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 1901: What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is

  2

  3

  ? Options:
  A) -2
  B) -1
  C) 1
  D) 2
  Show Answer
  The correct answer is D .
• Question 1902: Calculate without using tables Tan 45° + Cos 60° Options:
  A) $\sqrt{\frac{3}{2}}$ - 1
  B) $\frac{1}{2}$
  C) 1$\frac{1}{2}$
  D) $\sqrt{\frac{3}{2}}$ + 1
  E) 2
  Show Answer
  The correct answer is C .
• Question 1903: The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)? Options:
  A) 85.7°
  B) 47.5°
  C) 41.5°
  D) 41.4°
  E) 38.2°
  Show Answer
  The correct answer is B .
• Question 1904: 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 1905: Simplify $\frac{3^n-3^{n-1}}{3^3\times 3^n-27\times 3^{n-1}}$ Options:
  A) 1
  B) 6
  C) $\frac{1}{27}$
  D) $\frac{4}{3}$
  Show Answer
  The correct answer is C .
• Question 1906: If T = 2 π √¹/_g, make g the subject of the formula Options:
  A) (4π l²) / T
  B) (4π²l) / T²
  C) (4π²l²) / T²
  D) (2π√l) / T
  Show Answer
  The correct answer is B .
• Question 1907:

  If $y=6x^3+2x^{-2}-x^{-3}$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$.

  Options:
  A) $\frac{\mathrm{d}y}{\mathrm{d}x}=15x^2-4x^{-2}-3x^{-2}$
  B) $\frac{\mathrm{d}y}{\mathrm{d}x}=6x+4x^{-1}-3x^{-4}$
  C) $\frac{\mathrm{d}y}{\mathrm{d}x}=18x^2-4x^{-3}+3x^{-4}$
  D) $\frac{\mathrm{d}y}{\mathrm{d}x}=12x^2+4x^{-1}-3x^{-2}$
  Show Answer
  The correct answer is C .
• Question 1908: If ₦560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share? Options:
  A) ₦392.49
  B) ₦56.70
  C) ₦113.40
  D) ₦112.14
  E) ₦56.07
  Show Answer
  The correct answer is E .
• Question 1909: Which of these angles can be constructed using ruler and a pair of compasses only? Options:
  A) 115^o
  B) 125^o
  C) 135^o
  D) 145^o
  Show Answer
  The correct answer is C .
• Question 1910:

  The table below shows the frequency of children of age x years in a hospital:

  x	1	2	3	4	5	6	7	8
  f	3	4	5	6	7	6	5	4

  Use the table to answer the question below:

  What is the modal age?

  Options:
  A) 4
  B) 5
  C) 6
  D) 7
  Show Answer
  The correct answer is B .