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 2881:

  

  PQRS is a cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50${}^{\circ }$ with the tangent as shown in the figure. What is the size of QRS?

  Options:
  A) 50${}^{\circ }$
  B) 40${}^{\circ }$
  C) 110v
  D) 80${}^{\circ }$
  E) 100${}^{\circ }$
  Show Answer
  The correct answer is E .
• Question 2882: 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 2883:

  

  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 2884: the derivative of cosec x is Options:
  A) tan x cosec x
  B) -cot x cosec x
  C) tan x sec x
  D) -cot x sec x
  Show Answer
  The correct answer is B .
• Question 2885: Evaluate $\frac{1}{3}÷[\frac{5}{7}(\frac{9}{10}-1+\frac{3}{4})]$ Options:
  A) $\frac{28}{39}$
  B) $\frac{13}{39}$
  C) $\frac{39}{28}$
  D) $\frac{84}{13}$
  Show Answer
  The correct answer is A .
• Question 2886: Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1. Options:
  A) 12π
  B) 4π
  C) 24π
  D) 8π
  Show Answer
  The correct answer is B .
• Question 2887: The graph of the function y = x² + 4 and a straight line PQ are drawn to solve the equation x² - 3x + 2 = 0. What is the equation of PQ? Options:
  A) y = 3x - 2
  B) y = 3x + 2
  C) y = 3x - 4
  D) y = 3x + 4
  Show Answer
  The correct answer is B .
• Question 2888: Given that 10^x = 0.2 and log₁₀2 = 0.3010, find x Options:
  A) -1.3010
  B) -0.6990
  C) 0.6990
  D) 1.3010
  E) 0.02
  Show Answer
  The correct answer is B .
• Question 2889: 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 2890: Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X. Options:
  A) 4≤X≤5
  B) 5≤X≤8
  C) 5≤X≤10
  D) 8≤X≤10
  Show Answer
  The correct answer is C .