GE103 Sample Midterm Exam Questions PDF

Summary

This is a sample midterm exam for GE103, focusing on Mathematics in the Modern World. The exam contains multiple-choice questions covering various mathematical concepts and topics. The questions are likely suitable for undergraduate students.

Full Transcript

**NAME: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ SCORE: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_** **PROGRAM/SECTION: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ INSTRUCTOR: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_** **MULTIPLE CHOICE. *Read the questions carefully and choose...

**NAME: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ SCORE: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_** **PROGRAM/SECTION: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ INSTRUCTOR: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_** **MULTIPLE CHOICE. *Read the questions carefully and choose the letter from the given choices below.*** 1. Using body parts, tally marks, sticks and stones to count and represent numbers were done by: a. b. c. d. e. 2. The word mathematics comes from the Greek word "μάθημα" (máthēma) which means a. b. c. d. e. 3. The branch of mathematics that is involved in the study of the physical, biological, or sociological world. a. b. c. d. e. 4. According to \_\_\_\_\_\_\_\_\_, math exists objectively and independent of human thought. a. b. c. d. e. 5. It is driven by abstract problems, rather than real-world problems. a. b. c. d. e. 6. Who is the "Father of Numbers"? a. b. c. d. e. 7. Mathematics helps an individual develop \_\_\_\_\_\_\_\_\_. a. b. c. d. e. 8. Refer to the heptagram in the picture. What is its angle of rotation? a. b. c. d. 9. Which of the following polygons is not an example of spherical symmetry? a. b. c. d. e. 10. A figure with a rotational angle of 45° is: a. b. c. d. e. f. 11. Which of the following is asymmetric? a. 12. Which of the following is an example with Fibonacci numbers? a. b. c. d. 13. It is a sequence formed by taking the reciprocals of arithmetic sequence. a. b. c. d. e. 14. The sequence "2, 2, 2, 2, 2,..." is not an example of a/an: a. b. c. d. e. 15. What is the next term in the sequence "34, 55, 89, 144, 233, 377"? a. b. c. d. e. 16. Which of the following do not show any type of sequence? a. b. c. d. e. 17. Identify which of the following is true. a. b. c. d. 18. Translate into a mathematical sentence: The product of 2 and a number increased by 5 is more than 10. a. b. c. d. e. 19. The fourth root of the product of thirty-two and x raised to the third power is greater than or equal to the quotient of 5 and y. Translate into mathematical sentence. a. b. c. d. e. 20. Translate into a verbal translation the mathematical expression "[5 + 3*x* ≤ *y*]{.math.inline}". a. b. c. d. 21. The quotient of four multiplied by a number and 9 is at most 8. Translate into mathematical sentence. a. \ [\$\$\\text{a.\\ \\ \\ }\\frac{4x}{9} \> 8\$\$]{.math.display}\ \ [\$\$\\text{\\ b.\\ \\ \\ }\\frac{4}{9x} \\geq 8\$\$]{.math.display}\ \ [\$\$c\\text{.\\ \\ \\ }\\frac{4y}{9} \\geq 8\$\$]{.math.display}\ \ [\$\$\\ \\text{d.}\\text{\\ \\ \\ }\\frac{4y}{9} \\leq 8\$\$]{.math.display}\ 22. Which of the following denotes a mathematical sentence? a. b. c. d. 23. The quotient of the sum and difference of x and y is 25. Translate to mathematical sentence. \ [\$\$\\text{a.}\\text{\\ \\ \\ }\\frac{x + y}{x - y} = 25\$\$]{.math.display}\ \ [\$\$\\text{b.}\\text{\\ \\ \\ }\\frac{x + y}{x + y} = 25\$\$]{.math.display}\ \ [\$\$\\text{c.}\\text{\\ \\ \\ }\\frac{y + x}{y - x} = 25\$\$]{.math.display}\ \ [\$\$\\text{d.}\\text{\\ \\ \\ }\\frac{y - x}{y + x} = 25\$\$]{.math.display}\ 24. Thrice a number increased by 6 when written in symbols is \_\_\_\_\_\_\_\_\_\_\_. a. b. c. d. e. 25. What is the 7th term of the arithmetic sequence 20, 13, 6,...? a. b. c. d. e. 26. If a~1~ = 3 and d = 4, what is the value of a~37~? a. b. c. d. e. 27. If a~1~ = 1/2 and r = 2, what is the value of a~14~? a. b. c. d. e. 28. What is the 16^th^ term of the Fibonacci Sequence 0, 1, 1, 2, 3, 5, 8,...? a. b. c. d. e. 29. What is the 17^th^ term of an arithmetic sequence if a~25~ = 196 and d = 4? a. b. c. d. e. 30. Make a conjecture below between the relationship of the size of the resulting number and size of the original number. a. b. c. d. 31. A group of 266 persons consist of men, women, and children. There are four times as many men as children and twice as many women as children. How many of each are there? a. b. c. d. 32. Find the sum of the first 10 terms of the arithmetic sequence 2, 6, 10, 14, 18,... a. b. c. d. e. 33. Allan is 4 less than thrice as old as Erwin. The sum of the ages of the two boys is 44. How old is Allan? a. b. c. d. e. 34. The sum of half a number and 8 multiplied by four results to 36. What is the number? a. b. c. d. e. 35. Find the sum of the first 10 terms in the arithmetic sequence whose first term is 8 with a common difference of -4. a. b. c. d. e. 36. Use inductive reasoning to predict the next term below: \ [\$\$\\frac{3}{5},\\frac{5}{7},\\frac{7}{9},\\frac{9}{11}\$\$]{.math.display}\ a. b. c. d. e.

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