NC Math 3 EOC Questions

The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the central angle?

• A. 1.5

• B. 3

• C. 4

• D. 8π

Given the circle below:

• A. 54°

• B. 75°

• C. 78°

• D. 102°

Select all the expressions for which (x - 2) is a factor.

• 3x^3 + 6x^2 - 6x - 36

• 2x^3 + 5x^2 - x - 6

• x^4 + 3x^3 - 10x^2

• 3x^4 + 2x^3 - 35x^2 - 18x + 72

Nancy can paint a fence in 3 hours. It takes Ben 4 hours to do the same job. If they were to work together to paint a fence, approximately how many hours should it take?

• 1.7

• 2.0

• 3.2

• 5.8

In the diagram below of circle O, chords AB and CD intersect at E. If CE = 10, ED = 6 and AE = 4, what is the length of EB?

• A) 2.4

• B) 6.7

• C) 12

• D) 15

A polynomial equation with real coefficients has roots at x = ±1 and x = 2i. What is the minimum degree of the polynomial equation?

• A) 3

• B) 4

• C) 5

• D) 6

In the diagram below, a quarter of a circle centered at the origin is graphed. What three-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

• A) cone

• B) sphere

• C) cylinder

• D) hemisphere

Which of these conclusions and justifications is the most reasonable?

• The difference in means for the two treatment groups is likely due to the random assignment since the difference is negative.

• The difference in means for the two treatment groups is likely due to the random assignment since there is at least one value in the histogram with a greater absolute difference than 11.47 gallons of gas.

• The randomization distribution does not give any evidence that the difference between the two treatment groups is due to the special instructions.

• The randomization distribution provides strong evidence that the difference in means for the two treatment groups is due to the treatment because the difference is highly unlikely based on random assignment alone.

In triangle ABC, point E (5,1.5) is the circumcenter, point H (4.3, 2.3) is the incenter, and point I (3.6, 2.6) is the centroid. What is the approximate length of the radius that circumscribes triangle ABC?

• A) 4.03

• B) 4.87

• C) 5.03

• D) 5.63

When a sample is randomly selected from a population, what is most likely to occur?

• A) The sample distribution will be identical to the population distribution.

• B) The sample distribution will be quite similar to the population distribution at first, but will become less similar as the sample gets larger.

• C) The sample distribution will be quite different from the population distribution at first, but will become more similar as the sample gets larger.

• D) The sample distribution will not be at all similar to the population distribution.