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 1431: Simplify $\frac{(1.25\times {10}^{-4})\times (2.0\times {10}^{-1})}{(6.25\times {10}^5)}$ Options:
  A) 4.0 x 10^-3
  B) 5.0 x 10^-2
  C) 2.0 x 10^-1
  D) 5.0 x 10^-3
  Show Answer
  The correct answer is A .
• Question 1432: A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector. Options:
  A) 42cm²
  B) 3cm²
  C) 21cm²
  D) 24cm²
  E) 12cm²
  Show Answer
  The correct answer is C .
• Question 1433: If sinx^o = what is sin (90 - x)^o? Options:
  A) $\frac{\sqrt{b^2-a^2}}{b}$
  B) 1$\frac{-a}{b}$
  C) $\frac{b^2-a^2}{b}$
  D) $\frac{a^2-b^2}{b}$
  E) $\sqrt{b^2-a^3}$
  Show Answer
  The correct answer is A .
• Question 1434: If X $\ast$ Y = X + Y - XY, find x when (x $\ast$ 2) + (x $\ast$ 3) = 68 Options:
  A) 24
  B) 22
  C) -12
  D) -21
  Show Answer
  The correct answer is D .
• Question 1435: The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression Options:
  A) -44
  B) -165
  C) 165
  D) 44
  Show Answer
  The correct answer is A .
• Question 1436: 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 1437: A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60${}^{\circ }$, find the width of the river. Options:
  A) 100m
  B) 75√3 m
  C) 100√3m
  D) 200√3m
  Show Answer
  The correct answer is C .
• Question 1438: The angle between the positive horizontal axis and a given line is 135^o. Find the equation of the line if it passes through the point (2,3) Options:
  A) x - y = 1
  B) x + y = 1
  C) x + y = 5
  D) x - y = 5
  Show Answer
  The correct answer is C .
• Question 1439:

  

  In the diagram, find PQ if the area of triangle PQR is 35cm²

  Options:
  A) 7cm
  B) 10cm
  C) 14cm
  D) 17cm
  Show Answer
  The correct answer is A .
• Question 1440: A student spent $\frac{1}{5}$ of his allowances on books, $\frac{1}{3}$ of the remainder on food and kept the rest for contingences. What fraction was kept? Options:
  A) $\frac{7}{16}$
  B) $\frac{8}{15}$
  C) $\frac{2}{3}$
  D) $\frac{4}{5}$
  Show Answer
  The correct answer is B .