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 1811: Two fair dice are rolled. What is the probability that both show up the same number of points. Options:
  A) $\frac{1}{36}$
  B) $\frac{7}{36}$
  C) $\frac{1}{2}$
  D) $\frac{1}{6}$
  E) $\frac{1}{6}$
  Show Answer
  The correct answer is E .
• Question 1812: In base ten, the number 101101 (base 2) equals Options:
  A) 15
  B) 4
  C) 45
  D) 32
  E) 90
  Show Answer
  The correct answer is C .
• Question 1813: Factorize completely $\frac{x^3+3x^2-10x}{2x^2-8}$ Options:
  A) $\frac{x(x-5)}{2(x+2)}$
  B) $\frac{x(x+5)}{2(x+2)}$
  C) $\frac{x(x-5)}{2(x-2)}$
  D) $\frac{x^2+5}{2x+4}$
  Show Answer
  The correct answer is B .
• Question 1814: Find r, if 6r7₈ = 511₉ Options:
  A) 3
  B) 2
  C) 6
  D) 5
  Show Answer
  The correct answer is A .
• Question 1815: A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was? Options:
  A) three times as much
  B) the same
  C) twice as much
  D) half as much
  Show Answer
  The correct answer is C .
• Question 1816: If cos $\theta$ = $\frac{\sqrt{3}}{2}$ and $\theta$ is less than 90^o. Calculate cos$\frac{90-\theta }{si{n}^2\theta }$ Options:
  A) $\frac{4}{\sqrt{3}}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\sqrt{\frac{76}{2}}$
  D) 4$\sqrt{\frac{76}{2}}$
  Show Answer
  The correct answer is A .
• Question 1817: Evaluate $\frac{(05652-04375{)}^2}{0.04}$ correct to three significant figures Options:
  A) 3.11
  B) 3.13
  C) 0.313
  D) 3.12
  Show Answer
  The correct answer is B .
• Question 1818: If two angles of a triangle are 30^o each and the longest side is 10cm. Calculate the length of each of the other sides Options:
  A) 5cm
  B) 4cm
  C) 3√3 cm
  D) 10$\frac{3}{3}$cm
  Show Answer
  The correct answer is D .
• Question 1819:

  $\begin{array}{ccccccccc}\text{Score}& 3& 4& 5& 6& 7& 8& 9& 10\\ \text{Frequency}& 1& 0& 7& 5& 2& 3& 1& 1\end{array}$

  The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?

  Options:
  A) 7
  B) 6
  C) 3
  D) 10
  Show Answer
  The correct answer is A .
• Question 1820: A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)? Options:
  A) y = (3x²/)2 + 2x
  B) y = (3x²)/2 + x
  C) y = 3x² + (x/2)
  D) y = 3x² +2x
  Show Answer
  The correct answer is A .