“Math is Cool” Championships – 2009-10 - …

1 math is Cool Championships 2009 -10 Sponsored by: 5th Grade March 5, 2010 Individual Contest GENERAL INSTRUCTIONS applying to all tests: Good sportsmanship is expected throughout the competition by all involved. Bad sportsmanship may result in disqualification. Calculators or any other aids may not be used on any portion of this contest. Unless stated otherwise: o For problems dealing with money, a decimal answer should be given. o Express all rational, non-integer answers as reduced common fractions. For fifth and sixth grade, all fractions and ratios must be reduced.

2 Counting or natural numbers refer to the numbers 1,2,3,4 and so on and do NOT include 0. Units are not necessary unless it is a problem that deals with time and, in that case, am or pm is needed. However, if you choose to use units, they must be correct. Leave all answers in terms of where applicable. Do not round any answers unless stated otherwise. Record all answers on the colored cover sheets in the answer column only. Make sure all answer sheets have all the information filled out at the top of the sheet.

3 Tests will be scored as a 0 if answers are not recorded correctly on the answer sheets. Blank answer sheets and answer sheets with no name will also be scored as a 0. INDIVIDUAL TEST - 35 minutes When you are prompted to begin, tear off the colored sheet and begin testing. Make sure your name and school are recorded on the answer sheet. Each problem is scored as a 1 or 0. Record your answers on the score sheet. No talking during the test. You will be given a 5 minute warning. math is Cool Championships 2009 -10 Sponsored by: 5th Grade March 5, 2010 Individual Contest Record all answers on the colored cover sheet.

4 1 What is the remainder when 864 is divided by 9? 2 Evaluate:5713 Write answer as a reduced fraction. 3 What is the greatest common factor of 21, 14 and 28 4 True or False: A trapezoid is also a rectangle? 5 Find the area of a right triangle, in square units, with sides of length 10, 24 and 26. 6 How many lines of symmetry does a square have? 7 Evaluate: (3 X N) 11 when N = 5 8 What is the next prime number greater than 25? 9 What is the mean of all composite numbers between 15 and 21? (Not including 15 and 21) 10 What is the perimeter, in units, of a rectangle with sides of length 33 and 7?

5 11 What is the radius, in inches, of a circle with a diameter of 46 inches? 12 What time is it 4 hours and 32 minutes before 1:55 PM? 13 Adam s sock drawer contains 11 red socks, 15 green socks, 12 purple and 5 black socks. How many socks would he need to draw out without looking to ensure a matching pair of black socks? 14 The measure of two angles in a triangle are 27 and 43 . Is the triangle obtuse, acute, right, or can t be determined? 15 Both Marcy and Suzanne start counting at zero. Marcy counts by 9 and Suzanne by 7.

6 If zero is the first number they both say that is the same, what is the third number they both will say? 16 On a hike trip, 4 math team members can eat 3 pounds of beef jerky each day. If the hike trip last 5 days and 20 math team members go on the trip, how much beef jerky, in pounds, should they take? 17 At a free-throw shooting contest it is determined that Geoffrey makes 7 out of 9 shots. If Geoffrey shoots 63 times, how many shots would you expect him to make? 18 Adam wants to buy his girlfriend Ashley a calculator for their one year anniversary.

7 He only has quarters to pay for the calculator. The calculator cost $ How many quarters will it take him to pay for the calculator? 19 Mr. Tosch s dog, Plato, got lost at the math retreat and missed his ride home, so he walked home. The total trip was 172 miles. On the first day Plato walked 25 miles, the next day 24, the next 23, etc. How many days did it take Plato to walk all the way home? 20 This year the scores on Corin s Science tests have been 90%, 98% and 97%. What score does she need to get on the last test in order to have an average score of 95%?

8 21 A snail is in a well 39 feet deep. Each day the snail crawls 15 feet up the side of the well. Each night while it sleeps, it slides down the side of the well 10 feet. How many days will it take for the snail to get out of the well? 22 Express . as a common fraction in reduced form. 23 On math Island, the town of Linear requires bicycles to have licenses to be ridden on Pythagoras Street. The license plates are 3 numbers followed by one letter. Zero and the letter O are not allowed to be used. Repeating of numbers is okay.

9 How many different license plates can be made? 24 Corin has a lot of single shoes. The average shoe size among them is 5 . The sum of all the shoe sizes is 99. How many single shoes does she have? 25 How many perfect squares are there between 17 and 122? 26 How many different triangles with whole number side lengths with a perimeter of 30 have one leg 12 units long? 27 What is the maximum number of acute interior angles a convex pentagon can have? 28 What is the units digit when 324 is expressed as a counting number? 29 Water increases in volume by 4% when frozen.

10 I pour 325 cubic centimeters (cc) of water into a container that holds 500 cc. I then freeze this water. What is the empty volume remaining in the container, in cubic centimeters? 30 Margot went on a hike last weekend. She hiked for as many miles as 13 of her hike plus an additional miles. As a decimal, how many miles did Margot hike? Challenge Questions 5th Grade 31 Biff had a $1 bill, a $2 bill, a $5 bill, a $10 bill, a $20 bill, and a $50 bill. Biff had 6 jars where he kept his money, with exactly one bill in each jar.