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 1511: A binary operation $\ast$ is defined on a set of real numbers by x $\ast$ y = x^y for all real values of x and y. If x $\ast$ 2 = x. Find the possible values of x Options:
  A) 0, 1
  B) 1, 2
  C) 2, 2
  D) 0, 2
  Show Answer
  The correct answer is A .
• Question 1512: 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 1513: 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 1514:

  What is the place value of 9 in the number 3.0492?

  Options:
  A) $\frac{9}{10000}$
  B) $\frac{9}{1000}$
  C) $\frac{9}{100}$
  D) $\frac{9}{10}$
  Show Answer
  The correct answer is B .
• Question 1515: Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is B .
• Question 1516: If y = 3 cos 4x, $\frac{dy}{dx}$ equals Options:
  A) 6 sin 8x
  B) -24 sin 4x
  C) 12 sin 4x
  D) -12 sin 4x
  Show Answer
  The correct answer is D .
• Question 1517:

  

  From the Venn diagram above, the shaded parts represent

  Options:
  A) (P$\cap$Q)$\cup$(P$\cap$R)
  B) (P$\cup$Q)$\cap$(P$\cap$R)
  C) (P$\cup$Q)$\cup$(P$\cup$R)
  D) (P$\cap$Q)$\cup$(P$\cup$R)
  Show Answer
  The correct answer is A .
• Question 1518: The nth term of the sequence $\frac{3}{2}$, 3, 7, 16, 35, 74, ..., is Options:
  A) 3.2^{n - 2}
  B) 5.2^{n - 2} - n
  C) $\frac{3}{2}$n
  D) $\frac{3}{2}$ ^{n - 2}
  Show Answer
  The correct answer is B .
• Question 1519:

  Evaluate$({101}_{two}{)}^3$

  Options:
  A) ${111101}_{two}$
  B) ${11111101}_{two}$
  C) ${1111101}_{two}$
  D) ${11001}_{two}$
  Show Answer
  The correct answer is C .
• Question 1520: Find the sum of the first twenty terms of the progression log a, log a², log a³..... Options:
  A) log a²⁰
  B) log a²¹
  C) log a²⁰⁰
  D) log a²¹⁰
  Show Answer
  The correct answer is D .