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 1081: 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 1082: 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 1083: Evaluate $\frac{2}{6-5\sqrt{3}}$ Options:
  A) $-(\frac{12}{39}-\frac{10\sqrt{3}}{39})$
  B) $\frac{12}{39}-\frac{10\sqrt{3}}{39}$
  C) $-(\frac{12}{39}+\frac{10\sqrt{3}}{39})$
  D) $\frac{12}{39}+\frac{10\sqrt{3}}{39}$
  Show Answer
  The correct answer is C .
• Question 1084:

  Find the total surface area of a cylinder of base radius 5cm and length 7cm (π = 3.14)

  Options:
  A) 219.9cm²
  B) 157.1cm²
  C) 377.0cm²
  D) 298.7cm²
  Show Answer
  The correct answer is C .
• Question 1085:

  

  In the diagram, PQRs is a circle with 0 as centre and PQ/RT. If RTS = 32${}^{\circ }$. Find PSQ

  Options:
  A) 32${}^{\circ }$
  B) 45${}^{\circ }$
  C) 58${}^{\circ }$
  D) 90${}^{\circ }$
  Show Answer
  The correct answer is C .
• Question 1086:

  

  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 1087:

  

  In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid

  Options:
  A) 198$\pi c{m}^3$
  B) 180$\pi c{m}^3$
  C) 162$\pi c{m}^3$
  D) 216$\pi c{m}^3$
  Show Answer
  The correct answer is A .
• Question 1088: Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value Options:
  A) $\frac{2}{3}$
  B) 1
  C) -1
  D) -$\frac{2}{3}$
  Show Answer
  The correct answer is B .
• Question 1089: Find the product of (2$\sqrt{y-3y}$) and (3y = 2y) Options:
  A) 4y = y²
  B) 4y + 9y²
  C) 4y - 9y²
  D) -4y - 9y²
  E) 2y + y²
  Show Answer
  The correct answer is C .
• Question 1090:

  

  Use the graph of the curve y = f(x)to solve the inequality f(x) $\le$ 0

  Options:
  A) -1 $\ge$ x $\ge$ 1, x $\ge$ 2
  B) x $\le$ -1, 1 $\ge$ x $\ge$ 2
  C) x $\ge$ -1, 1 $\ge$ x $\ge$ 2
  D) x $\ge$ 2, -1 $\ge$ x $\ge$ 1
  Show Answer
  The correct answer is B .