math wizard contest - 2012
TRANSCRIPT
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7/31/2019 Math Wizard CONTEST - 2012
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EASY ROUND2 points , 15 seconds
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If there are 3 microscopes for every 4 medical
students, how many microscopes are neededfor 44 students?
15 seconds
EASY ROUND
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33
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If 52 of the 70 seats on a bus were occupied, whatpercent of the seats were not occupied?
15 seconds
EASY ROUND
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%71.25
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A container contains 100 liters of a solution of acid and water. The solution is 40% acid. How
much water must be added to obtain a solution
that is 30% acid?
15 seconds
EASY ROUND
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liters3
133
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How many diagonals are there in a
PENTADECAGON?
15 seconds
EASY ROUND
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90
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x5
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AVERAGE ROUND 3 points , 30 seconds
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230.26
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Evaluate:
x x
x 3sin
10lim
2
2
0
30 seconds
AVERAGE ROUND
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111.19
10or
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Solve the equation: 2[3-2(3-2x)] = 2(3+x)
30 seconds
AVERAGE ROUND
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2
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Find the length of segment AE in the rectanglebelow
30 seconds
AVERAGE ROUND
B
A
C
D
E
?
5
8
4
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55 or 7.42
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Find x - y, given that x 4 = y 4 + 24,x2 + y 2 = 6, and x + y = 3.
30 seconds
AVERAGE ROUND
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4/3
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DIFFICULT ROUND 5 points , 60 seconds
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60 seconds
DIFFICULT ROUND
For how many integers x in the set
{1, 2 , 3 , , 99 , 100}
is x3 x2 the square of an integer?
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10
(x = 1 , 2 , 5 , 10 , 17 , 26 , 37 , 50 , 65 , 82)
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Identify the property of real number being illustrated:3 + (2 + 5) = (3 + 2) +5
60 seconds
DIFFICULT ROUND
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Associative property of addition
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How many real numbers x are solutions tothe following equation?
60 seconds
DIFFICULT ROUND
2003 x + 2004 x = 2005 x
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1