Mathematics

Blue Grass Academic ConferenceWritten Assessment

2015

Copyright © 2015 Academic Hallmarks

Mathematics Round 1 Page 11 . Number ProblemsOne number is six times another and their sum is 56. What is the larger number? A. 40 B. 42 C. 44 D. 46 E. 48

2 . Triangle SidesTwo sides of a triangle are 7 and 11 meters. The possible values for the third side range from greater than ---- to less than ---- meters. A. 3, 17 B. 4, 18 C. 5, 19 D. 6, 20 E. 7, 21

3 . Polygon PerimetersEach of the equal sides of an isosceles triangle is 5 times the third side. If its perimeter is 121 inches, its shortest side is ---- inches. A. 10 B. 11 C. 12 D. 13 E. 14

4 . Consecutive IntegersWhat is the largest of three consecutive odd integers whose sum is 57? A. 19 B. 21 C. 23 D. 25 E. 27

5 . Fraction ConversionWhich percentage is not paired with a fraction? A. 3% equals 3/10 B. 75% equals 3/4 C. 40% equals 2/5 D. 66 2/3% equals 2/3 E. 12 1/2% equals 1/8

6 . AnglesIn three-quarters of an hour, the minute hand of a clock turns through how many degrees? A. 45 B. 90 C. 180 D. 270 E. 360

7 . DivisorsThe greatest common divisor of 36 and 48 is ... A. 10 B. 12 C. 14 D. 16 E. 18

8 . SetsOne set includes actors who became politicians. The other includes astronauts who walked on the Moon. These are ---- sets. A. null B. empty C. infinite D. disjoint E. intersecting

9 . ProportionsWhich proportion is incorrect? A. 7/9 = 56/72 B. 8/14 = 18/26 C. 30/18 = 45/27 D. 12/16 = 15/20 E. 19/12 = 76/48

1 0 . Integer RelationshipsWhat can be said about these numbers? 5211 2466 9423 3330 9531 A. They are primes. B. They are multiples of 9. C. Their reciprocals are odd. D. They are evenly divisible by 11. E. The sums of their digits are even.

Mathematics Round 1 Page 21 1 . Algebraic AveragesWhat is the average of q, 2q, 4q, 5q, 8q, 9q, and 13q? A. 4q B. 5q C. 6q D. 7q E. 8q

1 2 . Spinning ShaftsThe shaft of an electric motor running at 6,600 rpm is turning how many revolutions per second? A. 100 B. 110 C. 120 D. 130 E. 140

1 3 . Piles of MoneyA dollar bill is 4/1000 of an inch thick. If you were to stack 1 billion dollar bills on top of one another, the pile would be about ---- miles. A. 23 B. 33 C. 43 D. 53 E. 63

1 4 . AreasThe rectangle with the greatest area is the one that is ---- feet. A. 11 by 13 B. 12 by 12 C. 14 by 10 D. 15 by 9 E. 16 by 8

1 5 . Square RootsWhat is the closest approximation to the square root of 7000? A. 59.2 B. 63.5 C. 77.1 D. 83.8 E. 92.9

1 6 . Algebraic EvaluationGiven that a = 7, b = 4, and y = 8, evaluate this expression. 7by - 2ay A. 112 B. 124 C. 136 D. 148 E. 152

1 7 . Triangle SidesIn triangle ABC, side AB is 18 and side AC is 7. Therefore, side BC is less than ... A. 17 B. 19 C. 21 D. 23 E. 25

1 8 . ProbabilityThe odds are highest of rolling which number with a pair of dice? A. 2 B. 5 C. 7 D. 10 E. 12

1 9 . NumbersWhich is a mixed number? A. 28/5 B. 7.5774 C. MCXXIV D. 563 3/5 E. 14.6 squared

2 0 . Canine AgesAt Priscilla's Puppy Parlor, a baby spaniel is 18 days old and baby poodle is 3 days old. In how many days will the spaniel be exactly twice as old as the poodle? A. 6 B. 8 C. 10 D. 12 E. 14

Mathematics Round 1 Page 32 1 . Fuel CostYour car runs on pure alcohol and gets 20 miles per gallon. If 200 gallons of alcohol can be made per acre of corn and you drive 18,000 miles annually, you could make all your fuel for the year from how many acres of corn? A. 1.5 B. 2.5 C. 3.5 D. 4.5 E. 5.52 2 . Thorough ThrashingsIn a nonconference basketball game against the Pretoria Pygmies, Shaquille single-handedly sank three score field goals and two score free throws. How many points did he make? A. 80 B. 100 C. 120 D. 140 E. 160

2 3 . Percentage1000% of 7 1/4 is ... A. 70 1/4 B. 71.4 C. 72.5 D. 725 E. 7,250

2 4 . Posy PickingIf Daisy Gardenia picks eleven posies in eight seconds, how many can she pick in two minutes? A. 145 B. 150 C. 155 D. 160 E. 165

2 5 . TransportationSixty passengers carried 21,120 feet equals how many passenger-miles? A. 120 B. 240 C. 360 D. 480 E. 600

2 6 . Veggie StatsReva harvested tomatoes from her garden weighing 4, 7, 8, 9, and 12 ounces. The sixth tomato would have to weigh ---- ounces for all of them to average 9 ounces. A. 11 B. 12 C. 13 D. 14 E. 15

2 7 . Slow CookingRhinoceros roasting takes 30 minutes per pound at 110 degrees. To serve a 60-pound roast at 8 PM Sunday, you should start cooking it at ---- Saturday. A. 10 AM B. 11 AM C. noon D. 1 PM E. 2 PM

2 8 . Composite NumbersWhich is not a composite number? A. 12 B. 13 C. 14 D. 15 E. 16

2 9 . Space SpeedHow many miles does a spacecraft travel in 8 seconds if it is traveling at 18,000 miles per hour? A. 20 B. 40 C. 60 D. 80 E. 100

3 0 . ProportionsWhich is a proportion? A. 6 is to 9 as 2 is to 4 B. 3 is to 5 as 9 is to 45 C. 4 is to 7 as 6 is to 11 D. 5 is to 8 as 10 is to 16 E. 7 is to 11 as 8 is to 13

Mathematics Round 1 Page 43 1 . Consumer AlgebraRancid bought five fishing rods at $X each and two more at 50% off for a total of ... A. $5X B. $5.5X C. $6X D. $6.5X E. $7X

3 2 . Decimal MetamorphosisWhich is equivalent to .4375? A. 3/16 B. 5/16 C. 7/16 D. 9/16 E. 11/16

3 3 . Bad Food MathAt the Gastro Entre Cafe, 14% of their food is lost to rats and 20% of the rest spoils. What percentage of their food can be served? A. 62.8 B. 64.5 C. 66.0 D. 68.8 E. 70.2

3 4 . RatiosExpress this ratio in lowest terms. 15 to 2 1/2 A. 2 B. 3 C. 4 D. 5 E. 6

3 5 . Unusual ProportionsThe number of states, less Hawaii and Alaska, is to the number of pints in a gallon as what number is to the number of atoms in 1 molecule of water? A. 9 B. 12 C. 18 D. 24 E. 32

Mathematics Round 1 - Answers1. E2. B3. B4. B5. A6. D7. B8. D9. B10. B11. C12. B13. E14. B15. D16. A17. E18. C19. D20. D21. D22. E23. C24. E25. B26. D27. E28. B29. B30. D31. C32. C33. D34. E35. C

Mathematics Round 2 Page 11 . QuadrilateralsA rectangle, rhombus, and square all ... A. are equilateral B. are equiangular C. have congruent diagonals D. have perpendicular diagonals E. have properties of parallelograms

2 . Mixed NumbersWhich mixed number is not paired with its corresponding fraction? A. 20 4/5 - 104/5 B. 1 31/64 - 95/64 C. 2 7/12 - 31/12 D. 12 7/11 - 129/11 E. 8 2/25 - 202/25

3 . Road MathThe odometer read 62,740 miles when you began a trip at 11:10 a.m. At 6:40 p.m., it read 63,160. The average speed on the trip was ---- miles per hour. A. 52 B. 54 C. 56 D. 58 E. 60

4 . Longer LivesIn 1900, the U.S. life expectancy was 49 years. By 1940, it had increased to 64 years, an increase of about ---- percent. A. 17 B. 20 C. 26 D. 31 E. 35

5 . Fishy RatiosOld Roy caught 88 crappie one day and threw back 72 of them. The ratio of the number kept to the number thrown back is ... A. 2/9 B. 3/4 C. 4/5 D. 5/6 E. 6/7

6 . Square Root ProblemsIf the square root of (3x + 1) = x - 3, one possible value of x is ... A. 4 B. 5 C. 6 D. 7 E. 8

7 . Doggone Averages6 Dobermans were each 3 feet long, while each of 4 St. Bernards were 5 feet long and each of 6 Chihuahuas had 1 foot lengths. The average length of these pooches was ---- feet. A. 1.75 B. 2.25 C. 2.50 D. 2.75 E. 3.00

8 . ParallelogramsWhich is not true regarding parallelograms? A. opposite sides equal B. opposite angles equal C. opposite sides parallel D. diagonals bisect each other E. consecutive angles complementary

9 . VariationWhich is an example of inverse variation? A. travel time and speed B. weekly pay and hours worked C. cost per pound and number of pounds D. gallons of paint and square feet to paint E. cups of milk and cups of flour in a recipe

