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 451:

  

  In the diagram, angle QPR = 90${}^{\circ }$, angle PSR = 90${}^{\circ }$ and PR = 5 units. Find the length of QS.

  Options:
  A) 5 tan 25${}^{\circ }$ sin 65${}^{\circ }$
  B) 5 cos 25${}^{\circ }$ sin 65${}^{\circ }$
  C) 5 tan 25${}^{\circ }$ cos 65${}^{\circ }$
  D) cos 25${}^{\circ }$ cos 65${}^{\circ }$
  E) 5 cosec 25${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 452:

  

  In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

  Options:
  A) 32cm
  B) 26cm
  C) 20cm
  D) 16cm
  Show Answer
  The correct answer is B .
• Question 453: 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 454: The inverse function f(x) = 3x + 4 is Options:
  A) (x-4)/3
  B) (x-5)/5
  C) (x+3)/4
  D) (x+4)/3
  Show Answer
  The correct answer is A .
• Question 455:

  Find the values of x for which

  $\frac{x+2}{4}-\frac{2x-3}{3}<4$

  Options:
  A) x < 8
  B) x > -6
  C) x < 4
  D) x > -3
  Show Answer
  The correct answer is B .
• Question 456: Evaluate ${\int }_1^2(x^2-4x)dx$ Options:
  A) $\frac{11}{3}$
  B) $\frac{3}{11}$
  C) $-\frac{3}{11}$
  D) $-\frac{11}{3}$
  Show Answer
  The correct answer is D .
• Question 457: Simplify $\frac{(2m-u{)}^2-(m-2u{)}^2}{5m^2-5u^2}$ Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{2m-u}{5m+u}$
  D) $\frac{m-2u}{m+5u}$
  Show Answer
  The correct answer is A .
• Question 458:

  If $\frac{2\sqrt{3}-\sqrt{2}}{\sqrt{3}+2\sqrt{2}}$ = m + n √ 6, find the values of m and n respectively.

  Options:
  A) 1, − 2
  B) − 2, n = 1
  C) $\frac{-2}{5}$, 1
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 459:

  If x = {n² + 1 : n is positive integer and 1$\le$ n $\le$ 5}, y = {5n : n is positive integer and 1 $\le$ n $\le$ 5}, find x ∩ y.

  Options:
  A) {5, 10}
  B) {5, 10, 15}
  C) {2, 5 ,10}
  D) {5, 10, 15, 20}
  Show Answer
  The correct answer is A .
• Question 460: Solve for y in the equation 10¹ x 5^{(2x - 2)} x 4^{(y - 1)} = 1 Options:
  A) $\frac{3}{4}$
  B) $\frac{5}{4}$
  C) $\frac{2}{3}$
  D) 5
  Show Answer
  The correct answer is C .