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 491:

  A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.

  Options:
  A) $\frac{2}{11}$
  B) $\frac{5}{11}$
  C) $\frac{6}{11}$
  D) $\frac{8}{11}$
  Show Answer
  The correct answer is A .
• Question 492: 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 493: If (K2)₆ * 3₆ = 3₅(K4)₅, what is the value of k? Options:
  A) 1
  B) 4
  C) 3
  D) 2
  Show Answer
  The correct answer is D .
• Question 494: Integrate $\frac{x^2-\sqrt{x}}{x}$ with respect to x Options:
  A) $\frac{x^2}{2}-2\sqrt{x}+K$
  B) $\frac{2(x^2-x)}{3x}+K$
  C) $\frac{x^2}{2}-\sqrt{x}+K$
  D) $\frac{(x^2-x)}{3x}+K$
  Show Answer
  The correct answer is A .
• Question 495:

  A ship sets sail from port A (86${}^o$N, 56${}^o$W) for port B (86${}^o$N, 64${}^o$W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.

  [Take $\pi$= 3.142 and R = 6370 km]

  Options:
  A) 62 km
  B) 97 km
  C) 389 km
  D) 931 km
  Show Answer
  The correct answer is A .
• Question 496: Find ∫(sin x + 2)dx Options:
  A) cos x + x² + K
  B) cos x 2x + K
  C) -cos x + x² + K
  D) -cos x + 2x + K
  Show Answer
  The correct answer is D .
• Question 497: Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils? Options:
  A) 10.5yrs.
  B) 11yrs.
  C) 11.5 yrs.
  D) 12yrs.
  E) 12.5yrs.
  Show Answer
  The correct answer is C .
• Question 498: If log7.5 = 0.8751, evaluate 2 log75 + log750 Options:
  A) 6.6252
  B) 6.6253
  C) 66.252
  D) 66.253
  Show Answer
  The correct answer is B .
• Question 499:

  The marks scored by 30 students in a Mathematics test are recorded in the table below:

  Scores (Mark)	0	1	2	3	4	5
  No of students	4	3	7	8	6	2

  What is the total number of marks scored by the children?

   

  Options:
  A) 82
  B) 15
  C) 63
  D) 75
  Show Answer
  The correct answer is D .
• Question 500: ($\frac{x^a}{x^b}$)^{a + b} by ($\frac{x^{a+b}}{x^{a-b}}$)^{$\frac{a^2}{b}$} Options:
  A) x^-a2
  B) x^b2
  C) x^{a2 - b2}
  D) $\frac{1}{x^{a2+b2}}$
  E) x^{b2 - a2}
  Show Answer
  The correct answer is D .