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 391: 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 392: 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 393: If a = 1, b = 3, solve for x in the equation $\frac{a}{a-x}$ = $\frac{b}{x-b}$ Options:
  A) $\frac{4}{3}$
  B) $\frac{2}{3}$
  C) $\frac{3}{2}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .
• Question 394: Simplify 1¼ ÷ (2 ÷ ¼ of 28) Options:
  A) 1 $\frac{3}{8}$
  B) 2 $\frac{3}{4}$
  C) 4 $\frac{3}{8}$
  D) 3 $\frac{1}{5}$
  Show Answer
  The correct answer is C .
• Question 395: If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k. Options:
  A) 4
  B) 3
  C) 2
  D) 1
  Show Answer
  The correct answer is C .
• Question 396: The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is $\frac{1}{5}$, find the value of x Options:
  A) 24cm
  B) 20cm
  C) 28cm
  D) 7cm
  E) $\frac{88}{7}$
  Show Answer
  The correct answer is A .
• Question 397:

  In a triangle PQT, QR = $\sqrt{3cm}$, PR = 3cm, PQ = $2\sqrt{3}$cm and PQR = 30^o. Find angles P and R

  Options:
  A) P = 60^o and R = 90^o
  B) P = 30^o and R = 120^o
  C) P = 90^o and R = 60^o
  D) P = 60^o and R 60^o
  E) P = 45^o and R = 105^o
  Show Answer
  The correct answer is A .
• Question 398: Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR Options:
  A) x + 2y - 1= -0
  B) 2x + y - 3 = 0
  C) x - 2y - 3 = 0
  D) 2x + y - 1
  Show Answer
  The correct answer is D .
• Question 399:

  The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?

  $\begin{array}{cccccc}f& 1& 2& 3& 4& 5\\ x& 1& 2& 4& 8& 16\end{array}$

  Options:
  A) $\frac{31}{15}$
  B) $\frac{31}{5}$
  C) $\frac{129}{5}$
  D) $\frac{43}{5}$
  E) $\frac{16}{5}$
  Show Answer
  The correct answer is D .
• Question 400: Two distinct sectors in the same circle subtend 100${}^{\circ }$ and 30${}^{\circ }$ respectively at the centre of the circle. Their corresponding arcs are in the ratio
  Options:
  A) 1:100
  B) 3:1
  C) 5:2
  D) 10:3
  E) 13:30
  Show Answer
  The correct answer is D .