2001 H.S. Mathematics Contest

 

 

WSMC Warm-up Round Knowdown 2001

"I will read the question twice then you will have 5 seconds to answer and your last answer given in the five seconds will be the accepted one. If the answer is incorrect there is no penalty. You will continue in the Knowdown.

Evaluate negative 3 multiplied by the quantity 4 minus 7

9

Find the hypotenuse of a right triangle with legs of 3 and 4

5

Solve for x in three x plus 2 equals 17

5

Reduce 27 x squared divided by 9x

3x

Evaluate 17 divided by one half

34

Find the slope of the line that has the equation y=4x-3

4

Evaluate the negative of 2 squared

-4

In which quadrant is the point 6, -1?

Fourth

Evaluate three times the square root of 81

27

Give all positive integral factors of 18

1,2,3,6,9,18

Evaluate the cube root of 64

4

Simplify the quantity 4 minus 9, (pause) divided by 5

-1

Square 0.5

0.25 or 1/4

Give the decimal for two thirds

0.6 repeating

How many hours is 300 minutes?

5

Find 40% of 50

20

Solve two minus x equals 5

-3

Evaluate three fourths divided by 2

3/8

Solve for x in x squared equals 9.

3 of -3

Find the y intercept for the equation y equals two thirds x minus one.

-1 or (0, -1)

WSMC First Round Knowdown 2001

"I will read the question twice then you will have 10 seconds to answer and your last answer given in the ten seconds will be the accepted one. If the answer is incorrect you will be asked to turn in your nametag and leave the competition. Any questions? Let's begin."

Two coins are tossed, what is the probability that both are heads?

1/4

Find the slope of the line through the points (2, 0) and (0,7)

-7/2 of -3.5

Evaluate two thirds squared.

4/9 or .4 repeating

Multiple 3 x squared and 5 x to the seventh.

15 x 9

Evaluate 14 divided by one third

42

Solve 4 x minus 6 equals 10

4

Find the slope of the line whose equations is y equals three minus two x

-2

Evaluate the cube root of negative 8

-2

In which quadrant is the point negative four, six?

Second

Find the square root of 0.16

0.4

Find 70% of 30.

21

Find the radius of a circle that has an area of 121_.

11

If y equals 4x subtract 2, what is y when x is negative 3

-14

Find the absolute value of the quantity negative 2 cubed

8

Evaluate 1/2 minus 1/3

1/6 or 0.1666…

Find the area of a right triangle with sides of 5, 12 and 13

30

Simplify the product of 2 square root of 3 and 5 square root 3

30

Find the y intercept for the line with the equation y equals negative 6 subtract 4x

-6 or (0,-6)

How many positive integral factors are there for 32

6

 

WSMC Second Round Knowdown 2001

"The second round will consist of five questions. In this round I will read the question and all of you will write your final answer on the pad of paper in front of you. You will have 15 seconds to answer and I will count down the final three seconds; 3, 2, 1, 0. When I say zero your pencil must be on the desk in front of you or you will be disqualified. Before each question, put your name at the top of the piece of paper. I (we) will collect the papers after each question and those persons with the correct answers will continue. I will collect the nametags for those that are eliminated. Are there any questions? Let's begin."

In a triangle with sides Ã2, Ã2 and 2, what is the smallest interior angle?

45° or

_/4 radians

Simplify the quantity negative 7 times x cubed, (pause) divided by the quantity 49 times x to the negative one.

(1/7)x4 or x4/7

 

How many minutes are in 2.5 degrees?

150

 

Expand the quantity 2x subtract 3, (pause) squared

4x2-12x+9

 

 

 

Graph x greater than or equal to y

 

 

 

 

WSMC Third Round Knowdown 2001

"I will place the question on the overhead and you will have 20 seconds to write your answer on your paper. I (we) will count down the last three seconds as in round two and then collect your papers. Again if your pencil is not down by the count of zero your answer will not be accepted. You will be able to use an SAT approved calculator on this section. Are there any questions? Let's begin."

 

Describe the transformation where

(x,y) is mapped to (-x,y)

 

 

 

 

 

 

 

 

 

 

 

 

Flip about the y axis

Expand: (2x+1)3

 

 

 

8x3+

12x2+

6x+1

If f(x)=x2-2x3+x,

find f(-3)

 

 

 

 

 

 

60

If the legs of a right triangle are 15 and 17, find the hypotenuse to 3 decimal places.

 

 

 

 

 

 

 

 

 

22.672

Find the slope of the line perpendicular to

3x-2y=11

 

 

 

 

 

 

 

 

-2/3

Two dice are thrown, What is the probability that the sum is 9 or only one is a 5?

 

 

 

 

 

 

 

 

 

 

 

12/36 or 1/3

 

 

Find the volume

of the cone:

 

 

 

 

 

 

 

 

 

 

 

 

128_ or ~402

Find x in:

 

 

 

 

 

 

 

 

 

 

 

~51°

Solve for x to 3 decimal places:

x2 + x - 3 = 0

 

 

 

 

 

 

 

1.303 and

-2.303

If f(x)=2x2-3, find f(x+2)-f(x) in simplest form.

 

 

 

 

 

 

8x+8

Write the equation of the line through the points

(4, 3) and (7, -1) in Ax+By=C form.

 

 

 

 

 

 

 

 

 

4x+3y=25

Find x in:

Logx27-2•logx3=3

 

 

 

 

 

 

 

 

 

Cubed root of 3

If f(x)=0.5x2-3x, find f(f(f(2))).

 

 

 

 

 

 

140

Find x where A is the

Center:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

32.5°

Simplify the complex number:

(i3-2)3

 

 

 

 

 

 

 

 

-2-11i

Write an equation for the following where each mark on the x and y axis is one unit:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Y=

-||x|-1|

or

-|-|x|+1|

Find the distance between (4,5) and the line 5x-3y=11.

 

 

 

 

 

 

6/Ã34 or (3Ã34)/17

or

~1.03

Find the sum of the multiples of 4 between

0 and 99.

 

 

 

 

 

 

 

 

1200

Find the standard deviation for:

10, 13, 15, 10, 7, 11.

 

 

 

 

 

 

 

 

2.5 or 2.8

Evaluate:

 

 

 

 

 

 

 

 

 

 

 

 

140

Find x in:

 

 

 

 

 

 

 

 

 

~59

Find the solution to the following system of equations:

5x - 6y = -13 and x+8y=2

 

 

 

 

 

 

 

 

 

 

(-2, .5)

Find f '(x) if

f(x)=(3x-7)2

 

 

 

 

 

6(3x-7) or

18x-42