Mathematics Past Questions And Answers

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531

(a) Forces \(F_{1} = \begin{pmatrix} -5 & 4 \end{pmatrix} N; F_{2} = \begin{pmatrix} 2 \\ 5 \end{pmatrix} N; F_{3} = \begin{pmatrix} 2 & -1 \end{pmatrix} N\) and \(F_{4} = \begin{pmatrix} 3 & -5 \end{pmatrix} N\) act on a body. Find the :

(i) resultant of these forces ; (ii) fifth force that will keep the body in equilibrium.

(b) A body moving at 20 ms\(^{-1}\) accelerates uniformly at 2.5 ms\(^{-2}\) for 4 seconds. It continues the journey at the speed for 8 seconds, before coming to rest in t seconds with a uniform retardation. If the ratio of the acceleration to the retardation is 3 : 4,

(i) sketch the velocity- time graph of the journey ; (ii) find t ; (iii) find the total distance of the journey.

View Discussion (0)WAEC 2008 THEORY
532

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

  • A. 80cm2
  • B. 48cm2
  • C. 40cm2
  • D. 36cm2
View Discussion (0)WAEC 1996 OBJ
533

2, 2, 4, 6, 10 ,?

  • (a) 14
  • (b) 10
  • (c) 20
  • (d) 16
View Discussion (0)POST UTME UNILORIN
534

If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r

  • A. \(\frac{9}{25} pr^2\)
  • B. \(\frac{9}{25} p^2r\)
  • C. \(\frac{25}{9} p^2r\)
  • D. \(\frac{25}{9} pr^2\)
View Discussion (0)WAEC 2008 OBJ
535

Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.

  • A. 4000
  • B. 5000
  • C. 4500
  • D. 3500
View Discussion (0)WAEC 2022 OBJ
536

(a) If the mean of m, n, s, p and q is 12, calculate the mean of (m + 4), (n - 3), (s + 6), (p - 2) and (q + 8).

(b) In a community of 500 people, the 75th percentile age is 65 years while the 25th percentile age is 15 years. How many of the people are between 15 and 65 years?

View Discussion (0)WAEC 2018 THEORY
537

Bayo is double the age of Ibok and one third as old as Sanusi, who will be 48 years old in 6 years. How old is Ibok?

  • A. 6 years old
  • B. 12 years old
  • C. 7 years old
  • D. 14 years old
View Discussion (0)POST UTME UNILORIN
538

If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

  • A. 2/3
  • B. 4/5
  • C. 2/5
  • D. 1/2
View Discussion (0)JAMB 2019
539

In a particular year, the exchange rate of naira (N) varies directly with the Dollars{$}. If N1122 is equivalent to $8, find the Naira equivalent of $36

  • A. N8976
  • B. N5049
  • C. N140.25
  • D. N31.17
View Discussion (0)WAEC 2009 OBJ
540

Solve for x and y \(\begin{pmatrix} 1 & 1 \\ 3 & y \end{pmatrix}\)\(\begin{pmatrix} x \\ 1 \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ 1\end{pmatrix}\)

  • A. x = 3, y = 8
  • B. x = 3, y = -8
  • C. x = -8, y = 3
  • D. x = 8, y = -3
View Discussion (0)JAMB 1994