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M. S. E. A. C. Click when ready. Individual Competition Part 2. Click when ready. 26. A has coordinates (4,4) and B is obtained by rotating A about the origin O through an angle of 135º anti-clockwise. Calculate the area of triangle AOB.

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  1. M S E A C Click when ready...

  2. Individual Competition Part 2 Click when ready...

  3. 26. A has coordinates (4,4) and B is obtained by rotating A about the origin O through an angle of 135º anti-clockwise. Calculate the area of triangle AOB. A) 2 B) 22 C) 42 D) 82 E) 162 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  4. 27. At Kaynem Daly High School, the Maths Club has 15 members and the Science Club has 12. If a total of 13 students belong to only one of the two clubs, how many belong to both clubs? A) 2 B) 6 C) 7 D) 12 E) 14 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  5. 0 3 6 28. Find the black area, given that all curves are semi-circles, the smallest having diameter 1 unit A) 9 - 4 B)  C) 3 - 1 D) 2 E) 9 /4 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  6. 29. If Joe drives to work at 40km/h, he is one minute late, and if he drives at 45 km/h, he is one minute early. How far does he drive to work? A) 72km B) 18km C) 48km D) 12km E) 24km You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  7. 30. The line y = 2x - 1 is reflected in the line y = x. What is the equation of the image line? A) 2y - x = 2 B) 2y = 2x + 1 C) 3x - 2y = -1 D) x - 2y = -1 E) 3x - 2y = -2 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  8. 31. Which is smallest? A) 2001 B) 2001 C) 200 - 1 D) 200 + 1 E) 200-1 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  9. 85º A 50º 32. Find angle A A) 45º B) 35º C) 40º D) 50º E) 55º You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  10. 33. In blackjack, you receive 2 cards at the start. The object is to get as close to 21 as possible without going over. Your 2 cards are 7 and 9. Find the probability that if you take one more card from the deck, you will have more than 21. A) 13/15 B) 14/25 C) 3/5 D) 1/2 E) 1/3 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  11. 34. Which of the following is the best estimate for A) 0.45 B) 0.5 C) 0.55 D) 0.6 E) 0.65 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  12. 35. a = 1 b = 0.5 c = 1.1. 0.6 0.6 1.2 A) a < b and b < c B) a > b and c > a C) b < a and c > b D) b > a and c > a E) c < b < a You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  13. 36. Two men running towards each other at 6m/s and 9m/s are 1km apart. How long before they meet? A) 40 seconds B) 400 seconds C) sec.s D) sec.s E) sec.s You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  14. 37. Two dice are thrown. The probability that the sum will be prime is: A) 5/12 B) 7/18 C) 2/9 D) 5/36 E) 19/36 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  15. 38. The area of the triangle formed by the lines y = -2, y = 4x + 6 and x + y = 6 is equal to: A) 80 B) 40 C) 48 D) 64 E) 32 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  16. 39. Every person at a meeting shook hands with every other person, making a total of 210 handshakes. How many people at the meeting? A) 14 B) 15 C) 17 D) 20 E) 21 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  17. 40. If the circle radius is 2 units, find the total length of all the curves in the pattern. A) 10 B) 20 C) 40/3 D) 64/3 E) 76/3 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  18. 41. When it has been evaluated, how many digits are then in the product (218)(512) A) 14 B) 12 C) 10 D) 13 E) 30 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  19. 42. Solve A) x > 1 B) x < 1 C) x < 0 or x > 1 D) x < -1 or x > 1 E) x > -1 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  20. 43. When evaluated, what is the units digit of 72001 A) 7 B) 1 C) 3 D) 9 E) 8 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  21. 44. A line is divided in the ratio 2:3. The larger section is then divided in the ratio 3:4, and the smaller of these two segments is 126cm. How long is the line? A) 490cm B) 520cm C) 480cm D) 350cm E) 630cm You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  22. 45. 1st 2nd 3rd * * * * * * * * * * * * * * * * * * * * * * * * * * * How many dots in the 2001th pattern? A) 7999 B) 8001 C) 8003 D) 8005 E) 8007 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  23. 46. Starting with a certain number, Ada divided by 2 and then multiplied by 3. She got 1/8. Her answer was incorrect because she should have multiplied when she divided, and vice versa. What should her answer have been? A) 12 B) 1/18 C) 1/12 D) 18 E) 6 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  24. P Q 47. An ant wants to get from P to Q (which is directly below P), circling the cylinder just once. The circumference is 8cm, the height 6cm. What is the shortest distance (in cm)? A) 8 B) 9 C) 10 D) 10.5 E) 110 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  25. 48. 108 eeks equals 1 oodle, and there are 97 oodles to the kg. Which is most likely to weigh a million eeks? A) a bacterium B) a mouse C) a man D) a planet E) a mature elephant You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  26. 49. How many spots on 12 dice? A) 198 B) 210 C) 240 D) 252 E) 264 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  27. 50. Find the product of (50 - 100)(50 - 99)(50 - 98)… .. ...(50 - 2)(50 - 1)(50 - 0) A) -10100 B) - 5050 C) 0 D) 5050 E) 10100 You now have 30 seconds left STOP 1 10 9 8 7 6 5 4 3 2

  28. That's all folks!

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