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 1931: 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 1932: 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 1933: What is the least possible value of $\frac{9}{1+2x^2}$ if 0 $\ge$ x $\ge$ 2? Options:
  A) 9
  B) 5
  C) 1
  D) 2
  Show Answer
  The correct answer is C .
• Question 1934: In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age? Options:
  A) 1981
  B) 1979
  C) 1982
  D) 1978
  Show Answer
  The correct answer is A .
• Question 1935:

  

  In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP.

  Options:
  A) 4cm
  B) 16cm
  C) 9cm
  D) 14cm
  E) Impossible, insufficient data
  Show Answer
  The correct answer is B .
• Question 1936: If $\sqrt{3^x}$ = $\sqrt{9}$ then the value of x is: Options:
  A) $\frac{3}{4}$
  B) $\frac{4}{3}$
  C) $\frac{1}{3}$
  D) $\frac{2}{3}$
  E) $\frac{1}{2}$
  Show Answer
  The correct answer is E .
• Question 1937: Multiply (3$\sqrt{a}$ - 4a) by (4a + 3$\sqrt{a}$) Options:
  A) 9a + 16a²
  B) 9a – 16a²
  C) 3a + 16a²
  D) 3a - 16a²
  E) a - 16a²
  Show Answer
  The correct answer is B .
• Question 1938: If x = (all prime factors of 44) and y = (all prime factors of 60), the elements of X ∪ Y and X ∩ Y respectively are Options:
  A) (2, 4, 3, 5, 11) and (4)
  B) (4, 3, 5, 11) and (3, 4)
  C) (2, 5, 11) and (2)
  D) (2, 3, 5, 11) and (2)
  Show Answer
  The correct answer is D .
• Question 1939:

  Given that log₄(y - 1) + log₄($\frac{1}{2}$x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

  Options:
  A) 2, 3
  B) 3, 2
  C) -2, -3
  D) -3, -2
  Show Answer
  The correct answer is C .
• Question 1940:

  

  From the cyclic quadrilateral MNOP above, find the value of x.

  Options:
  A) 16°
  B) 25°
  C) 42°
  D) 39°
  Show Answer
  The correct answer is D .