EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. FOURTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 25 th, 2014

Size: px

Start display at page:

Download "EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. FOURTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 25 th, 2014"

Megan Margaret Brooks
6 years ago
Views:

1 EXELLENE IN MTHEMTIS EIGHTH GRDE TEST HNDLER-GILERT OMMUNITY OLLEGE S FOURTEENTH NNUL MTHEMTIS ONTEST STURDY, JNURY 5 th, 0. DO NOT OPEN YOUR TEST OOKLET OR EGIN WORK UNTIL YOU RE TOLD TO DO SO Y YOUR PROTOR.. LISTEN REFULLY S YOUR PROTOR EXPLINS WHERE TO WRITE YOUR NME, THE NME OF YOUR SHOOL, YOUR GRDE LEVEL, ND HOW TO MRK YOUR NSWERS.. YOU MY USE YOUR LULTOR. YOU ONLY NEED FOUR-FUNTION LULTOR, UT YOU MY USE NY NONGRPHING, NONPROGRMMLE LULTOR. IF YOUR LULTOR N E PROGRMMED OR N GRPH, GIVE IT TO THE PROTOR.. YOUR SORE WILL E THE NUMER OF QUESTIONS YOU NSWER ORRETLY. IN THE EVENT OF TIES, PROLEM #0 WILL E USED S TIE REKER; IF TIES STILL REMIN, PROLEM #9 WILL E USED S TIE REKER, ET. The Excellence in Mathematics ontest would like to acknowledge and thank Rick rmstrong for his help.

2 . How many of these five fractions are between.5 and?... D. E. 5. Of 6 Eighth graders, 80% of the 90 girls and 75% of the boys are taking lgebra I. How many of these Eighth graders are taking lgebra I? D. E. 5. Shaun starts to list the powers of : ; 9; 7;. He stops once all ten digits { 0,,,,, 5, 6, 7, 8, 9 } have appeared somewhere in his list. Of those ten digits, which is the last to appear in his list?. 0.. D. 5 E. 6. The perimeter of a rectangle is 0 cm. If its width is 6 cm, what is the area of the rectangle?. 8 cm. 00 cm. 0 cm D. 68 cm E. 0 cm 5. On this calendar for March, 0, what is the sum of all of the shaded dates? MRH, 0 SUN MON TUE WED THUR FRI ST D. 85 E The first three numbers in an arithmetic sequence are: 97; 8; 67;.. What is the tenth number in this sequence? D. -7 E One new oil well in North Dakota required 0,560 feet of steel pipe. Each segment of the pipe was feet long and weighed ¼ of a ton. ( ton = 000 pounds) How many pounds of steel were used for this one oil well?. 8,80., ,000 D. 660,000 E.,60, What is the sum of the least and the greatest of these five numbers? 0 ; 0. ; ; ; D. 0. E. 0.

3 9. Follow this set of directions:. Select any three different natural numbers between 0 and 0 to use as digits.. Write all six -digit numbers that can be written with your three digits.. dd those six numbers.. Divide the sum in Part by the sum of the three digits you originally chose in Part. What is your result?... D. E Given 5 nickels and pennies, how many different amounts of money can be formed using one or more of these 8 coins? D. E.. If x + y = 0 and x y = 6, what does x y equal? D. 6 E. 0. Entomologists estimate that there are about 0 6 ants on the Earth and that.5 million ants weigh about one pound. The world human population is about 7. billion people. Which one of the following five numbers is closest to the ratio of total weight in pounds of humans to total weight in pounds of ants? (Hint: You must estimate one missing piece of data.) D. 00 E. 00. On this calendar for March, 0, 6 numbers have been shaded. ircle any four of those 6 numbers so that exactly one number from each row and exactly one number from each column have been circled. MRH, 0 SUN MON TUE WED THUR FRI ST What is the largest possible sum of any four numbers you could circle? D. 0 E.. In Fairbanks laska, the number of hours of daylight increases rapidly each February. On February, sunrise was at 9:7 M and sunset was at : pm. On February 8, sunrise was at 8:0 M and sunset was at 6:08 pm. How many more minutes of daylight were there on February 8 than on February? D. 8 E If woodchucks could chuck 6 cords of wood in hours, in one hour how much wood could a woodchuck chuck if a woodchuck could chuck wood?. /8 cord. / cord. / cord D. / cord E. cord

4 6. This grid is divided into cm by cm squares. In square centimeters, what is the area of triangle? D E fter their first five games, the rizona Wildcats men s basketball team was averaging 85. points per game. fter their sixth game, their average dropped to 8.5 points per game. How many points did they score in their sixth game? D. 77 E N is a positive integer. What is the average of all of the integers from N to N+5, inclusive?..5.. D. E. 9. Form a -digit whole number by selecting one digit from each column, in the order given. For example, you can form 78 or 5. How many different -digit multiples of are possible? D. 8 E The stronger Goldbach conjecture states that any even number greater than 7 can be written as the sum of two different prime numbers. In how many ways can 60 be written as the sum of two different prime numbers?... 5 D. 6 E. 7. Nine billion can be factored in the form: a * b * 5 c. What is a+b+c?... 7 D. 8 E. 0. Point is the center of this regular decagon, What is the measure of angle?. 0 o. 6 o. 0 o D. 5 o E. 5 o. The sum of 0 consecutive odd numbers is 0. What is the largest of those 0 numbers? D. 7 E. The sum of 0 is not possible

