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 201: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 202: What must be added to 3x² - 5x to make it a perfect square? Options:
  A) $\frac{36}{25}$
  B) $\frac{25}{36}$
  C) -$\frac{25}{36}$
  D) -$\frac{5}{6}$
  E) -$\frac{6}{5}$
  Show Answer
  The correct answer is B .
• Question 203: If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals Options:
  A) NQ
  B) ¹/₄NQ
  C) 2NQ
  D) ¹/₂NQ
  Show Answer
  The correct answer is A .
• Question 204:

  A circle has a radius of 13 cm with a chord 12 cm away from the centre of the circle. Calculate the length of the chord.

  Options:
  A) 16 cm
  B) 8 cm
  C) 5 cm
  D) 10 cm
  Show Answer
  The correct answer is D .
• Question 205:

  Simplify $\sqrt[3]{(64r^6{)}^{\frac{1}{2}}}$

  Options:
  A) $\frac{r}{2}$
  B) 2r
  C) $\frac{1}{2r}$
  D) $\frac{2}{r}$
  E) 64r
  Show Answer
  The correct answer is E .
• Question 206: Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords? Options:
  A) 7cm
  B) 15cm
  C) 22cm
  D) 26cm
  E) 30cm
  Show Answer
  The correct answer is C .
• Question 207:

  The maximum value of the function

  F(x) = 2 + x - x² is

  Options:
  A) 9/4
  B) 7/4
  C) 3/2
  D) 1/2
  Show Answer
  The correct answer is A .
• Question 208: Find the standard deviation of the numbers 6, 9, 10, 8 and 7 Options:
  A) 1.4
  B) 2
  C) 2.4
  D) 5
  E) 8
  Show Answer
  The correct answer is A .
• Question 209: A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius $\frac{1}{2}$cm is immersed in the water, then the rise of water is Options:
  A) 1cm
  B) $\sqrt{\frac{3\pi }{24}}$
  C) $\frac{\pi }{24\sqrt{3}}$
  D) 24$\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 210: Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5 Options:
  A) x = 2$\frac{1}{2}$, y = 3$\frac{1}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = 2$\frac{1}{4}$, y = 3$\frac{1}{2}$
  D) x = 2$\frac{1}{3}$, y = 3$\frac{1}{2}$
  E) x = 2$\frac{1}{3}$, y = 2$\frac{1}{2}$
  Show Answer
  The correct answer is A .