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 1511: 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 1512: Differentiate (cos θ - sin θ)² Options:
  A) -2 cos 2θ
  B) -2 sin2θ
  C) 1 - 2 cos 2θ
  D) 1 - 2 sin 2θ
  Show Answer
  The correct answer is A .
• Question 1513: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 1514: If the 6th term of an arithmetic progression is 11 and the first term is 1, find the common difference. Options:
  A) $\frac{12}{5}$
  B) $\frac{5}{3}$
  C) -2
  D) 2
  Show Answer
  The correct answer is D .
• Question 1515: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 1516: Solve the equation cos x + sin x $\frac{1}{cosx-sinx}$ for values of such that 0 $\le$ x < 2$\pi$. Options:
  A) $\frac{\pi }{2}$, $\frac{3\pi }{2}$
  B) $\frac{\pi }{3}$, $\frac{2\pi }{3}$
  C) 0, $\frac{\pi }{3}$
  D) 0, $\pi$
  Show Answer
  The correct answer is D .
• Question 1517: Factorize a²x - b²y - b²x + a²y Options:
  A) (a - b)(x + y)
  B) (y - x)(a - b)(a + b)
  C) (x - y)(a - b)(a + b)
  D) (x + y)(a - b)(a + b)
  Show Answer
  The correct answer is D .
• Question 1518: If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point Options:
  A) 2, ½
  B) ½ , 2
  C) 1, ½
  D) 0, 2
  Show Answer
  The correct answer is B .
• Question 1519: If the shadow of a pole 7m high is 1/2 its length what is the angle of elevation of the sun, correct to the nearest degree? Options:
  A) 90^o
  B) 63^o
  C) 60^o
  D) 26^o
  E) 0^o
  Show Answer
  The correct answer is B .
• Question 1520:

  $\begin{array}{ccccc}\text{Scores}& 3& 6& 5& 2\\ \text{Frequency}& 2& 3& 4& 6\end{array}$

  From the table above, find the median.

  Options:
  A) 3
  B) 5
  C) 4
  D) 6
  Show Answer
  The correct answer is A .