WAEC - Mathematics (2012)

  • 1
    Express 302.10495 correct to five significant figures
    Одговорити
    (A)
    302.10
  • 2
    Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
    Одговорити
    (D)
    2\(\sqrt{5}\)
  • 3
    In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y
    Одговорити
    (B)
    15:17
  • 4
    Convert 3510 to number in base 2
    Одговорити
    (C)
    100011
  • 5
    The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6
    Одговорити
    (C)
    -16
  • 6
    Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?
    Одговорити
    (A)
    25m/s
  • 7
    If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged
    Одговорити
    (D)
    10%
  • 8
    Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
    Одговорити
    (A)
    5
  • 9
    Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
    Одговорити
    (C)
    6(3k - 1)
  • 10
    Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
    Одговорити
    (D)
    p = \(\frac{2qr - rs}{6}\)
  • 11
    If x + y = 2y - x + 1 = 5, find the value of x
    Одговорити
    (B)
    2
  • 12
    The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation
    Одговорити
    (D)
    5n - 33 = 0
  • 13
    Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
    Одговорити
    (C)
    m \(\leq - \frac{1}{11}\)
  • 14
    The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
    Одговорити
    (A)
    14cm
  • 15
    The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
    Одговорити
    (B)
    252o
  • 16
    In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
    Одговорити
    (D)
    /YZ/2 = /XZ/2 + /XY/2
  • 17
    If cos(x + 40)o = 0.0872, what is the value of x?
    Одговорити
    (D)
    45o
  • 18
    A kite flies on a taut string of length 50m inclined at tan angle 54o to the horizontal ground. The height of the kite above the ground is
    Одговорити
    (B)
    50 sin 54o
  • 19
    Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores
    Одговорити
    (C)
    5
  • 20
    A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours
    Одговорити
    (A)
    \(\frac{8}{15}\)
  • 21
    Which of these statements about y = \(\sqrt{8m}\) is correct?
    Одговорити
    (D)
    log y = \(\frac{3}{2}\) log 2 + \(\frac{1}{2}\) log m
  • 22
    If x + 0.4y = 3 and y = \(\frac{1}{2}\)x, find the value of (x + y)
    Одговорити
    (C)
    3\(\frac{3}{4}\)
  • 23
    Express 3 - [\(\frac{x - y}{y}\)] as a single fraction
    Одговорити
    (C)
    \(\frac{4y - x}{y}\)
  • 24
    If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q
    Одговорити
    (D)
    {2,3,5,7}
  • 25
    Alfred spent \(\frac{1}{4}\) of his money on food, \(\frac{1}{3}\) on clothing and save the rest. If he saved N72,20.00, how much did he spend on food?
    Одговорити
    (A)
    N43,200.00
  • 26
    Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)
    Одговорити
    (A)
    \(\frac{10}{9}\)
  • 27
    The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?
    Одговорити
    (B)
    12
  • 28
    Find the coefficient of m in the expression of (\(\frac{m}{2} - 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))
    Одговорити
    (D)
    -1\(\frac{1}{6}\)
  • 29
    The volume of a cuboid is 54cm3. If the length, width and height of the cuboid are in the ratio 2:1:1 respectively, find its total surface area
    Одговорити
    (B)
    90cm2
  • 30
    A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area
    Одговорити
    (D)
    96cm2
  • 31
    Factorise completely: 32x2y - 48x3y3
    Одговорити
    (A)
    16x2y(2 - 3xy2)
  • 32
    If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?
    Одговорити
    (B)
    y = \(\frac{k}{x}\)
  • 33
    If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?
    Одговорити
    (B)
    y = \(\frac{k}{x}\)
  • 34
    In the diagram, |QR| = 10m, |SR| = 8m

    < QPS = 30o, < QRP = 90o and |PS| = x, Find x
    Одговорити
    (C)
    9.32m
  • 35
    In the diagram, O is a circle centre of the circle PQRS and < PSR = 86o. If < PQR = xo, find x
    Одговорити
    (B)
    172o
  • 36
    The diagram is a circle centre O. If < SPR = 2m and < SQR = n, express m in terms of n
    Одговорити
    (A)
    m = \(\frac{n}{2}\)
  • 37
    In the diagram, MQ//RS, < TUV = 70o and < RLV = 30o. Find the value of x
    Одговорити
    (C)
    100o
  • 38

    Is the diagram, MN, PQ and RS are three intersecting straight lines. Which of the following statements is/are true? i. t = y ii. x + y + z + m = 180o iii. x + m + n = 180o iv. x + n = m + z

    Одговорити
    (C)
    iii
  • 39

    The position of three ships P,Q and R at sea are illustrated in the diagram. The arrows indicated the North direction. The bearing of Q from P is 050o and < PQR = 72o. Calculate the bearing of R and Q

    Одговорити
    (C)
    158o
  • 40
    The bar chart shows the frequency distribution of marks scored by students in a class test. How many students are in the class?
    Одговорити
    (C)
    25
  • 41
    The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution.
    Одговорити
    (C)
    2.4
  • 42
    The bar chart shows the frequency distribution of marks scored by students in a class test. What is the median of the distribution?
    Одговорити
    (A)
    2
  • 43
    The graph is that of y = 2x2 - 5x - 3. For what value of x will y be negative? What is the gradient of y = 2x2 - 5x - 3 at the point x = 4?
    Одговорити
    (A)
    11.1
  • 44

    In the diagram, MN//PO, < PMN = 112º, < PNO = 129º, < NOP = 37º and < MPN = yo. Find the value of y

    Одговорити
    (B)
    54o
  • 45
    The diagram is a circle with centre P. PRST are points on the circle. Find the value of < PRS
    Одговорити
    (A)
    144o