2011 MATHEMATICS TEAMS CHALLENGE Primary Relay Time: 60 min Calculators Allowed 100 points -------------------------------------------------------------------------------------------------------------------------------------R1. (4 points) What is the next number in the sequence? [96 points remaining] 8, 15, 24, 35, 48, ____ R2. (4 points) [92 points remaining] Use the code A = 1, B = 2, C= 3, D= 4, ….Y = 25, Z = 26, to determine the numerical value of the word MATHEMATICS? R3. (6 points) [86 points remaining] A stadium has 6 main entry gates. How many different ways are there of entering and leaving the stadium, if you can’t exit the same way you entered? R4. (2 points) [84 points remaining] What is the largest 2-digit prime number? [Note: A prime number only has factors of 1 and itself] R 5. (4 points) What is the 100th digit in the sequence below? 7, 11, 15, ….. [80 points remaining] R 6. (8 points) [72 points remaining] Alex throws 3 darts at a dartboard. Assuming all 3 darts always land on the board, how many different totals are possible? The target scores are 10, 20 and 50. R 7. (4 points) What is the next letter in this pattern? [68 points remaining] J, F, M, A, M, J, J, A, S, O, N, __ R 8. (8 points) [60 points remaining] The angles of a triangle are consecutive even numbers which add up to 180⁰. What is the size of the largest angle? R 9. (6 points) [54 points remaining] What is the maximum number of pieces you can cut a pizza into with just four cuts? [Note: The pieces aren’t necessarily equal in size] R 10. (4 points) [50 points remaining] What is the magic number? Reverse the digits of 278 to make a second 3-digit number. Subtract the smaller number from the larger number to make a third 3-digit number. Reverse the digits to make a fourth 3-digit number. Add the third and fourth number to reveal the magic number. R 11. (6 points) [44 points remaining] How many different 2-digit numbers can be made with the digits 3, 4, 5, 6 and 0? Each 2-digit number has different digits. R12. (6 points) [38 points remaining] Jack has the choice of 4 ties, 3 shirts and 2 pairs of pants. How many different outfit choices does he have? R 13. (6 points) [32 points remaining] In 2011, 1st February fell on a Tuesday. On what day of the week did April’s Fools’ Day fall in 2011? R 14. (8 points) What is the value of the missing number? [24 points remaining] R 15. (2 points) Which one of the following numbers is the smallest? [22 points remaining] 1 , 3 3 , 10 333 , 1000 7 20 , 0.33 R 16. (4 points) What is the value of ((1 + 2) × 3 – 4) ÷ 5 + 6 × 7 – (8 + 9) = ? [18 points remaining] R 17. (4 points) What is the number in the shaded box which makes the subtraction correct? [14 points remaining] R 18. (4 points) [10 points remaining] A school has 425 students arranged in rows for a school photo. There are 20 students in the first row and each subsequent row contains an extra 5 students. How many rows are there in total? R 19. (6 points) [4 points remaining] th In the decimal 0.123456789123456789…..(recurring) what is the 2011 digit after the decimal point? R 20. (4 points) How many parallelograms are in this figure? [0 points remaining] Problem R 1 (4 points) R 2 (4 points) R 3 (6 points) R 4 (2 points) Change R 5 (4 points) R 6 (8 points) R 7 (4 points) R 8 (8 points) Change R 9 (6 points) R 10 (4 points) R 11 (6 points) R 12 (6 points) Change R 13 (6 points) R 14 (8 points) R 15 (2 points) R 16 (4 points) Change R 17 (4 points) R 18 (4 points) R 19 (6 points) R 20 (4 points) MATHS TEAM CHALLENGE (2011) Relay Answer Sheet PRIMARY Answer Attempts √ or × Score Progressiv 8 7 6 5 4 3 2 1 e Score 63 112 30 97 Change Change 403 10 scores D 62 Change Change 11 1089 16 24 Change Change Friday 21 3 10 26 Change Change 8 10 rows 4 15 Total School:___________________________________ Team 1: Team 2: