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 1131: If r varies inversely as the square root of s and t, how does s vary with r and t? Options:
  A) s varies inversely as r and t²
  B) s varies inverely as r² and t
  C) s varies directly as r² and t²
  D) s varies directly as r and t
  Show Answer
  The correct answer is B .
• Question 1132: What is the probability that an integer x $(1\le x\le 25)$ chosen at random is divisible by both 2 and 3? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{5}$
  C) $\frac{4}{25}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .
• Question 1133:

  A rectangular picture 6cm by 8cm is enclosed by a frame $\frac{1}{2}$cm wide. Calculate the area of the frame.

  Options:
  A) 15sq.cm
  B) 20sq.cm
  C) 13sq.cm
  D) 16sq.cm
  Show Answer
  The correct answer is A .
• Question 1134:

  If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

  Options:
  A) m = 0, n = 4
  B) m = 4, n = 0
  C) m = 2, n = 2
  D) m = -2, n = 4
  Show Answer
  The correct answer is A .
• Question 1135: Evaluate $\int$ sec²$\theta$ d $\theta$ Options:
  A) sec$\theta$ tan$\theta$ + k
  B) tan$\theta$ + k
  C) 2 sec$\theta$ + k
  D) sec$\theta$ + k
  Show Answer
  The correct answer is B .
• Question 1136: The chances of three independent events X, Y, Z occurring are $\frac{1}{2}$, $\frac{2}{3}$, $\frac{1}{4}$ respectively. What are the chances of Y and Z only occurring? Options:
  A) $\frac{1}{8}$
  B) $\frac{1}{24}$
  C) $\frac{1}{12}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 1137:

  At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?

  Options:
  A) $\frac{1}{2}$%
  B) 2$\frac{1}{2}$%
  C) 1.5%
  D) 25%
  Show Answer
  The correct answer is C .
• Question 1138: Solve the inequality (x - 3)(x - 4) $\le$ 0
  Options:
  A) 3 $\le$ x $\le$ 4
  B) 3 < x < 4
  C) 3 $\le$ x < 4
  D) 3 < x $\le$ 4
  Show Answer
  The correct answer is A .
• Question 1139: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 1140: Find the total surface area of solid cone of radius 2$\sqrt{3}$cm and slanting side 4$\sqrt{3}$ Options:
  A) 8$\sqrt{3}\pi$cm²
  B) 24$\pi$cm²
  C) 15$\sqrt{3}\pi$cm²
  D) 36$\pi$cm²
  Show Answer
  The correct answer is D .