

30. E. Note that since there is a mark between +7 and +9, that mark must equal +8. Thus,

each mark equals 1. Counting back, point Q is at +5. Therefore, 15 units to the left of +5

would be +5 – 15 = –10.

372

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