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 481:

  

  Triangle SPT is the solution of the linear inequalities

  Options:
  A) 2y - x - 2 $\le$ 0, y + 2x + 2 $\ge$ 0, x $\ge$ 0
  B) 2y - x - 2 $\ge$ 0, y + 2x + 2 $\le$ 0, -2 $\ge$ x $\ge$ -1
  C) -2 $\ge$ x $\ge$ 2, y $\le$ 0, y + 2x + 2 $\ge$ 0, x $\ge$ 0
  D) 2y - x - 2 $\ge$ 0, y + 2x + 2 $\ge$ 0, y $\le$ 0, x $\ge$ 0
  Show Answer
  The correct answer is C .
• Question 482: A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books, How many customers has he altogether. Options:
  A) 30
  B) 40
  C) 50
  D) 60
  Show Answer
  The correct answer is B .
• Question 483:

  Calculate 243${}_{six}$ – 243${}_{five}$ expressing your answer in base 10.

  Options:
  A) 1
  B) 26
  C) 46
  D) 0
  Show Answer
  The correct answer is C .
• Question 484:

  If X = {all the perfect squares less than 40}

  Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

  Options:
  A) {3, 9}
  B) {9}
  C) {9, 25}
  D) {1, 9}
  Show Answer
  The correct answer is D .
• Question 485: The probabilities that a man and his wife live for 80 years are $\frac{2}{3}$ and $\frac{3}{5}$ respectively. Find the probability that at least one of them will live up to 80 years Options:
  A) $\frac{2}{15}$
  B) $\frac{3}{15}$
  C) $\frac{7}{15}$
  D) $\frac{13}{15}$
  Show Answer
  The correct answer is D .
• Question 486:

  Find p, q for which $\left(\begin{array}{cc}2p& 8\\ 3& -5q\end{array}\right)$$\left(\begin{array}{c}1\\ 2\end{array}\right)$$\left(\begin{array}{c}24\\ -17\end{array}\right)$

  Options:
  A) -1, 4
  B) 4, 5
  C) 4, 2
  D) 2, -4
  Show Answer
  The correct answer is C .
• Question 487:

  Evaluate $lo{g}_{\sqrt{2}}4+lo{g}_{\frac{1}{2}}16-lo{g}_{4}32$

  Options:
  A) -5.5
  B) -2.5
  C) 2.5
  D) 5.5
  Show Answer
  The correct answer is B .
• Question 488: 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 489:

  If x is positive real number, find the range of values for which $\frac{1}{3x}$ + $\frac{1}{2}$x = $\frac{2+3x}{6x}$ > $\frac{1}{4x}$

  Options:
  A) x > -$\frac{1}{6}$
  B) x > 0
  C) 0 < x < 6
  D) 0 < x <$\frac{1}{6}$
  Show Answer
  The correct answer is A .
• Question 490: An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R Options:
  A) 90${}^{\circ }$
  B) 135${}^{\circ }$
  C) 225${}^{\circ }$
  D) 270${}^{\circ }$
  Show Answer
  The correct answer is C .