2. Click when ready...

3. Individual Competition Part I Questions 1 - 25

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 1.Alexis, Phil, Kit and Terri had a race. Their finishing order was 1, 2, 3, 4 with no ties. Phil beat Terri, but was not 1st or 3rd Alexis was just one place in front of Terri. What was their finishing order? A. Kit, Alexis, Terri Phil, B. Alexis, Phil, Kit, Terri C. Kit, Phil, Alexis, Terri D. Kit, Phil, Terri, Alexis E. Terri, Phil, Kit, Alexis

8. You now have 30 seconds left 10987654321STOP 2. An emergency contact phone system is in place at a school. The headteacher calls 5 teachers who each call 5 parents. The parents in turn each call 5 other parents. No person is called more than once. How many people are informed about the emergency? (Assume all calls are answered) A.25B. 31C. 125D. 126E. 156

9. You now have 30 seconds left 10987654321STOP 3.A man is aged 71 and his daughter is 34. What age will the daughter be when she is half the age of her father? A. 35D. 41 B. 37E. 43 C. 39

10. You now have 30 seconds left 10987654321STOP 4.If August 5th falls on a Tuesday, on which day of the week will New Years Day fall? A. Monday D. Thursday B. Tuesday E. None of these C. Wednesday

11. You now have 30 seconds left 10987654321STOP 5.How many acute angles can be found in this drawing? A.1B. 3C. 4D. 5E. 6

12. You now have 30 seconds left 10987654321STOP 6.Find a number whose double is bigger than its half by 99. A. 66D. 54.5 B. 33E. 143.5 C. 99

13. You now have 30 seconds left 10987654321STOP 7.A square lawn has a path 1 metre wide which goes around the outside of all the four edges. The area of the path is 40 square metres. What is the area of the lawn? A. 49m 2 D. 99m 2 B. 81m 2 E. 100m 2 C. 88m 2

14. You now have 30 seconds left 10987654321STOP 8.How many days are there in the shortest century? A. 36500D. 36524 B. 36504E. 36525 C. 36505

15. You now have 30 seconds left 10987654321STOP 9.A car has travelled 24,000 km and, in that distance, has worn out 6 tyres. Each tyre travelled the same distance. How many miles did each separate tyre travel? A. 16000D. 8000 B. 4000E. 36000 C. 18000

16. You now have 30 seconds left 10987654321STOP 10.The mean average of 6 numbers is 8. If the numbers 18 and –6 are added to this list the new mean average will be: A. 12D. 8 B. 6.5E. 6 C. 7.5

17. You now have 30 seconds left 10987654321STOP 11.–4  x  3, -3  y  3, 2  z  6 and p =, then the largest value that p can be is: A. 1.5D. 9 B. 4.5E. 1 C. 6

18. You now have 30 seconds left 10987654321STOP 12.A shopkeeper’s selling price for a jacket is 45% higher than the cost price of the jacket. If he gives a customer a 20% discount for the jacket and makes a $10 profit, what was the cost price of the jacket? A.$64B.$65C.$62D.$62.5E.$68.5

19. You now have 30 seconds left 10987654321STOP 13.The smallest number with exactly 25 factors is: A. 2 25 B. 2 2 3 2 5 2 C. 6 4 D. 2 5 3 5 E. None of these

20. You now have 30 seconds left 10987654321STOP 14.Mr Wheeler was exactly 5 years older than his wife and they had two children. If you multiply together the parents' ages, and then add together the twins' ages, and divided one result by another, the answer is 57 exactly. How old is Mr Wheeler? A. 45B. 57C. 59D. 61E.99

21. You now have 30 seconds left 10987654321STOP 15.All of the odd numbers from 1 to 1999 are added together. What is the total? A. 1999000 B. 2001000 C. 998000 D. 1001000 E. 1000000

22. You now have 30 seconds left 10987654321STOP 16.AB = 25 and AC = 7. BD = DC. Find the value of AD. A. 193B. 195C. 200 D. 13E. 14

23. You now have 30 seconds left 10987654321STOP 17.The scale of a map is 1:1000. The map is reduced on a photocopier to 25% of its original area. The new scale will be : A. 1:500 B. 1:250 C. 1:1000 D. 1:100 E. 1:10000

24. You now have 30 seconds left 10987654321STOP 18.The digits 6, 7, 8 and 9 are used to make all the possible four digit integer numbers. These numbers are then ordered. What position is the number 8697 in? A. 12 th D.15 th B. 13 th E. 16 th C. 14 th

25. You now have 30 seconds left 10987654321STOP 19.What is the probability that a randomly selected two-digit number is a multiple of 14? A.D. B.E. C.

26. You now have 30 seconds left 10987654321STOP 20.A portrait of Einstein measures 15 cm x 20 cm. It is placed in a rectangular frame that measures 20 cm x 25 cm. The percentage of space in the frame not covered by the picture is: A. 80%D. 60% B. 30%E. 40% C. 20%

27. You now have 30 seconds left 10987654321STOP 21.In the diagram the numbers in each quarter circle is the same. The value of x + y + z is A. 75D. 171 B. 64E. 300 C. 54

28. You now have 30 seconds left 10987654321STOP 22.A salesman drives from Amsterdam to The Hague. The first half of his journey, he drives at a constant speed of 80 km/h. The second half of his journey, he drives at a constant speed of 120 km/h. Calculate his average speed for the entire journey. A. 90km/hD. 105 km/h B. 96 km/hE. 108 km/h C. 100 km/h

29. You now have 30 seconds left 10987654321STOP 23.There are two cubes. For both of them, their edge-lengths are a whole number of centimetres. Curiously, the total of their volumes is exactly equal to the total of all their edge-lengths. What is their total volume? A. 35 cm 2 D. 72 cm 2 B. 133 cm 2 E. 91 cm 2 C. 189 cm 2

30. You now have 30 seconds left 10987654321STOP 24.Integers from 1 to n are placed evenly around a circle. The number 6 is opposite 21. The value of n is A. 31 B. 30 C. 28 D. 26 E. 24

31. You now have 30 seconds left 10987654321STOP 25.How many times can a coin rotate in rolling completely about another coin of twice the diameter? A. 2  D.2 B.  2 E. 3 C.  r