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 561:

  The second term of a geometric series is ${}^{-2}{/}_3$ and its sum to infinity is ${}^3{/}_2$. Find its common ratio.

  Options:
  A) ${}^{-1}{/}_3$
  B) 2
  C) ${}^4{/}_3$
  D) ${}^2{/}_9$
  Show Answer
  The correct answer is A .
• Question 562: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 563:

  What is the rate of change of the volume Vof a hemisphere with respect to its radius r when r = 2?

  Options:
  A) 8π
  B) 16π
  C) 2π
  D) 4π
  Show Answer
  The correct answer is A .
• Question 564:

  Find the values of p and q such that (x - 1)and (x - 3) are factors of px³ + qx² + 11x - 6

  Options:
  A) -1, -6
  B) 1, -6
  C) 1, 6
  D) 6, -1
  Show Answer
  The correct answer is B .
• Question 565:

  A man invested a total of ₦50000 in two companies. If these companies pay dividends of 6% and 8% respectively, how much did he invest at 8% if the total yield is ₦3700?

  Options:
  A) ₦15000
  B) ₦29600
  C) ₦27800
  D) ₦21400
  E) ₦35000
  Show Answer
  The correct answer is E .
• Question 566:

  

  The result of rolling a fair die 150 times is ass summarized in the table above. What is the probability of obtaining a 5

  Options:
  A) ³/₁₀
  B) ¹/₅
  C) ¹/₆
  D) ¹/₁₀
  Show Answer
  The correct answer is B .
• Question 567: Simplify $\frac{3\frac{2}{3}\times \frac{5}{6}\times \frac{2}{3}}{\frac{11}{15}\times \frac{3}{4}\times \frac{2}{27}}$ Options:
  A) $5\frac{2}{3}$
  B) 30
  C) $4\frac{1}{3}$
  D) 50
  Show Answer
  The correct answer is D .
• Question 568: If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3 Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{3}$
  C) $\frac{8}{27}$
  D) $\frac{4}{9}$
  Show Answer
  The correct answer is C .
• Question 569: If r varies inversely as the square root of s and t, how does s vary with r and t? Options:
  A) s varies inversely as r and t²
  B) s varies inverely as r² and t
  C) s varies directly as r² and t²
  D) s varies directly as r and t
  Show Answer
  The correct answer is B .
• Question 570: Which of the formula below represents the general terms of the following set of numbers(-1, $\frac{2}{3}$, -$\frac{1}{2}$, $\frac{2}{5}$......) for n = 1, 2, 3, 4.......? Options:
  A) $\frac{2}{n+1}$
  B) (-1)^{n + 1} $\frac{2}{n+1}$
  C) (-1)ⁿ $\frac{2}{n+1}$
  D) $\frac{n}{2n-1}$
  E) (-1)ⁿ$\frac{n}{2n-1}$
  Show Answer
  The correct answer is C .