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Pizitz Mathematics Tournament 2009 Seventh Grade Ciphering Answers 1-1 Simplify: 4 – 36(6 · 6 – 6)+ 18 – 6(-1). 1-1 –1052 1-2 Botong can solve a problem in 3 hours, but Tony takes 6 hours to solve the same problem. Working together, how many hours will it take them to solve the problem? 1-2 2 1-3 Evaluate. 6 !5! 4! 5! 4 !3! 1-4 Write 0.153 as a simplified fraction. 1-3 120 1-4 23 /150 1-5 6, x = 6, or {6} 1-5 Solve for x: 6x – 10 – 8 + 2x – 7 = 3x + 5. 2-1 28% 2-1 Find the percent of decrease for a temperature drop from 75° to 54°. 2-2 110112 + 101012 = ________ 10 2-2 48 2-3 Find the ratio of the area of a right triangle to the hypotenuse if the leg lengths are three and four. 2-3 6:5, 6/5 or 6 to 5 2-4 Find x if |x - 1| = |x - 2|. 2-5 How many feet are in 1 mile, 45 yards, 5 feet, and 60 inches? 2-4 1.5, 3/2 or 1 ½ 2-5 5425 3-1 Find the LCM of 75, 25, and 33. 3-1 825 3-2 Find 14 2/7 % of 112. 3-2 16 3-3 Two angles are supplementary, and their measures are in the ratio 7:2. Find the measure of the smaller angle. 3-3 40 or 40° 3 3-4 Evaluate. 64 4 2 19 2 4-1 Find A·B +C if A = number of primes less than 50, B = largest one digit prime number, and C = mean of A and B. 4-2 If x ♥ y = 6x + y4, then evaluate (2♥5) ♥3. 4-3 Find the surface area of a right circular cylinder with a radius of 5 and a height of 9. Leave pi in the answer. 4-4 Find the sum of 0.18 and 27.27% as a simplified fraction. 184 /5, 36 4/5 or 36.8 81 2 2 3-5 Find the sum of the exponents in the prime factorization of 420. 4-5 3-4 3-5 5 4-1 116 4-2 3903 4-3 140π 4-4 5 /11 4-5 26 Ex1 1 Evaluate: 27 – (-3)2 + |(-512)1/3| – [(24 – 42) · 63989]. Ex1 Jenny rolled a pair of 10-sided dice. Find the probability that the sum of the two numbers is 11. Ex2 Find the sum of the interior angle measures of a dodecagon. Ex3 If 3600 students go to Smith School and the ratio of pros to newbies is 7:5, find the difference between pros and newbies, /10 Ex2 1800 or 1800° Ex3 600