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 501: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 502: For what value of x does 6 sin (2x - 25)^o attain its maximum value in the range 0^o $\le$ x $\le$ 180^o Options:
  A) 12$\frac{1}{2}$
  B) 32$\frac{1}{2}$
  C) 57$\frac{1}{2}$
  D) 147$\frac{1}{2}$
  Show Answer
  The correct answer is C .
• Question 503:

  

  In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH.

  Options:
  A) 16 cm
  B) 20 cm
  C) 26 cm
  D) 32 cm
  Show Answer
  The correct answer is D .
• Question 504: 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 505: Find the value of x for which 2(3^{2x - 1}) = 162 Options:
  A) $\frac{3}{2}$
  B) $\frac{1}{2}$
  C) $\frac{5}{2}$
  D) $\frac{2}{5}$
  Show Answer
  The correct answer is C .
• Question 506: Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2950, find y. Options:
  A) 51
  B) 48
  C) 30
  D) 25
  E) 18
  Show Answer
  The correct answer is C .
• Question 507: The locus of a dog tethered to a pole with a rope of 4m is a Options:
  A) circle with diameter 4m
  B) circle with radius 4m
  C) semi-circle with diameter 4m
  D) semi-circle with radius 4m
  Show Answer
  The correct answer is B .
• Question 508: For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms Options:
  A) 157
  B) 187
  C) 197
  D) 200
  Show Answer
  The correct answer is B .
• Question 509: Convert 241 in base 5 to base 8, Options:
  A) 71₈
  B) 107₈
  C) 176₈
  D) 241₈
  Show Answer
  The correct answer is B .
• Question 510:

  Given that log₄(y - 1) + log₄($\frac{1}{2}$x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

  Options:
  A) 2, 3
  B) 3, 2
  C) -2, -3
  D) -3, -2
  Show Answer
  The correct answer is C .