# 9-11 State Maths Paper 2021. docx

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9-11 State Maths Paper 2021

 1 STATE DA VINCI DECATHLON 2021 CELEBRATING THE ACADEMIC GIFTS OF STUDENTS IN YEARS 9, 10 & 11 MATHEMATICS TEAM NUMBER _____________ 1 2 3 4 Total Rank /9 /16 /16 /9 /50 Task developed by Giacomo Rotolo-Ross, University of Sydney, 20202 QUESTION ONE ROLL UP, ROLL UP 9 MARKS When one thinks of numbers and βchanceβ, a dice is the first thing that comes to mind. Almost everyone, it can be said with certainty, will picture ab six-sided one. Dice with more or less sides do exist but are very uncommon, and at the most they might have a few extra sides β perhaps 12 at the maximum. Dice Lab, however, a small Arizonan company, had other ideas, and set about creating a sided dice back in 2016. The mathematical name for this shape is ab disdyakis triacontahedron, and this is the focus of the present task 1. How many edges does a disdyakis triacontahedron have ______________(1 mark) 2. How many vertices does the shape have _______________ (1 mark) 3. What type of triangles are the faces _______________ (1 mark) 4. Which feature of the shape does the equation below represent _________(1 mark) 180 11 (5 + 4β5) 5. Which feature of the shape does the equation below represent ________(1 mark) 180 11οΏ½179 β 24β5 6. Complete the equation, which represents the number of possible combinations of numbers from 1 to 120 that could be placed on the shape, by inserting a number in the brackets (3 marks). ππ = 10( )7. The above number is greater than the estimated number of atoms in the universe. True or false _________________ (1 mark) Task developed by Giacomo Rotolo-Ross, University of Sydney, 20203 Download 0.63 Mb.Share with your friends:
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