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Mathematics 2022 JAMB Past Questions

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6

If sin θ = -  \(\frac{3}{5}\) and θ lies in the third quadrant, find cos θ

  • A. \(\frac{4}{5}\)
  • B. - \(\frac{5}{4}\)
  • C. \(\frac{5}{4}\)
  • D. - \(\frac{4}{5}\)
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7

Simplify \(\frac{1}{3-√2}\) in the form of p + q√2

  • A. \(\frac{7}{3}\) - \(\frac{1}{7√2}\)
  • B. \(\frac{7}{3}\) + \(\frac{1}{7√2}\)
  • C. \(\frac{3}{7}\) - \(\frac{1}{7√2}\)
  • D. \(\frac{3}{7}\) + \(\frac{√2}{7}\)
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8

Find the length of a chord 3cm from the centre of a circle of radius 5cm

  • A. 8cm
  • B. 5.6cm
  • C. 7cm
  • D. 6.5cm
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9

Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

F R C G S M
28% 15% 20% 14% 10% 13%

If the above information is represented on a pie chart. What angle represents his spending on food?

  • A. 108.5
  • B. 100.8
  • C. 98.8
  • D. 120.5
  • D. 120.5
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10

A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?

  • A. 65.0cm\(^3\)
  • B. 70.5cm\(^3\)
  • C. 56.5cm\(^3\)
  • D. 60.0cm\(^3\)
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