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 2711: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 2712: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 2713: The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec Options:
  A) 96 cm
  B) 324 cm
  C) 36 cm
  D) 144 cm
  Show Answer
  The correct answer is B .
• Question 2714: Find the value of x for which the function y = x³ - x has a minimum value. Options:
  A) $-\sqrt{3}$
  B) $-\sqrt{\frac{3}{3}}$
  C) $\sqrt{\frac{3}{3}}$
  D) $\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 2715: Make 'n' the subject of the formula if w = $\frac{v(2+cn)}{1-cn}$ Options:
  A) $\frac{1}{c}(\frac{w-2v}{v+w})$
  B) $\frac{1}{c}(\frac{w-2v}{v-w})$
  C) $\frac{1}{c}(\frac{w+2v}{v-w})$
  D) $\frac{1}{c}(\frac{w+2v}{v+w})$
  Show Answer
  The correct answer is A .
• Question 2716: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 2717: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 2718: Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis. Options:
  A) 81 π cubic units
  B) 36 π cubic units
  C) 18 π cubic units
  D) 9 π cubic units
  Show Answer
  The correct answer is B .
• Question 2719:

  y varies partly as the square of x and partly as the inverse of the square root of x. Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4.

  Options:
  A) y = $\frac{10x^2}{31}+\frac{52}{31\sqrt{x}}$
  B) y = x² + $\frac{1}{\sqrt{x}}$
  C) y = x² + $\frac{1}{x}$
  D) y = $\frac{x^2}{31}+\frac{1}{31\sqrt{x}}$
  Show Answer
  The correct answer is A .
• Question 2720:
  

  The base in which the operation was performed was

  Options:
  A) 6
  B) 2
  C) 4
  D) 5
  Show Answer
  The correct answer is B .