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 2311: 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 2312: In a right angled triangle, if tan $\theta$ = $\frac{3}{4}$. What is cos$\theta$ - sin$\theta$? Options:
  A) $\frac{2}{3}$
  B) $\frac{3}{5}$
  C) $\frac{1}{5}$
  D) $\frac{4}{5}$
  Show Answer
  The correct answer is C .
• Question 2313: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 2314: 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 2315: Solve the equation: $\frac{1}{3}x$ + $\frac{2}{5}$ = $\frac{3}{4}x$ - $\frac{1}{6}$ Options:
  A) $\frac{17}{30}$
  B) $\frac{65}{102}$
  C) $\frac{25}{34}$
  D) $\frac{102}{75}$
  E) $\frac{34}{25}$
  Show Answer
  The correct answer is E .
• Question 2316:

  

  In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

  Options:
  A) 60cm²
  B) 65cm²
  C) 72cm²
  D) 144cm²
  E) 156cm²
  Show Answer
  The correct answer is D .
• Question 2317: For the set of numbers 2, 3, 5, 6, 7, 7, 8 Options:
  A) The median is greater than the mode
  B) the mean is greater than the mode
  C) the mean is greater than the median
  D) the median is equal to the mean
  E) the mean is less than the median
  Show Answer
  The correct answer is E .
• Question 2318: If y = 2x² + 9x - 35. Find the range of values for which y < 0. Options:
  A) 7 < x < $\frac{5}{2}$
  B) -5 < 7 < x
  C) -7 < x < 5
  D) -7 < x < $\frac{5}{2}$
  Show Answer
  The correct answer is D .
• Question 2319: If $\frac{9^{2x-1}}{{27}^{x+1}}=1$find the value of x. Options:
  A) 8
  B) 5
  C) 3
  D) 2
  Show Answer
  The correct answer is B .
• Question 2320: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .