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SEAMC 2005 Individual Competition: Questions 26-50

Test your skills with 25 multiple-choice math questions in the SEAMC 2005 Individual Competition. Solve questions on various topics within a time limit of 2 minutes per question.

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SEAMC 2005 Individual Competition: Questions 26-50

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  1. Dulwich International College Phuket Welcomes SEAMC 2005 Click when ready...

  2. Individual Competition Part II Questions 26 - 50 Click when ready...

  3. There are 25 multiple choice questions • You have 2 minutes to finish each question • There will be no break in this round • A trial question will now follow Click when ready...

  4. Trial Question (2 minutes) 2n+1X 4n+1equals (a) 2n+2 (b) 23n+3 (c) 42n+2 (d) 42n+1 (e) 24n-2 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  5. Get ready to start ........

  6. 26.Writing in 1864, Professor de Morgan said he was x years old in the year x2 AD. When was he born? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  7. 27. Write 1000000000 as the product of two numbers, neither of which contains any zeros. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  8. 28. An express train takes 3 seconds to enter a tunnel, which is 1 km long. If is is travelling at 120 km/h, how long does it take to pass completely through the tunnel? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  9. 29. The value of (1)10 +(-1)7 + (-1)4 + (1)9 is: You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  10. 30. A man bought 50 metres of rope in a shop. He did not know it, but the metre-rule used to measure the rope was 1cm short. What length of rope did he actually get? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  11. 31. The sum of 7 consecutive integers is 84. The smallest of these integers is: You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  12. 32. If x= , find the largest value in the list below. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  13. 33.If 24 + 23 + 22 + 22 = 2x, then the value of x is: You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  14. 34.In the sequence, each figure is made up of small squares of side length 1. What is the outer perimeter of the fifth figure in the sequence? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  15. 35.Which of the following statements is not true? A. There is only one even prime numberB. 61 is a prime numberC. 196 is a perfect square numberD. 23 is the product of two different integersE. 127 is a perfect cube You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  16. In the multiplication example shown A and B are two different integers. • A 8 • x 3 B • 2 7 3 0 • Find the value of A. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  17. 37.Which of the following is 25% less than x. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  18. 38.Charlie spent of his money on a book and then gave his brother of what was left. He then had $9. How much money did Charlie start with? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  19. 39.How many ten-thousandths are required to make one-tenth? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  20. 40. How many times does the second hand of a clock revolve in one full day of 24 hours? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  21. 41. When my age is divided by 2, 3, 4 or 6 there is always a remainder of 1, but when divided by 7 there is no remainder.How old am I? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  22. 42. A driver stops for a 20 minute break every 2 hours (i.e. he drives for 2 hours and then stops for 20 minutes before continuing). At what average speed must he actually drive at if he is to complete a 600 kilometre journey in 6 hours. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  23. 43. Find the ratio of the area of a regular hexagon to the area of an equilateral triangle if their perimeters are equal. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  24. 44. Pierre celebrated his birthday on February 2, 2001. On that day, his age equalled the sum of the digits in the year in which he was born. In what year was Pierre born? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  25. 45.In the four digit number 4k32, k can take the value of any digit from 0 to 9 inclusive. How many solutions for k are there to the calculation 4k32  12, so that the answer is an integer? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  26. 46.In a student council election In-Wook received 70% of the vote and Jee-Hae received the remainder. In-Wook won the election by 112 votes. How many students voted in the election? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  27. 47.A dice is biased such that the probability of landing on a 6 is ¼ and there exists and equally likely probability of landing on the numbers 1, 2, 3, 4, and 5. Find the probability of rolling the dice twice and obtaining a five and a six in any order. You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  28. 48. I recently bought a 10-volume set of encyclopaedias.At present I have only arranged the first 9 volumes in order on my shelf, as shown below. Where should I place the next volume? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  29. 49.What is the units’ digit of 8100? You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  30. 50.Given that xy = 5, simplify You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  31. Take a break ... you deserve it

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