Basic Mathematics Weightage

Centre for Foundation Studies Academic Year: 2020-2021 Spring Final Examination (Course work Part-2) Student Name: Student ID: Module Code: GFP-BM01 Section: Date: Module Title: Basic Mathematics Weightage: Course Work-2 55% + Oral Test 15% Duration: 4 Hours Total Marks: 100 Instructions: ▪ Use blue or black pen to answer the questions and pencil for drawings. ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ You should take a photo of your completed answers, paste them in a Word document. You have to write your section number, name and Student ID inside your Word file. You have to save your file as PDF and submit via the provided link. Make sure you have selected the option “Turned in” while submission. Cheating is strictly not allowed. Cheating during the exam will result in a mark of 0. Use of calculator is NOT allowed. The duration for this course work is 4 hours and it should be submitted within the time given. Late submissions will be treated with late submission regulations of the centre. Page 1 of 4 Q. No. Marks Q1 5 Q2 6 Q3 7 Q4 7 Q5 8 Q6 8 Q7 8 Q8 9 Q9 10 Q10 10 Q11 10 Q12 12 Total 100 First Marker 1st marker signature:__________________ Second Marker Agreed Mark Remarks 2nd marker signature:___________________ Page 2 of 4 Instruction : Use the last two digits of your College ID number for “N” in the following questions. For example, if your College ID number is 1929321, then N = 21 (Usage of any other number will be graded as 0) Q1. Add the polynomials. P(x) = 2x +Nx2 − 6 [5Marks] and Q(x) = −8x − 1 +5x 2 Q2. Convert the given measurements into metre . [3Marks] a) (N+50) km = ————————m b) Q3. [3Marks] (N+40)cm = ————————-m Simplify the rational expression: 𝑥 2 +𝑥−12 [7Marks] 𝑥 2 −9 Q4. Find the Arc Length of an arc formed by (N + 25) degree of circle with radius 5 cm. [7Marks] Q5. Prove that Cot A × Cosec A × 𝑇𝑎𝑛2 𝐴 = 𝑆𝑒𝑐 𝐴 [8Marks] Q6. Test the graph x 2 − y 2 = 2N for symmetry. [8Marks] Q7. Find the distance between the two points (N+2, 7) and (N+1, 3) using distance formula. Page 3 of 4 [8Marks] Q8. Shahid walks exactly (N+60) m from the base of the tower and looks up .The angle of elevation from the ground to the top of the tower is 60° . Find the height of the tower. [9Marks] Q9. Prove that the line through the points (−N, 2) and (5, −2) is Perpendicular to the line through the points (3, 𝑁) and (−1, −5) [10Marks] Q10. Find the roots of the polynomial x 2 + 8x + 7 using quadratic formula. [10Marks] Q11. Draw the graph of the equation y = x+N [10Marks] Q12. When 6 is added to 3 times a number, the result is 3N. Find the number. [12Marks] Table of trigonometric ratios of specific angles  sin  cos  tan  cosec  sec  cot  0 1 0 n.d. 1 n.d. 2 1 1 2 1 0 n.d. 1 n.d. n.d. means not defined End of Question Paper Page 4 of 4 0
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