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: The solution of the quadratic equation px² + qx + b = 0 is Options:
  A) $\sqrt{\frac{-b\pm b^2-4ac}{2a}}$
  B) $\frac{-b\pm \sqrt{p^2-4pb}}{2a}$
  C) $\frac{-q\pm \sqrt{q^2-4bp}}{2p}$
  D) $\frac{-q\pm \sqrt{p^2-4bp}}{2p}$
  Show Answer
  The correct answer is C .
• Question 482: 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 483: 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 484:

  Marks	1	2	3	4	5
  Frequency	2	2	8	4	4

  The table above show the marks obtained in a given test.

  Find the mean mark

  Options:
  A) 3.1
  B) 3.0
  C) 3.2
  D) 3.3
  Show Answer
  The correct answer is D .
• Question 485:

  The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?

  Options:
  A) ( $\frac{1}{2}$, $\frac{15}{2}$ )
  B) ( $\frac{1}{2}$, $\frac{-15}{2}$ )
  C) ( $\frac{-1}{2}$, $\frac{-15}{2}$ )
  D) ( $\frac{-1}{2}$, $\frac{15}{2}$ )
  Show Answer
  The correct answer is D .
• Question 486: 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 487: Two angles of a triangle are 450 each and its longest side is 12cm. Find the length of one of the other sides Options:
  A) 12cm
  B) 9$\sqrt{2}$cm
  C) 6$\sqrt{2}$cm
  D) 6cm
  E) 3$\sqrt{2}$cm
  Show Answer
  The correct answer is C .
• Question 488: Simplify $\frac{324-4x^2}{2x+18}$ Options:
  A) 2(x - 9)
  B) 2(9 + x)
  C) 81 - x²
  D) -2(x - 9)
  Show Answer
  The correct answer is D .
• Question 489: Calculate the length of an arc of a circle of diameter 14cm, which subtends an angle of 90^o at the centre of the circle Options:
  A) 14$\pi$ cm
  B) 7$\pi$ cm
  C) 5$\pi$ cm
  D) 4$\pi$ cm
  Show Answer
  The correct answer is D .
• Question 490:

  

  TQ is tangent to circle XYTR, < YXT = 32${}^{\circ }$, RTQ = 40${}^{\circ }$. Find < YTR

  Options:
  A) 108${}^{\circ }$
  B) 121${}^{\circ }$
  C) 140${}^{\circ }$
  D) 148${}^{\circ }$
  Show Answer
  The correct answer is A .