Myschool CBT Challenge Season 6 - Prizes Worth N300,000 To Be Won!

Mathematics Past Questions

Change Subject Ask Question Check Syllabus Download App

16

Express \(\frac{1}{x^{3}-1}\) in partial fractions

  • A. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x + 2)}{x^{2} + x + 1})\)
  • B. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{x - 2}{x^{2} + x + 1})\)
  • C. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 2)}{x^{2} + x + 1})\)
  • D. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 1)}{x^{2} - x - 1})\)
View Answer & Discuss (10)
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
View Answer & Discuss (10)
18

Divide 4x\(^3\) - 3x + 1 by 2x - 1

  • A. 2x2-x+1
  • B. 2x2-x-1
  • C. 2x2+x+1
  • D. 2x2+x-1
View Answer & Discuss (28)
19

Find a positive value of \(\alpha\) if the coordinate of the centre of a circle x\(^2\) + y\(^2\) - 2\(\alpha\)x + 4y - \(\alpha\) = 0 is (\(\alpha\), -2) and the radius is 4 units.

  • A. 1
  • B. 2
  • C. 3
  • D. 4
View Answer & Discuss (11)
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. \(1.7+(25\frac{\sqrt{2}}{2}m\)
View Answer & Discuss (16)