5 . The length and the width of a rectangle are each a whole number of centimeters. If the area of the rectangle is 0 square centimeters, how many different rectangles are possible?... 5 D. 6 E long the Mississippi River, the distance from Hannibal, Missouri, to the Gulf of Mexico is about 500 miles. To estimate the speed of his raft, Tom Sawyer measures that it drifts 65 feet in 0 seconds. If this rate stays constant and Tom drifts hours each day, which is the best estimate of the number of days it would take Tom to drift from Hannibal to the Gulf of Mexico? ( mile = 580 feet) D. E On this calendar for March, 0, nine numbers have been shaded. ircle any three of those nine numbers so that exactly one number from each row and exactly one number from each column have been circled. What is the largest possible product of any three numbers you could circle? MRH, 0 SUN MON TUE WED THUR FRI ST D. 608 E In square D, P is the midpoint of and Q is the midpoint of. If the length of PQ is 8 cm, what is the area of D?. 6 cm. 8 cm. 56 cm D. cm E. cm 8. If y = x and z = 6y, then what does x + y + z equal?. 9y. 9y. 5y D. 79y E. y 9. In January, Rick and Fran drove 680 miles on I-55 from St. Louis to New Orleans. long the way, in order, they passed ape Girardeau MO, Memphis TN, and Jackson MS. It is 5 miles from St. Louis to ape Girardeau; 80 miles from ape Girardeau to Jackson; and 95 miles from Memphis to New Orleans. How far is it from ape Girardeau to Memphis?. 65 miles. 70 miles. 80 miles D. 85 miles E. 0 miles 0. What is the positive difference between the area of a square with perimeter 0 m and the area of a rectangle with perimeter 0 m if the length of the rectangle is three times its width?. 0 m. 00 m. 5 m D. 00 m E. 900 m. How many zeroes are at the end of the product of 5 billion times 80 trillion? D. E.

6 .,, and are negative integers such that: < < < 0 How many of the following five expressions MUST represent a positive number?. 0.. D. E.. In November, 0, Rick s daughter Zan will be one billion seconds old. In what year was she born? D. 985 E On a 0 km run-and-walk, Sean averages km/hr running and 7 km/hr walking. If he spends twice the amount of time running as he does walking, how long did it take Sean to complete the 0 km race? Round to the nearest minute D. 9 E cm by 0 cm square piece of paper is first folded in half along a diagonal. Then that right triangle is folded in half three times to form smaller and smaller right triangles. fter these four folds, what is the perimeter of the final triangle? Round your answer to the nearest tenth of a centimeter. st fold nd fold. 0.0 cm.. cm. 8. cm D cm E. 68. cm 6. How many -digit numbers are there with four different digits and with a thousand s digit two larger than its unit s digit? (For example, 705 is one such number.) D. 68 E Given: x, y, and z are natural numbers such that. The volume of the solid is 69 cubic centimeters. ll angles are right angles. The sketch is NOT to scale. In square centimeters, what is the surface area of the solid? (Include all 8 faces.) y y x D. 588 E. 606 x z 8. ssume that the wheel on the TV game show The Price is Right has 0 slots labeled 5; 0; 5; 90; 95; 00. When the wheel is spun, its arrow is equally likely to stop in each of these 0 slots. The first person, o, spins a 70 and stops. The second person, Pesky, can win either by spinning more than 70 on his first spin and stopping OR by spinning a sum of more than 70 and less than or equal to 00 on his first two spins. What is the probability that Pesky wins by beating o?. 5%. 8%. 50% D. 5% E. 60%

7 In Problems #9 and #0, you need to complete two Ken-Ken Puzzles. RULES: In any correctly completed x Ken-Ken Puzzle: Use only the numbers,,, SMPLE Each row must contain,,, Each column must contain,,, lso, the numbers in each region with a heavy border must make the calculation true. For example: o means that the quotient of the two numbers must be o - means that the difference of the two numbers must be o x means that the product of the two or more numbers must be o 9+ means that the sum of the two or more numbers must be x 9+ x correctly completed puzzle is to the right. 9. Using only,,, and, complete this x Ken-Ken Puzzle. x 8+ What is the sum of the four numbers in the boxes labeled,,, and D? D. E. + D 6x Using only,,,, 5, 6, and 7, complete this 7x7 Ken-Ken Puzzle. What is the sum of the four numbers in the four boxes labeled,,, and D? x.. 5 6x + D x. 6 D. 7 0x E x x

Seventh Grade Test - Excellence in Mathematics Contest 2013

Seventh Grade Test - Excellence in Mathematics Contest 2013 . How many of these five fractions are between.5 and?... D. E. 5. Of 6 Eighth graders, 80% of the 90 girls and 75% of the boys are taking lgebra I. How many of these Eighth graders are taking lgebra I?..