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 761:

  

  Find the value of $\theta$ in the diagram

  Options:
  A) 60${}^{\circ }$
  B) 100${}^{\circ }$
  C) 120${}^{\circ }$
  D) 30${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 762: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 763: Solve for the equation $\sqrt{x}$ - $\sqrt{(x-2)}$ - 1 = 0 Options:
  A) $\frac{3}{2}$
  B) $\frac{2}{3}$
  C) $\frac{4}{9}$
  D) $\frac{9}{4}$
  Show Answer
  The correct answer is D .
• Question 764: Write the equation 2 log₂x - x log₂(1 + y) = 3 in a form not involving logarithms Options:
  A) 2^x(1 + y) = 3
  B) 2^x - x(1 + y) = 8
  C) x² = 8(1 + y)^x
  D) x² - x(1 + y) = 8
  E) x² - (1 + y)² = 8
  Show Answer
  The correct answer is C .
• Question 765: 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 766:

  Find the equation of straight line passing through (2, 3) and perpendicular to the line $3x+2y+4=0$

  Options:
  A) 3y = 5x - 2
  B) y = $\frac{5}{3}\times -2$
  C) None of these
  D) 3y = 2x + 5
  Show Answer
  The correct answer is D .
• Question 767:

  A solid hemisphere has a radius of 7 cm. Find the total surface area.

  Options:
  A) 400 cm²
  B) 462 cm²
  C) 66 cm²
  D) 308 cm²
  Show Answer
  The correct answer is B .
• Question 768: Solve for x and y if x - y = 2 and x² - y² = 8 Options:
  A) (-1, 3)
  B) (3, 1)
  C) (-3, 1)
  D) (1, 3)
  Show Answer
  The correct answer is B .
• Question 769:

  

  In the diagram, O is the centre of the circle. If SOQ is a diameter and < PRS is 38${}^{\circ }$, what is the value of < PSQ

  Options:
  A) 148${}^{\circ }$
  B) 104${}^{\circ }$
  C) 80${}^{\circ }$
  D) 52${}^{\circ }$
  Show Answer
  The correct answer is D .
• Question 770:

  

  In the diagram above, QR is in the diameter of the semicircle QR. Find the areas of the figure to the nearest whole number.

  Options:
  A) 89 cm²
  B) 70 cm²
  C) 90 cm²
  D) 80 cm²
  Show Answer
  The correct answer is C .