1 0 . AveragesEach of 6 pheasants weighed 5 pounds. Two turkeys weighed 20 pounds each. Two condors weighed 25 pounds each. The birds' average weight was ---- pounds. A. 8 B. 10 C. 12 D. 14 E. 16

Mathematics Round 2 Page 21 1 . Out to DinnerA meal for the Whatsamatta University rugby team cost $150. The coach gave the waiter $180 and told him to keep the difference as the tip. The tip was ---- percent of the cost of the meal. A. 12 B. 15 C. 17 D. 20 E. 23

1 2 . Exponents64 equals 2 to the ---- power. A. 4th B. 5th C. 6th D. 7th E. 8th

1 3 . Triangle AnglesThe interior angles in a triangle are in the ratio of 3 to 4 to 5. The smallest exterior angle is ---- degrees. A. 90 B. 95 C. 100 D. 105 E. 110

1 4 . CubesThe sum of the volumes of a cube with two-inch sides and another cube each face of which contains sixteen square inches is ---- cubic inches. A. 18 B. 38 C. 72 D. 108 E. 214

1 5 . SetsWhich are overlapping sets? A. {5, 7} and {4, 6, 8} B. {6, 8, 10} and {7, 9, 11} C. {2, 4, 6, 8} and {8, 6, 4, 2} D. {1, 2, 3, 4, 5} and {8, 10, 12} E. {3, 7, 9, 12, 15} and {1, 4, 8, 9, 12}

1 6 . Cube CalculationIf the volume of a cube is 343 cubic inches, the length of any of its edges is ---- inches. A. 5 B. 6 C. 7 D. 8 E. 9

1 7 . QuadrilateralsWhat is the measure of the fourth angle in a quadrilateral if three of its interior angles measure 55, 75, and 95 degrees? A. 105 B. 115 C. 125 D. 135 E. 145

1 8 . RatioIn old Zeke's pasture, there are 240 bison and 260 goats. What is the ratio of the bison to all the animals in the pasture? A. 1 to 2 B. 2 to 5 C. 8 to 15 D. 11 to 20 E. 12 to 25

1 9 . Number PalindromesWhich choice does not produce a numeric palindrome? A. 11 squared B. 22 squared C. 26 squared D. 33 squared E. 101 squared

2 0 . Piscatorial Percentage Problems200 fish were in a tank. Sylvester ate 10% of them. 40% of those remaining were catfish. How many of those remaining were not catfish? A. 72 B. 96 C. 60 D. 108 E. 124

Mathematics Round 2 Page 32 1 . Square RootWhat is the sum of the square roots of the numbers 121 and 81? A. 12 B. 16 C. 20 D. 24 E. 28

2 2 . Snake SpeedA sidewinder slithered 490 yards in 3.5 hours. What is its rate of speed in feet per hour? A. 380 B. 420 C. 460 D. 500 E. 540

2 3 . Mathematical StatementsWhich statement is incorrect? A. a + 0 + 1 = a B. -a + -(-a) = 0 C. (a+b) + c = a + (b+c) D. if a>b then a+c > b+c E. if a > b and b > c then a > c

2 4 . TrianglesIt is impossible to have a triangle with sides of ... A. 1, 1, and 1 B. 1, 2, and 3 C. 3, 4, and 6 D. 2, 4, and 5 E. 3, 8, and 10

2 5 . AveragesWhen a, b, c, d and e are five consecutive odd integers, which is not their average? A. a + 4 B. (b+d)/2 C. (d+e-6)/2 D. 2(a+c+e)/3 E. (a+b+c+d+e)/5

2 6 . Metrics Measurements30 decimeters is the ... A. radius of a baseball B. length of a soccer field C. width of a ping pong table D. height of a basketball rim E. diameter of a hockey puck

2 7 . Square RootWhat is the square of the sum of the square root of 16 and the square root of 25? A. 36 B. 49 C. 64 D. 81 E. 100

2 8 . Sequence SumsWhat is the sum of the next two numbers in this sequence? 11 8.5 6 3.5 ... A. 1 B. .5 C. 0 D. -.5 E. -1.5

2 9 . FractionsWhich fraction is not equivalent to the others? A. 4/6 B. 8/12 C. 12/18 D. 18/24 E. 20/30

3 0 . Fractions7/8 is the simplest representation of ... A. 2500/4000 B. 3000/4700 C. 4200/4800 D. 4700/5300 E. 5500/6500

Mathematics Round 2 Page 43 1 . Pizza PortionsAl, Bo, Clara, Della, and Ed weigh 60, 80, 90, 100, and 120 pounds respectively. If they partition a pizza according to their weights, the central angle of Clara's piece should be ---- degrees. A. 46 B. 50 C. 64 D. 72 E. 88

3 2 . Bird BeaksAn Auk has polished 46% of its grand fourteen-inch beak. How many inches does he still have to polish? A. 6.44 B. 7.12 C. 5.76 D. 7.56 E. 6.84

3 3 . Blueprint ProportionsThe width of a house is to be 100 feet. The scale on a blueprint is 1/4 inch to 1 foot. A line of the blueprint representing the width of the house is ... A. 2' 1" B. 1' 4" C. 2' 6" D. 1' 8" E. 2' 10"

3 4 . Speed ConversionsIf you travel 3.6 miles in 18 minutes, what is your speed in miles per hour? A. 10 B. 12 C. 14 D. 16 E. 18

3 5 . Rhinoceros WashingTom can wash a rhinoceros in four hours while Jenny can wash the same rhino in two hours. It will take them ---- minutes to wash a rhino if they work together. A. 50 B. 80 C. 105 D. 120 E. 140

Mathematics Round 2 - Answers1. E2. D3. C4. D5. A6. E7. D8. E9. A10. C11. D12. C13. D14. C15. E16. C17. D18. E19. D20. D21. C22. B23. A24. B25. D26. D27. D28. D29. D30. C31. D32. D33. A34. B35. B

Mathematics Round 3 Page 11 . Age ProblemsFido is 7 years younger than Rover and their ages add up to 19. If one dog year equals 7 human years (which it doesn't), how old is Rover in dog years? A. 70 B. 77 C. 84 D. 91 E. 98

2 . Number SequencesWhat is the next number in this sequence? 10 7 4 1 ... A. 0 B. -1 C. -2 D. -3 E. -4

3 . Altitude MeasurementA glider caught in an extraordinary thermal rose from sea level to an altitude of 27,000 feet. How many feet above 5 miles did it travel? A. 250 B. 600 C. 950 D. 1100 E. 2000

4 . Coal CostsMorley bought x tons of coal at y dollars per ton. He gave the mine operator a $1000 bill. How much change should he receive? A. xy/1000 B. xy - 1000 C. 1000 - xy D. x + y - 1000 E. 1000 - (x+y)

5 . Geometric FormulasWhich could not be the formula for a perimeter? A. s(4) B. 2L + 2W C. a + b + c D. s squared E. pi times the diameter

6 . Painting ProblemsPainter Paul can paint a barn in 12 hours while painter Penelope can do it in 8 hours. Working together, they can complete the job in just under how many hours? A. 5 B. 6 C. 7 D. 8 E. 9

7 . Number EquivalentsWhich percent is not paired with its decimal form? A. 5% - .5 B. 96% - .96 C. 1/2% - .005 D. 3 3/4% - .0375 E. 134.7% - 1.347

8 . MassThe mass of a quart of milk is about 1 ... A. gram B. kilogram C. decigram D. dekagram E. hectogram

9 . Trading MathIn Kapooie, a land with no money, 40 figs equal 8 boa skins, 16 boa skins equal 10 baubles, and 100 baubles equal 2 J-Lo posters. How many figs equal 1 J-Lo poster? A. 300 B. 400 C. 500 D. 600 E. 700

1 0 . Number CategoriesWhich is a mixed number? A. 11/5 B. 6.6266 C. LXXIV.II D. 298 3/7 E. 38.5 squared

Mathematics Round 3 Page 21 1 . Algebraic ExpressionsThe Bonano family saves n dollars per year. The number of dollars saved in five months is ... A. 5n B. n/5 C. 5n/12 D. 12n/5 E. 12/5n

1 2 . Ancient CurrenciesIn ancient Egypt, there were 60 grains in 1 shekel, 60 shekels in 1 great mina, and 60 great minas in 1 talent. How many grains were in 3 talents? A. 32,400 B. 97,200 C. 291,600 D. 648,000 E. 1,080,000

1 3 . Pace ProportionsBig Jake takes 3 steps to walk the same distance for which Little Nell needs 4 steps. If 1 of Jake's paces covers 1 yard, how many yards would Nell cover in 24 of her paces? A. 12 B. 14 C. 16 D. 18 E. 20

1 4 . Age ProblemsThe sum of the ages of Clara's three cats is 18. The greatest possible product of their ages is ... A. 54 B. 162 C. 216 D. 512 E. 729

1 5 . Perimeter ProblemsYour rectangular lot includes 12,600 square feet. One side is 90 feet. The lot's perimeter is ---- feet. A. 420 B. 440 C. 460 D. 480 E. 500

1 6 . Scientific Notation6.2 times 10 to the fourth power equals what decimal numeral? A. 62 B. 620 C. 6,200 D. 62,000 E. 620,000

1 7 . Triangle AreasThe triangle with the greatest area is the one with which base and height? A. 9 by 8 B. 10 by 7 C. 11 by 6 D. 12 by 5 E. 13 by 4

1 8 . PercentIf 20% of a number is 60, what is 50% of that number? A. 110 B. 130 C. 150 D. 170 E. 190

1 9 . Measurement ConversionsIt is meaningless to convert ... A. hectares to acres B. kilograms to gallons C. centiliters to fluid ounces D. kilometers to statute miles E. cubic centimeters to quarts

2 0 . Binary NumerationIn the binary system, there are 110100 ... A. dozen in a gross B. planets in our solar system C. lives that a cat is said to have D. playing cards in a standard deck E. dalmatians in the Walt Disney movie

Mathematics Round 3 Page 32 1 . Geometric FormulasThe formula, A = bh, finds the area of a ... A. circle B. triangle C. pentagon D. trapezoid E. parallelogram

2 2 . Tennis, Anyone?In a tennis match there are five players, each of whom must play one set with every other player. How many sets must be played? A. 8 B. 10 C. 12 D. 14 E. 16

2 3 . Trail WorkA scout troop rebuilt 90% of a trail 8 miles long. How many feet of the trail remain? A. 4036 B. 4224 C. 4440 D. 4642 E. 4858

2 4 . Surface AreaThe surface area of a cube whose volume is 64 cubic feet is ---- square feet. A. 50 B. 64 C. 72 D. 88 E. 96

2 5 . QuadrilateralsAngle A in parallelogram ABCD is one fourth as large as angle B. How many degrees are in angle B? A. 36 B. 48 C. 96 D. 112 E. 144

2 6 . Mathematical SequencesWhat is the next number in this sequence? 7 12 10 15 13 18 ... A. 20 B. 14 C. 16 D. 23 E. 12

2 7 . Number LogicA is greater than B and C is a positive number. What cannot be true? A. AC > BC B. C-A > C-B C. A-C > B-C D. A/C > B/C E. C+A > C+B

2 8 . Fence ConstructionA fence was built around a square field using 52 posts. The posts are 6 feet apart. The area of the field is ---- square feet. A. 2916 B. 3600 C. 4356 D. 5184 E. 6084

2 9 . NumbersWhich has the greatest value? A. .2 B. 1/2 C. (.02) cubed D. (.2) squared E. square root of .2

3 0 . Code DecipheringIn this cipher, each letter has been replaced by a letter two places beyond it in the alphabet. Which line is from a patriotic song? A. JKIJ JQRGU B. NGV KV UPQY C. NKVVNG NCOD D. NCPF QH VJG HTGG E. URQQPHWN QH UWICT

Mathematics Round 3 Page 43 1 . RatiosFarmer Al has pheasants, chukars, and quail on his bird farm in the ratio of 2 to 6 to 8. Of his 128 birds, how many are chukars? A. 42 B. 44 C. 46 D. 48 E. 50

3 2 . Paper FoldingIf you fold a piece of paper in half six times, how many layers do you end up with? A. 16 B. 28 C. 32 D. 48 E. 64

3 3 . Graphs PercentagesA pie graph shows that 20% of dogs have mange. An angle of how many degrees subtends this portion of the graph? A. 18 B. 45 C. 60 D. 72 E. 96

3 4 . Taco Word ProblemsA factory wants to put a dozen jars of taco sauce in boxes for shipping. They have 420 jars of sauce. How many boxes will they need? A. 24 B. 35 C. 48 D. 62 E. 70

3 5 . Calendar CalculationsIf the first of the month is a Tuesday, then the fourth Friday will fall on the ... A. 23rd B. 24th C. 25th D. 26th E. 27th

Mathematics Round 3 - Answers1. D2. C3. B4. C5. D6. A7. A8. B9. B10. D11. C12. D13. D14. C15. C16. D17. A18. C19. B20. D21. E22. B23. B24. E25. E26. C27. B28. E29. B30. D31. D32. E33. D34. B35. C

Mathematics Round 4 Page 11 . PercentIf 20 is 40% of a number, what is 60% of that number? A. 25 B. 30 C. 35 D. 40 E. 45

2 . Christmas SongsIn the "12 Days of Christmas," if you subtract the number of turtle doves from the number of drummers drumming, you get the number of ... A. calling birds B. pipers piping C. lords a-leaping D. maids a-milking E. swans a-swimming

3 . Teeter-totter MathBig Bob weighs 260 pounds and is on a teeter-totter 4 feet from the fulcrum while Little Linda Lou is balancing him by sitting 16 feet from the fulcrum. She weighs ---- pounds. A. 65 B. 70 C. 75 D. 80 E. 85

4 . Money ProblemsIf you and your little sister saved a total of $240, but your savings were four times hers, how much did you save? A. $160 B. $178 C. $186 D. $192 E. $204

5 . Calendar MathIn lowest terms, all the months beginning with "J" comprise what fraction of a millennium? A. 1/8 B. 1/4 C. 3/8 D. 1/2 E. 2/3

6 . RoundingWhich number has been improperly rounded? A. 7,539,281 - 7,540,000 B. 6,382,380 - 6,400,000 C. 9,898,391 - 9,899,000 D. 2,513,233 - 3,000,000 E. 4,819,668 - 4,819,700

7 . DecimalsAs a decimal express the difference between 3/5 and 9/8. A. .500 B. .475 C. .540 D. .525 E. .490

8 . Algebraic Expressionsx/6 could not mean ... A. x divided by 6 B. one-sixth of x C. the ratio of x to 6 D. the product of 6 and x E. the quotient of x and 6

9 . Triangle SidesThe lengths of the three sides of a right triangle are consecutive even whole numbers. What are the lengths of the three sides? A. 4, 6, 8 B. 2, 3, 4 C. 6, 8, 10 D. 8, 10, 12 E. 10, 12, 14

1 0 . Number SleuthingOne number is four more than another. 28 results from adding twice the smaller to the larger. What are the numbers? A. 6, 10 B. 7, 11 C. 8, 12 D. 9, 13 E. 10, 14

Mathematics Round 4 Page 21 1 . Campaign PromisesAfter months on the campaign trail, a candidate was able to make two empty promises every fifteen seconds. How many such promises could he make in five minutes? A. 30 B. 40 C. 50 D. 60 E. 70

1 2 . Numbers25 is the ... A. sum of the first 5 odd numbers B. reciprocal of the product of 6 and 4 C. sum of the first 4 composite numbers D. product of the primes between 6 and 12 E. quotient of 10 squared divided by 5 squared

1 3 . IntegersMultiply the sum of the first three composite numbers by the fourth composite number. A. 162 B. 165 C. 168 D. 171 E. 174

1 4 . Roman MathWhat is the quotient of MMDV divided by XV? A. CLV B. CXXV C. CXLV D. CLXVII E. CXXXVI

1 5 . Business MathA compressor was sold at a loss of 6%. The owner lost $120 on the sale. How much did he pay for the compressor? A. $1200 B. $1400 C. $1700 D. $2000 E. $2600

1 6 . Retail MathBrunhilde's Bauble Boutique purchased a necklace for $225 and marked it up 80 percent. What is the selling price of this item? A. $340 B. $365 C. $405 D. $430 E. $465

1 7 . Ornithological ProblemsIn a cage are two species of birds. How many goatsuckers are in this cage with 45 birds if the number of gooneys is four times as many? A. 5 B. 6 C. 7 D. 8 E. 9

1 8 . Baseball StatisticsIf Shoeless Slugger Slaminski's batting average is between 0.325 and 0.33, it could be ... A. 0.319 B. 0.321 C. 0.323 D. 0.327 E. 0.333

1 9 . Operations with FractionsPerform these operations. 1/3 - 7/3 + 2/3 + 5/3 A. 1/3 B. 2/3 C. 3/3 D. 4/3 E. 5/3

2 0 . Chaos CalculationA 1923 earthquake in Tokyo caused fires that destroyed 360,000 houses or 71% of those in the city. About how many were not destroyed? A. 131,000 B. 147,000 C. 155,000 D. 163,000 E. 178,000

Mathematics Round 4 Page 32 1 . Decimal EquationsWhat is x if 2.5 = x/1.2? A. 2 B. 3 C. 4 D. 5 E. 6

2 2 . Algebraic SpeedsA bus takes x hours to cover y miles. How many hours will it take to travel z miles at the same rate? A. xyz B. xz/y C. x/xz D. xy/z E. yz/x

2 3 . Mathematical SetsAn infinite set is illustrated by the ... A. multiples of 6 B. stars in the Milky Way C. cars in Southern California D. number of women presidents E. water molecules in the oceans

2 4 . Special SequencesWhat is the next number in this sequence of binary numerals? 110 111 1000 1001 1010 A. 1100 B. 1011 C. 1110 D. 1101 E. 1111

2 5 . Linear EquationsSix less than three times what number equals one half of 90? A. 11 B. 13 C. 15 D. 17 E. 19

2 6 . SetsWhat is the intersection of these sets? {squares of whole numbers from 2 to 9} and {all even numbers} A. {2, 4, 6, 8} B. {3, 5, 7, 9} C. {9, 25, 49, 81} D. {4, 16, 36, 64} E. {22, 44, 66, 88}

2 7 . Time and Speed ProblemsA plane that averages 500 mph leaves Seattle for Boston at the same time a plane that averages 650 mph leaves Honolulu for Phoenix 3000 miles away. They will meet in ---- hours. A. 2.0 B. 2.2 C. 2.4 D. 2.6 E. 2.8

2 8 . Composite NumbersWhat is the sum of all the composite numbers between 3 and 11? A. 35 B. 37 C. 39 D. 41 E. 43

2 9 . MiningIf there are 1988 pounds of waste in a ton of ore, the part of the ore that is not waste amounts to ... A. .2% B. .4% C. .6% D. .8% E. 1%

3 0 . FactorsWhat is the sum of the prime factors of 60? A. 12 B. 13 C. 14 D. 15 E. 16

Mathematics Round 4 Page 43 1 . Measurement ConversionsYou can multiply millimeters by 0.04 to find a close approximation of ... A. rods B. feet C. yards D. inches E. meters

3 2 . Time Between DatesHow much time has elapsed between the 25th of December 1952 and the 4th of January 1988? A. 28 Yr., 4 Mo., 12 Da. B. 35 Yr., 0 Mo., 9 Da. C. 42 Yr., 11 Mo., 6 Da. D. 32 Yr., 5 Mo., 0 Da. E. 44 Yr., 10 Mo., 10 Da.

