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 2751: Simplify $\frac{3^{-5n}}{9^{1-n}}\times {27}^{n+1}$ Options:
  A) 3²
  B) 3³
  C) 3⁵
  D) 3
  Show Answer
  The correct answer is D .
• Question 2752: P varies directly as the square of Q and inversely as R. If P = 36, when Q = 3 and R = 4, find P when Q = 5 and R = 2. Options:
  A) 72
  B) 100
  C) 90
  D) 200
  E) 125
  Show Answer
  The correct answer is D .
• Question 2753: If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p Options:
  A) -4, 2
  B) -3, $\frac{4}{11}$
  C) -$\frac{4}{11}$, 2
  D) 5, -3
  Show Answer
  The correct answer is C .
• Question 2754: Find the product of (2$\sqrt{y-3y}$) and (3y = 2y) Options:
  A) 4y = y²
  B) 4y + 9y²
  C) 4y - 9y²
  D) -4y - 9y²
  E) 2y + y²
  Show Answer
  The correct answer is C .
• Question 2755:

  The nth term of the sequence 3, 9, 27, 81.... is

  Options:
  A) 3 x 3^n-2
  B) 3 x 3^n-1
  C) 3 x 3ⁿ⁺²
  D) 3 x 3ⁿ⁺¹
  Show Answer
  The correct answer is B .
• Question 2756: 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 2757: If y varies inversely as x², how does x vary with y? Options:
  A) x varies inversely as y²
  B) x varies inversely as $\sqrt{y}$
  C) x varies directly as y²
  D) x varies directly as $\sqrt{y}$
  E) x varies directly as y
  Show Answer
  The correct answer is B .
• Question 2758: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 2759: If two smaller sides of a right angled triangle are 4cm and 5cm, find its area Options:
  A) 10 cm²
  B) 6 cm²
  C) 24 cm²
  D) 8 cm²
  Show Answer
  The correct answer is A .
• Question 2760: 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 .