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 1791:

  Add 54 ${}_{eight}$ and 67${}_{eight}$ giving your answers in base eight

  Options:
  A) 111
  B) 121
  C) 123
  D) 143
  Show Answer
  The correct answer is D .
• Question 1792: In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse. Options:
  A) 24m
  B) 14m
  C) 12m
  D) 7m
  E) 6m
  Show Answer
  The correct answer is A .
• Question 1793: Evaluate the integral ${\int }_{\frac{\pi }{12}}^{\frac{\pi }{4}}$ 2 cos 2x dx Options:
  A) -$\frac{1}{2}$
  B) -1
  C) $\frac{1}{2}$
  D) 1
  Show Answer
  The correct answer is C .
• Question 1794: Simplify $\frac{3\frac{2}{3}\times \frac{5}{6}\times \frac{2}{3}}{\frac{11}{15}\times \frac{3}{4}\times \frac{2}{27}}$ Options:
  A) $5\frac{2}{3}$
  B) 30
  C) $4\frac{1}{3}$
  D) 50
  Show Answer
  The correct answer is D .
• Question 1795: Solve for a positive number x such that 2(x³ - x² - 2x) = 1 Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 1796: 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 1797: Find the reciprocal of $\frac{\frac{2}{3}}{\frac{1}{2}+\frac{1}{3}}$ Options:
  A) $\frac{4}{5}$
  B) $\frac{5}{4}$
  C) $\frac{2}{5}$
  D) $\frac{6}{7}$
  Show Answer
  The correct answer is B .
• Question 1798:

  Rationalize $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}$

  Options:
  A) $-5-2\sqrt{6}$
  B) $-5+3\sqrt{2}$
  C) $5-2\sqrt{3}$
  D) $5+2\sqrt{6}$
  Show Answer
  The correct answer is A .
• Question 1799:

  i. S∩T∩W = S
  ii. S∪T∪W = W
  ii. T∩W = S

  If S$\subset$T$\subset$W. Which of the above statements are true?

  Options:
  A) i and ii
  B) i and iii
  C) ii and iii
  D) i, ii and iii
  Show Answer
  The correct answer is B .
• Question 1800:

  Find the derivative of y = ( $\frac{1}{3}$x + 6)

  Options:
  A) 2( $\frac{1}{3}$x + 6
  B) $\frac{2}{3}$ ( $\frac{1}{3}$x + 6)
  C) $\frac{2}{3}$ ( $\frac{1}{3}$x + 6)²
  D) $\frac{1}{3}$ ( $\frac{1}{3}$x + 6)²
  Show Answer
  The correct answer is B .