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: 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 502: OGIVE is constructed using Options:
  A) Third quartile range
  B) Semi-quartile range
  C) Cummulative frequency table
  D) Inter-quartile table
  Show Answer
  The correct answer is C .
• Question 503:

  Score (x)	0	1	2	3	4	5	6
  Freq (f)	5	7	3	7	11	6	7

  Find the variance

  Options:
  A) 3.42
  B) 4.69
  C) 4.85
  D) 3.72
  Show Answer
  The correct answer is D .
• Question 504:

  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 505: 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 506: 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 507: The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is Options:
  A) $\frac{1}{2}$
  B) $\frac{2}{5}$
  C) $-\frac{4}{7}$
  D) $-\frac{2}{3}$
  Show Answer
  The correct answer is C .
• Question 508: 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 509: Simplify 1¼ ÷ (2 ÷ ¼ of 28) Options:
  A) 1 $\frac{3}{8}$
  B) 2 $\frac{3}{4}$
  C) 4 $\frac{3}{8}$
  D) 3 $\frac{1}{5}$
  Show Answer
  The correct answer is C .
• Question 510: A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to $\frac{2}{5}$ Options:
  A) 4
  B) 20
  C) 24
  D) 40
  Show Answer
  The correct answer is A .