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 1501: In $△$ XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = $\theta$. Find cos$\theta$^o Options:
  A) $\frac{4}{39}$
  B) $\frac{43}{39}$
  C) $\frac{209}{3}$
  D) $\frac{43}{78}$
  Show Answer
  The correct answer is D .
• Question 1502: If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6. Options:
  A) 30
  B) 21
  C) 16
  D) 12
  Show Answer
  The correct answer is B .
• Question 1503: Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables. Options:
  A) 1.03
  B) 2.31
  C) 3.69
  D) 10.5
  E) 25
  Show Answer
  The correct answer is B .
• Question 1504:

  A binary operation on the set of real numbers excluding -1 is such that sor all m, n $\epsilon$ R, m $\mathrm{\Delta }$ n = m + n + mn. Find the identity element of the operation.

  Options:
  A) 1
  B) -$\frac{1}{2}$
  C) -1
  D) 0
  Show Answer
  The correct answer is D .
• Question 1505: Find x if log₉x = 1.5 Options:
  A) 72.0
  B) 27.0
  C) 36.0
  D) 3.5
  E) 24.5
  Show Answer
  The correct answer is B .
• Question 1506:

  

  In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = $\theta$${}^{\circ }$and RQP = $\varphi$${}^{\circ }$, which of the following relationships between $\theta$${}^{\circ }$ and $\varphi$${}^{\circ }$ is correct

  Options:
  A) $\theta$${}^{\circ }$ + $\varphi$${}^{\circ }$ = 90²
  B) $\varphi$${}^{\circ }$ = 90² - 2$\theta$${}^{\circ }$
  C) $\theta$${}^{\circ }$ = $\varphi$${}^{\circ }$
  D) $\varphi$${}^{\circ }$ = 2$\theta$${}^{\circ }$
  E) $\theta$${}^{\circ }$ + 2$\varphi$${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 1507: Find the derivatives of the function y = 2x²(2x - 1) at the point x = -1 Options:
  A) 18
  B) 16
  C) -4
  D) -6
  Show Answer
  The correct answer is B .
• Question 1508:

  Bello buys an old bicycle for ₦9,200.00 and spends ₦1,500.00 on its repairs. If he sells the bicycle for ₦13,400.00, his gain percent is

  Options:
  A) 25.23%
  B) 31.34%
  C) 88.81%
  D) 42.54%
  Show Answer
  The correct answer is A .
• Question 1509: If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is Options:
  A) -⁴/₃
  B) -³/₄
  C) ⁴/₃
  D) ³/₄
  Show Answer
  The correct answer is D .
• Question 1510: Find a two-digit number such that three times the tens digit is 2 less than twice the units digit, and twice the number is 20 greater than the number obtained by reversing the digits. Options:
  A) 24
  B) 42
  C) 74
  D) 47
  E) 72
  Show Answer
  The correct answer is D .