Student Name:…………………………………………….. Seat Number: ……………. You may NOT have any electronic or recording devices. You may use the space on your test booklet for your work. Read each question carefully and bubble your answers clearly on your answer sheet. You have 30 minutes to solve 15 problems for each round. There are two rounds. Problems are marked as equal points. Remember that all answers must be marked on your answer sheet. If you mark in two or more bubbles, your response will not be scored. If you change your answer, be sure to erase completely. You can only use a #2 pencil to mark your answers You are not allowed to use calculators. If you complete the test before time is called, go back and check your work Do not go to 2nd section until further notice. You may raise your hand to ask permission for RR 1 2 This Page Intentionally Left Blank 3 Choose only one of the options for each question. Mark your answers in your answer sheet. In all cases, NOTA means “none of these answers”. Note : Answers do not have to be integers between 0 and 9 . 1) Find how much the total of 50 pennies, 9 half-dollars, 7 quarters, 3 nickels and 11 dimes would be? A) $6 2) M = 1/6 A = 7 B) $12 T= 0.4 C) $2 H = 15 D) $8 E) NOTA Simplify the value of: MATH .What is the value of MATH ? A) 7 B) 10 C) 2 D) 3 E) NOTA 4 3) Divide 3 by 11. What number would be in the 50th decimal place? A) 0 B) 2 C) 7 D) 3 E) NOTA 4) A square is 2 cm x 2 cm. A square that measures 0.5 cm x 0.5 cm is cut away from each corner of the square. What is the perimeter in centimeters of the new figure? A) 7 cm B) 8 cm C) 4 cm D) 2 cm E) NOTA 5 5) Jada found $2.00 on the sidewalk. She now has 5 times as much as she would have had if she would have lost $2.00 instead. How much did she have before she found the money? A) $8 B) $10 C) $2 D) $3 E) NOTA 6) The math classroom is a square. The perimeter is 24 meters. What is one fourth of the area of the classroom in square meters? A) 6 m2 B) 1.5 m2 C) 12 m2 D) 24 m2 E) NOTA 6 7) Two cars starting to move from point A and point B towards the same direction with velocities 75 mph and 60 mph respectively. The car starting from A catches the other car after 5 hours. How many miles are there between the points A and B? A -----> 75 A) 50 B) 75 B -------> 60 C) 100 D) 125 E) 150 8) The math class started doing their homework. Jane has one-third of her homework done. Lucy has 65% of her homework done. Tim has .68 of his homework done. Joe has one-fifth of his homework left to do. Marshall has done twice as much homework as Jane has done. Who has the most homework completed? A) Jane B) Tim C) Lucy D) Joe E) Marshall 7 9) What is half of the difference between the next two numbers in this sequence? 1 A) 3 4 10 19 B) 6 31 ……. C) 7 …….. D) 9 E) NOTA 10) Destiny plays a rock-paper-scissors game with Thomas for twelve rounds. In each round, the winner scores 5 points and the loser scores 3 points. At the end of the game, Destiny’s total score is 50 points. How many rounds did Thomas win? A) 3 B) 5 C) 7 D) 9 E) NOTA 8 11) Tom trades 3 pieces of cake for 4 ounces of milk. He also trades 6 ounces of milk for 5 pieces of meatballs. Jerry has 10 pieces of meatballs and wants to trade. How many pieces of cake can he get from Tom? A) 8 B) 6 C) 7 D) 9 E) NOTA 12) All numbers below are placed according to a pattern from left to right. What is the positive numerical difference between the two missing numbers? 4 3 25 6 A) 37 45 2 7 5 4 B) 45 C) 50 41 D) 57 E) NOTA 9 2 13) Jordan’s age is equal to the numerical value of 5x7+2-4+3x6+12/2 -6. Her brother Christian is 62 years old. How many years younger is Jordan than her brother? A) 12 B) 14 C) 13 D) 16 E) NOTA 14) Mr. Garfield bought graph paper for his 3 math classes. Each class has 27 students. Graph paper is sold in packages of 100 sheets. Mr. Garfield wants to buy 5 sheets of graph paper for each student. What is the minimum number of packages needed? A) 4 B) 6 C) 5 D) 7 E) 9 10 15) A = 13 + 26 + 39 + ...+ 169, then what is the sum of the prime numbers that can divide A with no remainder? A) 12 B) 13 C) 14 D) 18 E) 20 DO NOT MOVE TO SECOND SECTION UNTIL FURTHER NOTICE 11 MATH STARS 2014 ROUND 2 12 Choose only one of the options for each question. Mark your answers in your answer sheet. In all cases, NOTA means “none of these answers”. Note: Answers do not have to be integers between 0 and 9. 1) What is one seventeenth of the sum of the number of faces and edges of an octagonal prism? A) 3 B) 2 C) 1 D) 5 E) NOTA 2) You decide to see if you can ride the elevator to street level (floor 0) without pushing button. The elevator takes you up 4 floors, down 1 floor, up 8 floors, down 6 floors, down 3 floors, up 1 floor, and then down 4 floors to street level. You ended up at the street level. Find your starting floor. A) 1 B) 0 C) 3 D) 2 E) NOTA 13 3) You have three one-dollar bills, five quarters, six dimes, sixteen nickels, and thirty-five pennies. You save half and spend half of it. How much did you save? A) 2.75 B) 3 C) 3.25 D) 3.75 E) NOTA 4) How many different 4-digit numbers can be formed using the digits 1, 2, 3, 4 once in each number? A) 6 B) 12 C) 36 D) 24 E) NOTA 14 5) A frog, rabbit, and a kangaroo go for a walk. The frog takes 2 foot hops, the rabbit 3 foot hops, and the kangaroo 7 foot hops. If they start their walk together, how far they travel before all 3 have their feet on the ground at the same time? Find the sum of the digits of your answer. A) 3 B) 5 C) 7 D) 4 E) NOTA 6) Mr. Gunerhan developed two new types of operations. He defined Based on these new operations, find the value of: A) 8 B) 0 C) 6 D) 4 E) NOTA 15 7) There is only one two digit number positive integer that is exactly 3 times the sum of its digits. What is this two digit number? A) 27 B) 18 C) 36 D) 72 E) NOTA 8) If a math class of 24 students has a 3:1 ratio of boys to girls. When 6 boys leave, what would be the ratio of the remaining boys to girls? A) 1 B) 3 C) 6 D) 2 E) NOTA 16 9) This pattern below is Pascal’s Triangle which one the most interesting Number Patters. What is the sum of the numbers in the 9th row? Row 0 Row 1 Row 2 A) 256 B) 512 C) 521 D) 1024 E) NOTA 10) What is the value of question mark in the following equation? 7 + 77 + 777 = 7 x ? A) 123 B) 111 C) 132 D) 112 E) NOTA 17 11) Given all squares are congruent. What percent of the rectangle is shaded? A) 6 B) 12 C) 8 D) 16 E) NOTA 12) A) 4 B) 2 C) 3 D) 7 E) NOTA 18 13) If the product of three consecutive integers is 120, and first integer is a perfect square, what is the second integer? A) 3 B) 6 C) 5 D) 4 E) NOTA 14) Find all the different rectangles and triangles in the following figure. How many more triangles are there than rectangles? A) 3 B) 2 C) 5 D) 4 E ) NOTA 19 15) Minnie is taller than Max. Max is shorter than Marvin. Martin is as tall as Mandy. Marvin is taller than Minnie. Mandy is shorter than Max. Who is the tallest? A) Mandy B) Max C) Marvin D) Minnie E) NOTA 20
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