3 3 . Prime NumbersWhat is the sum of all the prime numbers between 12 and 27? A. 43 B. 58 C. 61 D. 72 E. 85

3 4 . Algebraic TransformationsWhat is W given that P = 2(L+W)? A. 2/LP B. PL -2 C. (L-2)/P D. 2P - 2L E. (P-2L)/2

3 5 . CarpentryA 2 1/2 inch nail is driven through a board 1 7/16 inches thick and into a post. How far into the post does the nail extend? A. 1 1/16" B. 1 3/16" C. 1 5/16" D. 1 7/16" E. 1 9/16"

Mathematics Round 4 - Answers1. B2. C3. A4. D5. B6. C7. D8. D9. C10. C11. B12. A13. A14. D15. D16. C17. E18. D19. A20. B21. B22. B23. A24. B25. D26. D27. D28. B29. C30. A31. D32. B33. D34. E35. A

Mathematics Round 5 Page 11 . LaddersYou start on the middle rung of a ladder. You go up 5 rungs, then down 11, then up 7, and finally up 8 to the top rung. How many rungs are on this ladder? A. 17 B. 19 C. 21 D. 23 E. 25

2 . Alien ComputationOn Planet Xgyrnx, 2 zorts equal 8 muugs and 16 muugs equal 1 hoohah. How many zorts are in 7 hoohahs? A. 16 B. 22 C. 28 D. 32 E. 36

3 . LeversA 20-pound weight 18 inches from the fulcrum balances a 36-pound weight how many inches from the fulcrum? A. 8 B. 10 C. 12 D. 14 E. 16

4 . Pie PortionsTo divide a large pizza into 20 equal pieces, each slice is cut at ---- degrees. A. 16 B. 18 C. 20 D. 22 E. 24

5 . Mathematical MeasuresWhat is the total number of feet in 1/2 mile + 22 yards + 600 inches? A. 1378 B. 2756 C. 3482 D. 4280 E. 5396

6 . Fraction DivisionDivide the sum of 1/2 and 1/3 by 10/11. A. 5/6 B. 7/8 C. 9/10 D. 11/12 E. 13/14

7 . The Great Barrier ReefAt its widest point, the Great Barrier Reef is about 90 miles wide. Express this distance in kilometers. A. 105 B. 125 C. 145 D. 165 E. 185

8 . Flight MathAn airplane flying at 4.2 miles per minute covers how many miles in 5 hours? A. 1220 B. 1230 C. 1240 D. 1250 E. 1260

9 . Amphibian AveragesThe average weight of 5 frogs is 8 pounds. The first 4 frogs weigh 6, 12, 8, and 10 pounds. The fifth frog weighs ---- pounds. A. 2 B. 4 C. 6 D. 8 E. 10

1 0 . Scientific NotationWhat number divided by 10,000 equals 10 to the second power? A. one million B. ten million C. one billion D. one hundred million E. one hundred thousand

Mathematics Round 5 Page 21 1 . ProbabilityIf you pull one card from a standard deck, what are the chances that it is either a black queen or a red king? A. 2 in 9 B. 1 in 8 C. 2 in 7 D. 3 in 11 E. 1 in 13

1 2 . Land ValueRon is looking at 5 similar parcels of farmland. Which has the lowest price per acre? A. 5 acres for $4000 B. 20 acres for $6000 C. 10 acres for $10,000 D. 250 acres for $25,000 E. 400 acres for $50,000

1 3 . Angle FractionsHow many degrees are in 1/5 of 1/4 of a straight angle? A. 9 B. 12 C. 15 D. 18 E. 20

1 4 . Time AnglesIn three and 1/4 hours, the minute hand of a clock rotates through an angle of how many degrees? A. 965 B. 990 C. 1080 D. 1125 E. 1170

1 5 . Math OperationsFrom the sum of (1/8 of 200) and (.70 of 300) subtract (3/8 of 100). A. 184.5 B. 197.5 C. 272.5 D. 294.5 E. 304.5

1 6 . Internet MathIn January of 1996, 202 of the 435 House of Representatives members had email addresses. What percentage of the House lacked such addresses? A. 36 B. 41 C. 54 D. 62 E. 73

1 7 . DecimalsWhich is a repeating decimal? A. .57557555755557 ... B. 3.1415926535897 ... C. .00600660066600 ... D. .40414243444546 ... E. .39993999399939 ...

1 8 . Clock AnglesA minute hand initially pointing at 12 will point to what number on the clock after rotating through 180 degrees? A. 3 B. 6 C. 8 D. 9 E. 12

1 9 . InflationIn 1960, a big milkshake cost 30 cents. Today, a shake half the size costs $1.20. The cost per ounce has increased by ---- percent. A. 300 B. 400 C. 500 D. 600 E. 700

2 0 . Number ProblemsSix consecutive numbers are given. The sum of the first three is 36. What is the sum of the last three? A. 42 B. 45 C. 48 D. 51 E. 54

Mathematics Round 5 Page 32 1 . NetworksIf you connect telephone lines from each house in a 4-house town to every other house, how many lines are needed? A. 4 B. 5 C. 6 D. 7 E. 8

2 2 . Collecting the CashJill got one cent on Tuesday. Each day thereafter, she got twice as much as the day before. At the end of the ninth day, she had ... A. $5.09 B. $5.11 C. $5.13 D. $5.15 E. $5.17

2 3 . Linear EquationsThe sum of three integers is one hundred seventy-five. The second is ten more than twice the first. The third is three times the second. The smallest number is ... A. 10 B. 15 C. 20 D. 25 E. 30

2 4 . TrianglesWhich triangle could not have the angles with which it is paired? A. right 40-90-50 B. obtuse 20-60-100 C. scalene 50-60-70 D. equilateral 60-60-60 E. isosceles 25-35-120

2 5 . Scientific Notation1.34 times 10 to the 11th power is ... A. 134 thousand B. 134 million C. 134 billion D. 134 trillion E. 134 quadrillion

2 6 . Senate MathWhen the U.S. Senate voted on a particular bill, six were absent and four abstained. Of the rest, 60% voted yea and 40% voted nay. How many voted nay? A. 30 B. 32 C. 34 D. 36 E. 38

2 7 . Number ProblemsSince the sum of two numbers is 72, and one of them is five times the other, what is the smaller number? A. 8 B. 9 C. 10 D. 11 E. 12

2 8 . Water WeightIf a gallon of water weighs about 8.3 pounds, the weight of 20 cups of water is about ---- pounds. A. 9.6 B. 10.4 C. 11.8 D. 12.3 E. 13.5

2 9 . FractionsWhich fraction is not correctly reduced to lowest terms? A. 16/44 = 4/11 B. 18/56 = 5/14 C. 42/126 = 1/3 D. 128/344 = 16/43 E. 144/244 = 36/61

3 0 . Square NumbersWhich is not twice the value of a number that is a perfect square? A. 18 B. 32 C. 64 D. 72 E. 98

Mathematics Round 5 Page 43 1 . Myth MathExpress as a binary numeral the number of labors demanded of Hercules by Hera. A. 1001 B. 1010 C. 1011 D. 1100 E. 1101

3 2 . Travel TimeRicky and Lucy are 833 miles apart traveling toward each other. Ricky averages 54 mph and Lucy 65 mph. They will meet in ---- hours. A. 3 B. 4 C. 5 D. 6 E. 7

3 3 . Office AreaBruce Wayne has a 10' by 15' dressing room in his 2000 square foot underground office. What percentage of the area of the office is taken up by the dressing room? A. 5.5 B. 7.5 C. 9.5 D. 11.5 E. 13.5

3 4 . SequencesWhat is the next number in this sequence? 64 16 4 1 .25 ... A. .5 B. .125 C. .875 D. .0625 E. .01325

3 5 . Plane Figure PartitionsThe diagonals from a single vertex in an octagon form how many triangles? A. 3 B. 4 C. 5 D. 6 E. 7

Mathematics Round 5 - Answers1. B2. C3. B4. B5. B6. D7. C8. E9. B10. A11. E12. D13. A14. E15. B16. C17. E18. B19. E20. B21. C22. B23. B24. E25. C26. D27. E28. B29. B30. C31. D32. E33. B34. D35. D

