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 61:

  A room is12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

  Options:
  A) $\frac{15}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 62: Write h in terms of a, b, c, d if a = $\frac{b(1-ch)}{a-dh}$ Options:
  A) h = $\frac{a-b}{ad}$
  B) h = $\frac{1-b}{ad-bc}$
  C) h = $\frac{(a-b{)}^2}{ad-bc}$
  D) h = $\frac{a-b}{ad-bc}$
  E) h = $\frac{b-a}{ab-dc}$
  Show Answer
  The correct answer is D .
• Question 63: If Musa scored 75 in biology instead of 57, his average mark in four subjects would have been 60. What was his total mark? Options:
  A) 282
  B) 240
  C) 222
  D) 210
  Show Answer
  The correct answer is C .
• Question 64: If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is Options:
  A) -$\frac{4}{3}$
  B) -$\frac{3}{4}$
  C) $\frac{3}{4}$
  D) $\frac{4}{3}$
  Show Answer
  The correct answer is C .
• Question 65: The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{4}$
  C) 4
  D) 25
  Show Answer
  The correct answer is A .
• Question 66: If $x–1$ and $x+1$ are both factors of the equation $x^3+p{x}^2+qx+6=0$, evaluate $p$ and $q$ Options:
  A) 6, -1
  B) 6, 1
  C) 1, -1
  D) 6, -6
  E) -6, -1
  Show Answer
  The correct answer is E .
• Question 67:

  Evaluate $\frac{5}{8}-\frac{3}{4}÷\frac{5}{12}\times \frac{1}{4}$

  Options:
  A) - $\frac{3}{40}$
  B) $\frac{3}{40}$
  C) $\frac{7}{40}$
  D) -$\frac{263}{40}$
  Show Answer
  The correct answer is C .
• Question 68:

  Find the area and perimeter of a square whose length of diagonals is 20$\sqrt{2}$ cm.

  Options:
  A) 800 cm${}^2$, 80 cm
  B) 400 cm, 80 cm${}^2$
  C) 80 cm, 800 cm${}^2$
  D) 400 cm${}^2$, 80 cm
  Show Answer
  The correct answer is D .
• Question 69: Evaluate correct to 4 decimal places 827.51 x 0.015 Options:
  A) 8.8415
  B) 12.4127
  C) 124.1265
  D) 12.4120
  E) 114.1265
  Show Answer
  The correct answer is B .
• Question 70:

  The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?

  $\begin{array}{cc}Score(n)& Frequency(f)\\ 3& 30\\ 4& 32\\ 5& 30\\ 6& 35\\ 8& 20\end{array}$

  Options:
  A) 30
  B) 32
  C) 55
  D) 62
  E) 92
  Show Answer
  The correct answer is E .