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 261: The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place. Options:
  A) 128.3m
  B) 108.8m
  C) 80.2m
  D) 57.7m
  E) 42.5m
  Show Answer
  The correct answer is E .
• Question 262:

  The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both?

  Options:
  A) $\frac{2}{15}$
  B) $\frac{3}{4}$
  C) $\frac{7}{15}$
  D) $\frac{1}{15}$
  Show Answer
  The correct answer is C .
• Question 263: One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{8}$
  C) $\frac{7}{24}$
  D) $\frac{1}{4}$
  E) $\frac{1}{24}$
  Show Answer
  The correct answer is D .
• Question 264:

  

  If K is a constant, which of the following equations best describes the parabola?

  Options:
  A) y = kx²
  B) x = y² - k
  C) y = k - x²
  D) x² = y² - k
  E) y = (k - x)²
  Show Answer
  The correct answer is B .
• Question 265:

  Determine the area of the region bounded by y = $2x^2$ + 10 andY= $4x+16$.

  Options:
  A) 18
  B) $\frac{-10}{3}$
  C) $\frac{44}{3}$
  D) $\frac{64}{3}$
  Show Answer
  The correct answer is D .
• Question 266: Evaluate $\int$(sinx - 5x²)dx Options:
  A) -cosx - 10x + k
  B) cosx - $\frac{5x^3}{3}$ + k
  C) -cosx - $\frac{5x^3}{3}$ + k
  D) cosx - 10x + k
  Show Answer
  The correct answer is C .
• Question 267:

  Inpreparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart?

  Options:
  A) 30${}^o$
  B) 60${}^o$
  C) 112.5${}^o$
  D) 157.5${}^o$
  Show Answer
  The correct answer is D .
• Question 268: Evaluate $\frac{1.25\times 0.025}{0.05}$, correct to 1 decimal place Options:
  A) 0.6
  B) 6.2
  C) 6.3
  D) 0.5
  Show Answer
  The correct answer is A .
• Question 269: Simplify log¹⁰ a^{$\frac{1}{3}$} + $\frac{1}{4}$log₁₀ a - $\frac{1}{12}$log₁₀a⁷ Options:
  A) 1
  B) $\frac{7}{6}$log₁₀ a
  C) zero
  D) 10
  Show Answer
  The correct answer is C .
• Question 270: If 3^2y + 6(3^y) = 27. Find y Options:
  A) 3
  B) -1
  C) 2
  D) -3
  E) 1
  Show Answer
  The correct answer is E .