Moodle M-1 Sample Quiz2

Mathematics 1 ACTUAL PAST QUIZ 2. Instruction: Use ball pens and calculators. Do not use cellphones. Fill up all blanks in the front cover of your bluebooks. Do not write anything on the first white page of your bluebook, except the following Activity I.D. Family Name, Name, M.I. Learning Center Mathematics 1 Midterms January 14, 2006

A. 300

I. Match the items in Column A to the letter of the correct match in Column B. Write the letters in your bluebooks. (10 points) Column A Column B 1. topology a. calculus 2. one-sided strip b. range 3 area under a c. equilateral curve 4. slope of d. similarity of Euclitangent line dean triangles 5. AAA e. definite integral 6. measures of f. rubber sheet central geometry tendency 7. mathematics g. Probability of change 8. mathematics h. mean median mode of chance 9. measure of i. Moebius strip variability 10. triangle with j. derivative 3 equal sides II Multiple Choice. Write the letter corresponding to the correct answer. If there is no answer write NONE. (10 points) 1. Which of the following is a rigid transformation? A. stretching B. reflection C. shrinking D. twisting 2. Which of the following is a measure of the 3rd angle of a Euclidean triangle if the first 2 are 500 and 300?

C. 500

D. 100

3. Find h in the given figure. A. 4sin400 B. 4cos400 4 h 4

C.

D.

sin 40 0

Score:

You may use scratch paper but only those written in the bluebooks will be considered.

B. 400

sin 40 0 4

400

4. Lines in this geometry are also Euclidean lines and parallel lines intersect. What geometry is this? A. Euclidean B. Hyperbolic C. Elliptic D. Projective 5. Which of the following is not a measure of variability? A. Range B. Mean C. Variance D. Standard Deviation 6. If the odds in favor of a candidate winning the elections are 4 : 3 what is the probability that he will lose? A.

3 4

B.

4 7

C.

3 7

D.

1 4

7. What is the slope of the line through the points (5, 6) and (7, 8)? A. 1 B. -1 C. 2 D. -2 8. If f ' (0) = 3, f ' (2) = −1 and f ' (1) = 0 , then which of the following is true? A. f is decreasing at x = 0 B. f is increasing at x = -1 C. f has horizontal tangent at x = 3 D. f has a relative maximum or a relative minimum at x = 1. 9. In an examination, if a score of 85 is the 98th percentile then which of the following is true? A. 85% of the examinees got below 98. B. 15% of the examinees got 98. C. 98% of the examinees got 85. D. 2% of the examinees got above 85. 10. In a normal distribution with mean 50 and standard deviation 10, what score is the 84th percentile? A. 60 B. 70 C. 80 D. 90

III. Fill in the blanks:

12. ∫12 (3 x + 1)dx

#1-2 depend on the region R bounded by the vertical lines x = 0 & x = 1, the x − axis and the

(13 – 15) Find the following derivatives f ‘ (x)

graph of the function y = x 2 . 1. Area of R is represented by the definite integral ______. 2. The area is ______.

3. The dual of the statement: “Three lines pass through a point” is ______. 4. Euclidean parallel lines meet at a point called the ______. 5 7 9 , ... 4 9 16

#5-7. Given the sequence 3, , , 5. The next term is ______. 6. The function f(n) is ______. lim f ( n ) = ______. n→∞

#8-10: Find the following limits: x 2 − 4x − 5 x−5

8.

lim x → 5

9.

lim (3x − 7) x → −2

10.

4n 2 − 2n _ 9 lim n → ∞ 2n 2 + 7 n − 5

(11 – 12) Find the following integrals: 11. ∫ x 3 dx

f(x) = 5

14. f(x) = 7x - 8 15.

#3-4. In projective geometry:

7.

13.

f(x) = 3x2 – 2x + 1