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 161: Find the value of (4^{$\frac{1}{2}$})⁶ Options:
  A) 1
  B) 2
  C) 4
  D) 6
  E) 8
  Show Answer
  The correct answer is E .
• Question 162: Evaluate $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ = $\frac{8^{\frac{1}{3}}\times 5^{\frac{2}{3}}}{{10}^{\frac{2}{3}}}$ Options:
  A) $\frac{2}{5}$
  B) $\frac{5}{3}$
  C) 3$\sqrt{5}$
  D) 3$\sqrt{2}$
  Show Answer
  The correct answer is D .
• Question 163: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$) Options:
  A) 14.1cm²
  B) 95.5cm²
  C) 190.9cm²
  D) 381.9cm²
  E) 763.7cm²
  Show Answer
  The correct answer is D .
• Question 164: 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 165: The slope of the tangent to the curve $y=2x^2-2x+5$ at the point $(1,6)$ is Options:
  A) 4
  B) 1
  C) 6
  D) 5
  E) 3
  Show Answer
  The correct answer is C .
• Question 166:

  

  In the figure, PS bisects angle QPR. Find the ratio SR:QR.

  Options:
  A) 1:2
  B) 1:3
  C) 1:4
  D) 1:5
  E) 1:6
  Show Answer
  The correct answer is C .
• Question 167:

  If (x - a) is a factor of bx - ax + x², find the other factor.

  Options:
  A) (x + b)
  B) (x - b)
  C) (a + b)
  D) (a - b)
  Show Answer
  The correct answer is A .
• Question 168:

  Factorise(4a + 3) ${}^2$ - (3a - 2)${}^2$

  Options:
  A) (a + 1)(a + 5)
  B) (a - 5)(7a - 1)
  C) (a + 5)(7a + 1)
  D) a(7a + 1)
  Show Answer
  The correct answer is C .
• Question 169: ${\int }_{-\frac{\pi }{2}}^{\frac{\pi }{2}}$cosx dx Options:
  A) 7
  B) 1
  C) 2
  D) 3
  Show Answer
  The correct answer is B .
• Question 170: 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 .