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  1. M

    Australian Maths Competition

    Nah, I'm doing the intermediate. I don't think they vary too much in difficulty though as I've noticed that question 30 in the intermediate is around question 28/29 in senior. I've also noticed that their are quite a few common questions each year.
  2. M

    Australian Maths Competition

    Here's a link to some past papers: Link removed due to copyright Good luck!
  3. M

    Australian Maths Competition

    Nicely done, want to ask a new question?
  4. M

    Australian Maths Competition

    Thanks, I should definitely draw a picture next time so I don't get it wrong. Can't make mistakes like this in the competition on Thursday.
  5. M

    Australian Maths Competition

    NEW Q: . Small squares of side x cm have been removed from the corners, sides and centre of a square of side y cm to form the gasket shown. If x and y are prime numbers and the sum of the inside and outside perimeters of the gasket, in centimetres, is equal to the area of the gasket, in square...
  6. M

    Australian Maths Competition

    Yeah this is right. Could you see what part of my working out is wrong please: Area of roll = pi*r^2 = 36pi (diameter = 12) Area of tube = pi*r^2 = 4pi (diameter = 4) Area of annulus = 32pi After half has been used: 16pi Which gives us a radius of 4cm and a diameter of 8cm. This is...
  7. M

    Australian Maths Competition

    NEW Q: Thanom has a roll of paper consisting of a very long sheet of thin paper tightly rolled around a cylindrical tube. Initially, the diameter of the roll is 12 cm and the diameter of the tube is 4 cm. After Thanom uses half of the paper, the diameter of the remaining roll is closest to what...
  8. M

    Australian Maths Competition

    Yep, I saw that x^2-8x = 1001y^2 x(x-8) = 1001y^2 So for x+y to be at a minimum, we had to have y as low as possible. So I substituted y values from 1 onwards until I got a result that worked, Y=3, X=99 (99*91 = 1001*3^2)
  9. M

    Australian Maths Competition

    Around September iirc
  10. M

    Australian Maths Competition

    Thought this was a good question: A regular octahedron has eight triangular faces and all sides the same length. A portion of a regular octahedron of volume 120 cm^3 consists of that part of it which is closer to the top vertex than to any other one. In the diagram, the outside part of this...
  11. M

    imo 2017

    Great effort from the team.
  12. M

    Australian Maths Competition

    Unfortuantely that's incorrect @si2136 The answer they've given is 40
  13. M

    Australian Maths Competition

    Completed it for 1≤i≤2, 1≤i≤3 ... 1≤i≤5, and the answer was always a triangular number of n-1 For: 1≤i≤2, the sum of distances was 1 For: 1≤i≤3, the sum of distances was 3 For: 1≤i≤5, the sum of distances was 10 So for 1≤i≤42 the sum of distances will be 41*42/2 = 861 New Q: In a 3 × 3 grid...
  14. M

    AMC Math questions - Help?

    The radius of the circle is 5, so the area is 25pi Area of shape = Area of Quarter circle + Area of Quarter circle + (25 - Area of Quarter circle) + (25 - Area of Quarter circle) 25 is the area of a 5*5 square The top left and bottom right form quarter circles the top right and bottom left...
  15. M

    AMC Math questions - Help?

    Yep, the answer is 50. 25pi/4+25pi/4+(25-25pi/4)+(25-25pi/4)
  16. M

    Australian Maths Competition

    Continuing the Marathon: 1. A high school marching band can be arranged in a rectangular formation with exactly three boys in each row and exactly five girls in each column. There are several sizes of marching band for which this is possible. What is the sum of all such possible sizes? 2...
  17. M

    Australian Maths Competition

    Terry has invented a new way to extend lists of numbers. To Terryfy a list such as [1, 8] he creates two lists [2, 9] and [3, 10] where each term is one more than the corresponding term in the previous list, and then joins the three lists together to give [1, 8, 2, 9, 3, 10]. If he starts with a...
  18. M

    Australian Maths Competition

    Would you have any tips for the amc (especially last 5) and aimo? Completing them both this year.
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