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 1481: The derivatives of (2x + 1)(3x + 1) is Options:
  A) 12x + 1
  B) 6x + 5
  C) 6x + 1
  D) 12x + 5
  Show Answer
  The correct answer is D .
• Question 1482: The gradient of a line joining (x,4) and (1,2) is $\frac{1}{2}$. Find the value of x Options:
  A) 5
  B) 3
  C) -3
  D) -5
  Show Answer
  The correct answer is A .
• Question 1483: If $\theta$ = $\frac{3}{2}$ and $\theta$ is less than 90${}^{\circ }$, calculate tan $\frac{(90-\theta )}{co{s}^2\theta }$ Options:
  A) $\frac{1}{2}$
  B) $\frac{4}{\sqrt{3}}$
  C) $\sqrt{3}$
  D) 4$\sqrt{3}$
  Show Answer
  The correct answer is B .
• Question 1484: p varies directly as the square of q and inversely as r. If p = 36, when q = 36, when q = 3 and r = 4, find p when q = 5 and r = 2 Options:
  A) 72
  B) 100
  C) 90
  D) 200
  E) 125
  Show Answer
  The correct answer is D .
• Question 1485: In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes Options:
  A) 2.5
  B) 56.0
  C) 56.2
  D) 56.3
  E) 6.5
  Show Answer
  The correct answer is B .
• Question 1486: A binary operation $\mathrm{\Delta }$ is defined is defined by a $\mathrm{\Delta }$ b = a + b + 1 for any real numbers a and b. Find the inverse of the real number 7 under the operation $\mathrm{\Delta }$, if the identify element is -1 Options:
  A) -1
  B) 5
  C) -7
  D) -9
  E) 9
  Show Answer
  The correct answer is D .
• Question 1487: If {(a²b^-3c)^3/4/a^-1b⁴c⁵} = a^pb^qc^r; what is the value of p+2q? Options:
  A) (5/2)
  B) -(5/4)
  C) -(25/4)
  D) -10
  Show Answer
  The correct answer is D .
• Question 1488: Find the value of x if $[1÷{64}^{(x+2)}]=[4^{(x-3)}÷{16}^x]$ Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $-\frac{3}{2}$
  Show Answer
  The correct answer is D .
• Question 1489: The graphical method of solving the equation x³ + 3x² + 4x - 28 = 0 is by drawing the graphs of the curves Options:
  A) y = x³ and y = 3x² + x - 28
  B) y = x³ + 3x² + 4x + 4 and the line y = $\frac{28}{x}$
  C) y = x³ + 3x² + 4x and y
  D) y = x² + 3x + 4 and y = $\frac{28}{x}$
  E) y = x² + 3x + 4 and line y = 28x
  Show Answer
  The correct answer is D .
• Question 1490: The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is Options:
  A) ($\frac{3}{2}$, $\frac{3}{2}$)
  B) ($\frac{2}{3}$, $\frac{3}{2}$)
  C) ($\frac{3}{8}$, $\frac{3}{2}$)
  D) (-$\frac{3}{8}$, $\frac{3}{2}$)
  Show Answer
  The correct answer is D .