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 1411: Four interior angles of a pentagon are 90^o - x^o, 90^o + x^o, 110^o - 2x^o, 110^o + 2x^o. Find the fifth interior angle Options:
  A) 110^o
  B) 120^o
  C) 130^o
  D) 140^o
  Show Answer
  The correct answer is D .
• Question 1412: The variance of the scores 1, 2, 3, 4, 5 is Options:
  A) 1.25
  B) 1.40
  C) 2.05
  D) 3.00
  Show Answer
  The correct answer is C .
• Question 1413: If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between P and r? Options:
  A) p varies directly as r³
  B) p varies directly as r⁶
  C) p varies as 6$\sqrt{r}$
  D) p varies inversely as r⁶
  Show Answer
  The correct answer is D .
• Question 1414:

  This table below gives the scores of a group of students in a Further Mathematics Test.

  Score	1	2	3	4	5	6	7
  Frequency	4	6	8	4	10	6	2

  Find the mode of the distribution.

  Options:
  A) 7
  B) 10
  C) 5
  D) 4
  Show Answer
  The correct answer is C .
• Question 1415: Express $\frac{5x-12}{(x-2)(x-3)}$ in partial fractions Options:
  A) $\frac{2}{x-2}-\frac{3}{x-3}$
  B) $\frac{2}{x-2}+\frac{3}{x-3}$
  C) $\frac{2}{x-2}-\frac{3}{x-2}$
  D) $\frac{5}{x-3}-\frac{4}{x-2}$
  Show Answer
  The correct answer is B .
• Question 1416: A cylindrical tank has a capacity of 3080m³. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7. Options:
  A) 23m
  B) 25m
  C) 20m
  D) 22m
  Show Answer
  The correct answer is C .
• Question 1417:

  Find the total surface area of a cylinder of base radius 5cm and length 7cm (π = 3.14)

  Options:
  A) 219.9cm²
  B) 157.1cm²
  C) 377.0cm²
  D) 298.7cm²
  Show Answer
  The correct answer is C .
• Question 1418:

  

  The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?

  Options:
  A) 17.72 meter/sec.
  B) 21.67 meters/sec
  C) 2.5 meter/sec.
  D) 20.45 meters/sec.
  E) 13.33 meter/sec.
  Show Answer
  The correct answer is D .
• Question 1419:

  For what value of x is the tangent to the curve y = x${}^2$ - 4x + 3 parallel to the x-axis?

  Options:
  A) 3
  B) 2
  C) 1
  D) 0
  Show Answer
  The correct answer is B .
• Question 1420:

  

  In the figure above, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

  Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is B .