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 11: Solve the given equation (log₃x)² - 6 log₃x + 9 = 0 Options:
  A) 27
  B) 9
  C) $\frac{1}{27}$
  D) 18
  E) 81
  Show Answer
  The correct answer is A .
• Question 12: 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 13:

  Evaluate $\frac{5}{8}-\frac{3}{4}÷\frac{5}{12}\times \frac{1}{4}$

  Options:
  A) - $\frac{3}{40}$
  B) $\frac{3}{40}$
  C) $\frac{7}{40}$
  D) -$\frac{263}{40}$
  Show Answer
  The correct answer is C .
• Question 14:

  Simplify and express in standard form $\frac{0.00275\times 0.00640}{0.025\times 0.08}$

  Options:
  A) 8.8 x 10^-1
  B) 8.8 x 10^-2
  C) 8.8 x 10^-3
  D) 8.8 x 10³
  Show Answer
  The correct answer is C .
• Question 15: Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5 Options:
  A) x = 2$\frac{1}{2}$, y = 3$\frac{1}{2}$
  B) x = $\frac{1}{2}$, y = $\frac{3}{2}$
  C) x = 2$\frac{1}{4}$, y = 3$\frac{1}{2}$
  D) x = 2$\frac{1}{3}$, y = 3$\frac{1}{2}$
  E) x = 2$\frac{1}{3}$, y = 2$\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 16:

  If $6x^3+2x^2-5x+1$ divides $x^2-x-1$, find the remainder.

  Options:
  A) 9x + 9
  B) 2x + 6
  C) 6x + 8
  D) 5x - 3
  Show Answer
  The correct answer is A .
• Question 17: A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square? Options:
  A) 56cm²
  B) 49cm²
  C) 98cm²
  D) 28cm²
  Show Answer
  The correct answer is B .
• Question 18: Simplify $7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}$ Options:
  A) 4
  B) 4¹/₆
  C) 4⁵/₆
  D) 5¹/₆
  Show Answer
  The correct answer is C .
• Question 19: 3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share Options:
  A) 36
  B) 24
  C) 16
  D) 38
  Show Answer
  The correct answer is C .
• Question 20: Find ${\int }_0^1$ cos4 x dx Options:
  A) $\frac{3}{4}$ sin 4x + k
  B) -$\frac{1}{4}$ sin 4x + k
  C) -$\frac{3}{4}$ sin 4x + k
  D) $\frac{1}{4}$ sin 4x + k
  Show Answer
  The correct answer is D .