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 551: The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages. Options:
  A) 6.1
  B) 4.8
  C) 2.9
  D) 2.1
  E) 1.9
  Show Answer
  The correct answer is C .
• Question 552: Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$ Options:
  A) 17 - $\sqrt{7}$
  B) 4 - $\sqrt{7}$
  C) 15 - $\sqrt{7}$
  D) 7 - $\sqrt{7}$
  Show Answer
  The correct answer is B .
• Question 553: 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 554: A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold Options:
  A) 48 cm³
  B) 33 cm³
  C) 60 cm³
  D) 27 cm³
  Show Answer
  The correct answer is B .
• Question 555: 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 556: Four boys and ten girls can cut a field in 5 hours if the boys work at $\frac{5}{4}$ the rate at which the girls work. How many boys will be needed to cut the field in 3 hours? Options:
  A) 180
  B) 60
  C) 25
  D) 20
  Show Answer
  The correct answer is D .
• Question 557: The determinant of matrix $\left(\begin{array}{ccc}x& 1& 0\\ 1-x& 2& 3\\ 1& 1+x& 4\end{array}\right)$ in terms of x is Options:
  A) -3x² - 17
  B) -3x² + 9x - 1
  C) 3x² + 17
  D) 3x² - 9x + 5
  Show Answer
  The correct answer is B .
• Question 558: A binary operation $\ast$ is defined on a set of real numbers by x $\ast$ y = x^y for all real values of x and y. If x $\ast$ 2 = x. Find the possible values of x Options:
  A) 0, 1
  B) 1, 2
  C) 2, 2
  D) 0, 2
  Show Answer
  The correct answer is A .
• Question 559:

  Express the product of 0.0014 and 0.011 in standard form

  Options:
  A) 1.54 x 10${}^{-2}$
  B) 1.54 x 10${}^{-3}$
  C) 1.54 x 10${}^{-2}$
  D) 1.54 x 10${}^{-5}$
  Show Answer
  The correct answer is D .
• Question 560: Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour Options:
  A) $\frac{119}{144}$
  B) $\frac{95}{144}$
  C) $\frac{37}{72}$
  D) $\frac{49}{144}$
  E) $\frac{1}{6}$
  Show Answer
  The correct answer is C .