Thepicompetition.files.wordpress.com



YOU HAVE 60 MINUTES TO COMPLETE THIS TEST. THERE ARE 30 MULTIPLE-CHOICE QUESTIONS. MARK YOUR ANSWERS ON YOUR SCANTRON-SHEET. NO AIDS SUCH AS CALCULATORS, NOTES, BOOKS, ETC., MAY BE USED IN COMPLETING THIS TEST. ALL FRACTIONS MUST BE IN SIMPLEST FORM.THE ANSWER CHOICE E. NOTA STANDS FOR NONE OF THE ABOVE ANSWERS ARE CORRECT.WATCH OUT FOR SILLY MISTAKES. REMEMBER THAT THESE QUESTIONS ARE MEANT TO BE CHALLENGING FOR EVEN THE TOP STUDENTS.GOOD LUCK AND HAVE FUN!What property is used in this statement: 34+x=3(x+4)?A. TrichotomyB. AssociativeC. DistributiveD. CommutativeE. NOTAFind the slope of the line perpendicular to the function 3x+7y=29 that passes through the point (-10, 9)A. 37B. 73C. -37D. -73E. NOTAIn how many ways can the letters of CRAZY be rearranged?A. 24B. 60C. 120D. 240E. NOTAIf x>y and y>0 and xz<0, then which of the following must be true about all values of z?A. z > 0B. z = 0C. z < 0D. z > x E. NOTAIf 2x2+5x-35x-4=ax3+ bx2+cx+d for all real values of x, what is the value of b?A. 10B. 18C. 2D. -24E. NOTASimplify 12+1613+14A. 78B. 1C. 7D. 12E. NOTAMs. Gibbs can grade 30 problems in 2 minutes, Ms. Li can grade 30 problems in 3 minutes, and Mr. Bobbitt can grade 30 problems in 5 minutes. How many minutes would it take all three of them, working at the rates given above, to grade 100 problems?A. 9033B. 3C. 10033D. 4E. NOTAWhat is the name given to the degree of the polynomial 15xy-0.5x+9y?A. trinomialB. quadraticC. linearD. cubicE. NOTAJonathan was n years old in the year n2. If he was born some year between 2000 and 2100, how old will Jonathan be when it is year 2050?A. 25B. 70C. 75D. 85E. NOTAWhat is the discriminant of x2-4x+1?A. 4B. 12C. 16D. 12E. NOTAIf 5x2-34x+24=0, and y=3+x, what are the possible values of y?A. 3, -115B. 6, 45C. 9, 195D. 12, -115E. NOTAFor all real numbers a and b, a?b=a2-ab+b2 . Which of the following must be true, for real numbers x and y? I. -2?x=x ? (-2)II. x ? y>0 if x>0 and y<0III. x ? y ≥0 if xy<0A. I, II onlyB. I, III onlyC. II, III onlyD. I, II, IIIE. NOTAIf 4x=y5, what is the value of yx?A. 120B. 45C. 54D. 120E. NOTACarla isn’t doing too hot in math class this year. Her test averages are 46, 29, 61 and 72 so far. She needs a test average of 60 to pass the class. What is the minimum test score she must get for the 5th and final test to achieve this? A. 92B. 96C. 100D. it is not possible for her to passE. NOTAWhich of the following is equivalent to 2?A. 21/16B. 21/8C. 21/6D. 21/4E. NOTAlogby =x if and only if y=bx. (i.e. log10100=2, because 102=100)Thus, find log1255A. 3B. -3C. 13D. -13E. NOTAThe vertices of triangle FAT are F (0, 4), A(5, 8), and T (9, 3). The triangle is…A. acuteB. obtuseC. rightD. not possibleE. NOTATriangle CAT has side lengths CA = 12 and AT = 14. Which of the following cannot be the length of side CT?A. 2B. 11C. 20D. 21 13E. NOTALet x-y=5 and x2-y2=45. What is the value of x?A. 9B. 7C. 5D. 2E. NOTAThere are 100 kids in the 8th grade on the first day of school. To get to know each other better, the principal requires every kid to shake every other kid’s hand exactly once on the first day of school. How many handshakes happen in total? A. 99B. 4950C. 5040D. 5050E. NOTA4x-5=82x+1. Solve for x.A. 94B. 38C. the empty setD. all real numbersE. NOTAOne day, a piece of cake meant for King Tristanicus went missing. His servants suspected that one of his siblings ate the piece of cake and so questioned them. Here were their answers:Kinan said, "It wasn't Monet. It was Philip."Nada said, "It wasn't Philip. It was Kinan."Monet said, "It wasn't Nada. It was Philip."Philip said, "It wasn't Kinan. It wasn't Monet."Exactly?four?of the eight statements were true. Who ate the piece of cake?A. KinanB. NadaC. MonetD. PhilipE. not enough informationNadia likes to make desserts for bake sales. Last month, she made 5 batches of brownies and 8 batches of cookies, which called for 42 eggs total. The month before, she baked 3 batch of brownies and 11 batches of cookies, which called for 50 eggs total. This month, she needs to bake 7 batches of brownies, and 12 batches of cookies. How many eggs does she need?A. 8B. 52C. 55D. 62E. NOTAKrisha is making lemonade and she made 16 ounces of lemonade that was 90% sugar water and 10% lemon juice. She thought it was too strong, and therefore decided to make some lemonade that was 5% lemon juice. How many ounces of sugar water would she have to add to the original 16 ounces of her lemonade, with no additional lemon juice, to get the mixture she wants?A. 8B. 16C. 18d. 20E. NOTAFind the sum of the integral solutions to the following inequality: 3x+4≤19A. ∞B. 0C. 15D. -15E. NOTAThe square of the sum of the first and third of four consecutive even integers is 3600. Find the greatest of these four integers. A. 3602B. 602C. 306D. 34E. NOTACurrently, Shauna is 26 years older than Kim. 29 years ago, Shauna was twice Kim’s age. Find the sum of their present ages.A. 136B. 81C. 55D. 26E. NOTAGiven x+1x=3, find x5+1x5.A. 123B. 141C. 159D. 243E. NOTAJett is an algebra 1 student who only attended the PI competition for the free pizza. He wasn’t really in the mood to take this test properly, so he bubbled in random answers for all 30 questions. Assuming there is an equal probability of each answer being correct, what is the expected score he should get? A. 16.67%B. 20%C. 24%D. 100%E. NOTA ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download