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 981: If tan $\theta$ = $\frac{m^2-n^2}{2mn}$ find sec$\theta$ Options:
  A) $\frac{m^2+n^2}{(m^2-n^2)}$
  B) $\frac{m^2+n^2}{2mn}$
  C) $\frac{mn}{2(m^2+n^2)}$
  D) $\frac{m^2{n}^2}{2(m^2-n^2)}$
  Show Answer
  The correct answer is B .
• Question 982: P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST. Options:
  A) 310°
  B) 130°
  C) 80°
  D) 50°
  Show Answer
  The correct answer is B .
• Question 983: Simplify $(\sqrt{6}+2{)}^2-(\sqrt{6}-2{)}^2$ Options:
  A) $2\sqrt{6}$
  B) $4\sqrt{6}$
  C) $8\sqrt{6}$
  D) $16\sqrt{6}$
  Show Answer
  The correct answer is C .
• Question 984: What will be the value of k so that the quadratic equation kx² - 4x + 1 = 0 has two equal roots? Options:
  A) 2
  B) 3
  C) 4
  D) 8
  E) $\frac{1}{4}$
  Show Answer
  The correct answer is C .
• Question 985:

  

  The diagram is the distance time graph of a vehicle. Find its average speed in kilometers per hour during the journey

  Options:
  A) 155km/hr
  B) 50km/hr
  C) 40km/hr
  D) 124km/hr
  E) 84km/hr
  Show Answer
  The correct answer is E .
• Question 986: Given that 1/2 log₁₀ P = 1, find the value Of P Options:
  A) 10⁴
  B) 10³
  C) 10²
  D) 10¹
  E) 10^-1
  Show Answer
  The correct answer is C .
• Question 987: Four members of a school first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams? Options:
  A) 25
  B) 21
  C) 16
  D) 3
  Show Answer
  The correct answer is B .
• Question 988: Simplify without using tables $\frac{lo{g}_{2}6}{lo{g}_{2}8}$ - $\frac{lo{g}_{2}3}{lo{g}_2\frac{1}{2}}$ Options:
  A) $\frac{1}{5}$
  B) $\frac{1}{2}$
  C) $\frac{-1}{2}$
  D) $\frac{lo{g}_{2}3}{lo{g}_{2}7}$
  Show Answer
  The correct answer is A .
• Question 989: If p and q are two non zero numbers and 18(p+q) = 918+p)q, which of the following must be true?
  Options:
  A) q = 18
  B) p <1
  C) p = 18
  D) q < 1
  Show Answer
  The correct answer is A .
• Question 990: Find ${\int }_0^1$ cos4 x dx Options:
  A) $\frac{3}{4}$ sin 4x + k
  B) -$\frac{1}{4}$ sin 4x + k
  C) -$\frac{3}{4}$ sin 4x + k
  D) $\frac{1}{4}$ sin 4x + k
  Show Answer
  The correct answer is D .