Waec 2021 Mathematics Past Questions And Answers

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

In the diagram O is the centre of the circle PQRS, ∠PQR = 72° and OR is parallel to PS. Find ∠OPS

  • A. 18°
  • B. 108°
  • C. 54°
  • D. 36°
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2

In the diagram, line \(\overline{EC}\) is a diameter of the circle ABCDE.

If angle ABC equals 158°, find ∠ADE

  • A. 112°
  • B. 90°
  • C. 68°
  • D. 22°
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3
A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. calculate the area of the region not covered by the trapezium.

π =\(\frac{22}{7}\)

  • A. 84cm2
  • B. 80cm2
  • C. 30cm2
  • D. 94cm2
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4

A fair die is tossed 60 times and the results are recorded in the table

Number of die123456
Frequency1510142811

Find the probability of obtaining a prime number.

  • A. \(\frac{7}{30}\)
  • B. \(\frac{1}{6}\)
  • C. \(\frac{7}{15}\)
  • D. \(\frac{8}{15}\)
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5

find the first quartile of 7,8,7,9,11,8,7,9,6 and 8.

  • A. 8.5
  • B. 7.0
  • C. 7.5
  • D. 8.0
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6

if p = {-3 < x < 1} and Q = {-1 < x < 3}, where x is a real number, find P n Q.

  • A. 0
  • B. -3, -2, -1, 0 and 1
  • C. -2, -1 and 0
  • D. -1, 0 and 1
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7

Find, correct to two decimal, the mean of 1\(\frac{1}{2}\), 2\(\frac{2}{3}\), 3\(\frac{3}{4}\), 4\(\frac{4}{5}\), and 5\(\frac{5}{6}\).

  • A. 3.71
  • B. 3.70
  • C. 3.69
  • D. 3.72
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8

If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find the value of (q - p)

  • A. -32
  • B. -16
  • C. 16
  • D. 32
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9

A committee consists of 6 boys and 4 girls. In how many ways can a sub-committee consisting of 3 boys and 2 girls be formed if one particular boy and one particular girl must be on the sub-committee?

  • A. 120
  • B. 80
  • C. 56
  • D. 30
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10

A bag contains 24 mangoes out of which six are bad. If 6 mangoes are selected randomly from the bag with replacement, find the probability that not more than 3 are bad.

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