WAEC - Mathematics (2016)

  • 1
    If 23x + 101x = 130x, find the value of x
    Хариулт
    (D)
    4
  • 2
    Simplify: (\(\frac{3}{4} - \frac{2}{3}\)) x 1\(\frac{1}{5}\)
    Хариулт
    (C)
    \(\frac{1}{10}\)
  • 3
    Simplify:(\(\frac{10\sqrt{3}}{\sqrt{5}} - \sqrt{15}\))2
    Хариулт
    (B)
    15.00
  • 4
    The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?
    Хариулт
    (C)
    180cm
  • 5
    Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?
    Хариулт
    (C)
    Joseph is a Nigerian footballer therefore he is a good footballer
  • 6
    On a map, 1cm represent 5km. Find the area on the map that represents 100km2.
    Хариулт
    (B)
    4cm2
  • 7
    Simplify; \(\frac{3^{n - 1} \times 27^{n + 1}}{81^{n}}\)
    Хариулт
    (B)
    9
  • 8
    What sum of money will amount to D10,400 in 5 years at 6% simple interest?
    Хариулт
    (A)
    D8,000.00
  • 9
    The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation
    Хариулт
    (A)
    21x2 - 19x - 12 = 0
  • 10
    Find the values of y for which the expression \(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\) is undefined
    Хариулт
    (C)
    3, -7
  • 11
    Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?
    Хариулт
    (C)
    7
  • 12
    Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
    Хариулт
    (B)
    \(\frac{3x - 1}{ x(1 - x)}\)
  • 13
    Make s the subject of the relation: P = S + \(\frac{sm^2}{nr}\)
    Хариулт
    (D)
    s = \(\frac{nrp}{nr + m^2}\)
  • 14
    Factorize; (2x + 3y)2 - (x - 4y)2
    Хариулт
    (A)
    (3x - y)(x + 7y)
  • 15
    The curve surface area of a cylinder, 5cm high is 110cm 2. Find the radius of its base. [Take \(\pi = \frac{22}{7}\)]
    Хариулт
    (B)
    3.5cm
  • 16
    The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimension xcm by 6cm, find the value of x
    Хариулт
    (A)
    3
  • 17
    A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
    Хариулт
    (C)
    \(\frac{3}{2}\)
  • 18
    A straight line passes through the point P(1,2) and Q
    (5,8). Calculate the length PQ
    Хариулт
    (D)
    \(2\sqrt{13}\)
  • 19
    If cos \(\theta\) = x and sin 60o = x + 0.5 0o < \(\theta\) < 90o, find, correct to the nearest degree, the value of \(\theta\)
    Хариулт
    (D)
    69o
  • 20
    \(\begin{array}{c|c}
    Age(years) & 13 & 14 & 15 & 16 & 17 \\
    \hline
    Frequency & 10 & 24 & 8 & 5 & 3
    \end{array}\)

    The table shows the ages of students in a club. How many students are in the club?
    Хариулт
    (A)
    50
  • 21
    \(\begin{array}{c|c}
    Age(years) & 13 & 14 & 15 & 16 & 17 \\
    \hline
    Frequency & 10 & 24 & 8 & 5 & 3
    \end{array}\)
    Find the median age
    Хариулт
    (B)
    14
  • 22

    In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50º. Find the value of < UXY.

    Хариулт
    (B)
    80o
  • 23
    In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ
    Хариулт
    (B)
    45o
  • 24
    In the diagram, O is the centre of the circle, < XOZ = (10cm)o and < XWZ = mo. Calculate the value of m.
    Хариулт
    (A)
    30
  • 25
    Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?
    Хариулт
    (C)
    7.5m
  • 26
    In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177o. Calculate < PST.
    Хариулт
    (A)
    54o
  • 27
    In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.
    Хариулт
    (C)
    72o
  • 28
    In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = \(\sqrt{3}\)cm. Find UTW
    Хариулт
    (C)
    75o
  • 29
    The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?
    Хариулт
    (C)
    Le 3,600,000.00
  • 30
    A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?
    Хариулт
    (B)
    \(\frac{1}{6}\)
  • 31
    The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range
    Хариулт
    (C)
    13
  • 32
    If log2(3x - 1) = 5, find x.
    Хариулт
    (D)
    11
  • 33
    A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
    Хариулт
    (C)
    3
  • 34
    Express 1975 correct to 2 significant figures
    Хариулт
    (D)
    2,000
  • 35
    The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of \(\Delta\) QNP = 6cm, calculate the area of the trapezium.
    Хариулт
    (C)
    81cm2
  • 36
    The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]
    Хариулт
    (B)
    60o
  • 37
    Examine M' \(\cap\) N from the venn diagram
    Хариулт
    (A)
    {f, g}
  • 38
    If 20(mod 9) is equivalent to y(mod 6), find y.
    Хариулт
    (B)
    2
  • 39
    Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)
    Хариулт
    (A)
    \(\frac{1}{2}\)
  • 40
    In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o and < QSR. Calculate < SQR
    Хариулт
    (A)
    20o
  • 41
    A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue
    Хариулт
    (C)
    \(\frac{20}{81}\)
  • 42
    The relation y = x2 + 2x + k passes through the point (2,0). Find the value of k
    Хариулт
    (A)
    - 8
  • 43
    Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...
    Хариулт
    (D)
    13, 21, 34
  • 44
    Find the lower quartile of the distribution illustrated by the cumulative frequency curve
    Хариулт
    (B)
    19.0
  • 45
    The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
    Хариулт
    (B)
    24