T M S C A M I D D L E S C H O O L M A T H E M A T I C S S T A T E T E S T A P R I L 6,

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1 T M S C A M I D D L E S C H O O L M A T H E M A T I C S S T A T E T E S T A P R I L 6, 0 1 GENERAL DIRECTIONS 1. About this test: A. You will be given 0 minutes to take this test. B. There are 50 problems on this test.. All answers must be written on the answer sheet/scantron form/chatsworth card provided. If you are using an answer sheet be sure to use BLOCK CAPITAL LETTERS. Clean erasures are necessary for accurate grading.. If using a scantron answer form be sure to correctly denote the number of problems not attempted.. You may write anywhere on the test itself. You must write only answers on the answer sheet. 5. You may use additional scratch paper provided by the contest director. 6. All problems have ONE and ONLY ONE correct [BEST] answer. There is a penalty for all incorrect answers. 7. Calculators MAY NOT be used on this test. 8. All problems answered correctly are worth FIVE points. TWO points will be deducted for all problems answered incorrectly. No points will be added or subtracted for problems not answered. 9. In case of ties, percent accuracy will be used as a tie breaker. TMSCA 01

3 01-01 TMSCA Middle School Mathematics State Championship Test (-) + (-) = A. -8 B. -8 C. -9 D E A. 1.8 B C. 1.6 D. 1.5 E = A.,00 B.,56 C. 1,156 D.,00 E.,00. 1 = A. 1,0 B. 1,78 C. 1,68 D. 6 E. 1,88 5. What is the largest prime number less than 00? A. 191 B. 19 C. 19 D. 197 E What is 7% of 550? A. 06 B. 07 C. 08 D. 09 E A. 7 B. 7 C. 8 D. 9 E feet = rods A. 7 B. 6 C. 5 D. E A. -15 B. -1 C. -11 D. 11 E Which of the following is defined as, The horizontal line placed above multiple quantities to indicate that they form a unit; most commonly used to denote a radical, such as, in repeating decimals, such as 0., x y and as part of a fraction, such as. x y A. limacon B. vinculum C. axiom D. lemma E. helix (Roman numeral) A. VI B. CCCCCC C. CCCCM D. DCC E. DC 1. 8 A. 16 B. 6 C. D. E What is the GCF of 1a b, 8a b c and 5ab 5 c? A. abc B. ab C. 10a b 5 c D. 10a b 5 E. a b 5 c 1. What is the sum of all the positive divisors of 96? A. 5 B. 5 C. D. 196 E If the integers can be repeated, what is the largest possible product of a set of positive integers whose sum is 1? A. 1 B. 6 C. 5 D. 7 E. 81

4 TMSCA 1-1 MSMA State Championship Test Page 16. Six unique garden gnomes are to be arranged in a flower garden. In how many different ways can the gnomes be arranged in a row? A. 50 B. 70 C. 900 D. 860 E What is the value of the arithmetic mean of the arithmetic means of each of the five sets {1}, {, 5}, {6, 7, 8}, {9, 10, 11, 1} and {1, 1, 15, 16, 17}? A. 7. B. 7. C. 7.6 D. 7.8 E If the following sequence continues, what is the sum of the first ten terms? 1, 1,,, 5, 8, 1, A. 15 B. 16 C. 1 D. 1 E What is the area of the region enclosed by the lines x = -5, y = - and y x? A. 5 units B. 0 units C. units D. 50 units E. 60 units 0. Michelle swims 7 days a week. She swims 8 laps on Sunday, 10 laps on Monday, 11 on Tuesday, 9 on Wednesday, 7 on Thursday and 6 on Friday. How many laps does Michelle need to swim on Saturday to average 8 laps a day? A. 8 B. 6 C. D. 5 E What is the sum of all the digits of (7! 5!)? A. 7 B. 6 C. 15 D. 0 E. 18. Maria rented a car for $80 a day plus $0.50 per mile. Maria s bill for Saturday was $180 and for Sunday her bill was $55. Find the number of miles Maria drove in those two days. A. 50 miles B. 650 miles C. 50 miles D. 550 miles E. 00 miles = A. B. -6 C. 8 D. E A. 0 B. 1 C. 10 D. E The length of a rectangle is centimeters more than times the width. If the perimeter of the rectangle is 6 centimeters, what is the area of the rectangle? A. cm B. 65 cm C. 90 cm D. 15 cm E. 90 cm 6. The measure of A below is 57. Which of the following can be used to find the measure of AB? A. AB 5 cos(57) B. AB 57 cos(5) C. AB 5sin(57) D. AB 5 tan(57) E. AB 57sin(5) 7. 6 n 11can be expressed as which of the following? A. (6, 11) B. (6, 11] C. [6, 11) D. [6, 11] E. {17}

