Waec 2020 FURTHER MATHEMATICS Past Questions And Answers

Note: You Can Select Post UTME Schools Name Below The Exam Year.
1

If X = \(\frac{3}{5}\) and cos y = \(\frac{24}{25}\), where X and Y are acute, find the value of cos (X + Y).

  • A. \(\frac{117}{125}\)
  • B. \(\frac{24}{25}\)
  • C. \(\frac{3}{5}\)
  • D. \(\frac{7}{25}\)
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2

A circle with centre (5,-4) passes through the point (5, 0). Find its equation.

  • A. x\(^2\) + y\(^2\) + 10x + 8y + 25 =0
  • B. x\(^2\) + y\(^2\) +10x - 8y - 25 = 0
  • C. x\(^2\) + y\(^2\) - 10x + 8y + 25 =0
  • D. x\(^2\) + y\(^2\) -10x - 8y - 25 = 0
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3

Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18.

  • A. 7
  • B. 9
  • C. 10
  • D. 11
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4

In which of the following series can be the formula S = \(\frac{a}{1 - r}\) where a is the first term and r is the common ratio, be used to find the sum of all the terms?

  • A. 4 + 8 + 16 + 32 + ...
  • B. \(\frac{1}{2}\) + 2 \(\frac{1}{2}\) + 12\(\frac{1}{2}\) + 62 \(\frac{1}{2}\) + ..
  • C. \(\frac{4}{81}\) + \(\frac{2}{27}\) + \(\frac{1}{9}\) + \(\frac{1}{6}\) + ...
  • D. 128 + 64 + 32 + 16 + ...
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5

(a) A bag contains 10 red and 8 green identical balls. Two balls are drawn at random from the bag, one after the other, without replacement. Find the probability that one is red and the other is green.

(b) There are 20% defective bulbs in a large box. If 12 bulbs are selected randomly from the box, calculate the probability that between two and five are defective.

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6

Calculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive

  • A. \(\frac{2}{3}\)
  • B. \(\frac{1}{2}\)
  • C. \(\frac{1}{3}\)
  • D. \(\frac{1}{6}\)
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7

(a) Two functions p and q are defined on the set of real numbers, R, by p : y \(\to\) 2y +3 and q : y -> y - 2. Find QOP

(b) How many four digits odd numbers greater than 4000 can be formed from 1,7,3,8,2 if repetition is allowed?

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8

Given that F = 3i - 12j, R = 7i + 5j and N = pi + qj are forces acting on a body, if the body is in equilibrium. find the values of p and q.

  • A. p=-10, q=7
  • B. p=-10, q=-7
  • C. p=10, q=- 7
  • D. p-10, q=7
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9

If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in the values of p, q and k respectively.

  • A. 3, \(\frac{-1}{3}\), 5
  • B. \(\frac{-1}{3}\), 3, 5
  • C. 3, \(\frac{-1}{3}\), 3
  • D. 3, \(\frac{-1}{3}\), 3
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10

Differentiate \(\frac{x}{x + 1}\) with respect to x.

  • A. \(\frac{x}{x + 1}\)
  • B. \(\frac{-1}{x + 1}\)
  • C. \(\frac{1 - x}{(x + 1)^2}\)
  • D. \(\frac{1}{(x + 1)^2}\)
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