Mathematics Exam Past Questions and Answers | JAMB, WAEC and NECO

Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.

• Question 311:

  Find the non-zero positive value of x which satisfies the equation

  $\left[\begin{array}{ccc}x& 1& 0\\ 1& x& 1\\ 0& 1& x\end{array}\right]$ = 0

  Options:
  A) 2
  B) $\sqrt{3}$
  C) $\sqrt{2}$
  D) 1
  Show Answer
  The correct answer is C .
• Question 312:

  If y = 8x${}^3$ - 3x${}^2$ + 7x - 1, find $\frac{{\mathrm{d}}^{2}y}{\mathrm{d}{x}^2}$.

  Options:
  A) 48x - 6
  B) 11x${}^2$ + 6x - 7
  C) 32x + 7
  D) 24x${}^2$ - 6x + 7
  Show Answer
  The correct answer is A .
• Question 313: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 314: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 315:

  

  In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40${}^{\circ }$ and YTW = 30${}^{\circ }$. What is YXW?

  Options:
  A) 50${}^{\circ }$
  B) 75${}^{\circ }$
  C) 35${}^{\circ }$
  D) 115${}^{\circ }$
  E) 30${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 316: Increase 135 in the ratio 3:5 Options:
  A) 225
  B) 216
  C) 143
  D) 140
  E) 140
  Show Answer
  The correct answer is A .
• Question 317:

  A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

  Options:
  A) N16,200
  B) N14,200
  C) N12,000
  D) N8,000
  Show Answer
  The correct answer is A .
• Question 318: If y = 2x² + 9x - 35. Find the range of values for which y < 0. Options:
  A) 7 < x < $\frac{5}{2}$
  B) -5 < 7 < x
  C) -7 < x < 5
  D) -7 < x < $\frac{5}{2}$
  Show Answer
  The correct answer is D .
• Question 319: 5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively an d have a mean of 5.7. Find the value of k Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 320: A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. Correct your answer to Four significant figures. (Earth radius = 6400km) Options:
  A) 6468km
  B) 5469km
  C) 4470km
  D) 3470km
  E) 2488km
  Show Answer
  The correct answer is C .