# Allama Iqbal Open University

ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD

(Department of Science Education)

[WARNING

1. 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.

2. SUBMITTING ASSIGNMENT(S) BORROWED OR STOLEN FROM OTHER(S) AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN “AIOU PLAGIARISM POLICY”.

Note: Before attempting assignments, please read the following instructions:

1. All questions are compulsory.

2. Read each question carefully before writing an answer.

3. 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.

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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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