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 991: If x + $\frac{1}{x}$ = 4, find x² + $\frac{1}{x^2}$ Options:
  A) 16
  B) 14
  C) 12
  D) 9
  Show Answer
  The correct answer is B .
• Question 992: In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes Options:
  A) 2.5
  B) 56.0
  C) 56.2
  D) 56.3
  E) 6.5
  Show Answer
  The correct answer is B .
• Question 993: Simplify $\frac{(2m-u{)}^2-(m-2u{)}^2}{5m^2-5u^2}$ Options:
  A) $\frac{3}{5}$
  B) $\frac{2}{5}$
  C) $\frac{2m-u}{5m+u}$
  D) $\frac{m-2u}{m+5u}$
  Show Answer
  The correct answer is A .
• Question 994:

  A room is 12m 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) $\frac{9}{17}$
  C) $\frac{8}{15}$
  D) $\frac{12}{17}$
  Show Answer
  The correct answer is A .
• Question 995:

  

  In the figure, PS bisects angle QPR. Find the ratio SR:QR.

  Options:
  A) 1:2
  B) 1:3
  C) 1:4
  D) 1:5
  E) 1:6
  Show Answer
  The correct answer is C .
• Question 996:

  At what value of x is the function y = x${}^2$ - 2x -3 minimum?

  Options:
  A) 1
  B) -1
  C) -4
  D) 4
  Show Answer
  The correct answer is A .
• Question 997:

  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 998: A man sells his new brand car for ₦420,000 at a gain of 15%. What did it cost him? Options:
  A) ₦410,000
  B) ₦365,217
  C) ₦157,250
  D) ₦257,000
  Show Answer
  The correct answer is B .
• Question 999: A rectangular lawn has an area of 1815 square yards. if its length is 50 meters, find its width in meters given that 1 metre equals 1.1 yards Options:
  A) 39.93
  B) 35.00
  C) 33.00
  D) 30.00
  Show Answer
  The correct answer is C .
• Question 1000: On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr Options:
  A) 1$\frac{2}{3}$
  B) 2
  C) 5
  D) 6
  E) 10
  Show Answer
  The correct answer is C .