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 1321: The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff? Options:
  A) $\frac{5\surd 3m}{3}$
  B) 5√3m
  C) 10√3m
  D) $\frac{10\surd 3m}{3}$
  Show Answer
  The correct answer is C .
• Question 1322: A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2? Options:
  A) 336
  B) 420
  C) 576
  D) 720
  Show Answer
  The correct answer is A .
• Question 1323:

  Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

  Options:
  A) 24°
  B) 56°
  C) 127°
  D) 156°
  Show Answer
  The correct answer is D .
• Question 1324: the derivative of cosec x is Options:
  A) tan x cosec x
  B) -cot x cosec x
  C) tan x sec x
  D) -cot x sec x
  Show Answer
  The correct answer is B .
• Question 1325:

  Given that log₄(y - 1) + log₄($\frac{1}{2}$x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

  Options:
  A) 2, 3
  B) 3, 2
  C) -2, -3
  D) -3, -2
  Show Answer
  The correct answer is C .
• Question 1326:

  The area A of a circle is increasing at a constant rate of 1.5 cm${}^2{s}^{-1}$. Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm${}^2$.

  Options:
  A) 0.200 cms${}^{-1}$
  B) 0.798 cms${}^{-1}$
  C) 0.300 cms${}^{-1}$
  D) 0.299 cms${}^{-1}$
  Show Answer
  The correct answer is D .
• Question 1327: Express $\frac{5x-12}{(x-2)(x-3)}$ in partial fractions Options:
  A) $\frac{2}{x-2}-\frac{3}{x-3}$
  B) $\frac{2}{x-2}+\frac{3}{x-3}$
  C) $\frac{2}{x-2}-\frac{3}{x-2}$
  D) $\frac{5}{x-3}-\frac{4}{x-2}$
  Show Answer
  The correct answer is B .
• Question 1328: Without using tables, simplify $\frac{1n\sqrt{216}-1n\sqrt{125}-1n\sqrt{8}}{2(1n3-1n5)}$ Options:
  A) -3
  B) 3
  C) $\frac{3}{5}$
  D) $\frac{-3}{2}$
  E) 1n 6 - 2 1n 5
  Show Answer
  The correct answer is C .
• Question 1329: If b = a + cp and r = ab + $\frac{1}{2}$cp², express b² in terms of a, c, r. Options:
  A) b² = aV + 2cr
  B) b² = ar + 2c²r
  C) b² = a² = $\frac{1}{2}$ cr²
  D) b² = $\frac{1}{2}$ar² + c
  E) b² = 2cr - a²
  Show Answer
  The correct answer is E .
• Question 1330: What is the probability that an integer x $(1\le x\le 25)$ chosen at random is divisible by both 2 and 3? Options:
  A) $\frac{1}{25}$
  B) $\frac{1}{5}$
  C) $\frac{4}{25}$
  D) $\frac{3}{4}$
  Show Answer
  The correct answer is C .