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 1421: If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1$\frac{7}{9}$ Options:
  A) 20$\frac{1}{4}$
  B) 27
  C) 2$\frac{1}{4}$
  D) 36
  Show Answer
  The correct answer is D .
• Question 1422: 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 1423: A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is Options:
  A) $\sqrt{3}$ units
  B) 3 units
  C) $\sqrt{41+20\sqrt{2}}$ units
  D) $\sqrt{41-20\sqrt{2}}$ units
  Show Answer
  The correct answer is C .
• Question 1424: Simplify 7$\frac{1}{12}$ - 4$\frac{3}{2}$ + 2$\frac{1}{2}$ Options:
  A) 4
  B) 4$\frac{1}{6}$
  C) 4$\frac{5}{6}$
  D) 5$\frac{1}{6}$
  Show Answer
  The correct answer is C .
• Question 1425: Find, without using logarithm tables, the value of $\frac{lo{g}_{3}27-lo{g}_{\frac{1}{4}}64}{lo{g}_3\frac{1}{81}}$ Options:
  A) $\frac{-3}{9}$
  B) $\frac{-3}{2}$
  C) $\frac{6}{11}$
  D) $\frac{43}{78}$
  Show Answer
  The correct answer is B .
• Question 1426: If y = 2x - sin2x, find dy/dx when x = π/4 Options:
  A) π
  B) -π
  C) π/2
  D) -π/2
  Show Answer
  The correct answer is D .
• Question 1427: In how many ways can 9 people be seated if 3 chairs are available Options:
  A) 720
  B) 504
  C) 336
  D) 210
  Show Answer
  The correct answer is B .
• Question 1428:

  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 1429: The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec Options:
  A) 96 cm
  B) 324 cm
  C) 36 cm
  D) 144 cm
  Show Answer
  The correct answer is B .
• Question 1430:

  Express the product of 0.0014 and 0.011 in standard form

  Options:
  A) 1.54 x 10${}^{-2}$
  B) 1.54 x 10${}^{-3}$
  C) 1.54 x 10${}^{-2}$
  D) 1.54 x 10${}^{-5}$
  Show Answer
  The correct answer is D .