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 1451:

  If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2.

  Options:
  A) P = 98R²
  B) PR² = 98
  C) P = $\frac{1}{98R^2}$
  D) P = $\frac{P{R}^2}{98}$
  Show Answer
  The correct answer is B .
• Question 1452: The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1 Options:
  A) 9
  B) - 9
  C) 6
  D) - 6
  Show Answer
  The correct answer is C .
• Question 1453: 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 1454: Find the value of sin 45^o - cos 30^o Options:
  A) $\frac{2+\sqrt{6}}{4}$
  B) $\frac{\sqrt{2}+\sqrt{3}}{4}$
  C) $\frac{\sqrt{2}+\sqrt{3}}{6}$
  D) $\frac{\sqrt{2}-\sqrt{3}}{2}$
  Show Answer
  The correct answer is D .
• Question 1455: Find the simple interest on ₦325 in 5years at 3% per annum. Options:
  A) ₦48.75K
  B) ₦50.10K
  C) ₦75.50K
  D) ₦15.75K
  Show Answer
  The correct answer is A .
• Question 1456: Simplify 2log $\frac{2}{5}$ - log$\frac{72}{125}$ + log 9 Options:
  A) 1 - 4 log3
  B) -1 + 2 log 3
  C) -1 + 5 log2
  D) 1 - 2log 2
  Show Answer
  The correct answer is D .
• Question 1457: The cost of dinner for a group of students is partly constant and partly varies directly as the number of students. If the cost is ₦74.00 when the number of is 20 and ₦96.00 when the number is 30, find the cost when there are 15 students Options:
  A) ₦68.50
  B) ₦63.00
  C) ₦60.00
  D) ₦52.00
  Show Answer
  The correct answer is B .
• Question 1458:

  

  In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.

  Options:
  A) 6$\frac{3}{4}$cm
  B) 3$\frac{3}{8}$cm
  C) 4$\frac{3}{8}$cm
  D) 2$\frac{3}{8}$cm
  Show Answer
  The correct answer is A .
• Question 1459: 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 1460: 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 .