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Further Mathematics Past Questions

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1041

The gradient of the curve y = mx\(^2\) + 3x - 1 at the point (-1, 1) is 9. Find the value of m

  • A. - 3
  • B. 3
  • C. \(\frac{-5}{4}\)
  • D. \(\frac{5}{4}\)
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1042

If kx\(^2\) is a term in the binomial expansion of (1 - 2x)\(^4\), find the value of k. 

  • A. -24
  • B. -8
  • C. 8
  • D. 24
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1043

A fair dice is thrown twice. Find the probability that the sum obtained will be a factor of 12.

  • A. \(\frac{1}{3}\)
  • B. \(\frac{5}{18}\)
  • C. \(\frac{1}{9}\)
  • D. \(\frac{7}{18}\)
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1044

A body of mass 42 kg increases its speed from 15 ms\(^{-1}\) to 43 ms\(^{-1}\) in 12 seconds. Find the force acting on the body.

  • A. 203N
  • B. 150N
  • C. 98N
  • D. 52N
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1045

Given that M and N are two sets. Which of the following is the same as (M ∩ N)'? 

  • A. M' ∩ N'
  • B. M' U N
  • C. M ∩ N'
  • D. M' U N'
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