Allama Iqbal Open University
ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
(Department of Science Education)
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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 Cramer’s 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 [pic] Then prove that [pic] (10)
Q.5 (a) Find the relation independent of “y” for the following equation. (10)
[pic]
(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 θ = 2/3 then find the remaining trigonometric ratios when θ lies in the first
quadrant. (10)
(b) Verify the trigonometric identity (10)
tan θ + Sec θ – 1
-------------------- = tan θ + Sec θ
tan θ - Sec θ + 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. (10)
|Marks |Frequency |
|10-20 |11 |
|20-30 |22 |
|30-40 |31 |
|40-50 |50 |
|50-60 |73 |
|60-70 |120 |
|70-80 |162 |
|80-90 |105 |
|90-100 |40 |
Q. 5 Explain the following terms. Also add examples where needed.
i. Mode ii. Median
iii. Quartiles iv. Deciles ( 5x4)
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