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 1231: The sum of two numbers is 5; their product is 14. Find the numbers. Options:
  A) x = 5 or 1
  B) x = 7 or 1
  C) x = 7 or 0
  D) x = 7 or − 2
  Show Answer
  The correct answer is D .
• Question 1232:

  Find the roots of x³ - 2x² - 5x + 6 = 0

  Options:
  A) 1, -2, 3
  B) 1, 2, -3
  C) -1, -2, 3
  D) -1, 2, -3
  Show Answer
  The correct answer is A .
• Question 1233: A cone is formed by bending a sector of a circle Saving an angle or 210°. Find the radius of the base of the cone. If the diameter of the circle is 12cm. Options:
  A) 7.00cm
  B) 1.75cm
  C) 21cm
  D) 3.50cm
  E) 2.21cm
  Show Answer
  The correct answer is D .
• Question 1234: A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank. Options:
  A) 60m
  B) 30 $\sqrt{3}$m
  C) 20 $\sqrt{3}$m
  D) 10 $\sqrt{3}$m
  Show Answer
  The correct answer is B .
• Question 1235: What is the next number in the series 2, 1, $\frac{1}{2}$, $\frac{1}{4}$... Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{8}$
  C) $\frac{3}{7}$
  D) $\frac{1}{8}$
  Show Answer
  The correct answer is D .
• Question 1236:

  

  The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

  Options:
  A) 7
  B) 8
  C) 9
  D) 12
  Show Answer
  The correct answer is A .
• Question 1237: Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x² - 1)] Options:
  A) - 3x ÷ (x² - 1)
  B) - x ÷ (x² -1)
  C) x ÷ (x² - 1)
  D) (x + 1) ÷ (x² - 1)
  E) (x + 4) ÷ (x² - 1)
  Show Answer
  The correct answer is B .
• Question 1238: If $\theta$ = $\frac{3}{2}$ and $\theta$ is less than 90${}^{\circ }$, calculate tan $\frac{(90-\theta )}{co{s}^2\theta }$ Options:
  A) $\frac{1}{2}$
  B) $\frac{4}{\sqrt{3}}$
  C) $\sqrt{3}$
  D) 4$\sqrt{3}$
  Show Answer
  The correct answer is B .
• Question 1239: 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 .
• Question 1240: Express 123456 to 3 significant figures Options:
  A) 123 000
  B) 124 000
  C) 125 000
  D) 126 000
  Show Answer
  The correct answer is A .