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 1371: 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 1372: Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression Options:
  A) 27
  B) 8
  C) 78
  D) 48
  Show Answer
  The correct answer is C .
• Question 1373: If 7 and 189 are the first and fourth terms of geometric progression respectively, find the sum of the first three terms of the progression Options:
  A) 182
  B) 91
  C) 63
  D) 28
  Show Answer
  The correct answer is B .
• Question 1374: Make y the subject of the formula Z = x² + $\frac{1}{y^3}$ Options:
  A) y = $\frac{1}{(z-x^2{)}^3}$
  B) y = $\frac{1}{(z+x^2)\frac{1}{3}}$
  C) y = $\frac{1}{(z{x}^2)\frac{1}{3}}$
  D) y = $3\sqrt{z-x^2}$
  Show Answer
  The correct answer is D .
• Question 1375:

  

  In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

  Options:
  A) 26°
  B) 13°
  C) 80°
  D) 102°
  Show Answer
  The correct answer is D .
• Question 1376: The quantity (x + y) is a factor of Options:
  A) x² + y²
  B) x³ - y³
  C) 2x² - 3xy + y² - x + 1
  D) 2x³ + 2x²y - xy + 3x - y² + 3y
  E) x⁵ - y⁵
  Show Answer
  The correct answer is D .
• Question 1377:

  A rectangular pyramid has an area 24cm${}^2$ and height 7.5cm. Find its volume?

  Options:
  A) 65.0cm${}^3$
  B) 70.5cm${}^3$
  C) 56.5cm${}^3$
  D) 60.0cm${}^3$
  Show Answer
  The correct answer is D .
• Question 1378: 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 .
• Question 1379:

  In how many ways can the letter of ZOOLOGY be arranged?

  Options:
  A) 720
  B) 360
  C) 840
  D) 120
  Show Answer
  The correct answer is C .
• Question 1380:

  Simplify $\frac{0.0839\times 6.381}{5.44}$ to 2 significant figures.

  Options:
  A) 0.2809
  B) 2.51
  C) 3.5
  D) 0.098
  Show Answer
  The correct answer is D .