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 1011: 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 1012: Find the derivative of $\frac{\sin \theta }{\cos \theta }$ Options:
  A) sec² $\theta$
  B) tan $\theta$ cosec $\theta$
  C) cosec $\theta$sec $\theta$
  D) cosec²$\theta$
  Show Answer
  The correct answer is A .
• Question 1013: 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 1014:

  

  The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36${}^{\circ }$. Find ∠PQR

  Options:
  A) 72${}^{\circ }$
  B) 36${}^{\circ }$
  C) 144${}^{\circ }$
  D) 54${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 1015:

  An equilateral triangle of side √3cm is inscribed in a circle. Find the radius of the circle.

  Options:
  A) 2/3 cm
  B) 2 cm
  C) 1 cm
  D) 3 cm
  Show Answer
  The correct answer is C .
• Question 1016: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 1017: Solve for the equation $\sqrt{x}$ - $\sqrt{(x-2)}$ - 1 = 0 Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{4}{9}$
  D) $\frac{9}{4}$
  Show Answer
  The correct answer is D .
• Question 1018:

  A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the probability of drawing a red ball and a white ball if the balls are drawn without replacement.

  Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{9}$
  C) $\frac{2}{3}$
  D) $\frac{8}{33}$
  Show Answer
  The correct answer is D .
• Question 1019: In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree. Options:
  A) 57°
  B) 45°
  C) 33°
  D) 16°
  E) 89°
  Show Answer
  The correct answer is E .
• Question 1020: Find the remainder when X³ - 2X² + 3X - 3 is divided by X² + 1 Options:
  A) 2X - 1
  B) X + 3
  C) 2X + 1
  D) X - 3
  Show Answer
  The correct answer is A .