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 1: 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 2: If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is Options:
  A) (2.6, 2.6)
  B) (2.5, 2.6)
  C) (2.6, 2.5)
  D) (2.5, 2.1)
  Show Answer
  The correct answer is B .
• Question 3:

  No. of Days	1	2	3	4	5	6
  No. of students	20	2x	60	40	x	50

  The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for t least four days in the term

  Options:
  A) 180
  B) 120
  C) 110
  D) 40
  Show Answer
  The correct answer is B .
• Question 4:

  Let '*' and '^' be two binary operations such that a * b = a${}^2$b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).

  Options:
  A) -49
  B) 64
  C) 113
  D) 15
  Show Answer
  The correct answer is D .
• Question 5: In a right angled triangle, if tan $\theta$ = $\frac{3}{4}$. What is cos$\theta$ - sin$\theta$? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{5}$
  C) $\frac{1}{5}$
  D) $\frac{4}{5}$
  Show Answer
  The correct answer is C .
• Question 6: Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X. Options:
  A) 4≤X≤5
  B) 5≤X≤8
  C) 5≤X≤10
  D) 8≤X≤10
  Show Answer
  The correct answer is C .
• Question 7: Simplify $\sqrt{6a}\times \sqrt{576a^6}$ Options:
  A) ± 16a2
  B) ± 16a
  C) ± 14a2
  D) ± 12a2
  E) ± 12a
  Show Answer
  The correct answer is D .
• Question 8: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 9:

  

  In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid

  Options:
  A) 198$\pi c{m}^3$
  B) 180$\pi c{m}^3$
  C) 162$\pi c{m}^3$
  D) 216$\pi c{m}^3$
  Show Answer
  The correct answer is A .
• Question 10: If x varies inversely as y, and y varies directly as the square root of z, and z varies directly $\frac{1}{w^2}$ write down in words how x varies with w Options:
  A) x varies inversely as w²
  B) x varies directly as w²
  C) x varies directly as w
  D) x varies inversely as w
  E) x varies directly as square root of w
  Show Answer
  The correct answer is B .