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 There are 25 multiple choice questions  You have 2 minutes to finish each question  There is no break in this round  A trial question will now follow

Trial Question ( ) x 50 equals A) B) C) D) E)

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You now have 30 seconds left STOP 1.Which of the following is an odd number? A) B) C) D) E)

You now have 30 seconds left STOP 2.Which of the following hexominoes is not a possible net for a cube? A) B) C) D) E)

You now have 30 seconds left STOP 3. I write out the numbers from 1 up to thirty in words. If N denotes the number of times I write the letter ‘n’, M denotes the number of times I write the letter ‘m’, and C denotes the number of times I write the letter ‘c’, then N + M + C equals: A) 31 B) 30 C) 29 D) 28 E) 27

You now have 30 seconds left STOP 4. The value of is: A) B) C) D) E)

You now have 30 seconds left STOP 5. What is the probability that the next person you meet has an above average (= mean) number of arms? A) 0 B) Nearly 0 C) 0.5 D) Nearly 1 E) 1

You now have 30 seconds left STOP 6. In this addition, different letters stand for different digits, but each letter represents the same digit each time it appears. If the letter O stands for 7, what digit must U represent? TWO +TWO FOUR A) 1 B) 3 C) 5 D) 7 E) 9

You now have 30 seconds left STOP 7.A square peg just fits in a round hole. What fraction of the hole is occupied by the peg? A) B) C) D) E) None of these

You now have 30 seconds left STOP 8.The 12 digits in a credit card number are to be written in the boxes below. The sum of any three consecutive digits is 16. The value of x is: A) 3 B) 4 C) 5 D) 6 E) 7 9x4

You now have 30 seconds left STOP 9.In the diagram, the triangle is equilateral. The ratio of the area of the inscribed circle to the area of the circumscribed circle is: A) 1:6 B) 1:4 C) 1:2√3 D) 1:3 E) 1:2

You now have 30 seconds left STOP 10. Which of the following integers has the smallest number of factors? A) 2 6 B) 3 5 C) 4 4 D) 5 3 E) 6 2

You now have 30 seconds left STOP 11. For the simultaneous equations 2x – 3y = 4 and 6y – 4x = 2: A) x = 1, y = -2/3 B) x = 0, y = 0 C) x = 2, y = 5/3 D) There are infinitely many solutions E) There is no solution

You now have 30 seconds left STOP 12.The units digit of an exact cube: A) Is never 0 B) Is never 2 C) Is never 3 D) Is never 9 E) Can be any digit 0 - 9

You now have 30 seconds left STOP 13. What is the value of A) √3 B) 3 C) 27 D) 81 E) 243

You now have 30 seconds left STOP 14. If h hens lay e eggs in d days, how many days would it take H hens to lay E eggs? A) B) C) D) E)

You now have 30 seconds left STOP 15. On Saturdays I work in Pizza Shack. Employees get 40% off the price of any meal. On Monday night, prices are reduced by 30% for all customers. And as a special promotion this month, all prices have been cut by 25%. What is the most I can save altogether if I go for a meal at Pizza Shack some time during this month? A) 95% B) 68.5% C) 55% D) 40% E) 31.5%

You now have 30 seconds left STOP 16. A sequence begins 1, 3, 4, 7, 11,…, each term is equal to the sum of the two previous terms. How many of the following statements are true? I The 20 th term is divisible by 2 II The 30 th term is divisible by 3 III The 40 th term is divisible by 4 IV The 50 th term is divisible by 5 A) 0 B) 1 C) 2 D) 3 E) 4

You now have 30 seconds left STOP 17. An n by n by n cube is constructed from n 3 unit cubes glued together, and the large cube is suspended in space. If I walk around the cube with one eye closed, what is the largest number of unit cubes I would ever be able to see at one time? A) 3n 2 – 3n + 1 B) 3n 2 – 3n C) 3n 2 – 1 D) 3n 2 E) 3n 2 – 9n +1

You now have 30 seconds left STOP 18. A metal rod AB hangs vertically from a hinge at A, so that the end B just touches the horizontal ground 2 m from a vertical wall. While A stays fixed, the lower end B is pushed to one side until it touches the wall, 2 cm above the ground. How long is the rod (in m)? A ) 100 B) √ C) D) 2 E)

You now have 30 seconds left STOP 19. An equilateral triangle is initially completely black. First the middle quarter is painted white. Then the middle quarter of each of the three remaining black triangles is painted white and so on. What fraction of the triangle ultimately remains black? A) 0 B) 1/4 C) 1/3 D) 1/2 E) 9/13

You now have 30 seconds left STOP 20. In 1990, the Australian Government decided that Australia would plant one billion (i.e. one thousand million) trees in the following decade. If one billion trees were planted during the 10 years, on average, how many were planted per second? A) 0.03 B) 0.3 C) 3 D) 30 E) 300

You now have 30 seconds left STOP 21. Forty years ago Mike McNamara cycled km in 12 hours. In the same time trial Beryl Burton completed km. How much faster was Beryl’s average speed than Mike’s (in metres per hour)? A) 1.2 B) 10 C) 11 D) 100 E) 1200

You now have 30 seconds left STOP 22. What is the area of the triangle shown here? A) 20 B) x C) 80 D) 20x E) It depends on x 20 x2x2x

You now have 30 seconds left STOP 23. Rectangle ABCD is made up of 6 squares. The areas of two of the squares are shown. The perimeter of rectangle ABCD in cm is: A) 44 B) 46 C) 48 D) 50 E) 52

You now have 30 seconds left STOP 24. The graph of x 2 – y 2 = 0 is: A) a straight line B) a parabola C) a circle D) a single point E) two straight lines

You now have 30 seconds left STOP 25. If and what is the value of ? A) 2B) 4 C) 8D) 16 E) 32