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 581:

  

  In the figure, the line segment ST is tangent to two circles at S and T. O and Q are the centres of the circles with OS = 5cm. QT = 2cm and OR = 14cm. Find ST

  Options:
  A) 7 $\sqrt{3}$cm
  B) 12.9cm
  C) $\sqrt{87}$cm
  D) 7cm
  Show Answer
  The correct answer is B .
• Question 582: Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135° Options:
  A) 271.5cm²
  B) 135.8cm²
  C) 96.0cm²
  D) 48.0cm²
  E) 33.9cm²
  Show Answer
  The correct answer is E .
• Question 583: Find the acute angle between the straight lines y = x and y = √3x Options:
  A) 15${}^{\circ }$
  B) 30${}^{\circ }$
  C) 45${}^{\circ }$
  D) 60${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 584: A rectangular polygon of (2k + 1) sides has 140^o as the size of each interior angle. Find k Options:
  A) 4
  B) 4$\frac{1}{2}$
  C) 8
  D) 8$\frac{1}{2}$
  Show Answer
  The correct answer is A .
• Question 585:

  If w varies inversely as $\frac{uv}{u+v}$ and w =8 when

  u = 2 and v= 6, find a relationship between u, v, w.

  Options:
  A) uvw = 16(u + v)
  B) 16uv = 3w(u + v)
  C) uvw = 12(u + v)
  D) 12uvw = u + v
  Show Answer
  The correct answer is C .
• Question 586:

  Given that I₃ is a unit matrix of order 3, find |I₃|

  Options:
  A) -1
  B) 0
  C) 1
  D) 2
  Show Answer
  The correct answer is C .
• Question 587: A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article Options:
  A) N3450.00
  B) N3910.00
  C) N4000.00
  D) N5290.00
  E) N6900.00
  Show Answer
  The correct answer is C .
• Question 588:

  A room is12m 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) $\frac{8}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 589: The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test? Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{4}{15}$
  D) $\frac{1}{5}$
  E) $\frac{2}{15}$
  Show Answer
  The correct answer is C .
• Question 590: 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 .