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 1541: What is the number whose logarithm to base 10 is 2.3482? Options:
  A) 223
  B) 2228
  C) 2.235
  D) 22.37
  E) 0.2229
  Show Answer
  The correct answer is E .
• Question 1542: If y = x sinx, find $\frac{dy}{dx}$ Options:
  A) sin x - x cosx
  B) sinx + x cosx
  C) sinx - cosx
  D) sinx + cosx
  Show Answer
  The correct answer is B .
• Question 1543: If x = 3 - $\sqrt{3}$, find x² + $\frac{36}{x^2}$ Options:
  A) 9
  B) 18
  C) 24
  D) 27
  Show Answer
  The correct answer is C .
• Question 1544: The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff? Options:
  A) $\frac{5\surd 3m}{3}$
  B) 5√3m
  C) 10√3m
  D) $\frac{10\surd 3m}{3}$
  Show Answer
  The correct answer is C .
• Question 1545: 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 1546: Simplify $\frac{x+2}{x+1}$ - $\frac{x-2}{x+2}$ Options:
  A) $\frac{3}{x+1}$
  B) $\frac{3x+2}{(x+1)(x+2)}$
  C) $\frac{5x+6}{(x+1)(x+2)}$
  D) $\frac{2x^2+5x+2}{(x+1)(x+2)}$
  Show Answer
  The correct answer is C .
• Question 1547: Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour Options:
  A) $\frac{119}{144}$
  B) $\frac{95}{144}$
  C) $\frac{37}{72}$
  D) $\frac{49}{144}$
  E) $\frac{1}{6}$
  Show Answer
  The correct answer is C .
• Question 1548: If x > 0, find the range of the numbers x - 3, 3x + 2, x - 1, 4x, 2x - 1, x - 2, 2x - 2, 3x and 3x + 1 Options:
  A) 3x + 3
  B) 3x + 1
  C) 2x + 5
  D) 2x + 1
  Show Answer
  The correct answer is B .
• Question 1549: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 1550: 5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively an d have a mean of 5.7. Find the value of k Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .