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 1651: 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 .
• Question 1652:

  The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

  Options:
  A) 148m
  B) 382m
  C) 282m
  D) 248m
  Show Answer
  The correct answer is C .
• Question 1653: What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 1? Options:
  A) x
  B) x + 1
  C) x - 1
  D) No common factor
  E) (2x - 1)
  Show Answer
  The correct answer is D .
• Question 1654:

  The angle of a sector of a circle radius 10.5 cm is 48${}^o$. Calculate the perimeter of the sector.

  Options:
  A) 25.4cm
  B) 25.4cm
  C) 25.6cm
  D) 29.8cm
  Show Answer
  The correct answer is D .
• Question 1655: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 1656:

  A trader realises 10x - x${}^2$ Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

  Options:
  A) 7
  B) 6
  C) 5
  D) 4
  Show Answer
  The correct answer is C .
• Question 1657: If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3 Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{3}$
  C) $\frac{8}{27}$
  D) $\frac{4}{9}$
  Show Answer
  The correct answer is C .
• Question 1658:

  In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per household:

  $\begin{array}{cccccccccc}\text{No. of members per household}& 1& 2& 3& 4& 5& 6& 7& 8& \text{Total}\\ \text{No. of households}& 3& 12& 15& 28& 21& 10& 7& 4& 100\end{array}$

  What is the median?

  Options:
  A) 4
  B) 3
  C) 5
  D) 4.5
  E) None
  Show Answer
  The correct answer is A .
• Question 1659:

  

  In the figure above, PQR is a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, ∠SQR is 75${}^{\circ }$ and ∠QPT is 25${}^{\circ }$. Calculate the value of ∠RST.

  Options:
  A) 45${}^{\circ }$
  B) 55${}^{\circ }$
  C) 25${}^{\circ }$
  D) 50${}^{\circ }$
  Show Answer
  The correct answer is B .
• Question 1660: What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90^o? Options:
  A) the perpendicular bisector of XY
  B) a right-angled triangle
  C) a circle
  D) a semi circle
  Show Answer
  The correct answer is D .