Ge 04 Mathematics In The Modern World Midterm Exam PDF

**GE 04**-**MATHEMATICS IN THE MODERN WORLD MIDTERM EXAMINATION** **1st Semester A.Y.2023-2024** **(Prepared by: Instr. Ryan Christian G. Diokno)** Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Date: \_\_\_\_\_\_\_\_\_\_\_\_ Course/Section: \_\_\_\_...

**GE 04**-**MATHEMATICS IN THE MODERN WORLD MIDTERM EXAMINATION** **1st Semester A.Y.2023-2024** **(Prepared by: Instr. Ryan Christian G. Diokno)** Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Date: \_\_\_\_\_\_\_\_\_\_\_\_ Course/Section: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Score: \_\_\_\_\_\_\_\_\_\_\_ **Multiple Choice:** Choose the letter that corresponds to your correct answer and write it in the line segment before each number. If correct answer is not found in the choices, write **N**. Calculator is allowed to use. \_\_\_\_\_1. By 2040, GSU is a premier university on education, green technology, innovations, and community transformation excelling in the holistic development of globally competitive, locally responsive and resilient human capital. a\. Mission b. Vision c. Quality policy d. Objectives \_\_\_\_\_2. GSU is committed to produce globally-competitive, technologically-equipped and research-oriented graduates of quality and innovative advanced and higher education programs in sustainable agriculture, fisheries, forestry and tourism, entrepreneurship, liberal arts, education, healthcare, sciences and good governance. a\. Mission b. Vision c. Quality policy d. Objectives \_\_\_\_\_3. What is the next term in the figure? a\. b. c. d. \_\_\_\_\_4. Patterns in nature are visible regularities of form found in natural world. a\. True b. false c. neither d. both a and b \_\_\_\_\_5. If Fib (1) = 1 and Fib (3) = 2, find Fib (4) + Fib (6). \_\_\_\_\_6. Find Fib (27)? \_\_\_\_\_7. If Fib (5) = 5 and Fib (10) = 55, what is Fib (15)? \_\_\_\_\_8. (Fib (33)- Fib (25)) + Fib (10) = \_\_\_? a\. 3,449,610 b. 3,494,016 c. 4,543,220 d. 4,409,610 \_\_\_\_\_9. Fib (37) / Fib (3)? a\. 12, 708, 951 b. 12, 078, 915 c. 12, 870,159 d. 12, 807,519 \_\_\_\_\_\_10. The population of the Philippines in 1987 was 5 million and the relative growth rate was estimated at 2% per year. Assuming that the Philippines population follows an exponential growth model. Find the projected world population in 1995. a\. 5, 850, 000 b. 11,768, 300 c. 12, 870,159 d. 6, 450, 760 \_\_\_\_\_\_11. Translate this statement "Seven more than twice a number [*n*]{.math.inline}"in a mathematical expression. \_\_\_\_\_\_12. What value of **X** will make 4x \< 5 a false statement? \_\_\_\_\_\_13. Which is true about a mathematical sentence? \_\_\_\_\_\_14. The value of [*y*]{.math.inline} = 1 is a solution to 6[*y*]{.math.inline} -- 2 = 7. a\. Always true b. sometimes true c. always false d. sometimes false \_\_\_\_\_\_15. Which represents "[*twice* *the* *value* *of* *x* *is* *greater* *than* 5 *less* *than* *Y*]{.math.inline}"? \_\_\_\_\_\_16. To what value of X in the statement [5*x* -- 2 \> 12]{.math.inline} will be true? \_\_\_\_\_\_17. Evaluate 2^3^ + 4 + 6(2^2^-1) ÷ 2(3^2^-6) - 4 \_\_\_\_\_\_18. Which of the following represents a function? \_\_\_\_\_\_19. Given C={0, 1, 2, 3, 4}, find n(C). \_\_\_\_\_\_20. Let A={0, 1, 2, 3, 4, 5, 6} ; B={1, 2, 3, 4, 5, 6} C = {7, 8, 9, 10} and U={0,1, 2, 3, 4, 5, 6, \_\_\_\_\_\_21. Which statement about functions and relations is always true? \_\_\_\_\_\_22. Given a set of ordered pairs {(1,B), (2, N), (3, M), (4, a), (5, s)}. What is the set of the domain? \_\_\_\_\_\_23. Which of the following is a function? x 4 16 36 49 64 81 100 --- --- ---- ---- ---- ---- ---- ----- y a. x 1 -2 3 7 -2 5 6 --- --- ---- --- --- ---- --- --- y 3 4 5 8 6 9 7 b\.. x 1 3 3 4 4 5 5 --- --- ---- --- ---- --- ---- --- y 3 -4 5 -6 7 -8 9 c. x 3 3 1 0 --- ---- ---- ---- ---- y -1 -2 -3 -4 d. \_\_\_\_\_\_24.Identify the graph of[ *y*≤  − 2]{.math.inline}. a.  c. b.  d. \_\_\_\_\_\_25. What is the decimal value for the binary number 1010? a\. 8 b. 10 c. 16 d. 32 \_\_\_\_\_\_26. Add: 0.1 + 1.1 + 1.001 + 11.01 a\. 