Competition Knowledge
What day is it on?
April 2
Solve for x: 5x-(x-18)=6-2(x+15)
x= -7
What is the ratio of the opposite side divided by the adjacent side called?
Tangent
What is the value of
(3 + 2i) 4 where i=√ −1?
-119+120i
What is the distance from the actual point to the predicted point on a line of best fit called?
Residual
Do you get points counted off if you miss a question
Yes, but only one. A correct answer is worth 4 points
Write an equation in slope intercept form with this information: (1,2) and m=-3
y=-3x+5
What is an area of a circle with a radius of 12 cm?(round to the nearest hundredth or leave it in terms of pi)
144𝝿 or 452.39
What is the solution to the equation 22x-5 = 8x-1?
x= -2
A set of numbers has a mean of 134. Two numbers, 100 and 168, were added to the set. What will happen to the mean of the set?
The mean will not change.
How long do you have on the test?
Two hours
If 2x3-9x-7 is subtracted from 8x3-2x2+5x-6 is equal to Ax3+Bx2+Cx+D, then A+B+C+D=?
19
What are the coordinates of R', the image of R (2, 4) after a counterclockwise rotation of 90 degrees about the origin?
(-4,2)
Provide one of the solutions to this equation: x4 - 27x2 - 14x + 120 = 0
X=-4, X= -3, X=2, or X=5
For a given confidence level, what happens to the margin of error as the sample size decreases?
The margin of error increases.
How many questions is each test?
40
If 𝜃 is a third-quadrant angle with cos 𝜃 = -7/12 what is the value of tan 𝜃?
√95/7
A sphere with volume 36π cm3 is remolded into a right circular cone with the same radius as the sphere. What is the height of the cylinder?
4cm
An isosceles triangle has two congruent sides of length five with an included angle of 40 degrees. What is the length of the third side?
3.420
If two dice are rolled, what is the probability that the sum of the upturned faces is divisible by 3?
If you can eliminate one answer, should you guess?
Yes. Statistics
Bob and Rob invest $6000. Bob invests at a rate of 1.5% compound interest. Rob invests in a simple interest account. After 8 years, their investments are worth the same. What was Rob's interest rate?
1.58%
A quadratic function with one root 2-i has a maximum value of -3. What is the y-intercept of its graph?
-15
What is the average rate of change of √ (x2+x+5) on the interval (2,4)?
0.842
The 95% confidence interval found for the difference between sexes of the mean weight of a certain species of worms was 6.45 ± 4.02. What was the most likely p-value?
0.003