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 661:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 662: Simplify √30 × √40 Options:
  A) 10 √3
  B) 5 √3
  C) 20 √3
  D) 15 √3
  Show Answer
  The correct answer is C .
• Question 663: Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places? Options:
  A) 9.60m
  B) 6.06m
  C) 2.54m
  D) 2.53m
  E) 2.00m
  Show Answer
  The correct answer is D .
• Question 664: If y = x cos x, find dy/dx Options:
  A) sin x - x cos x
  B) sin x + x cos x
  C) cos x + x sin x
  D) cos x - x sin x
  Show Answer
  The correct answer is D .
• Question 665:

  Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?

  Options:
  A) $\frac{2}{3}$
  B) $\frac{1}{2}$
  C) $\frac{1}{3}$
  D) $\frac{1}{4}$
  Show Answer
  The correct answer is B .
• Question 666: Solve for x and y $\left(\begin{array}{cc}1& 1\\ 3& y\end{array}\right)$$\left(\begin{array}{c}x\\ 1\end{array}\right)$ = $\left(\begin{array}{c}4\\ 1\end{array}\right)$ Options:
  A) x = 3, y = 8
  B) x = 3, y = -8
  C) x = -8, y = 3
  D) x = 8, y = -3
  Show Answer
  The correct answer is B .
• Question 667: An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle? Options:
  A) 7$\frac{1}{24}$cm
  B) 12cm
  C) 8cm
  D) 7cm
  E) 69cm
  Show Answer
  The correct answer is A .
• Question 668:

  An arc of a circle subtends an angle of 30${}^{\circ }$ on the circumference of a circle of radius 21cm. Find the length of the arc.

  Options:
  A) 11cm
  B) 22cm
  C) 44cm
  D) 66cm
  Show Answer
  The correct answer is A .
• Question 669: Evaluate ${\int }_1^2$(6x² - 2x)dx Options:
  A) 16
  B) 13
  C) 12
  D) 11
  Show Answer
  The correct answer is D .
• Question 670: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .