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 1801: 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 1802:

  Simplify (1 + $\frac{\frac{x-1}{1}}{\frac{1}{x+1}}$)(x + 2)

  Options:
  A) (x² - 1)(x + 2)
  B) x²(x + 2)
  C) x² + 34
  D) $\frac{3x^2-1}{(x-1)}$
  Show Answer
  The correct answer is B .
• Question 1803: The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone Options:
  A) 7cm
  B) 22cm
  C) 28cm
  D) 49cm
  E) 154cm
  Show Answer
  The correct answer is C .
• Question 1804:

  If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find (A B) ⋃ (B A).

  Options:
  A) {1, 3, 5, 8}
  B) {8}
  C) {1, 2, 3, 4, 5, 6, 8}
  D) {1, 3, 5}
  Show Answer
  The correct answer is A .
• Question 1805:

  $\begin{array}{cccccc}\text{Marks}& 1& 2& 3& 4& 5\\ \text{Frequency}& 2& 2& 8& 4& 4\end{array}$

  The table above shows the marks obtained in a given test. How many students took the test?

  Options:
  A) 16
  B) 20
  C) 13
  D) 15
  Show Answer
  The correct answer is B .
• Question 1806: A man bought a second-hand photocopying machine for N34,000. He serviced is at a cost od N2,000 and then sold it i profit of 15%. What was the selling price? Options:
  A) N37,550
  B) N40,400
  C) N41,400
  D) N42,400
  Show Answer
  The correct answer is C .
• Question 1807: A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board? Options:
  A) 20sq.cm
  B) 100sq.cm
  C) 25sq.cm
  D) 16sq.cm
  E) 36sq.cm
  Show Answer
  The correct answer is C .
• Question 1808: A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is Options:
  A) commutative and close on the set of positive integers
  B) neither commutative nor closed on the set of ppositive integers
  C) commutative but not closed on the set of positive integers
  D) not cummutative but closed on the set of positive integers
  Show Answer
  The correct answer is B .
• Question 1809: If ⁿP₃ - 6(ⁿC₄) = 0, find the value of n Options:
  A) 5
  B) 6
  C) 7
  D) 8
  Show Answer
  The correct answer is C .
• Question 1810: If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3 Options:
  A) $\frac{1}{3}$
  B) $\frac{2}{3}$
  C) $\frac{8}{27}$
  D) $\frac{4}{9}$
  Show Answer
  The correct answer is C .