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 1731:

  Evaluate ${}^{n^2+1}$C${}_{n+5}$ if n = 3

  Options:
  A) 55
  B) 45
  C) 35
  D) 25
  Show Answer
  The correct answer is B .
• Question 1732: Simplify $\frac{2\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}$ Options:
  A) 3$\sqrt{6}-7$
  B) 3$\sqrt{6}-7$
  C) 3$\sqrt{6}-1$
  D) 3$\sqrt{6}+1$
  Show Answer
  The correct answer is A .
• Question 1733:

  A room is12m 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) $\frac{15}{17}$
  B) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 1734:

  A surveyor walks 500m up a hill which slopes at an angle of 30${}^o$. Calculate the vertical height through which he rises

  Options:
  A) 252m
  B) 500m
  C) 250m
  D) 255m
  Show Answer
  The correct answer is C .
• Question 1735: In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP. Options:
  A) 4.8 units
  B) 7.2 units
  C) 8.0 units
  D) 18.0 units
  Show Answer
  The correct answer is B .
• Question 1736:

  Find all median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119

  Options:
  A) 131
  B) 125
  C) 123
  D) 120
  Show Answer
  The correct answer is B .
• Question 1737: Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places Options:
  A) 20.980
  B) 20.351
  C) 20.981
  D) 20.352
  Show Answer
  The correct answer is D .
• Question 1738:

  

  Find the area of the shaded portion of the semicircular figure.

  Options:
  A) $\frac{r^2}{4}(4\pi -3\sqrt{3})$
  B) $\frac{r^2}{4}(2\pi -3\sqrt{3})$
  C) $\frac{1}{2}{r}^2\pi$
  D) $\frac{1}{8}{r}^2\sqrt{3}$
  E) $\frac{r^2}{4}(4\pi -3\sqrt{3})$
  Show Answer
  The correct answer is B .
• Question 1739: Factorize completely x² + 12xy + y + 3x + 3y - 18 Options:
  A) (x + y + 6)(x + y -3)
  B) (x - y - 6)(x - y + 3)
  C) (x - y + 6)(x - y - 3)
  D) (x + y - 6)(x + y + 3)
  Show Answer
  The correct answer is A .
• Question 1740: Given that a*b = ab + a + b and that a0b = a + b = 1. Find an expression (not involving * or 0) for (a*b) 0 (a*c) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of numbers Options:
  A) ac + ab + bc + b + c + 1
  B) ac + ab + a + c + 2
  C) ab + ac + a + b + 1
  D) ac + bc + ab + b + c + 2
  E) ab + ac + 2a + b + c + 1
  Show Answer
  The correct answer is E .