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 2061: 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 2062: The solution of the quadratic inequality (x³ + x - 12) ≥ 0 is Options:
  A) x ≥ -3 or x ≤ 4
  B) x ≥ 3 or x ≥ -4
  C) x ≤ 3 or x v -4
  D) x ≥ 3 or x ≤ -4
  Show Answer
  The correct answer is B .
• Question 2063: Find the radius of a sphere whose surface area is 154 cm² Options:
  A) 7.00 cm
  B) 3.50 cm
  C) 3.00 cm
  D) 1.75 cm
  Show Answer
  The correct answer is B .
• Question 2064:

  Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  Options:
  A) 210
  B) 1050
  C) 21400
  D) 25200
  Show Answer
  The correct answer is A .
• Question 2065: Obi borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months, how much does he still owe? Options:
  A) ₦10.80
  B) ₦10.65
  C) ₦2.80
  D) ₦2.67
  Show Answer
  The correct answer is C .
• Question 2066:

  

  In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?

  Options:
  A) 360${}^{\circ }$
  B) 200${}^{\circ }$
  C) 180${}^{\circ }$
  D) 90${}^{\circ }$
  Show Answer
  The correct answer is A .
• Question 2067:

  

  The shaded region in the Venn diagram above is

  Options:
  A) P^c ∪ (Q ∩ R)
  B) P^c ∩ (Q ∪ R)
  C) P ∩ Q
  D) P^c ∩ (Q ∩ R)
  Show Answer
  The correct answer is D .
• Question 2068: 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 2069: Simplify the given expression $\sqrt{\frac{1-cosx}{1+cosx}}$ Options:
  A) $\frac{1-cosx}{sinx}$
  B) 1 - cos x
  C) sin x
  D) 1 + cos x
  E) $\frac{1+cosx}{sinx}$
  Show Answer
  The correct answer is A .
• Question 2070:

  200 tickets were sold for a show. VIP tickets costs ₦1,200 and ₦700 for regular. Total amount realised from the sale of the tickets was ₦180,000. Find the number of VIP tickets sold and the the number of regular ticket sold.

  Options:
  A) VIP = 80, Regular = 100
  B) VIP = 60, Regular = 120
  C) VIP = 60, Regular = 100
  D) VIP = 80, Regular = 120
  Show Answer
  The correct answer is D .