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 1851: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 1852:

  

  In the figure, O is the centre of the circle ABC, < CED = 30${}^{\circ }$, < EDA = 40${}^{\circ }$. What is the size of < ABC?

  Options:
  A) 70${}^{\circ }$
  B) 110${}^{\circ }$
  C) 130${}^{\circ }$
  D) 125${}^{\circ }$
  E) 145${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 1853: A car dealer bought a second-hand car for ₦250,000 and spent ₦70,000 refurbishing it. He then sold the car for ₦400,000. What is the percentage gain? Options:
  A) 60%
  B) 32%
  C) 25%
  D) 20%
  Show Answer
  The correct answer is C .
• Question 1854:

  

  The pie chart above shows the expenditure of a family whose income is ₦30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

  Options:
  A) ₦28,000
  B) ₦25,500
  C) ₦15,000
  D) ₦12,500
  Show Answer
  The correct answer is D .
• Question 1855:

  Simplify 81${}^{\frac{-3}{4}}$ x 25${}^{\frac{1}{2}}$ x 243${}^{\frac{2}{5}}$

  Options:
  A) $\frac{2}{5}$
  B) $\frac{3}{5}$
  C) $\frac{5}{2}$
  D) $\frac{5}{3}$
  Show Answer
  The correct answer is D .
• Question 1856: Solve the simultaneous equations $\frac{2}{x}-\frac{2}{x}$ = 2, $\frac{4}{x}+\frac{3}{y}$ = 10 Options:
  A) x = $\frac{3}{2}$, y = $\frac{3}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = $\frac{-1}{2}$, y = $\frac{-3}{2}$
  D) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  Show Answer
  The correct answer is B .
• Question 1857: If Q = $\left(\begin{array}{cc}9& -2\\ -7& 4\end{array}\right)$, then |Q| is Options:
  A) -50
  B) -22
  C) 22
  D) 50
  Show Answer
  The correct answer is C .
• Question 1858:

  

  In the figure, YXZ = 30${}^{\circ }$, XYZ = 105${}^{\circ }$ and XY = 8cm. Calculate YZ

  Options:
  A) 16$\sqrt{2}$cm
  B) 8$\sqrt{2}$cm
  C) 4$\sqrt{2}$cm
  D) 22cm
  Show Answer
  The correct answer is C .
• Question 1859: The distance travelled by a particle from a fixed point is given as s = (t³ - t² - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point. Options:
  A) 2.3 cm
  B) 4.0cm
  C) 5.2
  D) g
  Show Answer
  The correct answer is B .
• Question 1860: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .