WAEC - Mathematics (2016)

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

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