r, then a correct formula for area in terms of circumference is C 4

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1 Math hallenge 008 Multiple hoice Questions. If the area of a circle is given by A = π r and the circumference is given by = π r, then a correct formula for area in terms of circumference is A = b. π A = c. π A = d. π A = p. If p = x and q = x + then q = x b. 0 c. d. x. Square S has a diagonal of length d. Square S has a diagonal of length d. When the area of S is divided by the area of S, the result is b. c. d.. Here are five numbers: ;,;,;,,;,,,. Exactly how many of these numbers are evenly divisible by? b. c. d. 5. What is x? 75 x x 5 b. 75 c. 5 d. 5

2 6. 5% of of is 0.65 b c d When a fair coin is flipped, the probability that it comes up heads is. If this coin is flipped eight times, then the probability that it comes up heads all eight times is 6 b. 0 c. d Assume x y z. If the mean of x, y, and z is 0 and the median of x, y, and z is 5, then x + z is 5 b. 0 c. 5 d. Impossible to determine 9. Find x. x 6 8 b. 6 c. d. 0. Lyon Street goes downhill as indicated in the figure. If you were to drive of a mile on Lyon 0 Street, how much would your altitude change? (580 feet = mile) Horizontal Altitude Lyon Street 5.8 ft b. 58 ft c. 58sin( 0 ) ft d. tan( 0 ) 0 58 ft

3 . How many different three-letter words can be created using the letters in MARH if no letter can be used more than once? (A word does not have to be an actual meaningful word in any language). 60 b. 0 c. 0 d. 6. In a certain area of Kent county the number of home foreclosures increased from in 00 to 9 in 007. What is the percentage increase in home foreclosures? 9% b. 900% c. 8% d. 800%. If the larger circle has radius A and the smaller circle has radius B then the area of the shaded region is A B π ( A B ) b. ( A + B ) π c. ( A B ) π d. π A B x y x + y. ( ) ( ) = x y b. y c. d. x 5. Let # be an operation defined by Find *( 5 # ). x # y = x y and let * be an operation defined by x * x y = y 6 b. c. d. 60

4 6. The slope of the line shown is y x b. c. d The mean of all prime numbers between 70 and 00 is 8 b. 8 c. 8 d If the figure is a regular octagon then the measure of angle θ is θ 5 b. 50 c. 0 d Assume that the room in which you are taking this test is a rectangular box measuring 8 feet by 0 feet by feet. If a shoebox measures inches by 6 inches by inches, approximately how many shoeboxes could fit in this room? 5,89 b. 6 c.,79 d. 0. A car travels west on I-96 at 70 miles per hour. The driver notices that it takes one minute to pass 5 of the thin white rectangles that separate the two westbound lanes (see figure). Find the approximate length of each white rectangle; that is, find x. (580 feet = mile) x x x x x x x x x x x feet b. 6.5 feet c.. feet d.. feet

5 . The sum of all prime factors of 008 is 66 b. 58 c. 57 d. 0. At 6:5 p.m. the angle between the minute hand and the hour hand of a clock is.5 b. 5 c. 7.5 d. 0. = b. 0 c. 6 d. 8. If x and y are real numbers the equation ( ) x + y = x + y is true under what conditions? Always b. Never c. Only if x = y d. Only if at least one of x or y is 0 5. ( ) = b. c. 6 d In 006 Sara s salary was D dollars. In 007 she got a 0 % raise in pay. Then in 008 she got a 0% cut in pay. What was her final salary, in dollars? 0.99D b. D c. 0.90D d..0d 7. If the area of a square is 5, then its perimeter is 5 b. 0 c. 5 d. 5

6 8. The set of x for which x is a real number is All real numbers b. The empty set c. { 0 } d. {, } 9. If f ( x) = x, then f ( ) = 6 b. 6 c. 8 d In the figure D, E, and F are the midpoints of segments AB, B and A respectively. Also X, Y, and Z are the midpoints of segments DF, DE and EF respectively. If the length of AB = length of B = length of A = 8, then the area of triangle XYZ is A D X F Y Z B E b. c. d.. If a rectangular block of ice measuring.00 inches by 5.00 inches by 6.00 inches weighs.7 pounds, then a rectangular block of ice measuring 0.00 inches by.50 inches by 5.00 inches would weigh 0. pounds b pounds c pounds d. 0π pounds

7 . On a day when $ anadian = $.09 U.S., gas in Toronto, Ontario, anada cost $0.78 anadian per liter. What would be the equivalent cost in U.S. dollars per gallon? ( liter.06 quarts, quarts = gallon) $.0 b. $.70 c. $.60 d. $.. Let c > 0. The equation x x c = 0 has exactly One real root b. Two real roots c. One complex root d. Two non-real complex roots. Suppose w, x, y, and z are positive real numbers. If w x =, x y = and y z = 5, then w z = 0 60 b. c. d In the figure the following information is known: length of AB = 0, length of B = 5, length of A = 7. Segment BQ bisects angle AB and segment Q bisects angle AB. Finally, PR is parallel to B. What is the perimeter of triangle APR? A P Q R B b. c. 7 d. 0

8 Math hallenge 008 Multiple hoice Answer Key. c. a. d. c 5. a 6. c 7. d 8. c 9. b 0. c. a. d. a. b 5. c 6. b 7. b 8. a 9. a 0. b. c. a. c. d 5. d 6. a 7. c 8. c 9. a 0. d. c. d. b. b 5. c

Geometric Formulas (page 474) Name

LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note: