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 1021: The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers Options:
  A) p/2
  B) 3p/2
  C) 5p/2
  D) 3p
  Show Answer
  The correct answer is B .
• Question 1022: The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through Options:
  A) (2,5)
  B) (5,2)
  C) (1,0)
  D) (0,1)
  Show Answer
  The correct answer is B .
• Question 1023: Three children shared a basket of mangoes in such a way that the first child took $\frac{1}{4}$ of the mangoes and the second $\frac{3}{4}$ of the remainder. What fraction of the mangoes did the third child take? Options:
  A) $\frac{3}{16}$
  B) $\frac{7}{16}$
  C) $\frac{9}{16}$
  D) $\frac{13}{16}$
  Show Answer
  The correct answer is A .
• Question 1024:
  

  From the diagram above, find the required roots/region of x.

  Options:
  A) x$\le$-1, x $\ge$4
  B) x$\le$4
  C) -1$\le$x$\le$4
  D) x$\le$-1, o$\le$x$\le$4
  Show Answer
  The correct answer is C .
• Question 1025: Let p be a probability function on set S, where S = (a₁, a₂, a₃, a₄). Find P(a₁) if P(a₂) = $\frac{1}{3}$, p(a₃) = $\frac{1}{6}$ and p(a₄) = $\frac{1}{5}$ Options:
  A) $\frac{7}{3}$
  B) $\frac{2}{3}$
  C) $\frac{1}{3}$
  D) $\frac{3}{10}$
  Show Answer
  The correct answer is D .
• Question 1026: A triangle has angles 30${}^{\circ }$, 15${}^{\circ }$ and 135${}^{\circ }$. The side opposite to the angle 30${}^{\circ }$ is length 6cm. The side opposite to the angle 135${}^{\circ }$ is equal to Options:
  A) 12cm
  B) 6cm
  C) 6$\sqrt{2}$cm
  D) 12$\sqrt{2}$cm
  Show Answer
  The correct answer is C .
• Question 1027:

  Evaluate: ${\int }_0^z(sinx-cosx)dx$
  Where $z=\frac{\pi }{4}.(\pi =pi)$

  Options:
  A) $\sqrt{2+1}$
  B) $\sqrt{2}-1$
  C) $-\sqrt{2}-1$
  D) $1-\sqrt{2}$
  Show Answer
  The correct answer is B .
• Question 1028:

  A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

  Options:
  A) 2/3
  B) 1/2
  C) -1/2
  D) -2/3
  Show Answer
  The correct answer is D .
• Question 1029:

  

  The bar chart shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. If the pass mark was 5, what percentage of the pupils failed the test?

  Options:
  A) 59.4%
  B) 50.0%
  C) 41.7%
  D) 25.0%
  Show Answer
  The correct answer is C .
• Question 1030: If p varies inverse as the square of q and p = 8 when q =4, find q when p = 32 Options:
  A) $\pm$16
  B) $\pm$8
  C) $\pm$4
  D) $\pm$2
  Show Answer
  The correct answer is D .