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 21:

  A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

  Options:
  A) 217${}^o$
  B) 323${}^o$
  C) 037${}^o$
  D) 053${}^o$
  Show Answer
  The correct answer is B .
• Question 22: Make Q the subject of formula if p = $\frac{M}{5}$(X + Q) + 1 Options:
  A) $\frac{5P-MX+5}{M}$
  B) $\frac{5P-MX-5}{M}$
  C) $\frac{5P+MX+5}{M}$
  D) $\frac{5P+MX-5}{M}$
  Show Answer
  The correct answer is B .
• Question 23: A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in the measurement? Options:
  A) 0.25%
  B) 0.01%
  C) 0.80%
  D) 0.40%
  Show Answer
  The correct answer is C .
• Question 24: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 25:

  if y = 23${}_{five}$ + 101${}_{three}$ find y leaving your answer in base two

  Options:
  A) 1110
  B) 10111
  C) 11101
  D) 111100
  Show Answer
  The correct answer is B .
• Question 26: x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2? Options:
  A) 2.5
  B) 5
  C) 6.25
  D) 6.52
  E) 7.5
  Show Answer
  The correct answer is C .
• Question 27: 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 28: 2x² + 11x² + 17x + 6 by 2x + 1 Options:
  A) x² + 5x + 6
  B) 2x² + 5x - 6
  C) 2x² + 5x + 6
  D) x² - 5x + 6
  Show Answer
  The correct answer is A .
• Question 29: 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 30:

  If ${25}^{1-x}\times 5^{x+2}÷(\frac{1}{125}{)}^x={625}^{-1}$, find the value of x.

  Options:
  A) x = -4
  B) x = 2
  C) x = -2
  D) x = 4
  Show Answer
  The correct answer is A .