2. Click when ready...

3. Individual Competition Part II Questions 26 - 50

4. 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...

5. You now have 30 seconds left 10987654321STOP Trial Question (2 minutes) (a) 2 n+2 (b) 2 3n+3 (c) 4 2n+2 (d) 4 2n+1 (e) 2 4n-2 2 n+ 1 X 4 n+ 1 equals

7. You now have 30 seconds left 10987654321STOP 26.Writing in 1864, Professor de Morgan said he was x years old in the year x 2 AD. When was he born? A. 1804 B. 1849 C. 1801 D. 1808 E. 1806

8. You now have 30 seconds left 10987654321STOP 27.Write 1000000000 as the product of two numbers, neither of which contains any zeros. A. 2 7 x 5 11 B. 2 8 x 5 10 C. 2 9 x 5 9 D. 2 10 x 5 8 E. 2 11 x 5 7

9. You now have 30 seconds left 10987654321STOP 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? A. 33 seconds B. 30 seconds C. 36 seconds D. 2 minutes E. 2 minutes 6 secs

10. You now have 30 seconds left 10987654321STOP 29.The value of (1) 10 +(-1) 7 + (-1) 4 + (1) 9 is: A. 0 B. 1 C. 2 D. –1 E. -2

11. You now have 30 seconds left 10987654321STOP 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? A. 49.99 m B. 49.5 m C. 49.95 m D. 49.05 m E. 45 m

12. You now have 30 seconds left 10987654321STOP 31.The sum of 7 consecutive integers is 84. The smallest of these integers is: A. 8 B. 9 C. 10 D. 11 E. 12

13. You now have 30 seconds left 10987654321STOP 32.If x=, find the largest value in the list below. A. x B. x 2 C. D. 80% of x E.

14. You now have 30 seconds left 10987654321STOP 33.If 2 4 + 2 3 + 2 2 + 2 2 = 2 x, then the value of x is: A. 6 B. 4 C. 8 D. 5 E. 11

15. You now have 30 seconds left 10987654321STOP 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? A. 9B. 18C. 20D. 24E. 36

16. You now have 30 seconds left 10987654321STOP 35.Which of the following statements is not true? A. There is only one even prime number B. 61 is a prime number C. 196 is a perfect square number D. 23 is the product of two different integers E. 127 is a perfect cube

17. You now have 30 seconds left 10987654321STOP 36.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. A. 5B. 6C. 7D. 8E. 9

18. You now have 30 seconds left 10987654321STOP 37.Which of the following is 25% less than x. A. 0.75x B. 25x C. 0.25x D. 75x E. x - 25

19. You now have 30 seconds left 10987654321STOP 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? A. $27D. $44 B. $36E. $40 C. $48

20. You now have 30 seconds left 10987654321STOP 39.How many ten-thousandths are required to make one-tenth? A. 10 B. 100 C. 1000 D. 10000 E. 100000

21. You now have 30 seconds left 10987654321STOP 40.How many times does the second hand of a clock revolve in one full day of 24 hours? A. 24B. 60C. 360D. 1440 E. 86400

22. You now have 30 seconds left 10987654321STOP 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? A. 14B. 21C. 35D. 49E. 63

23. You now have 30 seconds left 10987654321STOP 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. A. 100 km/hD. 132.5 km/h B. 112.5 km/hE. 135 km/h C. 125 km/h

24. You now have 30 seconds left 10987654321STOP 43.Find the ratio of the area of a regular hexagon to the area of an equilateral triangle if their perimeters are equal. A. 3:2B. 1:1C. 1:3D. 2:3E. 1:4

25. You now have 30 seconds left 10987654321STOP 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? A. 1987B. 1980C. 1977D. 1979E. 1971

26. You now have 30 seconds left 10987654321STOP 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? A. 0B. 1C. 2D. 3E. 4

27. You now have 30 seconds left 10987654321STOP 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? A. 240B. 280C. 320D. 360E. 400

28. You now have 30 seconds left 10987654321STOP 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. A.B.C.D.E.

29. You now have 30 seconds left 10987654321STOP 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? A. 6 and 3 B. 8 and 5 C. 1 and 7 D. 7 and 6 E. None of these

30. You now have 30 seconds left 10987654321STOP 49.What is the units ’ digit of 8 100 ? A. 0 B. 8 C. 2 D. 4 E. 6

31. You now have 30 seconds left 10987654321STOP 50.Given that xy = 5, simplify A. 1D. 2 10 B. 2 20 E. 2 40 C. 2 5