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 1941: A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one group contains 26 items, then the sector representing this group on the pie chart contains an angle x^o at the centre of the circle where x is Options:
  A) 36^o
  B) 60^o
  C) 70^o
  D) 72^o
  E) 75^o
  Show Answer
  The correct answer is D .
• Question 1942: Factorize completely y³ -4xy + xy³ - 4y Options:
  A) (y + ay)(y + 2)(y - 2)
  B) (y - xy)(y - 2)
  C) y(1 + x)(y + 2)(y -2)
  D) y(1 - x)(y + 2)(y - 2)
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  The correct answer is C .
• Question 1943: Find the value of x in the equation: 9x = 729 Options:
  A) 81
  B) 27
  C) 18
  D) 9
  E) 3
  Show Answer
  The correct answer is A .
• Question 1944: Simplify $\frac{(a^2-\frac{1}{a})+(a^{\frac{4}{3}}+a^{\frac{2}{3}})}{a^2{\frac{1}{a}}^2}$ Options:
  A) a^{$\frac{2}{3}$}
  B) a^{-$\frac{1}{3}$}
  C) a2 + 1
  D) a
  E) a^{$\frac{1}{3}$}
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  The correct answer is E .
• Question 1945: 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 1946: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
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  The correct answer is B .
• Question 1947: A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff. Options:
  A) 60 (tan 62^o - tan 64^o)
  B) 60 (cot 64^o - cot 62^o)
  C) 60 (cot 62^o - cot 64^o)
  D) 60 (tan 64^o - tan 62^o)
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  The correct answer is D .
• Question 1948:

  

  PQ is parallel to RS. Calculate the value of x.

  Options:
  A) 20${}^{\circ }$
  B) 40${}^{\circ }$
  C) 60${}^{\circ }$
  D) 80${}^{\circ }$
  E) 100${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1949:

  

  In the figure, PQ\SR, ST\, ST\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.

  Options:
  A) 56.77
  B) 56.105
  C) 28:105
  D) 28:49
  E) 56:49
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  The correct answer is B .
• Question 1950: If A = $\frac{1}{2}$h (a + b), make ‘a’ the subject of the formula Options:
  A) (2A – 2bh) ÷ b
  B) (2A – bh) ÷ h
  C) (2A – bh) ÷ b
  D) (A – 2bh) ÷ h
  E) (2A – h) ÷ bh
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  The correct answer is B .