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 1531: Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35^o,find ∠PQS Options:
  A) 35^o
  B) 45^o
  C) 55^o
  D) 70^o
  E) 90^o
  Show Answer
  The correct answer is C .
• Question 1532: If the operation * on the set of integers is defined by p * Q = $\sqrt{pq}$, find the value of 4 * ( 8 * 32). Options:
  A) 8
  B) 3
  C) 16
  D) 4
  Show Answer
  The correct answer is A .
• Question 1533: 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 1534: A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group? Options:
  A) 25
  B) 19
  C) 18
  D) 17
  Show Answer
  The correct answer is A .
• Question 1535: In $△$ XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = $\theta$. Find cos$\theta$^o Options:
  A) $\frac{4}{39}$
  B) $\frac{43}{39}$
  C) $\frac{209}{3}$
  D) $\frac{43}{78}$
  Show Answer
  The correct answer is D .
• Question 1536: Evaluate $\frac{(18{)}^{\frac{3}{4}}-(27{)}^3}{3\times 2^3}$ Options:
  A) 27
  B) 1
  C) $\frac{1}{3}$
  D) $\frac{1}{8}$
  Show Answer
  The correct answer is B .
• Question 1537: Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77 Options:
  A) 25.12
  B) 25.30
  C) 25.26
  D) 25.50
  E) 25.75
  Show Answer
  The correct answer is C .
• Question 1538:

  The table below is drawn for a graph y = x³ - 3x + 1.

  $\begin{array}{cccccccc}x& -3& -2& -1& 0& 1& 2& 3\\ y=x^3-3x+1& 1& -1& 3& 1& -1& 3& 1\end{array}$

  From x = -2 to x = 1, the graph crosses the x-axis in the range(s)

  Options:
  A) -1 < x < 0 and 0 < x < 1
  B) -2 < x < -1 and 0 < x < 1
  C) -2 < x < -1 and -1 < x < 0
  D) 0 < x < 1
  Show Answer
  The correct answer is B .
• Question 1539: The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST. Options:
  A) πr/6
  B) πr/2
  C) πr/12
  D) πr/3
  Show Answer
  The correct answer is D .
• Question 1540: Find the acute angle between the straight lines y = x and y = √3x Options:
  A) 15${}^{\circ }$
  B) 30${}^{\circ }$
  C) 45${}^{\circ }$
  D) 60${}^{\circ }$
  Show Answer
  The correct answer is A .