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 1461:

  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 1462:

  If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

  Options:
  A) m = 0, n = 4
  B) m = 4, n = 0
  C) m = 2, n = 2
  D) m = -2, n = 4
  Show Answer
  The correct answer is A .
• Question 1463: The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to Options:
  A) zero
  B) half of the common difference
  C) double the common difference
  D) the common difference
  Show Answer
  The correct answer is D .
• Question 1464:

  The result of rolling a fair die 150 times is as summarized in the table given.

  $\begin{array}{ccccccc}\text{Number}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 12& 18& x& 30& 2x& 45\end{array}$

  What is the probability of obtaining a 5?

  Options:
  A) $\frac{3}{10}$
  B) $\frac{1}{5}$
  C) $\frac{1}{6}$
  D) $\frac{1}{10}$
  Show Answer
  The correct answer is B .
• Question 1465: Express 123456 to 3 significant figures Options:
  A) 123 000
  B) 124 000
  C) 125 000
  D) 126 000
  Show Answer
  The correct answer is A .
• Question 1466: If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals Options:
  A) NQ
  B) ¹/₄NQ
  C) 2NQ
  D) ¹/₂NQ
  Show Answer
  The correct answer is A .
• Question 1467: In the diagram above, PQ//Rs. The size of the angle marked x is Options:
  A) 100${}^{\circ }$
  B) 80${}^{\circ }$
  C) 50${}^{\circ }$
  D) 30${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1468:

  

  In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = $\theta$${}^{\circ }$and RQP = $\varphi$${}^{\circ }$, which of the following relationships between $\theta$${}^{\circ }$ and $\varphi$${}^{\circ }$ is correct

  Options:
  A) $\theta$${}^{\circ }$ + $\varphi$${}^{\circ }$ = 90²
  B) $\varphi$${}^{\circ }$ = 90² - 2$\theta$${}^{\circ }$
  C) $\theta$${}^{\circ }$ = $\varphi$${}^{\circ }$
  D) $\varphi$${}^{\circ }$ = 2$\theta$${}^{\circ }$
  E) $\theta$${}^{\circ }$ + 2$\varphi$${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 1469: The locus of a point P which is equidistant from two given points S and T is Options:
  A) the perpendicular bisector of ST
  B) the angle bisector of PS and ST
  C) a perpendicular to ST
  D) a line parallel to ST
  Show Answer
  The correct answer is A .
• Question 1470: 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 .