Mathematics Past Questions

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1
Look at this series: 2, 1, \(\frac{1}{2}\), \(\frac{1}{4}\), ... What number should come next?
  • A. \(\frac{1}{3}\)
  • B. \(\frac{1}{8}\)
  • C. \(\frac{2}{8}\)
  • D. \(\frac{1}{16}\)
  • E. \(\frac{1}{32}\)
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2
A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?
  • A. 25
  • B. 19
  • C. 18
  • D. 17
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3
If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.
  • A. \(\frac{1}{2}\)X
  • B. X-\(\frac{1}{4}\)
  • C. X-\(\frac{1}{3}\)
  • D. X-\(\frac{1}{2}\)
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4
Find the value of X if \(\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}\)
  • A. 3√2+4
  • B. 3√2-4
  • C. 3-2√2
  • D. 4+2√2
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5
If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}=a^{p} b^{q} c^{r}\) What is the value of p+2q?
  • A. (5/2)
  • B. -(5/4)
  • C. -(25/4)
  • D. -10
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