### Mathematics Past Questions

16
Three consecutive positive integers k, l and m are such that l2 = 3(k+m). Find the value of m
• A. 4
• B. 5
• C. 6
• D. 7
17
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)}
18
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
19

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

• A. 2x2-x+1
• B. 2x2-x-1
• C. 2x2+x+1
• D. 2x2+x-1
20
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