Mathematics Round 6 Page 11 . Mathematical Expressions5x/8 could not mean ... A. 5x divided by 8 B. five-eighths of x C. the ratio of 5x to 8 D. the product of 8x and 5 E. the quotient of 5x and 8

2 . LinesAn oblique line is ... A. thick B. curved C. slanting D. parallel to another line E. perpendicular to another line

3 . DivisibilityA number is divisible by 12 if and only if it is divisible by both 3 and ... A. 1 B. 2 C. 4 D. 6 E. 8

4 . Plane FiguresThe more sides a regular polygon has, the greater ... A. its area B. its perimeter C. its number of midpoints D. the length of its diagonals E. the sum of its interior angles

5 . Mixture ProblemsA 36-ounce mixture of vinegar and water contains 14 ounces of water. If 4 ounces of vinegar are added, the percentage of vinegar in the mixture is ... A. 62 B. 63 C. 64 D. 65 E. 66

6 . TrianglesIf two sides of a triangle both measure 15, what could be the measure of the third side? A. 29 B. 31 C. 33 D. 35 E. 37

7 . Squares within SquaresFour 4" x 4" x 4' beams are arranged to form a square. The area of the inner square is how many square inches? A. 1681 B. 1764 C. 1849 D. 1936 E. 2025

8 . Taxi FareRawahl's elephant taxi service charges 28 rupees for the first quarter mile and 12 rupees for each additional quarter mile. A four-mile trip costs ---- rupees. A. 176 B. 180 C. 192 D. 208 E. 214

9 . Distance ProblemsA motorcycle that travels 600 yards in 20 seconds travels how many feet in 1/5th of a second? A. 16 B. 18 C. 20 D. 22 E. 24

1 0 . PolygonsHow many more degrees are in the interior angles of a square than in a triangle? A. 30 B. 45 C. 60 D. 90 E. 180

Mathematics Round 6 Page 21 1 . InequalitiesFor which value of p is this inequality true? 3p > - 12 A. -7 B. -6 C. -5 D. -4 E. -3

1 2 . ProportionsWhich proportion is incorrect? A. 3/7 = 9/21 B. 6/12 = 4/8 C. 5/8 = 10/16 D. 4/5 = 14/20 E. 7/9 = 56/72

1 3 . Map ProportionsA map has a scale in which 1 inch represents 50 miles. 450 miles are represented by how many inches? A. 4 1/2 B. 6 C. 7 1/2 D. 9 E. 10 1/2

1 4 . Grade AveragesWhat grade must Igor receive on his fourth test to raise his average to 80 if his scores on his first three tests were as follows? 69 81 74 A. 84 B. 88 C. 92 D. 96 E. 98

1 5 . AlgebraWhat is t if 16 = 2(t+3)? A. 2 B. 3 C. 4 D. 5 E. 6

1 6 . Installment PurchasesYou can buy a boat for $6800 cash or pay $1000 down and $270 per month for 24 months. How much will you save by paying cash? A. $350 B. $460 C. $570 D. $680 E. $790

1 7 . RatiosExpress this continued ratio in lowest terms. 4 tons to 1500 pounds to 50 pounds A. 140 to 20 to 1 B. 160 to 30 to 1 C. 180 to 40 to 1 D. 200 to 50 to 1 E. 220 to 60 to 1

1 8 . AveragesIsaac caught a 16 inch trout and a 20 inch trout. How many inches long must his next fish be for the average of the three to be 21 inches? A. 24 B. 25 C. 26 D. 27 E. 28

1 9 . Prodigious ProducersIn the U.S., five million farmers provide food for 260 million people. So, farmers comprise what percent of the population? A. 2 B. 4 C. 6 D. 8 E. 10

2 0 . TimeHow many months occurred between March 1st 1944 and January 31st 1951? A. 64 B. 69 C. 73 D. 78 E. 83

Mathematics Round 6 Page 32 1 . Area MeasuresThe difference between 9 miles square and 9 square miles is ---- square miles. A. 27 B. 36 C. 45 D. 63 E. 72

2 2 . Treasure PilesThe Lost Dutchman divided his 80 bags of gold dust into a large and small pile. How many bags were in the small pile if the large pile had 18 more than the small pile? A. 17 B. 24 C. 31 D. 38 E. 43

2 3 . RoundingWhich numeral on the left has been incorrectly rounded to the numeral on the right? A. 96.621 - 97 B. 46.289 - 47 C. 419.906 - 420 D. 634.181 - 634.2 E. 228.346 - 228.35

2 4 . Such a Deal!Barry bought a crate of rubber chickens that normally sells for $92 for $78.20. This sale price was what percent off the retail price? A. 15% B. 17% C. 19% D. 21% E. 23%

2 5 . FinanceWhen Jean made a down payment of $1500 on a new $25,000 car, she qualified for a $600 factory rebate. Her monthly payments will be initially based on a principal of ... A. $22,900 B. $23,500 C. $24,400 D. $25,000 E. $25,600

2 6 . SequencesWhat is the 10th term of the arithmetic sequence that begins with 1, 6, 11, 16? A. 36 B. 46 C. 56 D. 66 E. 76

2 7 . Roman NumeralsSubtract CLXXIV from M. A. LVI B. DXXVI C. CCCVI D. CDXXXVI E. DCCCXXVI

2 8 . Continued RatiosWhich expression of this continued ratio is in lowest terms? 2 tons to 400 pounds to 80 ounces A. 200 to 20 to 1 B. 400 to 40 to 1 C. 600 to 60 to 1 D. 800 to 80 to 1 E. 500 to 50 to 1

2 9 . Percentage25% of ---- equals 225. A. 750 B. 900 C. 650 D. 800 E. 850

3 0 . FactoringThis is the prime factorization of what number? 2 x 2 x 3 x 3 x 5 x 7 A. 180 B. 360 C. 720 D. 1180 E. 1260

Mathematics Round 6 Page 43 1 . EmploymentGertrude works in a llama supercharging shop from half past 8 a.m. to 5 p.m. with a 45 minute unpaid lunch break. In a 5-day week at $8 per hour, she earns ... A. $240 B. $260 C. $280 D. $310 E. $360

3 2 . Extreme TemperaturesThe highest temperature ever recorded in Frostbite Falls, Minnesota is 103 degrees Fahrenheit. If the absolute temperature range there is 158 degrees, what is the lowest temperature ever recorded? A. -35 B. -45 C. -55 D. -65 E. -75

3 3 . FractionsAdd just the proper fractions. 16/45 9/4 12/15 15/6 2/5 A. 1 1/6 B. 1 2/5 C. 1 3/8 D. 1 4/7 E. 1 5/9

3 4 . Salary ProblemsJosephine Jones makes a gross annual salary of $46,800. What is her gross weekly salary? A. $700 B. $800 C. $900 D. $1000 E. $1100

3 5 . Military Time2200 hours is the same as ---- p.m. A. 7 B. 8 C. 9 D. 10 E. 11

Mathematics Round 6 - Answers1. D2. C3. C4. E5. D6. A7. D8. D9. B10. E11. E12. D13. D14. D15. D16. D17. B18. D19. A20. E21. E22. C23. B24. A25. A26. B27. E28. D29. B30. E31. D32. C33. E34. C35. D

Mathematics Round 7 Page 11 . ParenthesesIn which line is the resulting value half of 90? A. 4 + (3 x (7 - 4)) B. (4 + 3) x (7 - 4) C. 4 + ((3 x 7) - 4) D. ((4 + 3) x 7) - 4 E. (4 + (3 x 7)) - 4

2 . SolidsIf the sum of the edges of a cube is 60 feet, the volume of this cube is ---- cubic feet. A. 95 B. 105 C. 115 D. 125 E. 135

3 . DecimalsWhich number can be expressed as a terminating decimal? A. 7/9 B. -3/5 C. 25/9 D. -2/11 E. 10/33

4 . RentalsOffice space rents for $485 per month for 400 square feet. What is the monthly rent for 320 square feet? A. $362 B. $388 C. $400 D. $424 E. $436

5 . Cannonball CalculationsYou pile cannonballs in a pyramid with 5 layers, such that the top layer has 1, the next layer has 4, and the next 9, and the next 16. How many are needed for the 5th layer? A. 21 B. 23 C. 25 D. 27 E. 29

6 . ProportionsA 5-eared Chernobyl rabbit casts a shadow 60 feet long at the same time a 2-foot high 3-tailed dog casts a shadow of 5 feet. The rabbit is ---- feet tall. A. 6 B. 12 C. 18 D. 24 E. 32

7 . Fraction ComparisonWhich statement is not true? A. 4/5 < 5/6 B. 7/8 > 13/16 C. 1/2 > 31/64 D. 11/16 < 29/32 E. 10/12 < 19/24

8 . Counting CubesThe surface of a solid cube measuring five inches on a side was painted and then it was sliced into one-inch cubes. How many of those little cubes were painted on just one side? A. 12 B. 24 C. 54 D. 62 E. 96

9 . VelocityWhat is the velocity in feet per second of an object that flies 45,000 feet in 5 minutes? A. 50 B. 100 C. 150 D. 200 E. 250

1 0 . Town StatisticsIn a picturesque New England town with a population of 22,000, there are 440 real estate agents. What is the number of agents per capita? A. .02 B. .04 C. .06 D. .08 E. .10

Mathematics Round 7 Page 21 1 . Coons GaloreThis year the raccoons in Bill's corn patch increased by 3/7 of the number last year. Now he's got 140 of them. Last year he had ... A. 90 B. 92 C. 94 D. 96 E. 98

1 2 . Algebraic ExpressionsIn 24 hours, Zeke spends 1/2 of the time sleeping and 1/4 of the time slopping the pigs. How much of the day does Zeke spend doing other stuff? A. 1/2 / 1/4 B. 1/4 / 1/2 C. 1/2 + 1/4 D. 1 + 1/2 + 1/4 E. 1 - (1/2 + 1/4)

1 3 . Sale MathAt the Frank's Fine Finnery, six carp and four anchovies cost $33. Six carp and one anchovy cost $28.50. How much does one carp cost? A. $1.50 B. $2.50 C. $3.50 D. $4.50 E. $5.50

1 4 . Time AnglesHow many degrees does a minute hand move in 40 minutes? A. 200 B. 210 C. 220 D. 230 E. 240

1 5 . Square RootsThe square root of which choice corresponds to the number of players on the field from one pro football team at any given time? A. 49 B. 64 C. 81 D. 100 E. 121

1 6 . See You LaterA car leaves Northtown at 50 mph heading to Southtown 240 miles south while another car leaves Southtown heading north at 30 mph. They will be ---- miles from Northtown when they meet. A. 120 B. 130 C. 140 D. 150 E. 160

1 7 . Coordinate GeometryWhat is the diameter of a circle tangent to the x-axis with its center at (-4,6)? A. 6 B. 8 C. 10 D. 12 E. 14

1 8 . History and FractionsExpress as an improper fraction with a denominator of 2 the number of years cited in Lincoln's Gettysburg Address. A. 68/2 B. 87/2 C. 98/2 D. 126/2 E. 174/2

1 9 . TimeMultiply 4 hours 15 minutes and 20 seconds by 6. A. 25 hours 32 minutes B. 26 hours 10 seconds C. 25 hours 1 minute 15 seconds D. 26 hours 2 minutes 20 seconds E. 24 hours 6 minutes 30 seconds

2 0 . SetsWhich is a subset of this set? {papayas, kiwis, figs, mangoes, chokecherries) A. {mangoes, kiwis} B. {figs, tangerines} C. {papayas, guavas} D. {pineapples, pomegranates} E. {huckleberries, loganberries}

Mathematics Round 7 Page 32 1 . Metric Estimation10 centimeters is the approximate diameter of a(n) ... A. pea B. grape C. orange D. pumpkin E. watermelon

2 2 . Number PalindromesYou can make a number palindrome by starting with any number, adding the reverse of the number, and then adding the reverse of the sum to the sum, and so on. If you start with 76, what palindrome number do you come to? A. 121 B. 484 C. 606 D. 1111 E. 12212 3 . Number ProblemsIf the product of two different positive integers is 48, which of these could not be the sum of those integers? A. 14 B. 16 C. 19 D. 22 E. 26

2 4 . Age ProblemsGomer Garbanzo will be 78 years old in 9 years if he was ---- years ago. A. 45 years old 16 B. 46 years old 17 C. 47 years old 18 D. 48 years old 19 E. 49 years old 20

2 5 . SetsAll deceased Asian arthropods comprise which kind of set? A. null B. finite C. empty D. disjoint E. equivalent

2 6 . AnglesThe greatest angle formed by four adjacent acute angles could not exceed ---- degrees. A. 45 B. 90 C. 180 D. 270 E. 360

2 7 . Number PalindromesMultiplying 10989 by what single digit results in that same number with its digits reversed? A. 1 B. 3 C. 5 D. 7 E. 9

2 8 . FractionsReduce this fraction to lowest terms. 128/224 A. 3/5 B. 4/7 C. 5/9 D. 6/11 E. 7/13

2 9 . RatiosIf 1120 acres of land are divided among three families in the ratio of 2 to 5 to 7, how many acres comprise the largest parcel? A. 340 B. 420 C. 480 D. 500 E. 560

3 0 . EquationsWhich equation is incorrect? A. 6x + 3 = 15 when x = 2 B. 5x + x = 30 when x = 5 C. 4x + 1 = 17 when x = 4 D. 3x + 8 = 24 when x = 6 E. 2x + 10 = 16 when x = 3

Mathematics Round 7 Page 43 1 . Feeding FrenziesGrizzly Adams divides an 80-lb. bag of corndodgers among his 4 bears. The 2 cubs each get half what the mom gets, and the poppa gets twice as much as mom. The mom gets ... A. 10 lbs. B. 20 lbs. C. 30 lbs. D. 40 lbs. E. 50 lbs.

3 2 . High FinanceBoris gave $115 as a deposit on a slightly used iron maiden. This represented 20% of the total cost. How much does he still owe? A. $350 B. $425 C. $460 D. $520 E. $575

3 3 . Mythical EquationsHalf of the number of ---- equals the solution to this equation. 3x - 6 = 5x - 18 A. Fates B. Muses C. Pleiades D. heads of Cerberus E. labors of Hercules

3 4 . SolutionsTo make a saline solution of .75 grams per 100 milliliters, how many grams of salt should be added to one liter of pure water? A. .075 B. .75 C. 7.5 D. 75 E. 750

3 5 . Housing InflationEd bought a house in 1978 for $40,000. In 2008, he sold it for $460,000. The value of his house increased by how much annually? A. $12,000 B. $14,000 C. $16,000 D. $18,000 E. $20,000

Mathematics Round 7 - Answers1. D2. D3. B4. B5. C6. D7. E8. C9. C10. A11. E12. E13. D14. E15. E16. D17. D18. E19. A20. A21. C22. B23. D24. E25. B26. E27. E28. B29. E30. D31. B32. C33. E34. C35. B

Mathematics Round 8 Page 11 . Algebraic Transpositiona = b/cd. What is d? A. abc B. ac/b C. b/ac D. ab/c E. c/ba

2 . ProbabilityThere is a one-in-six chance that a dropped ... A. die will come up 4 B. coin will come up tails C. box will land on an edge D. cat will land on its paws E. cone will land on its base

3 . Camel CalculationsAt Khalil's Used Camel Lot, a low mileage dromedary that listed at $12,000 was on sale for $10,920, a price reduction of ---- percent. A. 7 B. 9 C. 11 D. 13 E. 15

4 . Mechanical DrawingThe scale on a drawing says 3 inches equal 1 foot. The drawing is what fraction of the size of the actual object? A. 1/8 B. 1/6 C. 1/4 D. 1/3 E. 1/2

5 . TrianglesConsider two similar right triangles. The shortest side of the smaller triangle is 6 and its hypotenuse is 8. If the shortest side of the larger triangle is 18, what is its hypotenuse? A. 24 B. 26 C. 28 D. 32 E. 34

6 . ProportionAt the same time that a 5' deer hunter casts a 20' shadow, immediately behind him stood a grizzly bear casting a 45' shadow. The bear was ---- feet tall. A. 9.75 B. 10.5 C. 11.25 D. 12.5 E. 13

7 . Venn DiagramsOf the 29 doggies in the window, 17 had waggly tails and 21 had floppy ears. How many had both characteristics? A. 1 B. 3 C. 5 D. 7 E. 9

8 . GearingTwo gear wheels are meshed. One has 36 teeth and the other 8 teeth. How many times must the smaller wheel turn before the larger wheel makes a complete revolution? A. 3 B. 3.5 C. 4 D. 4.5 E. 5

9 . PolynomialsSimplify this algebraic expression. -5x - 7y - 10z - (10x + 2y - 5z) A. -5x - 5y - 15z B. -15x + 9y + 15z C. 5x - 5y - 5z D. -15x - 9y - 5z E. 15x - 9y - 15z

1 0 . Ore CalculationsIf 0.3% of the ore extracted from the Ampheta Mine is platinum, how many ounces of platinum are there per ton of ore? A. 88 B. 90 C. 92 D. 94 E. 96

Mathematics Round 8 Page 21 1 . Teeny-Weeny NumbersHow many zeroes are needed to write the decimal equivalent of one billionth? A. 7 B. 8 C. 9 D. 10 E. 11

1 2 . Moolah MassSince the weight of a quarter is 5.67 grams, the value of a kilogram of quarters is about ... A. $33 B. $44 C. $55 D. $66 E. $77

1 3 . High ProbabilityAn event certain to occur has a probability of ... A. 0 B. 1 C. 10 D. 100 E. 1000

1 4 . Scientific Notation8.4 times 10 to the negative 5th power is ... A. .0084 B. .00084 C. .000084 D. .0000084 E. .00000084

1 5 . DrivingGus burned 18.5 gallons of gas during the time that his odometer changed from 35,225 to 35,484. What was his mpg? A. 13 B. 14 C. 15 D. 16 E. 17

1 6 . Tip ProblemsJacques left a $6.30 tip after taking his secretary to a quiet lunch. This was 15% of the total bill. How much was the bill? A. $26 B. $38 C. $42 D. $54 E. $60

1 7 . SetsWhich number is in the intersection of whole numbers from 11 to 52 evenly divisible by 3 and whole numbers between 1 and 100 evenly divisible by 4? A. 28 B. 30 C. 32 D. 34 E. 36

