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 1071:

  Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

  $\begin{array}{ccc}\text{Class boundary in cm}& \text{frequency}& \\ 3.35-3.45& 3\\ 3.45-3.55& 6\\ 3.55-3.65& 7\\ 3.65-3.75& 4\end{array}$

  What is the mean diameter of the copper spheres?

  Options:
  A) 3.40cm
  B) 3.58cm
  C) 3.56cm
  D) 3.62cm
  Show Answer
  The correct answer is C .
• Question 1072:

  $\begin{array}{ccccccc}\text{No. of days}& 1& 2& 3& 4& 5& 6\\ \text{No. of students}& 20& 2x& 60& 40& x& 50\end{array}$

  The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term

  Options:
  A) 180
  B) 120
  C) 110
  D) 40
  Show Answer
  The correct answer is B .
• Question 1073: In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random. What is the probability that the fruit is either a grape or a banana Options:
  A) ⁶/₃₀
  B) ⁵/₃₀
  C) ¹⁷/₃₀
  D) ¹¹/₃₀
  Show Answer
  The correct answer is C .
• Question 1074:

  A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

  Options:
  A) $\frac{15}{17}$
  B) $\frac{9}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 1075: 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 .
• Question 1076:

  Solve the logarithmic equation: $lo{g}_2(6-x)=3-lo{g}_{2}x$

  Options:
  A) $x$ = 4 or 2
  B) $x$ = -4 or -2
  C) $x$ = -4 or 2
  D) $x$ = 4 or -2
  Show Answer
  The correct answer is A .
• Question 1077:

  Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

  Options:
  A) 4.46
  B) 4.48
  C) 4.47
  D) 4.49
  E) 4.50
  Show Answer
  The correct answer is C .
• Question 1078:

  If $\left|\begin{array}{cc}2& -4\\ x& 9\end{array}\right|=58$, find the value of x.

  Options:
  A) 10
  B) 30
  C) 14
  D) 28
  Show Answer
  The correct answer is A .
• Question 1079: Find the sum to infinity to the following series 3 + 2 + $\frac{4}{3}$ + $\frac{8}{9}$ + $\frac{16}{17}$ + ..... Options:
  A) 1270
  B) 190
  C) 18
  D) 9
  Show Answer
  The correct answer is D .
• Question 1080: Make T the subject of the equation $\frac{av}{1-v}$ = $\sqrt{\frac{2v+T}{a+2T}}$ Options:
  A) T = $\frac{3av}{1-v}$
  B) T = $\frac{1+v}{2a^2{v}^3}$
  C) T = $\frac{2v(1-v{)}^3-a^4{v}^3}{2a^3{v}^3+(1-v{)}^2}$
  D) $\frac{2v(1-v{)}^3-a^4{v}^3}{2a^3{v}^3-(1-v{)}^3}$
  Show Answer
  The correct answer is D .