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 31: Cos 65^o has the same value as Options:
  A) Sin 65^o
  B) Cos 25^o
  C) Cos 115^o
  D) Cos 205^o
  E) Cos 295^o
  Show Answer
  The correct answer is E .
• Question 32: If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p Options:
  A) -4, 2
  B) -3, $\frac{4}{11}$
  C) -$\frac{4}{11}$, 2
  D) 5, -3
  Show Answer
  The correct answer is C .
• Question 33: The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m²; how wide is the lawn? Options:
  A) 5cm
  B) 7m
  C) 12m
  D) 14m
  Show Answer
  The correct answer is A .
• Question 34:
  

  In this fiqure, PQ = PR = PS and SRT = 68${}^o$. Find QPS

  Options:
  A) 136${}^o$
  B) 124${}^o$
  C) 112${}^o$
  D) 68${}^o$
  Show Answer
  The correct answer is A .
• Question 35: Express the product of 0.00043 and 2000 in standard form. Options:
  A) 8.6 x 10^-3
  B) 8.3 x 10^-2
  C) 8.6 x 10^-1
  D) 8.6 x 10
  Show Answer
  The correct answer is C .
• Question 36: Simplify $\frac{9^{\frac{1}{3}}\times {27}^{-\frac{1}{3}}}{3^{-\frac{1}{6}}\times 3^{\frac{2}{3}}}$ Options:
  A) $\frac{1}{3}$
  B) 1
  C) 3
  D) 9
  Show Answer
  The correct answer is B .
• Question 37: 7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age of 11 years join the class, what is the average age of the pupils now in the class? Options:
  A) 13 years
  B) 12 years 7$\frac{1}{2}$ months
  C) 13 years 5 months
  D) 13 years 10 months
  E) 11 years
  Show Answer
  The correct answer is D .
• Question 38: If sin $\theta$ = cos $\theta$, find $\theta$ between 0^o and 360^o Options:
  A) 45^o, 225^o
  B) 135^o, 315^o
  C) 45^o, 315^o
  D) 135^o, 225^o
  Show Answer
  The correct answer is C .
• Question 39: Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1. Options:
  A) 32
  B) 36
  C) 33
  D) 40
  Show Answer
  The correct answer is D .
• Question 40: Write the equation 2 log₂x - x log₂(1 + y) = 3 in a form not involving logarithms Options:
  A) 2^x(1 + y) = 3
  B) 2^x - x(1 + y) = 8
  C) x² = 8(1 + y)^x
  D) x² - x(1 + y) = 8
  E) x² - (1 + y)² = 8
  Show Answer
  The correct answer is C .