ࡱ> 8:7[ 0Tbjbj ;\ΐΐ% /////CCC8{tC/h{:"i"i"i"#/%/%/%/%/%/%/$<13:I/E/i"G""i"i"i"I///p/u%u%u%i"//#/u%i"#/u%u%:[)s*/BۡC"* //0/!*R4#4s*4/s*i"i"u%i"i"i"i"i"I/I/u%i"i"i"/i"i"i"i"4i"i"i"i"i"i"i"i"i" : ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD (Department of Science Education) [WARNING PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARD OF DEGREE/CERTIFICATE, IF FOUND AT ANY STAGE. SUBMITTING ASSIGNMENT(S) BORROWED OR STOLEN FROM OTHER(S) AS ONES OWN WILL BE PENALIZED AS DEFINED IN AIOU PLAGIARISM POLICY. Note: Before attempting assignments, please read the following instructions: All questions are compulsory. Read each question carefully before writing an answer. Read the relevant units of the study guide for writing the answer of a question and arrange the points in an appropriate manner for the answer. You may take help from other resources such as books, websites and other online resources for writing the answer of a question. You must mention the resources used for writing an answer, at the end of the answer. Assignment should be handwritten. Typed assignments will not be accepted. Write the answer in your own words. The answer of a question must contain at least 1200-1500 words. Leave 2-3 lines after every answer so that the tutor may provide feedback on your answer. Send each assignment separately under postal cover. You will receive your assignment back after it is checked. If any part of your assignment is not marked or there is an error in the calculation of total score of assignment, then you may contact your tutor/regional center for further guidance. Course: General Mathematics and Statistics (6401) Semester: Autumn, 2020 Level: B.Ed. (2.5/ 4 years)/BS Total Marks 100 Pass Marks: 50 ASSIGNMENT No. 1 (Units: 1 - 4) Q.1 (a) What is finance and describe its types. Also discuss the types of bank accounts. (10) (b) Differentiate between the direct and inverse proportion. Illustrate your answer with appropriate examples. (10) Q.2 (a) A boy bought a bicycle in Rs.10000 and sold in Rs.7500. Determine his profit or loss in %age. (10) (b) Find the marked price of a mobile phone which was sold in Rs. 16000 by giving 40% discount? (10) Q.3 (a) Differentiate between rational and irrational numbers. (10) (b) Give examples to explain the properties of real numbers (10) Q.4 (a) State Cramers Rule and solve the following system of equation. Give reason where solution is not possible. (10) 0.2x - 0.6y = 2 0.6x 0.2y = 4 (b) If  EMBED Equation.3  Then prove that  EMBED Equation.3  (10) Q.5 (a) Find the relation independent of y for the following equation. (10)  EMBED Equation.3  (b) Solve the following equations: (5 x 2) i. 7x 20 = 2x + 5 ii. 19y - 35 = 80 + 10x ASSIGNMENT No. 2 (Units: 5 - 9) Total Marks: 100 Pass Marks: 50 Q.1 (a) Construct an e-Circle of a triangle and describe all the steps for its construction. (10) (b) State and prove Pythagoras theorem. Also write its application. (10) Q.2 (a) If Sin  = 2/3 then find the remaining trigonometric ratios when  lies in the first quadrant. (10) (b) Verify the trigonometric identity (10) tan  + Sec   1 -------------------- = tan  + Sec  tan  - Sec  + 1 Q.3 (a) Find area and perimeter of a parallelogram whose height is 5cm and base is 8cm. (10) (b) Radius of base of cylinder is 14m and its height is 42m. Find area of curved surface and its total surface area. (10) Q.4 (a) Explain the following terms. i. Cumulative Frequency ii. Bivariate frequency (5+5) (b) Explain the coding method of finding A.M, also find A.M of the following data by using coding method. 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