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(1) Lee can make 18 cookies with two cups of our. How many cookies can he make with three cups of our? (2) The slant height of a cone is 13 cm, and the height from the vertex to the center of the base is 12 cm. What is the number of cubic centimeters in the volume of the cone? Express your answer in terms of . (3) Five consecutive terms of the Warloe sequence are given below. In the Warloe sequence, each term after the third term is the sum of the previous three terms. The 8th term has been identied. What is the sum of the 1st term and the 13th term in the Warloe sequence? 8th term . . . 1, 2, 3, 6, 11, . . . (4) For what value of x is 2 3 3x = 72? (5) The length of the year on the planet Mars is exactly 697 days. If Mars has a calendar with a 12-day week, and year 0 begins on the rst day of the week, what is the next year which will begin on the rst day of the week? (6) Mr. Byrd can buy a 757-page Algebra book for $14:99, or he can make copies of it for 5 cents a page. In either case, a 9% sales tax applies. What is the number of dollars in the positive dierence between the costs for buying and copying the book? Express your answer to the nearest cent. (7) How many dierent routes are possible from A back to A via B? A B (8) What is the common name for an equiangular quadrilateral? (9) Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the rst number in her sequence? (10) What is the value of the expression 2 as a mixed number? 1 2 4 2 3 + 2 + 4 + 1 when expressed 1 2 3 3 Copyright MATHCOUNTS Inc. All rights reserved Answer Sheet (3) (4) (5) (6) (7) (8) (9) (1) 27 cookies ID: [CBC1] (2) 100 ID : [3BAC ]36 ID : [3141] 2 ID: [0CC1] 12 ID: [24A2] 24.92 ID: [4DC5] 9 ways ID: [DD1B] Rectangle ID: [5D011] 123 ID: [B242] 19 2/3 ID: [00B]