1 8 . Dishing Out InequalitiesWhat is the greatest number of servings of at least 3/4 cup that can be made from a container of rice that holds 21 3/4 cups? A. 21 B. 23 C. 25 D. 27 E. 29

1 9 . Linoleum AreaHow many square feet of linoleum are needed to cover the floor of both a 6' by 5' bathroom and a 3' by 9' hallway? A. 47 B. 57 C. 67 D. 77 E. 87

2 0 . DecimalsWhich is not a correct decimal equivalent of a fraction? A. 3/5 - .6 B. 4/9 - .44 C. 5/6 - .88 D. 1/8 - .125 E. 2/7 - .2857

Mathematics Round 8 Page 32 1 . Continued RatiosRepresent 6 inches to 2 feet to 2 yards in simplest form. A. 1 to 4 to 8 B. 1 to 2 to 6 C. 1 to 2 to 3 D. 1 to 3 to 4 E. 1 to 4 to 12

2 2 . Linear EquationsWhat is the value of y if -2 = 22 - 4y? A. -8 B. -3 C. 2 D. 4 E. 6

2 3 . Triangle AnglesIf the largest angle in a triangle is 75 degrees and the smallest angle is 3/5 that size, the remaining angle is ---- degrees. A. 60 B. 70 C. 80 D. 90 E. 100

2 4 . Input-OutputYou put 8 into your Swiss Army function machine and out comes 3. You put in 11 and out comes 6. You put in -3 and out comes -8. What comes out if you put in -12? A. -14 B. -15 C. -16 D. -17 E. -18

2 5 . Island EconomicsOn Kabonga, an island with no currency, 40 bananas equal 8 conch shells, 16 conch shells equal 10 fish, and 100 fish equal 1 Elvis record. How many bananas equal 1 Elvis record? A. 500 B. 600 C. 700 D. 800 E. 900

2 6 . Mixture MathA 24-ounce mixture of alcohol and water contains 3 ounces of alcohol. If 4 ounces of alcohol are added, then the alcohol in the mixture becomes what percentage? A. 21 B. 23 C. 25 D. 27 E. 29

2 7 . Weight ConversionsTo find out about how much you weigh in kilograms, divide your weight in pounds by ... A. 2.2 B. 3.3 C. 4.4 D. 5.5 E. 6.6

2 8 . Piled Metric MeasuresFifteen identical boxes sit on top of one another in a pile 3 meters high. In millimeters, what is the height of each box? A. 50 B. 100 C. 150 D. 200 E. 250

2 9 . A Fishy Question4000 trout are stocked in 3 lakes in the ratio of 5 to 7 to 13. The difference between the largest and smallest number of fish distributed per lake is ... A. 1220 B. 1240 C. 1260 D. 1280 E. 1300

3 0 . MeasurementWhich unit of measure equals 2150 cubic inches? A. rod B. bushel C. fathom D. furlong E. nautical mile

Mathematics Round 8 Page 43 1 . Metric ApproximationsFive cubic centimeters just about equals the volume of one ... A. shoe box B. teaspoon C. billiard ball D. kernel of corn E. paperback book

3 2 . Number SequencesWhat is the next number in this sequence? 63 56 49 42 35 ... A. 25 B. 26 C. 27 D. 28 E. 29

3 3 . Fraction EquivalenceThe value of which fraction is closest to 1.36? A. 13/10 B. 15/11 C. 17/12 D. 19/13 E. 21/14

3 4 . Elevation ModificationIf the rate of uplift at a site is 12 centimeters per century and the erosion rate is 5 centimeters per century, the elevation is increasing by how many centimeters per decade? A. 7 B. .7 C. .07 D. .007 E. .0007

3 5 . DenominatorsWhat common denominator should be used when you add these fractions? 17/26 plus 12/39 A. 50 B. 64 C. 78 D. 86 E. 92

Mathematics Round 8 - Answers1. C2. A3. B4. C5. A6. B7. E8. D9. D10. E11. B12. B13. B14. C15. B16. C17. E18. E19. B20. C21. E22. E23. E24. D25. D26. C27. A28. D29. D30. B31. B32. D33. B34. B35. C

Mathematics Round 9 Page 11 . Clock AnglesIn 40 minutes, the second hand of a watch sweeps through an angle of how many degrees? A. 3,600 B. 7,200 C. 10,800 D. 14,400 E. 16,000

2 . Seed DistributionJohn must divide 630 pounds of apple seeds among three settlements. The second gets twice as many as the first. The third gets twice as many as the second. How many pounds does the third get? A. 280 B. 360 C. 420 D. 490 E. 560

3 . ReasoningWhich statement is true? A. 36 > 63 B. 12(2) = 12/2 C. 6 + 9 = 14 or 8 - 3 = 5 D. 8/4 = 2 and 12 + 2 = 16 E. If 18/2 = 9 then 18(2) = 34

4 . Lengthy ArithmeticDivide 1 million by 1 thousand. Divide that quotient by 4 and take 10% of that quotient. Multiply that number by 4. What is the square of the product? A. 10 B. 100 C. 1000 D. 10,000 E. 100,000

5 . Ocular MathBinoculars with a field of view of 160 feet at 500 yards have a field of view of ---- feet at one mile. A. 503 B. 523 C. 543 D. 563 E. 583

6 . EquivalenceWhich is not equivalent to the others? A. 99.96 B. 100 - .04 C. (9.8)(10.2) D. 10 squared E. (10 - .2)(10 + .2)

7 . Motion ProblemsJake rode 50 miles from 8:30 a.m. to 9:45 a.m. at an average speed of ---- miles per hour. A. 25 B. 30 C. 35 D. 40 E. 45

8 . Propeller ProportionsThe ratio of propeller rotation to that of an engine is 3 to 5. The engine is turning at 4000 rpm. The propeller rate is ---- rpm. A. 1800 B. 2000 C. 2200 D. 2400 E. 2600

9 . MeasurementThe same term can refer either to units of heat or to units of ---- measurement. A. area B. time C. weight D. volume E. angular

1 0 . Integer SyllabicationWhat is the product of the smallest integer with two syllables and the largest integer with one syllable? A. 22 B. 48 C. 66 D. 84 E. 140

Mathematics Round 9 Page 21 1 . Alien MathAn alien bug was 1/4 inch long when he landed in Peculiar, Missouri. It doubled its length every 20 minutes. How long was it in 3 hours? A. 4' 1" B. 5' 4" C. 6' 10" D. 7' 2" E. 8' 6"

1 2 . Geometric DecorHow many right triangles with sides of 2 feet and 8 feet would exactly fit without overlapping on a floor measuring 32 feet by 8 feet? A. 25 B. 32 C. 40 D. 46 E. 52

1 3 . Fowl RatiosHow many pheasants are in a pen of 400 birds containing only pheasants, chukkars, and quail in the ratio of 5 to 3 to 2? A. 160 B. 180 C. 200 D. 220 E. 240

1 4 . Binary SystemExpress as a binary numeral the number of U.S. states bordering the Pacific Ocean. A. 10 B. 11 C. 100 D. 101 E. 111

1 5 . Area PlottingYou draw a line 5' north, 6' east, 4' north, 4' east, 9' south, and 10' west. The area of the enclosed figure is ---- square feet. A. 33 B. 44 C. 55 D. 66 E. 77

1 6 . Wormy MathThe price of fishing worms dropped from $3 for 2 pounds to $3 for 6 pounds. How many more pounds of worms can now be bought for $12? A. 12 B. 14 C. 16 D. 18 E. 20

1 7 . RejectsA blunderbuss manufacturer found that .2% of his products must be rejected. Five products were rejected in April. How many items passed inspection that month? A. 1595 B. 1895 C. 2195 D. 2495 E. 2695

1 8 . Percentage120 is what percent of 300? A. 28 B. 32 C. 40 D. 46 E. 54

1 9 . Mathematical SequencesWhat number follows in this sequence? 1 3 7 15 31 ... A. 46 B. 57 C. 63 D. 72 E. 75

2 0 . CubesYou have a 3x3x3 cube made from 27 smaller cubes. If you paint the outside of the big cube and then disassemble it, how many of the small cubes will have exactly three painted faces? A. 4 B. 6 C. 8 D. 12 E. 16

Mathematics Round 9 Page 32 1 . Linear EquationsSolve this equation for z. 2z - 6 = 7z + 14 A. -1 B. -2 C. -3 D. -4 E. -5

2 2 . Snake River StatisticsThe Snake River begins in Yellowstone National Park at an altitude of 9500 feet. Where it joins the Columbia River 1036 miles downstream, its altitude is 340 feet. About how many feet does it drop per mile? A. 6 B. 9 C. 12 D. 15 E. 18

2 3 . Figuring the FaresA bus ride to Dallas from the airport costs a total of $14 for 2 parents and 3 children who go for half the adult price. The adult fare is ... A. $2.50 B. $3.00 C. $3.50 D. $4.00 E. $4.50

2 4 . Big NumbersHow many zeroes do you need to write the numeral for 3.4 trillion? A. 11 B. 12 C. 13 D. 14 E. 15

2 5 . DebtZelda pays $3000 per month on an $84,000 no-interest loan. It will take 2 years and ---- months to pay off this debt. A. 2 B. 4 C. 6 D. 8 E. 10

