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 61: Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$ Options:
  A) 17-√7
  B) 4-√7
  C) 15+√7
  D) 7-√7
  Show Answer
  The correct answer is B .
• Question 62: Simplify $(\sqrt{6}+2{)}^2-(\sqrt{6}-2{)}^2$ Options:
  A) $2\sqrt{6}$
  B) $4\sqrt{6}$
  C) $8\sqrt{6}$
  D) $16\sqrt{6}$
  Show Answer
  The correct answer is C .
• Question 63:

  A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, whatis the probability that it is Not a Coca-Cola bottle?

  Options:
  A) $\frac{5}{12}$
  B) $\frac{1}{3}$
  C) $\frac{3}{4}$
  D) $\frac{7}{12}$
  Show Answer
  The correct answer is D .
• Question 64: The sum of four consecutive integers is 34. Find the least of these numbers Options:
  A) 7
  B) 6
  C) 8
  D) 5
  Show Answer
  The correct answer is A .
• Question 65: 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 66:

  

  The shaded area in the diagram above is represented by

  Options:
  A) {(x, y) : y + 3x < 6}
  B) {(x , y) : y + 3x < -6}
  C) {(x, y) : y - 3x < 6}
  D) {(x, y) : y - 3x < 6}
  E) {x, y) : y - 3x < -6}
  Show Answer
  The correct answer is A .
• Question 67:

  Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

  $\begin{array}{ccc}\text{Class boundary in cm}& \text{frequency}& \\ 3.35-3.45& 3\\ 3.45-3.55& 6\\ 3.55-3.65& 7\\ 3.65-3.75& 4\end{array}$

  What is the mean diameter of the copper spheres?

  Options:
  A) 3.40cm
  B) 3.58cm
  C) 3.56cm
  D) 3.62cm
  Show Answer
  The correct answer is C .
• Question 68: Evaluate $\frac{1.25\times 0.025}{0.05}$, correct to 1 decimal place Options:
  A) 0.6
  B) 6.2
  C) 6.3
  D) 0.5
  Show Answer
  The correct answer is A .
• Question 69: Integrate $\frac{x^2-\sqrt{x}}{x}$ with respect to x Options:
  A) $\frac{x^2-\sqrt{x}}{x^2}$ + k
  B) $\frac{x^2}{2}$ - $\sqrt{x}$ + k
  C) $\frac{2(x^2-x)}{3x}$ + k
  D) $\frac{x^2}{2}$ - 2$\sqrt{x}$ + k
  Show Answer
  The correct answer is D .
• Question 70: In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather? Options:
  A) 35 years
  B) 40 years
  C) 42 years
  D) 54 years
  Show Answer
  The correct answer is D .