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 1171: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 1172:

  

  The graph above is represented by

  Options:
  A) y = x³ - 3x - 2
  B) y = x³ + 2x² - x - 2
  C) y = x³ - 4x² + 5x - 2
  D) y = x³ - 4x + 2
  Show Answer
  The correct answer is B .
• Question 1173: If P = $\frac{2}{3}$ ($\frac{1-r^2}{n^2}$), find n when r = $\frac{1}{3}$ and p = 1 Options:
  A) $\frac{3}{2}$
  B) $\frac{1}{3}$
  C) 3
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is D .
• Question 1174:

  

  Calculate the volume of the regular three-dimensional figure drawn above, where <ABC = 90° (a right-angled triangle).

  Options:
  A) 394 cm${}^3$
  B) 425 cm${}^3$
  C) 268 cm${}^3$
  D) 540 cm${}^3$
  Show Answer
  The correct answer is D .
• Question 1175: A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours? Options:
  A) 1
  B) $\frac{13}{26}$
  C) $\frac{5}{18}$
  D) $\frac{4}{9}$
  E) $\frac{2}{9}$
  Show Answer
  The correct answer is D .
• Question 1176: 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 1177: For what value of x does 6 sin (2x - 25)^o attain its maximum value in the range 0^o $\le$ x $\le$ 180^o Options:
  A) 12$\frac{1}{2}$
  B) 32$\frac{1}{2}$
  C) 57$\frac{1}{2}$
  D) 147$\frac{1}{2}$
  Show Answer
  The correct answer is C .
• Question 1178:

  

  In the figure, O is the centre of the circle ABC, < CED = 30${}^{\circ }$, < EDA = 40${}^{\circ }$. What is the size of < ABC?

  Options:
  A) 70${}^{\circ }$
  B) 110${}^{\circ }$
  C) 130${}^{\circ }$
  D) 125${}^{\circ }$
  E) 145${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 1179: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 1180:

  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 .