2 6 . Reciprocals0.250 is the reciprocal of ... A. 2.5 B. 4.0 C. 8.0 D. 10.5 E. 25.0

2 7 . AnglesWhat is the measure of the fourth angle if the measures of three of the four angles around a single point are 66, 54, and 92 degrees? A. 68 B. 88 C. 108 D. 128 E. 148

2 8 . Prime NumbersHow many primes are between 20 and 40? A. 2 B. 3 C. 4 D. 5 E. 6

2 9 . WheelsIf every pair of spokes on a bicycle wheel forms an angle of 18 degrees, how many spokes are there? A. 14 B. 16 C. 18 D. 20 E. 22

3 0 . SquaresWhich is not a perfect square? A. 144 B. 169 C. 196 D. 225 E. 262

Mathematics Round 9 Page 43 1 . Mixture ProblemsWhat is the total value of a mixture of herbs consisting of 20 pounds of basil worth 65 cents per pound and 10 pounds of sage at 75 cents per pound? A. $15.60 B. $18.40 C. $20.50 D. $22.20 E. $24.10

3 2 . Roman MathMultiply the Roman numeral XIV by L. A. CM B. DCC C. DCIX D. LDXX E. MCXV

3 3 . Contest AveragesBullwinkle needs an average score of 86 to win the moose beauty contest. To exactly reach this mark, what must his sixth score be if his first five scores were 84, 96, 82, 92, and 88? A. 74 B. 76 C. 78 D. 80 E. 82

3 4 . Multifarious MeasuresWild Eddie said he was heading off on an extended trip for two score fortnights. How many days will he be gone? A. 400 B. 440 C. 480 D. 520 E. 560

3 5 . Consumer MathHow many pounds of potatoes at five pounds for $3 could be purchased for the same price as one hooded floral dress worn by Cher in 1969 that sold at auction for $4,800? A. 6,000 B. 8,000 C. 10,000 D. 12,000 E. 14,000

Mathematics Round 9 - Answers1. D2. B3. C4. D5. D6. D7. D8. D9. E10. D11. B12. B13. C14. D15. D16. C17. D18. C19. C20. C21. D22. B23. D24. A25. B26. B27. E28. C29. D30. E31. C32. B33. A34. E35. B

Mathematics Round 10 Page 11 . Reciprocals0.0250 is the reciprocal of ... A. 25 B. 40 C. 58 D. 65 E. 90

2 . RoundingWhich value has not been correctly rounded to the nearest dollar? A. $9.85 - $10.00 B. $14.53 - $14.00 C. $18.26 - $18.00 D. $72.90 - $73.00 E. $162.41 - $162.00

3 . Roman NumeralsMultiply XVII by IX. A. MCVIV B. CLIII C. XCVII D. DCXIV E. XXXII

4 . ExponentsIt is not true that the ... A. cube of 2 equals 8 B. cube of 3 equals 9 C. cube of 4 equals 64 D. square of 12 equals 144 E. square of 29 equals 841

5 . AveragingMort's test scores were 70, 72, 68, and 66. He needs what score on his next test to raise his average to 75? A. 96 B. 97 C. 98 D. 99 E. 100

6 . InterestMr. Trump received $42 simple interest on his investment of $600 at the end of two years. His rate of interest was ---- percent. A. 3 B. 4 C. 5 D. 3.5 E. 4.5

7 . Rope SectionsYou have a 40-foot rope cut into three pieces. The longest length is 3 times as long as the middle-sized length. The shortest length, 23 feet shorter than the longest, is ---- feet. A. 3 B. 4 C. 5 D. 6 E. 7

8 . Quick TripsThe space shuttle traveled about 16,000 mph in space. If John Glenn could drive his Ford that fast, about how many minutes would it take him to go from Plymouth Rock to the Golden Gate? A. 2 B. 5 C. 7 D. 11 E. 15

9 . DecimalsWhat fraction is equivalent to the repeating decimal 0.58333333333...? A. 3/12 B. 5/12 C. 7/12 D. 9/12 E. 11/12

1 0 . Museum MathThe Great Auk exhibition at the Smithsonian opened on Monday. On Friday, there were 4400 visitors. If attendance doubled every day, how many people saw the display on opening day? A. 175 B. 200 C. 225 D. 250 E. 275

Mathematics Round 10 Page 21 1 . Exponent SimplificationWhat is -3 to the 6th power? A. -27 B. 81 C. - 243 D. 729 E. -2187

1 2 . Area CalculationThe area of a 4-foot-wide sidewalk surrounding a 10 by 50 foot garden is ---- square feet. A. 544 B. 554 C. 564 D. 574 E. 584

1 3 . Algebraic ExpressionsEvery day, a sponge salesman sells S sponges at C cents each. He collects D dollars during a period of X days. D equals ... A. 100S/CX B. SX/100C C. 100/SCX D. 100C/SX E. SCX/100

1 4 . High FinanceTamara owned 2/5 of a house in partnership with others. The home was sold for a profit of $26,000. Tamara's portion of the profit is ... A. $9,600 B. $10,400 C. $10,800 D. $11,300 E. $11,700

1 5 . Commission ProblemsMr. Daukington earns $2000 per week plus a commission of $24 for each painting he sells. How many paintings must he sell to make $4360 in two weeks? A. 10 B. 13 C. 15 D. 22 E. 25

1 6 . Choo Choo MathWhile you are at a railroad crossing, a train going 60 miles per hour takes 15 seconds to pass. The train is ---- feet long. A. 1248 B. 1320 C. 1442 D. 1510 E. 1636

1 7 . Operations with FractionsWhen these operations are performed and the answer is reduced to simplest terms, what is the denominator? (1/2 + 1/6) + 2/3 - (1/3 + 3/4) A. 2 B. 3 C. 4 D. 5 E. 6

1 8 . Astounding Age ProblemsHow old will Methuselah be in 156 years if he was 721 years old 34 years ago? A. 507 B. 608 C. 709 D. 810 E. 911

1 9 . SetsThe set of all numbers that are multiples of nine is the same type as the set of all ... A. points on a line B. pentagons with six sides C. living insects in the Amazon D. prime numbers less than five billion E. consonants in the English language

2 0 . Signed Number AveragesWhat was the average noontime temperature at Frostbite Falls Minnesota during a six-day period given these official readings? -10 +2 -6 -14 0 +4 A. -3 B. -4 C. -5 D. -6 E. -7

Mathematics Round 10 Page 32 1 . AnglesIn a Star of David, the angle at each of the points equals how many degrees? A. 15 B. 30 C. 45 D. 60 E. 90

2 2 . Roman DivisionDivide DC by XL. A. XV B. IX C. XIV D. XL E. VIII

2 3 . P iWhat digit occupies the thousandths place in the number "pi"? A. 1 B. 3 C. 5 D. 7 E. 9

2 4 . Mathematical StatementsWhich is true? A. -3 < -4 B. .3 < 1/3 C. 7/10 < 20/30 D. 122 < 11 squared E. 1/4 squared < 1/16

2 5 . Moving AlongA truck travels 540 yards in 15 seconds at a constant speed. How many feet does it travel in 1/3 second? A. 18 B. 24 C. 30 D. 36 E. 42

2 6 . Army-Navy TimeWhich typically occurs at 1700 hours? A. teachers are asleep B. laborers get off work C. bakers make doughnuts D. students have breakfast E. viewers watch the "Tonight Show"

2 7 . Linear Equations3 times a number is increased by 6. The result is the same was when 5 times the number is decreased by 24. What is the number? A. 11 B. 12 C. 13 D. 14 E. 15

2 8 . Pony Express MetricsPony Express riders changed horses every 15 miles. This equals how many kilometers? A. 18 B. 24 C. 29 D. 35 E. 41

2 9 . RectanglesThe perimeter of a rectangle is 72 cm and its length is 17 cm. Its width in centimeters is ... A. 19 B. 21 C. 23 D. 25 E. 27

3 0 . Polygon PerimetersThe base of an equilateral triangle is placed against one side of a regular pentagon. If every side of these figures is 4 inches, the perimeter of the combined figure is ---- inches. A. 24 B. 28 C. 32 D. 36 E. 40

Mathematics Round 10 Page 43 1 . RoundingWhich number has been incorrectly rounded? A. 5.55256, 6 B. .89138, .89 C. 1.6442, 1.64 D. .93852, .94 E. .47737, .478

3 2 . Late for WorkThe guy who hit his snooze alarm every five minutes, 864 times in a row, went to work how many days late? A. 1 B. 2 C. 3 D. 4 E. 5

3 3 . PerimetersThe semiperimeter of a regular dodecagon with sides of 6 meters is how many meters? A. 12 B. 18 C. 24 D. 36 E. 40

3 4 . Number SequencesWhat is the missing number in this sequence? 0 2 6 14 30 62 -- 254 A. 94 B. 126 C. 148 D. 180 E. 202

3 5 . ExponentsMultiply 2 to the 3rd power by 2 to the 5th power. A. 32 B. 64 C. 128 D. 256 E. 512

Mathematics Round 10 - Answers1. B2. B3. B4. B5. D6. D7. B8. D9. C10. E11. D12. A13. E14. B15. C16. B17. C18. E19. A20. B21. D22. A23. A24. B25. D26. B27. E28. B29. A30. A31. E32. C33. D34. B35. D