WAEC - Mathematics (2016)

  • 1
    If 23x + 101x = 130x, find the value of x
    Одговорити
    (D)
    4
  • 2
    Simplify: (\(\frac{3}{4} - \frac{2}{3}\)) x 1\(\frac{1}{5}\)
    Одговорити
    (C)
    \(\frac{1}{10}\)
  • 3
    Simplify:(\(\frac{10\sqrt{3}}{\sqrt{5}} - \sqrt{15}\))2
    Одговорити
    (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?
    Одговорити
    (C)
    180cm
  • 5
    Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?
    Одговорити
    (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.
    Одговорити
    (B)
    4cm2
  • 7
    Simplify; \(\frac{3^{n - 1} \times 27^{n + 1}}{81^{n}}\)
    Одговорити
    (B)
    9
  • 8
    What sum of money will amount to D10,400 in 5 years at 6% simple interest?
    Одговорити
    (A)
    D8,000.00
  • 9
    The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation
    Одговорити
    (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
    Одговорити
    (C)
    3, -7
  • 11
    Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?
    Одговорити
    (C)
    7
  • 12
    Simplify; \(\frac{2}{1 - x} - \frac{1}{x}\)
    Одговорити
    (B)
    \(\frac{3x - 1}{ x(1 - x)}\)
  • 13
    Make s the subject of the relation: P = S + \(\frac{sm^2}{nr}\)
    Одговорити
    (D)
    s = \(\frac{nrp}{nr + m^2}\)
  • 14
    Factorize; (2x + 3y)2 - (x - 4y)2
    Одговорити
    (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 \(\pi = \frac{22}{7}\)]
    Одговорити
    (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
    Одговорити
    (A)
    3
  • 17
    A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
    Одговорити
    (C)
    \(\frac{3}{2}\)
  • 18
    A straight line passes through the point P(1,2) and Q
    (5,8). Calculate the length PQ
    Одговорити
    (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 \(\theta\)
    Одговорити
    (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?
    Одговорити
    (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
    Одговорити
    (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.

    Одговорити
    (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
    Одговорити
    (B)
    45o
  • 24
    In the diagram, O is the centre of the circle, < XOZ = (10cm)o and < XWZ = mo. Calculate the value of m.
    Одговорити
    (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?
    Одговорити
    (C)
    7.5m
  • 26
    In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177o. Calculate < PST.
    Одговорити
    (A)
    54o
  • 27
    In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.
    Одговорити
    (C)
    72o
  • 28
    In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = \(\sqrt{3}\)cm. Find UTW
    Одговорити
    (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?
    Одговорити
    (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?
    Одговорити
    (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
    Одговорити
    (C)
    13
  • 32
    If log2(3x - 1) = 5, find x.
    Одговорити
    (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
    Одговорити
    (C)
    3
  • 34
    Express 1975 correct to 2 significant figures
    Одговорити
    (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.
    Одговорити
    (C)
    81cm2
  • 36
    The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]
    Одговорити
    (B)
    60o
  • 37
    Examine M' \(\cap\) N from the venn diagram
    Одговорити
    (A)
    {f, g}
  • 38
    If 20(mod 9) is equivalent to y(mod 6), find y.
    Одговорити
    (B)
    2
  • 39
    Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)
    Одговорити
    (A)
    \(\frac{1}{2}\)
  • 40
    In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o and < QSR. Calculate < SQR
    Одговорити
    (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
    Одговорити
    (C)
    \(\frac{20}{81}\)
  • 42
    The relation y = x2 + 2x + k passes through the point (2,0). Find the value of k
    Одговорити
    (A)
    - 8
  • 43
    Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...
    Одговорити
    (D)
    13, 21, 34
  • 44
    Find the lower quartile of the distribution illustrated by the cumulative frequency curve
    Одговорити
    (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?
    Одговорити
    (B)
    24