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 411: a binary operation $\oplus$ o the set of rational numbers is defined as x $\oplus$ y = $\frac{x^2-y^2}{2xy}$. Find -5 $\oplus$ 3 Options:
  A) $\frac{8}{15}$
  B) -$\frac{17}{15}$
  C) $\frac{17}{15}$
  D) $\frac{8}{-15}$
  Show Answer
  The correct answer is D .
• Question 412: Find the square root of 170 - 20$\sqrt{30}$ Options:
  A) 2 $\sqrt{10}$ - 5$\sqrt{3}$
  B) 2 $\sqrt{5}$ - 5$\sqrt{6}$
  C) 5 $\sqrt{10}$ - 2$\sqrt{3}$
  D) 3 $\sqrt{5}$ - 8$\sqrt{6}$
  Show Answer
  The correct answer is B .
• Question 413: Evaluate 3(x + 2) > 6(x + 3)
  Options:
  A) x < 4
  B) x > -4
  C) x < -4
  D) x > 4
  Show Answer
  The correct answer is C .
• Question 414: if x is the addition of the prime numbers between 1 and 6; and y the H.C.F. of 6, 9, 15. Find the product of x and y Options:
  A) 27
  B) 30
  C) 33
  D) 90
  Show Answer
  The correct answer is B .
• Question 415: Multiply (x + 3y + 5) by (2x² + 5y + 2) Options:
  A) 2x² + 3yx² + 10xy + 15y² + 13y + 10x² + 2x + 10
  B) 2x³ + 6yx² + 5xy + 5y² + 31y + 5x² + 2x + 10
  C) 2x³ + 6xy² + 5xy + 15y² + 12y + 10x² + 2x = 10
  D) 2x² + 6xy² + 5xy + 15y² + 13y + 10x² + 2x + 10
  E) 2x³ + 2yx² + 10xy + 10y² + 31y + 5x² + 10
  Show Answer
  The correct answer is B .
• Question 416: Make R the subject of the fomula S = $\sqrt{\frac{2R+T}{2RT}}$ Options:
  A) R = $\frac{T}{(T{S}^2+1)}$
  B) R = $\frac{T}{2(T{S}^2-2)}$
  C) R = $\frac{T}{2(T{S}^2+1)}$
  D) R = $\frac{R}{2(T{S}^2+1)}$
  Show Answer
  The correct answer is B .
• Question 417: Without using table, solve the equation 8x^-2 = $\frac{2}{25}$ Options:
  A) 4
  B) 6
  C) 8
  D) 10
  Show Answer
  The correct answer is D .
• Question 418: If the volume of a hemisphere is increasing at a steady rate of 18π m/s, at what rate is its radius changing when its is 6m? Options:
  A) 2.30m/s
  B) 2.00 m/s
  C) 0.25 m/s
  D) 0.20 m/s
  Show Answer
  The correct answer is C .
• Question 419: The scores of 16 students in a mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65,
  70. What is the sum of the median and modal scores? Options:
  A) 125
  B) 130
  C) 140
  D) 150
  Show Answer
  The correct answer is B .
• Question 420: The solution of the quadratic inequality (x² + x - 12) $\ge$ 0 is Options:
  A) x $\ge$ 3 or x $\ge$ -4
  B) x $\le$ 3 or x $\le$ -4
  C) x $\ge$ 3 or x $\le$ -4
  D) x $\ge$ -3 or x $\le$ 4
  Show Answer
  The correct answer is C .