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 2791: Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X. Options:
  A) 4≤X≤5
  B) 5≤X≤8
  C) 5≤X≤10
  D) 8≤X≤10
  Show Answer
  The correct answer is C .
• Question 2792:

  Rationalise $\frac{2\sqrt{3}+\sqrt{5}}{\sqrt{5}-\sqrt{3}}$

  Options:
  A) (3 √ 15 +11) / 2
  B) 3 √ 15 -11
  C) (3 √ 15 -11) / 2
  D) 3 √ 15 +11
  Show Answer
  The correct answer is A .
• Question 2793:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 2794: the derivative of cosec x is Options:
  A) tan x cosec x
  B) -cot x cosec x
  C) tan x sec x
  D) -cot x sec x
  Show Answer
  The correct answer is B .
• Question 2795: If the scores of 3 students in a test are 5, 6 and 7, find the standard deviation of their scores Options:
  A) $\frac{2}{3}$
  B) $\frac{2}{3}\sqrt{3}$
  C) $\sqrt{\frac{2}{3}}$
  D) $\sqrt{\frac{3}{2}}$
  Show Answer
  The correct answer is C .
• Question 2796:

  Find the number of ways that the letters of the word EXCELLENCE be arranged

  Options:
  A) $\frac{10!}{2!2!2!}$
  B) $\frac{10!}{4!2!}$
  C) $\frac{10!}{4!2!2!}$
  D) $\frac{10!}{2!2!}$
  Show Answer
  The correct answer is C .
• Question 2797: Find the angle subtended at the centre of a circle by a chord which is equal in length to the radius of the circle Options:
  A) 30^o
  B) 45^o
  C) 60^o
  D) 90^o
  Show Answer
  The correct answer is C .
• Question 2798: The angle of elevation of the top of a vertical tower from a point A on the ground is 60${}^{\circ }$. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45${}^{\circ }$. Find the distance of A from the foot of the tower Options:
  A) 3 + $\sqrt{3}$
  B) 5 + $\sqrt{3}$
  C) 3 - $\sqrt{3}$
  D) 1
  E) $\sqrt{3}$ - 1
  Show Answer
  The correct answer is D .
• Question 2799:

  Given that r =$\sqrt{\frac{3v}{\pi h}}$, make v the subject of the formula

  Options:
  A) v = 3 $\pi r^2$ h
  B) v = $\frac{\pi rh}{3}$
  C) v =  $\frac{\pi r^{2}h}{3}$
  D) v = 3πrh
  Show Answer
  The correct answer is C .
• Question 2800:

  

  The shaded portion in the graph above is represented by

  Options:
  A) y + x - x³ ≥ 0, y - x ≤ 0
  B) y - x + x³ ≥ 0, y - x ≤ 0
  C) y + x - x³ ≤ 0, y + x ≥ 0
  D) y - x + x³ ≤ 0, y + x ≥ 0
  Show Answer
  The correct answer is A .