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 671: Two brothers invested a total of ₦5,000.00 on a farm project, the farm yield was sold for ₦15,000.00 at the end of the season. If the profit was shared in the ratio 2 : 3, what is the difference in the amount to profit received by the brothers? Options:
  A) ₦2,000.00
  B) ₦4,000.00
  C) ₦6,000.00
  D) ₦10,000.00
  Show Answer
  The correct answer is A .
• Question 672: If y = x(x4 + x + 1), evaluate ∫${}_0^1$ ydx Options:
  A) $\frac{11}{12}$
  B) $\frac{11}{16}$
  C) $\frac{5}{6}$
  D) zero
  Show Answer
  The correct answer is D .
• Question 673: What is the value of sin(-690)? Options:
  A) $\frac{\sqrt{3}}{2}$
  B) -$\frac{\sqrt{3}}{2}$
  C) $\frac{-1}{2}$
  D) $\frac{1}{2}$
  Show Answer
  The correct answer is D .
• Question 674: Which of the following binary operations is cumulative in the set of integers? Options:
  A) a $\ast$ b = a + 2b
  B) a $\ast$ b = a + b - ab
  C) a $\ast$ b = a² + b
  D) a $\ast$ b = $\frac{a(b+1)}{2}$
  Show Answer
  The correct answer is C .
• Question 675:

  Find the range of values of x for which $\frac{(x+2)}{4}-\frac{2x-3}{3}<4$

  Options:
  A) x > -6
  B) x > -3
  C) x < 8
  D) x < 4
  Show Answer
  The correct answer is A .
• Question 676: Find the range of the value of x satisfying the inequalities 5 + x $\le$ 8 and 13 + x $\ge$ 7 Options:
  A) -3 $\le$ x $\le$ 3
  B) 3 $\le$ x $\le$ 6
  C) -6 $\le$ x $\le$ 3
  D) -6 $\le$ x $\le$ -3
  Show Answer
  The correct answer is C .
• Question 677:

  

  In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH.

  Options:
  A) 16 cm
  B) 20 cm
  C) 26 cm
  D) 32 cm
  Show Answer
  The correct answer is D .
• Question 678:

  Below are the scores of group of students in a music test:

  $\begin{array}{cccccccccc}\text{Scores}& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ \text{No of students}& 3& 6& 10& 8& 6& 5& 2& 4& 12\end{array}$

  If CF(x) is the number of students with scores less than or equal to x, find CF(6)

  Options:
  A) 40
  B) 38
  C) 33
  D) 5
  Show Answer
  The correct answer is B .
• Question 679:

  Given that $p=1+\sqrt{2}$ and $q=1-\sqrt{2},$ evaluate $\frac{(p^2-q^2)}{2pq}$.

  Options:
  A) 2(2+√2)
  B) -2(2+√2)
  C) 2√2
  D) -2√2
  Show Answer
  The correct answer is D .
• Question 680: The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement? Options:
  A) 0.05cm
  B) 0.5cm
  C) 0.045cm
  D) 0.005cm
  E) 0.004cm
  Show Answer
  The correct answer is D .