### Mathematics Past Questions

16
Express $$\frac{1}{X^{3}-1}$$ in partial fractions
• A. 1/3{(1/x-1)-(x-2/x2-x+1)}
• B. 1/3{(1/x-1)-(x+2/x2+x+1)}
• C. 1/3{(1/x-1)-(x-2/x2+x+1)}
• D. 1/3{(1/x-1)-(x-2/x2-x-1)}
17
The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.
• A. 8/5
• B. 8/3
• C. 72/25
• D. 56/9
18

Divide 4x3-3x+1 by 2x-1

• A. 2x2-x+1
• B. 2x2-x-1
• C. 2x2+x+1
• D. 2x2+x-1
19
Find a positive value of ã if the coordinate of the centre of a circle X2+y2-2ãx+4y-ã = 0 is (ã,-2) and the radius is 4 units.
• A. 1
• B. 2
• C. 3
• D. 4
20
A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the tree?
• A. 26.7m
• B. 14.2m
• C. $$1.7+(25\frac{\sqrt{3}}{3}m$$
• D. $$1.7+(25\frac{\sqrt{2}}{2}m$$