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 1471: 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 1472: Evaluate ${\int }_{\frac{-\pi }{2}}^{\frac{\pi }{2}}cosxdx$ Options:
  A) zero
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is C .
• Question 1473:

  

  In the diagram. Find h

  Options:
  A) $\frac{12}{7}$cm
  B) $\frac{12}{7}\sqrt{6}$cm
  C) $\frac{7}{12}$cm
  D) $\frac{1}{2}$cm
  Show Answer
  The correct answer is B .
• Question 1474: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 1475: Evaluate $\frac{lo{g}_5(0.04)}{lo{g}_{3}18-lo{g}_{3}2}$ Options:
  A) 1
  B) -1
  C) $\frac{2}{3}$
  D) -$\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 1476: Solve for x, If $\frac{\frac{2}{x}}{\frac{p^2+p^2}{p^2+p^2}}$ = m Options:
  A) $\frac{4pq}{m(p+q)}$
  B) $\frac{2p^2{q}^2}{m(q^2+p^2)}$
  C) $\frac{2pq}{m(q^2+p^2)}$
  D) $\frac{2p^2{q}^2}{m(p^2)}$
  Show Answer
  The correct answer is B .
• Question 1477: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 1478: If S = $\sqrt{t^2-4t+4}$, find t in terms of S Options:
  A) S² - 2
  B) S + 2
  C) S - 2
  D) S² + 2
  Show Answer
  The correct answer is B .
• Question 1479: Find the positive value of x if the standard deviation of the numbers 1, x + 1 is 6 Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is C .
• Question 1480:

  A poultry farmer realized 200 eggs from his birds and sold 5 $\frac{1}{2}$ crates of eggs. What percentages of eggs are left?

  Options:
  A) 82.5%
  B) 15%
  C) 17.5%
  D) 85%
  Show Answer
  The correct answer is C .