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 41:

  

  In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?

  Options:
  A) QS = PS$\sqrt{SR}$
  B) QS = $\sqrt{(PSSR)}$
  C) QS = 2$\sqrt{(PSSR)}$
  D) QS = $\frac{1}{\sqrt{2}}$$\sqrt{(PSSR)}$
  Show Answer
  The correct answer is B .
• Question 42: The binary operation $\oplus$ defined on the set of real numbers is such that x $\oplus$ y = $\frac{xy}{6}$ for all x, y $ϵ$ R. Find the inverse of 20 under this operation when the identity element is 6 Options:
  A) $\frac{9}{5}$
  B) $\frac{1}{20}$
  C) $\frac{10}{3}$
  D) $\frac{1}{12}$
  Show Answer
  The correct answer is B .
• Question 43: Tunde and Shola can do a piece of work in 18 days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x? Options:
  A) x² - 5x - 10 = 0
  B) x² - 20x + 360 = 0
  C) x² - 21x - 270 = 0
  D) 3x² - 65x + 362 = 0
  Show Answer
  The correct answer is C .
• Question 44: A student spent ¹/₅of his allowance on books, ¹/₂ of remainder on food and kept the rest for contingencies. What fraction was kept? Options:
  A) ⁷/₁₅
  B) ⁸/₁₅
  C) ²/₅
  D) ⁴/₅
  Show Answer
  The correct answer is C .
• Question 45: The probability of an event P is $\frac{3}{4}$ while that of another event Q is $\frac{1}{6}$. If the probability of both P and Q is $\frac{1}{2}$. What is the probability of either P or Q. Options:
  A) $\frac{1}{96}$
  B) $\frac{1}{8}$
  C) $\frac{5}{6}$
  D) $\frac{11}{12}$
  Show Answer
  The correct answer is C .
• Question 46:

  The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is ₦7200?

  Options:
  A) ₦1000
  B) ₦2000
  C) ₦3000
  D) ₦4000
  Show Answer
  The correct answer is B .
• Question 47:

  In a triangle PQT, QR = $\sqrt{3cm}$, PR = 3cm, PQ = $2\sqrt{3}$cm and PQR = 30^o. Find angles P and R

  Options:
  A) P = 60^o and R = 90^o
  B) P = 30^o and R = 120^o
  C) P = 90^o and R = 60^o
  D) P = 60^o and R 60^o
  E) P = 45^o and R = 105^o
  Show Answer
  The correct answer is A .
• Question 48: Solve the inequality x² + 2x > 15.
  Options:
  A) x < -3 or x > 5
  B) -5 < x < 3
  C) x < 3 or x > 5
  D) x > 3 or x < -5
  Show Answer
  The correct answer is D .
• Question 49: If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩ Y ∪ Z Options:
  A) (p, o, u, r)
  B) (s, p, d, r)
  C) (p, n, d)
  D) (n, d, u)
  Show Answer
  The correct answer is C .
• Question 50:

  

  In the figure, PQRS is a square of sides 8cm. What is the area of $△$UVW?

  Options:
  A) 64 sq. cm
  B) 40 sq.cm
  C) 50 sq.cm
  D) 10 sq.cm
  Show Answer
  The correct answer is D .