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: Factorize 9p² - q² + 6qr - 9r² Options:
  A) (3p - 3q + r)(3p - q - 3r)
  B) (6p - 3q - 3r)(3p - q - 4r)
  C) (3p - q + 3r)(3p - q - 3r)
  D) (3q - p + 3r)(3q - p + 3r)
  Show Answer
  The correct answer is C .
• Question 2: Convert 27₁₀ to another number in base three Options:
  A) 1001₃
  B) 1010₃
  C) 1100₃
  D) 1000₃
  Show Answer
  The correct answer is D .
• Question 3: Simplify $\frac{3^n-3^{n-1}}{3^3\times 3^n-27\times 3^{n-1}}$ Options:
  A) 1
  B) 6
  C) $\frac{1}{27}$
  D) $\frac{4}{3}$
  Show Answer
  The correct answer is C .
• Question 4:

  An arc of a circle subtends an angle of 30${}^{\circ }$ on the circumference of a circle of radius 21cm. Find the length of the arc.

  Options:
  A) 11cm
  B) 22cm
  C) 44cm
  D) 66cm
  Show Answer
  The correct answer is A .
• Question 5: Which of the following is a factor of rs + tr - pt - ps? Options:
  A) (p - s)
  B) (s - p)
  C) r - p)
  D) r + p)
  Show Answer
  The correct answer is C .
• Question 6: 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 7:

  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 8: Bola choose at random a number between 1 and 300. What is the probability that the number is divisible by 4? Options:
  A) $\frac{1}{4}$
  B) $\frac{4}{4}$
  C) $\frac{6}{4}$
  D) $\frac{7}{4}$
  Show Answer
  The correct answer is A .
• Question 9:

  

  The pie chart above shoes the distribution of the corps harvested from a farmland in a year, If 3,000 tonnes of millet is harvested, what amount of beans is harvested?

  Options:
  A) 9000 tonnes
  B) 6000 tonnes
  C) 1500 tonnes
  D) 1200tonnes
  Show Answer
  The correct answer is D .
• Question 10:
  

  Find the value of the angle marked x in the diagram above

  Options:
  A) 60${}^0$
  B) 45${}^0$
  C) 90${}^0$
  D) 30${}^0$
  Show Answer
  The correct answer is A .