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 1501:

  

  In the figure above, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

  Options:
  A) 3
  B) 4
  C) 5
  D) 6
  Show Answer
  The correct answer is B .
• Question 1502: In $\mathrm{\Delta }$XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW? Options:
  A) 1.5cm
  B) 25cm
  C) 3cm
  D) 4cm
  E) None of the above
  Show Answer
  The correct answer is A .
• Question 1503:

  If sin $\theta$ = $\frac{x}{y}$ and 0^o < 90^o, then find $\frac{1}{tan\theta }$.

  Options:
  A) $\frac{x}{\sqrt{y^2-x^2}}$
  B) $\frac{y}{x}$
  C) $\frac{\sqrt{y^2+x^2}}{y^2-x^2}$
  D) $\frac{y^2-x^2}{x}$
  Show Answer
  The correct answer is D .
• Question 1504:

  A ship sets sail from port A (86${}^o$N, 56${}^o$W) for port B (86${}^o$N, 64${}^o$W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.

  [Take $\pi$= 3.142 and R = 6370 km]

  Options:
  A) 62 km
  B) 97 km
  C) 389 km
  D) 931 km
  Show Answer
  The correct answer is A .
• Question 1505:

  Evaluate $\frac{(\frac{3}{8}÷\frac{1}{2}+\frac{1}{2})}{(\frac{1}{8}\times \frac{2}{3}+\frac{1}{3})}$

  Options:
  A) ¹/₄
  B) ¹/₃
  C) ¹/₂
  D) 3
  Show Answer
  The correct answer is D .
• Question 1506: Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1 Options:
  A) 10
  B) 8
  C) -10
  D) -8
  Show Answer
  The correct answer is C .
• Question 1507: The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is Options:
  A) 11/3
  B) 10/3
  C) 5/2
  D) 3/2
  Show Answer
  The correct answer is D .
• Question 1508: The locus of a point which is equidistant from the line PQ forms a Options:
  A) circle centre P
  B) pair of parallel lines each opposite to PQ
  C) circle centre Q
  D) perpendicular line to PQ
  Show Answer
  The correct answer is D .
• Question 1509: How many sides has a regular polygon whose interior angle is 135^o Options:
  A) 12
  B) 10
  C) 9
  D) 8
  Show Answer
  The correct answer is D .
• Question 1510: Of the nine hundred students admitted in a university in 1979, the following was the distribution by state: Anambrs 185, Imo 135, Kaduna 90, Kwara 110, Ondo 155, Oyo 225. In a pie chart drawn to represent this distribution, The angle subtended at the centre by anambra is Options:
  A) 50^o
  B) 65^o
  C) 74^o
  D) 88^o
  Show Answer
  The correct answer is C .