math wizard contest - 2012

7/31/2019 Math Wizard CONTEST - 2012

1/33

EASY ROUND2 points , 15 seconds


2/33

If there are 3 microscopes for every 4 medical

students, how many microscopes are neededfor 44 students?

15 seconds

EASY ROUND


3/33

33


4/33

If 52 of the 70 seats on a bus were occupied, whatpercent of the seats were not occupied?

15 seconds

EASY ROUND


5/33

%71.25


6/33

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


7/33

liters3

133


8/33

How many diagonals are there in a

PENTADECAGON?

15 seconds

EASY ROUND


9/33

90


10/33


11/33


12/33


13/33

x5


14/33


15/33


16/33

AVERAGE ROUND 3 points , 30 seconds


17/33


18/33

230.26


19/33

Evaluate:

x x

x 3sin

10lim

2

2

0

30 seconds

AVERAGE ROUND


20/33

111.19

10or


21/33

Solve the equation: 2[3-2(3-2x)] = 2(3+x)

30 seconds

AVERAGE ROUND


22/33

2


23/33

Find the length of segment AE in the rectanglebelow

30 seconds

AVERAGE ROUND

B

A

C

D

E

?

5

8

4


24/33

55 or 7.42


25/33

Find x - y, given that x 4 = y 4 + 24,x2 + y 2 = 6, and x + y = 3.

30 seconds

AVERAGE ROUND


26/33

4/3


27/33

DIFFICULT ROUND 5 points , 60 seconds


28/33

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?


29/33

10

(x = 1 , 2 , 5 , 10 , 17 , 26 , 37 , 50 , 65 , 82)


30/33

Identify the property of real number being illustrated:3 + (2 + 5) = (3 + 2) +5

60 seconds

DIFFICULT ROUND


31/33

Associative property of addition


32/33

How many real numbers x are solutions tothe following equation?

60 seconds

DIFFICULT ROUND

2003 x + 2004 x = 2005 x


33/33

1

math wizard contest - 2012

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