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 1011: Solve for x, If $\frac{\frac{2}{x}}{\frac{p^2+p^2}{p^2+p^2}}$ = m Options:
  A) $\frac{4pq}{m(p+q)}$
  B) $\frac{2p^2{q}^2}{m(q^2+p^2)}$
  C) $\frac{2pq}{m(q^2+p^2)}$
  D) $\frac{2p^2{q}^2}{m(p^2)}$
  Show Answer
  The correct answer is B .
• Question 1012:

  

  In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

  Options:
  A) 3$\pi$$\sqrt{2-1}$cm
  B) $\frac{9}{2}$$\pi$cm
  C) 3 $\pi$(1 + $\frac{2}{2}$)
  D) 3(1 + $\frac{2}{2}$)
  Show Answer
  The correct answer is C .
• Question 1013: Simplify T = $\frac{4R_2}{R_1^{-1}+R_2^{-1}+4R_3^{-1}}$ Options:
  A) $\frac{4R_1\times R_2{R}_3}{R_2{R}_3+R_1{R}_3+4R_1{R}_2}$
  B) $\frac{R_1{R}_2{R}_3}{R_2{R}_3+R_1{R}_2+4R_1{R}_2}$
  C) $\frac{16R_1{R}_2{R}_3}{R_2{R}_3+R_1{R}_2+R_1{R}_2}$
  D) $\frac{4R_1{R}_2{R}_3}{4R_2{R}_3+R_1{R}_2+4R_1{R}_2}$
  Show Answer
  The correct answer is A .
• Question 1014: If sin $\theta$ = $\frac{m-n}{m+n}$; Find the value of 1 + tan²$\theta$ Options:
  A) $\frac{(m^2+n^2)}{m+n}$
  B) $\frac{(m^2+n^2+2mm)}{4mn}$
  C) $\frac{2(m^2+n^2+mn)}{m+n}$
  D) $\frac{(m^2+n^2+mn)}{m+n}$
  Show Answer
  The correct answer is B .
• Question 1015: The chances of three independent events X, Y, Z occurring are $\frac{1}{2}$, $\frac{2}{3}$, $\frac{1}{4}$ respectively. What are the chances of Y and Z only occurring? Options:
  A) $\frac{1}{8}$
  B) $\frac{1}{24}$
  C) $\frac{1}{12}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 1016: if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax³ + bx² + cx - 1, find a, b, c in that order. Options:
  A) -1/2, 1., 1/2
  B) 1/2, 1, 1/2
  C) 1/2, 1, -1/2
  D) 1/2, -1, 1/2
  Show Answer
  The correct answer is A .
• Question 1017:

  A surveyor walks 500m up a hill which slopes at an angle of 30${}^o$. Calculate the vertical height through which he rises

  Options:
  A) 252m
  B) 500m
  C) 250m
  D) 255m
  Show Answer
  The correct answer is C .
• Question 1018: Find x if log₉x = 1.5 Options:
  A) 72.0
  B) 27.0
  C) 36.0
  D) 3.5
  E) 24.5
  Show Answer
  The correct answer is B .
• Question 1019: If angle $\theta$ is 135^o, evaluate cos$\theta$ Options:
  A) $\frac{1}{2}$
  B) $\frac{\sqrt{2}}{2}$
  C) $-\frac{\sqrt{2}}{2}$
  D) $-\frac{1}{2}$
  Show Answer
  The correct answer is B .
• Question 1020: The median of a distribution can be estimated from Options:
  A) Barchart
  B) Cumulative frequency curve
  C) Frequency polygon
  D) Pictorial
  E) Pie chart
  Show Answer
  The correct answer is B .