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 1001: P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST. Options:
  A) 310°
  B) 130°
  C) 80°
  D) 50°
  Show Answer
  The correct answer is B .
• Question 1002: If two graphs y = px² + q and y = 2x² -1 intersect at x = 2, find the value of p in terms q. Options:
  A) $\frac{q-8}{7}$
  B) $\frac{7-q}{4}$
  C) $\frac{8-q}{2}$
  D) $\frac{7+q}{8}$
  Show Answer
  The correct answer is B .
• Question 1003: Factorize (4a + 3)² - (3a - 2)² Options:
  A) (a + 1)(a + 5)
  B) (a - 5)(7a - 1)
  C) (a + 5)(7a + 1)
  D) a(7a + 1)
  Show Answer
  The correct answer is C .
• Question 1004: Solve the equations
  m² + n² = 29
  m + n = 7 Options:
  A) (2, 3) and ( 3, 5)
  B) (2, 5) and (5, 2)
  C) (5, 2) and ( 5, 3)
  D) (5, 3) and (3, 5)
  Show Answer
  The correct answer is B .
• Question 1005:

  The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

  Options:
  A) 180${}^o$
  B) 36${}^o$
  C) 60${}^o$
  D) 108${}^o$
  Show Answer
  The correct answer is B .
• Question 1006: What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2? Options:
  A) 0.5
  B) 1.0
  C) 1.5
  D) 2.0
  Show Answer
  The correct answer is A .
• Question 1007:

  If sin $\theta$ = $\frac{x}{y}$ and 0^o < 90^o, then find $\frac{1}{tan\theta }$.

  Options:
  A) $\frac{x}{\sqrt{y^2-x^2}}$
  B) $\frac{y}{x}$
  C) $\frac{\sqrt{y^2+x^2}}{y^2-x^2}$
  D) $\frac{y^2-x^2}{x}$
  Show Answer
  The correct answer is D .
• Question 1008: If ($\frac{2}{3}$)m ($\frac{3}{4}$)n = $\frac{252}{729}$, find the values of m and n Options:
  A) m = 4, n = 2
  B) m = -4, n = -2
  C) m = -4, n =2
  D) m = 4, n = -2
  E) m = -2, n = 4
  Show Answer
  The correct answer is D .
• Question 1009: Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3). Options:
  A) 4
  B) 6
  C) 3
  D) zero
  Show Answer
  The correct answer is D .
• Question 1010: If Q = $\left(\begin{array}{cc}9& -2\\ -7& 4\end{array}\right)$, then |Q| is Options:
  A) -50
  B) -22
  C) 22
  D) 50
  Show Answer
  The correct answer is C .