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 61:

  Divide the expression x³ + 7x² - x - 7 by -1 + x²

  Options:
  A) -x³ + 7x² - x - 7
  B) -x³ = 7x + 7
  C) x - 7
  D) x + 7
  Show Answer
  The correct answer is D .
• Question 62:

  If the binary operation $\ast$ is defined by m $\ast$ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

  Options:
  A) e = 1
  B) e = -1
  C) e = -2
  D) e = 0
  Show Answer
  The correct answer is D .
• Question 63:

  The line $3y+6x$ = 48 passes through the points A(-2, k) and B(4, 8). Find the value of k.

  Options:
  A) 16
  B) 20
  C) 8
  D) -2
  Show Answer
  The correct answer is B .
• Question 64: The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m²; how wide is the lawn? Options:
  A) 5cm
  B) 7m
  C) 12m
  D) 14m
  Show Answer
  The correct answer is A .
• Question 65:

  

  In the diagram above, QR // TS, QR : TS = 2.3, Find the ratio of the area of triangle PQR to the area of the trapezium QRST.

  Options:
  A) 4:9
  B) 4:5
  C) 1:3
  D) 2:3
  Show Answer
  The correct answer is B .
• Question 66: The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are Options:
  A) (21cm³, 3cm³)
  B) (24cm³, 3cm³)
  C) (24cm³, 21cm³)
  D) (72cm³, 9cm³)
  E) (63cm³, 9cm³)
  Show Answer
  The correct answer is B .
• Question 67: If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2 Options:
  A) 8
  B) 24
  C) 27
  D) 81
  E) 648
  Show Answer
  The correct answer is D .
• Question 68: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 69: The positive root of t in the following equation, 4t² + 7t - 1$\pi$ = 0, correct to 4 places of decimal, is Options:
  A) 1.0622
  B) 10.6225
  C) 0.1328
  D) 0.3218
  E) 2.0132
  Show Answer
  The correct answer is C .
• Question 70:

  Evaluate $\frac{12.02\times 20.06}{26.04\times 60.06}$, correct to three significant figures.

  Options:
  A) 0.157
  B) 0.154
  C) 0.155
  D) 0.158
  Show Answer
  The correct answer is B .