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 1391: x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6? Options:
  A) $\frac{5}{6}$
  B) 11
  C) 3$\frac{3}{5}$
  D) 2$\frac{1}{2}$
  E) 1$\frac{1}{5}$
  Show Answer
  The correct answer is D .
• Question 1392:

  

  In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50^o. Calculate ∠OPQ.

  Options:
  A) 160^o
  B) 140^o
  C) 120^o
  D) 100^o
  Show Answer
  The correct answer is D .
• Question 1393:

  

  In the diagram above, QR is in the diameter of the semicircle QR. Find the areas of the figure to the nearest whole number.

  Options:
  A) 89 cm²
  B) 70 cm²
  C) 90 cm²
  D) 80 cm²
  Show Answer
  The correct answer is C .
• Question 1394: Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰ Options:
  A) p⁵
  B) p⁴
  C) p³
  D) p^-3
  E) p^-5
  Show Answer
  The correct answer is E .
• Question 1395:

  If the volume of a frustrum is given as $V=\frac{\pi h}{3}(R^2+Rr+r^2)$, find $\frac{\mathrm{d}V}{\mathrm{d}R}$.

  Options:
  A) $\frac{\pi h}{3}(2R+r)$
  B) $2R+r+\frac{\pi h}{3}$
  C) $\frac{\pi h}{3}(2R^2+r+2r)$
  D) $\frac{2R^2}{3}\pi h$
  Show Answer
  The correct answer is A .
• Question 1396: In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k, Find the cost for 50 people? Options:
  A) 15k
  B) 20k
  C) 50k
  D) 40k
  E) 45k
  Show Answer
  The correct answer is C .
• Question 1397: y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10. Options:
  A) 2
  B) 10
  C) 1/5
  D) 1/10
  Show Answer
  The correct answer is C .
• Question 1398: John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first Options:
  A) ₦45.00
  B) ₦48.00
  C) ₦52.00
  D) ₦60.00
  E) ₦52.00
  Show Answer
  The correct answer is A .
• Question 1399: The numbers 3, 2, 8, 5, 7, 12, 9 and 14 are the marks scored by a group of students in a class test. If P is scored by an group of students in a class test. If P is the mean and Q the median, the P + Q is Options:
  A) 18
  B) 17$\frac{1}{2}$
  C) 16
  D) 15
  Show Answer
  The correct answer is D .
• Question 1400: If y = $(x^2+3x-1)÷(3x+4).$ Find dy/dx Options:
  A) $(3x^2+8x+7)÷(3x+4{)}^2$
  B) $x^2+2x+(1÷(x+1{)}^2)$
  C) $2x^2+4x+(1÷(2x+4{)}^2)$
  D) $x^2+3x+(2÷(x+3{)}^2)$
  Show Answer
  The correct answer is A .