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 1251: If log₃x² = -8, what is x? Options:
  A) $\frac{1}{3}$
  B) $\frac{1}{9}$
  C) $\frac{1}{27}$
  D) $\frac{1}{81}$
  Show Answer
  The correct answer is D .
• Question 1252:

  

  Find the length of the chord |AB| in the diagram shown above.

  Options:
  A) 4.2 cm
  B) 4.3 cm
  C) 3.2 cm
  D) 3.4 cm
  Show Answer
  The correct answer is D .
• Question 1253: a senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered? Options:
  A) 840
  B) 720
  C) 640
  D) 520
  Show Answer
  The correct answer is A .
• Question 1254: Make c the subject of formula v = 1 - $\frac{a}{5}$(b + $\frac{3c}{7}$) Options:
  A) [$\frac{7}{3}$ + $\frac{5}{a}$(v - 1)] + b
  B) [$\frac{7b}{3}$ + $\frac{5}{a}$(v - 1)]
  C) $\frac{7}{3}$[b + $\frac{5}{a}$(v - 1)]
  D) $\frac{7}{3}$[b + $\frac{5v-1}{a}$]
  Show Answer
  The correct answer is A .
• Question 1255: Find the value of sin 45^o - cos 30^o Options:
  A) $\frac{2+\sqrt{6}}{4}$
  B) $\frac{\sqrt{2}+\sqrt{3}}{4}$
  C) $\frac{\sqrt{2}+\sqrt{3}}{6}$
  D) $\frac{\sqrt{2}-\sqrt{3}}{2}$
  Show Answer
  The correct answer is D .
• Question 1256:

  

  In the circle above, with centre O and radius 7 cm. Find the length of the arc AB, when < AOB = 57°.

  Options:
  A) 5.32 cm
  B) 4.39 cm
  C) 7.33 cm
  D) 6.97 cm
  Show Answer
  The correct answer is D .
• Question 1257: Evaluate $\int$ sec²$\theta$ d $\theta$ Options:
  A) sec$\theta$ tan$\theta$ + k
  B) tan$\theta$ + k
  C) 2 sec$\theta$ + k
  D) sec$\theta$ + k
  Show Answer
  The correct answer is B .
• Question 1258:

  

  In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?

  Options:
  A) QS = PS$\sqrt{SR}$
  B) QS = $\sqrt{(PSSR)}$
  C) QS = 2$\sqrt{(PSSR)}$
  D) QS = $\frac{1}{\sqrt{2}}$$\sqrt{(PSSR)}$
  Show Answer
  The correct answer is B .
• Question 1259:

  Evaluate $\frac{2{\log }_{3}9\times {\log }_3{81}^{-2}}{{\log }_{5}625}$

  Options:
  A) 4
  B) -32
  C) -8
  D) 16
  Show Answer
  The correct answer is C .
• Question 1260: The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b Options:
  A) 2
  B) 4
  C) $\sqrt{10}$
  D) 35
  E) 2.2
  Show Answer
  The correct answer is C .