5 TMSCA 1-1 MSMA State Championship Test Page 8. If Gabriella answers thirty-one problems correctly, skips eight problems and gets eleven problems wrong on a TMSCA General Math test, what will her score be? A. 19 B. 10 C. 0 D. 19 E What is the area of the pentagon with vertices at coordinates (0, 5), (, 1), (1, -), (-5, -) and (-5, 1)? A. 7 units B. 7 units C. 8 units D. 76 units E. 18 units A. 9 B. 18 C. 7 D. 81 E If, then 5% of the area of the circle below would be which of the following? A. 16m + 16m + B. 1m + 1m + C. 8m + 8m + 1 D. m + m + 8 E. m Point A has coordinates (8, -7) and point B has coordinates (1, 19). Point C is the midpoint of AB. What are the coordinates of the midpoint of CB? A. (11, 6) B. (1.5, 1.5) C. (1.5, 11) D. (1.5, 5.5) E. (1.5, 6). If a =, then = a illustrates which property? A. Transitive B. Symmetric C. Reflexive D. Identity E. Associative. Find the next number in the sequence 1,, 8, 9, 7, 7, 6, 81,. A. B. 15 C. 17 D. E The sum of three consecutive even numbers is 10. What is the value of ten more than the largest of the three numbers? A. 6 B. C. D. 6 E If two sides of a triangle measure and 9 inches, what is the greatest possible integral length of the third side? A. 1 in B. 1 in C. 1 in D. 6 in E. 15 in 7. If log 6 6 n, find the value of n 6. A. B. 18 C. 6 D. E.1,96 8. What is the sum of the coordinates of the solution to the system with the equations 0.5m + n = 7.5 and 0.5m = -0.5n (-1)? A. 10 B. 9 C. 8 D. 7 E Each minute, the hour hand on a clock moves. A. ¼ B. ½ C. D. E. 6

6 TMSCA 1-1 MSMA State Championship Test Page 0. If w varies inversely as z, and w = -5 when z = A. B. 5 1, find w when z is. 5 C. - D. 1. What is the rate of decay in the exponential decay function 5 y 6? A. 1 % B. 1 8 % C. % D. x 7 E. 1 % E %. What is the length of the inner-diagonal of a rectangular prism with a length of 6 cm, a width of 6 cm, and a height of 7 cm? A. 1 cm B. 1 cm C. 11 cm D cm E. 10 cm. Find the slope of any line perpendicular to the line with the equation x 1y = -16. A. - B. 0. C. 0. D. E How many more edges does an icosahedron have than a hexahedron? A. 1 B. 1 C. 16 D. 18 E Meghan has 15 coins in nickels and quarters which total $1.55. How many more nickels than quarters does Meghan have? A. 7 B. C. 6 D. 5 E If f ( x) x 1and g ( x) x x, then find f ( g( a 5)). A. a + 81 B. a + a + 81 C. a + a + 7 D. a + 7 E. a + a + 8 a 7. Find the value of b 5, if a b A. 1 B. 8 C. 67 D. -5 E A -1 is used to express the inverse of A. If A B A 0 10 and 0 1 B, find A B C. D E In the drawing below, circle C has a diameter of 16 cm and ABC is equilateral. What is the area of the shaded region? A. 6 8 cm B. 8 cm C. 16 cm 6 D. 16 cm E The vertex of the quadratic function y x 8x 1is located at (a, b). The vertex of the quadratic function y x x is located at (c, d). Evaluate the expression bc d. c a b A B C D E

7 1st Score: nd Score: rd Score: Grader: Grader: Grader: Final Score Name: School: SS/ID Number: City: Grade: Classification: 1A A A A 5A MIDDLE SCHOOL MATHEMATICS ANSWER SHEET CAPITAL PRINTED LETTERS REQUIRED 1. B 18. D 5. A. A 19. B 6. B. D 0. D 7. C. B 1. C 8. E 5. E. D 9. B 6. B. A 0. B 7. B. E 1. A 8. B 5. E. C 9. B 6. A. A 10. _B 7. A. D 11. _E 8. E 5. A 1. _D 9. A 6. E 1. _B 0. C 7. B 1. _A 1. B 8. E 15. E. B 9. C 16. _ B _. B 50. D 17. _C. B Correct x 5 = Incorrect x = Score =

T M S C A E L E M E N T A R Y S C H O O L N U M B E R S E N S E T E S T #

st Score: nd Score: rd Score: Final Score Name: School: SS/ID Number: City: Grade: Classification: A A A A A 6A T M S C A E L E M E N T A R Y S C H O O L N U M B E R S E N S E T E S T # 0 0 GENERAL DIRECTIONS.