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 841: One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue Options:
  A) $\frac{2}{15}$
  B) $\frac{3}{24}$
  C) $\frac{3}{21}$
  D) $\frac{3}{28}$
  Show Answer
  The correct answer is D .
• Question 842: 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 843:
  

  Find the volume of the composite solid above.

  Options:
  A) 2048 cm${}^3$
  B) 2568 cm${}^3$
  C) 2672 cm${}^3$
  D) 1320 cm${}^3$
  Show Answer
  The correct answer is B .
• Question 844: Make x the subject of the equation a(b + c) + $\frac{5}{d}$ - 2 = 0 Options:
  A) c = $\frac{2d-5-b}{ad}$
  B) c = $\frac{2d-5-abd}{ad}$
  C) c = $\frac{2d-5-ab}{ad}$
  D) c = $\frac{5-2d-b}{ad}$
  Show Answer
  The correct answer is B .
• Question 845: The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST. Options:
  A) πr/6
  B) πr/2
  C) πr/12
  D) πr/3
  Show Answer
  The correct answer is D .
• Question 846: Find m such that (m + $\sqrt{3}$)(1 - $\sqrt{3}$)² = 6 - 2$\sqrt{2}$ Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is C .
• Question 847: Solve 5^{2(x - 1)} x 5^{x + 1} = 0.04 Options:
  A) $\frac{1}{3}$
  B) $\frac{1}{4}$
  C) -$\frac{1}{5}$
  D) -$\frac{1}{3}$
  Show Answer
  The correct answer is D .
• Question 848:

  

  Find the area of the shaded portion of the semicircular figure.

  Options:
  A) $\frac{r^2}{4}(4\pi -3\sqrt{3})$
  B) $\frac{r^2}{4}(2\pi -3\sqrt{3})$
  C) $\frac{1}{2}{r}^2\pi$
  D) $\frac{1}{8}{r}^2\sqrt{3}$
  E) $\frac{r^2}{4}(4\pi -3\sqrt{3})$
  Show Answer
  The correct answer is B .
• Question 849:

  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 .
• Question 850: Which of the following fractions is less than one-third? Options:
  A) $\frac{22}{63}$
  B) $\frac{4}{11}$
  C) $\frac{15}{46}$
  D) $\frac{33}{98}$
  E) $\frac{122}{303}$
  Show Answer
  The correct answer is C .