13.111 b. 13.211 c. 11.111 d. 13.22 \_\_\_­­\_\_\_27. 11011 x 101 = \_\_\_\_\_\_28.  1101 / 11 = \_\_\_­\_\_\_29. A strategy in solving problem where you think of a temporary solution and try if it \_\_\_\_\_\_30. Carla thinks of a number, she multiplied the number by 5 and add 27 to get 72. What number did Carla think at first? What strategy could be used to solve this a\. Make a list b. work backwards c\. Draw a diagram d. look for a pattern \_\_\_\_\_\_31. Elaine is trying to solve her assignment in problem solving, "The houses of Guzman Street are numbered consecutively from 1 to 100. How many of these house numbers \_\_\_\_\_32. Ben tried to solve a problem. He draws the illustration of the problem situation. What strategy did he applied? a\. Make a list b. work backwards c. draw a diagram d. look for a pattern \_\_\_\_\_33. Ana weighs 3 kg more than her sister Nina. Their total weight is 105 kg. What is Ana's weight? What information is given in the problem? \_\_\_\_\_34. Mary earns an annual salary of 91, 800 pesos. How much did she earn every month? \_\_\_\_\_35. Ben have 43 apples and gave 12 to her sister and 5 to his younger brother. How many Apples will be left for her mother? \_\_\_\_\_36. A certain machine can produce 50 nuts in two hours. How many nuts can be produced by the machine in half hour? a\. 100 b. 50 c. 25 d. 12.5 \_\_\_\_\_37Lina saves P2.50 every day from her allowance. How much will she save for two months if there are 22 class days in a month? \_\_\_\_\_38. A family of seven members, three of which are children went to Hong Kong \_\_\_\_\_39. Fred needs 22 m of rope for his boat. If the cost of rope per meter is P7.75, what is the total cost of the rope? a\. P17.05 b. P170.50 c. P175.00 d. P1, 705.00 \_\_\_\_\_40. Peter is a student assistant at the dean's office. He is paid P10.75 per hour. How much he would receive for the week if he rendered 4 hours a day for 5 days? \_\_\_\_\_41. The following describes the characteristics of the median EXCEPT. a\. It divides the distribution into half b\. 50% of the distribution is below the median c\. 50% of the distribution is above the median d\. More of the distribution is at the center \_\_\_\_42. It is a grouping of the data into categories showing the number of observations in each of the non-overlapping classes. a\. raw data b. Class limits c. interval d. frequency distribution *For numbers (43-45)*. The number of vehicles observed in ten major roads in Guimaras are: 1657,1705, 1646, 1705, 1800, 1756, 1724, 1756, 1769, and 1705. \_\_\_\_43. What is the mode? a\. 1657 & 1646 b. 1759& 1705 c. 1705 & 1756 d. 1724&1800 \_\_\_\_44. What is the median? a\. 1724 b. 1737 c. 1740 d. 1745 \_\_\_\_45. What is the mean? a\. 1722.3 b. 1721. 4 c. 1723. 5 d. 1724.6 \_\_\_\_46. You also want to graphically assess whether there is a positive association between total daily production level (measured in terms of the dollar value of good widgets produced) and daily cost of scrap and re-work (measured in the cost in dollars of lost materials and labor to correct errors) across the divisions for the past 90 days. The best way to evaluate this is to use a: \_\_\_\_47. The quartiles divide the data set into four equal parts. Which of the following does NOT show the characteristics of the quartiles? \_\_\_\_48 In order to summarize production for the past month, both broken down by the number of each type of widget produced by each division, as well as the total number of each type of widget produced and the total production for each division, you would use a: a\. Scatterplot b. Contingency table c\. Confidence interval d. Side-by-side boxplot \_\_\_\_49. About how many percent of the distribution are clustered within the mean and 1 standard deviation? \_\_\_\_50. When the mean, median and mode are equal and located at the center of the distribution, which of the following is NOT true? a\. 50% is below the mean b.50% is above the mean c. more than 50% is below the mean d. the distribution is unimodal Stay safe everyone and God bless us all!