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 561: The locus of a point equidistant from the intersection of lines 3x - 7y + 7 = 0 and 4x - 6y + 1 = 0 is a Options:
  A) line parallel to 7x + 13y + 8 = 0
  B) circle
  C) semicircle
  D) bisector of the line 7x + 13y + 8 = 0
  Show Answer
  The correct answer is A .
• Question 562: 7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class? Options:
  A) 13years
  B) 12 years 7$\frac{1}{2}$ months
  C) 13 years 5 months
  D) 13 years 10 months
  E) 11 years
  Show Answer
  The correct answer is D .
• Question 563: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 564:

  Find the missing value in the following table:

  $\begin{array}{ccccccc}x& -2& -1& 0& 1& 2& 3\\ y=x^3-x+3& & 3& 3& 3& 9& 27\end{array}$

  Options:
  A) -3
  B) 3
  C) -9
  D) 13
  E) 9
  Show Answer
  The correct answer is A .
• Question 565:

  $\begin{array}{cccccccc}\text{No. of children}& 0& 1& 2& 3& 4& 5& 6\\ \text{No. of families}& 7& 11& 6& 7& 7& 5& 3\end{array}$

  Find the mode and median respectively of the distribution above

  Options:
  A) 2, 1
  B) 1, 2
  C) 1, 5
  D) 5, 2
  Show Answer
  The correct answer is B .
• Question 566: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 567: Rationalize $\frac{\sqrt{6}-\sqrt{4}}{\sqrt{6}+\sqrt{4}}$ Options:
  A) 5 + 2 $\sqrt{6}$
  B) 5 - 4 $\sqrt{6}$
  C) 5 + 4 $\sqrt{6}$
  D) 5 - 2 $\sqrt{6}$
  Show Answer
  The correct answer is D .
• Question 568: A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm², find the distance between the parallel sides Options:
  A) 3 cm
  B) 4 cm
  C) 6 cm
  D) 7 cm
  Show Answer
  The correct answer is A .
• Question 569: Simplify $7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}$ Options:
  A) 4
  B) 4¹/₆
  C) 4⁵/₆
  D) 5¹/₆
  Show Answer
  The correct answer is C .
• Question 570: On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr Options:
  A) 1$\frac{2}{3}$
  B) 2
  C) 5
  D) 6
  E) 10
  Show Answer
  The correct answer is C .