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 2211: If x + 2 and x - 1 are factors of the expression 1x³ + 2kx² + 24, find the values of 1 and K Options:
  A) 1 = -6, k = -9
  B) 1 = -2, k = 1
  C) k = -1, 1 = -2
  D) 1 = 0, k = 1
  E) k = 0,1 = 6
  Show Answer
  The correct answer is A .
• Question 2212:

  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 2213: An $(n-2{)}^2$ sided figure has n diagonals, find the number n of diagonals for a 25 sided figure Options:
  A) 8
  B) 7
  C) 6
  D) 9
  E) 10
  Show Answer
  The correct answer is B .
• Question 2214: In how many ways can the letters of the word ACCEPTANCE be arranged? Options:
  A) $\frac{10!}{2!2!3!}$
  B) $\frac{10!}{2!3!}$
  C) $\frac{10!}{2!2!}$
  D) $\frac{10!}{3!2!2!}$
  Show Answer
  The correct answer is D .
• Question 2215: Rationalize the denominator of the expression $\frac{6+2\sqrt{5}}{4-3\sqrt{6}}$ Options:
  A) $\frac{12+4\sqrt{5+7}5+6\sqrt{3}}{39}$
  B) $\frac{-24+18\sqrt{6+8}5+6\sqrt{30}}{39}$
  C) $\frac{24+3\sqrt{6+8}5+6\sqrt{30}}{19}$
  D) $\frac{-15+3\sqrt{5+18}5+6\sqrt{30}}{36}$
  Show Answer
  The correct answer is B .
• Question 2216: A chord of a circle subtends an angle of 60${}^{\circ }$ at the length of a circle of radius 14 cm. Find the length of the chord Options:
  A) 7 cm
  B) 14 cm
  C) 21 cm
  D) 28 cm
  Show Answer
  The correct answer is B .
• Question 2217: Evaluate ${\int }_0^{\frac{\pi }{4}}se{c}^2\theta d\theta$ Options:
  A) 1
  B) 2
  C) 3
  D) 4
  Show Answer
  The correct answer is A .
• Question 2218: What is the length of an arc of a circle that substends 2$\frac{1}{2}$ radians at the centre when the raduis of the circle = $\frac{k}{k+1}$ + $\frac{k+1}{k}$ then
  Options:
  A) p< 0
  B) p$\ge$ 0
  C) p $\le$ 0
  D) p < 1
  E) p > 0
  Show Answer
  The correct answer is E .
• Question 2219: A man's initial salary is ₦540.00 a month and increases after each period of six months by ₦36.oo a month. Find his salary in the eighth month of the third year Options:
  A) ₦828.00
  B) ₦756.00
  C) ₦720.00
  D) ₦684.00
  Show Answer
  The correct answer is C .
• Question 2220: If y = x(x4 + x + 1), evaluate ∫${}_0^1$ ydx Options:
  A) $\frac{11}{12}$
  B) $\frac{11}{16}$
  C) $\frac{5}{6}$
  D) zero
  Show Answer
  The correct answer is D .