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: The angle of elevation of a building from a measuring instrument placed on the ground is 30^o. If the building is 40m high, how far is the instrument from the foot of the building? Options:
  A) $\frac{20}{\surd 3}$m
  B) $\frac{40}{\surd 3}$m
  C) 20√3m
  D) 40√3m
  Show Answer
  The correct answer is D .
• Question 762: A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room Options:
  A) $\frac{5}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 763: Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8 Options:
  A) (2, 0)
  B) (1, -2)
  C) (-1, -2)
  D) (1, 2)
  Show Answer
  The correct answer is B .
• Question 764: What is the derivative of t² sin (3t - 5) with respect to t? Options:
  A) 6t cos (3t - 5)
  B) 2t sin (3t - 5) - 3t² cos (3t - 5)
  C) 2t sin (3t - 5) + 3t² cos (3t - 5)
  D) 2t sin (3t - 5) + t² cos 3t
  Show Answer
  The correct answer is C .
• Question 765: The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought? Options:
  A) M246₇
  B) M242₇
  C) M236₇
  D) M341₇
  E) M338₇
  Show Answer
  The correct answer is C .
• Question 766: A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius $\frac{1}{2}$cm is immersed in the water, then the rise of water is Options:
  A) 1cm
  B) $\sqrt{\frac{3\pi }{24}}$
  C) $\frac{\pi }{24\sqrt{3}}$
  D) 24$\sqrt{3}$
  Show Answer
  The correct answer is C .
• Question 767: Determine the value of x for which (x² - 1) > 0
  Options:
  A) x < -1 or x > 1
  B) -1 < x < 1
  C) x > 0
  D) x < -1
  Show Answer
  The correct answer is A .
• Question 768: The factors of 9 - (x² - 3x - 1)² are Options:
  A) -(x - 4)(x + 1) (x - 1)(x - 2)
  B) (x - 4)(x - 2) (x - 1)(x + 1)
  C) -(x - 2)(x + 1) (x - 2) (x - 1)
  D) (x - 2)(x + 2) (x - 1)(x + 1)
  Show Answer
  The correct answer is A .
• Question 769: The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm? Options:
  A) 36 π cm²/sec
  B) 18 π cm²/sec
  C) 6 π cm²/sec
  D) 3 π cm²/sec
  Show Answer
  The correct answer is C .
• Question 770: Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13. Options:
  A) 2
  B) 4
  C) 10
  D) 11
  Show Answer
  The correct answer is A .