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 1441: 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 1442: An arc of a circle subtends an angle 70^o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.($\pi$ = $\frac{22}{7}$) Options:
  A) 22cm²
  B) 44cm²
  C) 66cm²
  D) 88cm²
  Show Answer
  The correct answer is A .
• Question 1443:

  

  The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume

  Options:
  A) 120m²
  B) 576m³
  C) 816m³
  D) 1056m³
  Show Answer
  The correct answer is C .
• Question 1444: Factorize x² + 2a + ax + 2x Options:
  A) (x + 2a)(x + 1)
  B) (x + 2a)(x - 1)
  C) (x² - 1)(x - a)
  D) (x + 2)(x + a)
  Show Answer
  The correct answer is D .
• Question 1445:

  Find the range of values of x which satisfies the inequality 12x² < x + 1.

  Options:
  A) -$\frac{1}{4}$ < x < $\frac{1}{3}$
  B) $\frac{1}{4}$ < x < -$\frac{1}{3}$
  C) -$\frac{1}{3}$ < x < $\frac{1}{4}$
  D) -$\frac{1}{4}$ < x < - $\frac{1}{3}$
  Show Answer
  The correct answer is A .
• Question 1446: The nth term of the sequence $\frac{3}{2}$, 3, 7, 16, 35, 74, ..., is Options:
  A) 3.2^{n - 2}
  B) 5.2^{n - 2} - n
  C) $\frac{3}{2}$n
  D) $\frac{3}{2}$ ^{n - 2}
  Show Answer
  The correct answer is B .
• Question 1447:
  

  Calculate the area of the composite figure above.

  Options:
  A) 6048 m${}^2$
  B) 3969 m${}^2$
  C) 4628 m${}^2$
  D) 5834 m${}^2$
  Show Answer
  The correct answer is B .
• Question 1448: An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7] Options:
  A) 70^o
  B) 84^o
  C) 96^o
  D) 156^o
  E) 168^o
  Show Answer
  The correct answer is B .
• Question 1449: Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number Options:
  A) 2
  B) 3
  C) 4
  D) 5
  E) 6
  Show Answer
  The correct answer is B .
• Question 1450: Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$ Options:
  A) 17-√7
  B) 4-√7
  C) 15+√7
  D) 7-√7
  Show Answer
  The correct answer is B .