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 1311: A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is Options:
  A) commutative and close on the set of positive integers
  B) neither commutative nor closed on the set of ppositive integers
  C) commutative but not closed on the set of positive integers
  D) not cummutative but closed on the set of positive integers
  Show Answer
  The correct answer is B .
• Question 1312: If cos $\theta$ = $\frac{\sqrt{3}}{2}$ and $\theta$ is less than 90^o. Calculate cos$\frac{90-\theta }{si{n}^2\theta }$ Options:
  A) $\frac{4}{\sqrt{3}}$
  B) $\sqrt{\frac{3}{2}}$
  C) $\sqrt{\frac{76}{2}}$
  D) 4$\sqrt{\frac{76}{2}}$
  Show Answer
  The correct answer is A .
• Question 1313:

  

  Using $△$XYZ in the figure, find XYZ.

  Options:
  A) 29${}^{\circ }$
  B) 31${}^{\circ }$
  C) 31${}^{\circ }$ 20'
  D) 31${}^{\circ }$ 18'
  Show Answer
  The correct answer is D .
• Question 1314: The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus. Options:
  A) 96cm²
  B) 48cm²
  C) 24cm²
  D) 0.14cm²
  E) 12cm2
  Show Answer
  The correct answer is C .
• Question 1315:

  Evaluate the following limit: $li{m}_{x\to 2}\frac{x^2+4x-12}{x^2-2x}$

  Options:
  A) 4
  B) 8
  C) 0
  D) 2
  Show Answer
  The correct answer is A .
• Question 1316:

  The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

  Options:
  A) $\frac{\pi r}{3}$
  B) $\frac{\pi r}{2}$
  C) $\frac{\pi r}{12}$
  D) $\frac{\pi r}{6}$
  Show Answer
  The correct answer is A .
• Question 1317: 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 1318:

  Evaluate ∫${}_1^2$ $\frac{5}{x}$ dx

  Options:
  A) 1.47
  B) 2.67
  C) 3.23
  D) 3.47
  Show Answer
  The correct answer is D .
• Question 1319: If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ? Options:
  A) $\frac{14}{15}$
  B) $\frac{15}{29}$
  C) $\frac{13}{8}$
  D) $\frac{144}{15}$
  E) $\frac{24}{5}$
  Show Answer
  The correct answer is D .
• Question 1320: Factorize completely 9y² - 16X² Options:
  A) (3y - 2x)(3y + 4x)
  B) (3y + 4x)(3y + 4x)
  C) (3y + 2x)(3y - 4x)
  D) (3y - 4x)(3y + 4x)
  Show Answer
  The correct answer is D .