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 1831: $\left(\begin{array}{cc}-2& 1\\ 2& 3\end{array}\right)$ + $\left(\begin{array}{cc}p& q\\ r& s\end{array}\right)$ = $\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$. What is the value of r? Options:
  A) -$\frac{1}{8}$
  B) $\frac{3}{8}$
  C) $\frac{5}{8}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is D .
• Question 1832:

  

  In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140^o, find, correct to the nearest cm, the length of the chord MN.

  Options:
  A) 19cm
  B) 18cm
  C) 17cm
  D) 12cm
  Show Answer
  The correct answer is A .
• Question 1833: Simplify $\frac{2\sqrt{3}+3\sqrt{5}}{3\sqrt{5}-2\sqrt{3}}$ Options:
  A) $\frac{19+4\sqrt{25}}{11}$
  B) $\frac{19+4\sqrt{15}}{11}$
  C) $\frac{19+2\sqrt{15}}{11}$
  D) $\frac{19+2\sqrt{15}}{19}$
  Show Answer
  The correct answer is B .
• Question 1834:

  If √(2x + 2) − √x = 1, find x.

  Options:
  A) x = 1 twice
  B) x = 0 or 1
  C) x = 3 or 1
  D) x = 2 twice
  Show Answer
  The correct answer is A .
• Question 1835: If , sT = $\sqrt{\frac{[(a+T)T]}{a}}$ what does T equal? Options:
  A) T = (a²s² – 1)
  B) T = (a²s²– 1) ÷ a
  C) T = a ÷ (a² - s²)
  D) T = a ÷ (a²s² – 1)
  E) T = (as – 1)²
  Show Answer
  The correct answer is D .
• Question 1836: Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5 Options:
  A) 16
  B) 14
  C) 12
  D) 10
  Show Answer
  The correct answer is A .
• Question 1837:

  If $\frac{2\sqrt{3}-\sqrt{2}}{\sqrt{3}+2\sqrt{2}}$ = m + n √ 6, find the values of m and n respectively.

  Options:
  A) 1, − 2
  B) − 2, n = 1
  C) $\frac{-2}{5}$, 1
  D) $\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 1838: 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 1839: The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R? Options:
  A) 60m
  B) 60$\sqrt{3}$m
  C) 80$\sqrt{3}$m
  D) 120$\sqrt{3}$m
  E) 240m
  Show Answer
  The correct answer is C .
• Question 1840: A group of 14 children children received the following scores in a reading test: 35, 35, 26, 26, 26, 29, 29, 29, 12, 25, 25, 25, 25, 17. What was the median score. Options:
  A) 29
  B) 26
  C) 24
  D) 25
  E) 23
  Show Answer
  The correct answer is B .