3 marks 5 Solve for x in log 3x 4 log 3 x 1 3 marks 6 a Factorize completely 2

# 3 marks 5 solve for x in log 3x 4 log 3 x 1 3 marks 6

• 14

This preview shows page 3 - 10 out of 14 pages.

(3 marks) 5. Solve for x in log (3x + 4) – log (3 – x) = 1 (3 marks) 6. (a) Factorize completely. (2 marks) 3x 2 + xy – 2y 2 3

Subscribe to view the full document.

(a) Make F the subject of the formula. (3 marks) W = H - 2 FL 3F 7. Three quantities X, Y and Z are such that X varies directly as the square of Y, and inversely as Z. Given that X = 3 when Y = 6 and Z = 15, find the value of X when Y = 4 and Z = 5. (3 marks) 4
8. The diagram alongside represents a circular flower bed surrounded by a path of uniform width. Given that R = 14m, and r 2 12.6m, calculate to the nearest whole number, the area of the path (Take л = 22 / 7 ) (3 marks) 9. Without using logarithm tables find y , if y = log 10 96 + 3 log 10 5 – log 2 10 (3 marks) 5

Subscribe to view the full document.

10. An arc subtends an angle of 0.9 radius. If the radius of the circle is 14cm, find the length of arc. (2 marks) 11. In the triangle PQR drawn below, PQ = 12cm, QR = 10cm and PQR = 143.7 0 . Find PR. (3 marks) 6
12. Solve the equation. (2 marks) 4 - 1 = 3 - X X X + 3 13. The radius of a cylinder is increased by 50% while its height is decreased by 25%. The curved surface area of the new cylinder is 135cm 2 . Determine the curved surface area of the old cylinder. (4 marks) 7

Subscribe to view the full document.

14. Find the value of y in the figure below. The chords AB and CD intersect externally at point O (3 marks) 15. Use matrix method to solve the following simultaneous equations. (3 marks) 2b + 3a = 12 4a – b = 5 8
16. Give an expression for the n

Subscribe to view the full document.

• Fall '18
• ANYANZWA

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern