Columbus High School Middle School Math Tournament

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Columbus High School Middle School Math Tournament November 3, 2012 Individual Test Instructions - Do not open your test booklet until you are told to do so.

1 Columbus High School Middle School Math Tournament November 3, 2012 Individual Test Instructions - Do not open your test booklet until you are told to do so. - There are forty (40) multiple-choice questions on the test. Each correct answer is worth one (1) point, and there is no penalty for guessing. No calculator is allowed. - The individual test booklet is yours to keep, so you may use the margins for scratch work. Additional scratch paper will be provided; however, no answers written on the test booklet or scratch paper will be graded. All answers must be properly coded on the Scantron sheet. - Mark your answers on the Scantron sheet provided using only a #2 pencil. If you change your answer, be sure to erase completely. If you do not have a pencil, one will be provided. - You will have one (1) hour to complete this test. - If there is a tie, questions marked with an asterisk will be used as tie-breaker questions. The student who correctly answers fewer tie-breaker questions will be eliminated. If a tie still exists, the first student to miss a tie-breaker question will be eliminated CHS Middle School Math Tournament

1. If (y + 4) = 3, what does y equal? 2 4 5 7 9 2. A change of 1234 is equivalent to a change of: 34 94 96 126 154 3. What integer is between and? 5 6 7 8 9 4. Solve for x: 2 4 12 14 20 5.

2 1. If (y + 4) = 3, what does y equal? A change of 1234 is equivalent to a change of: What integer is between and? Solve for x: What is the value of x? x Note: Figure not drawn to scale. 6. The sum of three consecutive even integers is 348. What is the largest of these numbers? Joshua has a cube with 4 inches long sides. How many quarts of paint does he need to paint the cube s surface if one quart of paint covers 24 square inches? 4 quarts 6 quarts 16 quarts 32 quarts 96 quarts 8. John gets paid $9 a day. Assuming he does not spend any money, how much money does he have on day,, if he starts with $25? If and < 64 Which of the following could not be? CHS Middle School Math Tournament

10. Solve for : 4 9 12 19 28 14. Simplify: ( ) ( ) 11. What is the next number in the following sequence: 15. How many squares can be found in this figure? 2/18 2/20 4/15 4/18 4/20 12.

Finally, Frank drove the remaining 567 miles. What is the total driving distance between Houston and Miami? 1,104 miles 1,205 miles 1,188 miles 1,473 miles 1,456 miles 13.

3 10. Solve for : Simplify: ( ) ( ) 11. What is the next number in the following sequence: 15. How many squares can be found in this figure? 2/18 2/20 4/15 4/18 4/ Jason, Mike, and Frank took turns driving from Houston to Miami. First, Jason drove 3/11 of the total distance. Next, Mike drive 25% of the total distance. Finally, Frank drove the remaining 567 miles. What is the total driving distance between Houston and Miami? 1,104 miles 1,205 miles 1,188 miles 1,473 miles 1,456 miles 13. Solve the equation: What is 50% of 80% of 30%? % 16% 17. Find the square root of Sayid has 17 marbles in a bag, 6 of which are red and 9 of which are blue. If he pulls one out of the bag, what is the chance that it is not red or blue? 1/17 2/17 2/15 1/27 1/ CHS Middle School Math Tournament 3

19. Evaluate 20. A ladder is leaning against a building. The distance from the base of the ladder to the base of the building is 9 feet.

Evaluate: 1/2 1/4 2 4 8 22. The greatest common factor of 15 and 20 is added to the least common multiple of 5 and 10. What is the result? 15 20 25 35 50 *23.

What is the area of the shaded region if the square s side length is 4 feet? 8π - 2 sq. ft. 8π - 4 sq. ft. 16π sq. ft. 16 + 4π sq. ft. 16-4π sq. ft. 25.

4 19. Evaluate 20. A ladder is leaning against a building. The distance from the base of the ladder to the base of the building is 9 feet. The distance from the base of the building to the point where the ladder touches is 12 feet. How long is the ladder? 6 ft. 12 ft. 15 ft. 16 ft. 18 ft. 21. Evaluate: 1/2 1/ The greatest common factor of 15 and 20 is added to the least common multiple of 5 and 10. What is the result? *23. What is the largest 3-digit integer whose cube root is an even integer? *24. What is the area of the shaded region if the square s side length is 4 feet? 8π - 2 sq. ft. 8π - 4 sq. ft. 16π sq. ft π sq. ft. 16-4π sq. ft. 25. The ratio of chocolate chips to cookies is 20:1. The ratio of cookies to glasses of milk is 5:1. If you and two friends have one glass of milk each, how many chocolate chips are there? Simplify the expression: 4 ft CHS Middle School Math Tournament 4

5 27. If What is the value of 2 4? *28. What is the units digit for? Your school wants to figure out how many kids are in the auditorium if it is 25% full. The auditorium has 5 sections, and each section has 16 rows. Each row has 19 seats, and each seat holds 2 kids. Find the number of kids when the auditorium is 25% full Find the point of intersection of these two lines: (6,6) (5,6) (6,5) (7,6) (6,7) 31. Bill s sentry gun can hold 5,000 bullets and can shoot 200 per minute. How many hours can he survive a zombie outbreak if he is constantly firing? 1/6 3/4 1/2 5/12 3/2 32. The product,, of two prime numbers is between 6 and 55. The first prime is greater than 2 and less than 6. The second prime is greater than 13 and less than 25. What is? The first four figures of a sequence are shown below. How many dots would be in the 50 th figure of the sequence? *34. Which of the following numbers is the least? ( ) ( ) ( ) ( ) ( ) 2012 CHS Middle School Math Tournament 5

35. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? 8 10 14 19 21 *36.

6 35. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? *36. What is the area of a triangle formed by the -axis, -axis, the line and? 6 units² 12 units² 18 units² 20 units² 24 units² 2, 8, *37. If is the next number in the above sequence if the sequence is arithmetic, and is the next number in the sequence if it is geometric, what is the value of ( )? *39. You are an eccentric kid who loves math so much that people walk by you at lunch and ask why you forgot your piece of. As a secret connoisseur of food, you reply Oh yeah? Well, I ll have you know I have chicken pot and pumpkin. That s twice the you ll ever have! If how many you have was the radius of a circle, what would be the area of that circle? 4 units² 4 units² 1 units² 4 units² units² *40. Buzz Lightyear tagged along with Curiosity to Mars. As soon as he landed on the red planet, Buzz immediately remarked in the presence of martians. He says: For every glorg, there is one zlob. For every zlob, there are seven sloys. The number of sloys divided by two is the number of hobbs. These are the only kinds of martians on Mars. Based on Buzz s message, and the fact that there is an integer number of martians, what is the smallest number of martians on Mars? *38. Solve for. ( ) ( ) 2012 CHS Middle School Math Tournament 6

Columbus High School Middle School Math Tournament

Columbus High School Middle School Math Tournament October 8, 2011 Individual Test Instructions - Do not open your test booklet until you are told to do so. - There are forty (40) multiple-choice questions