WAEC - Mathematics (2012)

  • 1
    Express 302.10495 correct to five significant figures
    คำตอบ
    (A)
    302.10
  • 2
    Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
    คำตอบ
    (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
    คำตอบ
    (B)
    15:17
  • 4
    Convert 3510 to number in base 2
    คำตอบ
    (C)
    100011
  • 5
    The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6
    คำตอบ
    (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?
    คำตอบ
    (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
    คำตอบ
    (D)
    10%
  • 8
    Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
    คำตอบ
    (A)
    5
  • 9
    Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
    คำตอบ
    (C)
    6(3k - 1)
  • 10
    Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
    คำตอบ
    (D)
    p = \(\frac{2qr - rs}{6}\)
  • 11
    If x + y = 2y - x + 1 = 5, find the value of x
    คำตอบ
    (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
    คำตอบ
    (D)
    5n - 33 = 0
  • 13
    Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
    คำตอบ
    (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 \(\pi = \frac{22}{7}\)]`
    คำตอบ
    (A)
    14cm
  • 15
    The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
    คำตอบ
    (B)
    252o
  • 16
    In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
    คำตอบ
    (D)
    /YZ/2 = /XZ/2 + /XY/2
  • 17
    If cos(x + 40)o = 0.0872, what is the value of x?
    คำตอบ
    (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
    คำตอบ
    (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
    คำตอบ
    (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
    คำตอบ
    (A)
    \(\frac{8}{15}\)
  • 21
    Which of these statements about y = \(\sqrt{8m}\) is correct?
    คำตอบ
    (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)
    คำตอบ
    (C)
    3\(\frac{3}{4}\)
  • 23
    Express 3 - [\(\frac{x - y}{y}\)] as a single fraction
    คำตอบ
    (C)
    \(\frac{4y - x}{y}\)
  • 24
    If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q
    คำตอบ
    (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?
    คำตอบ
    (A)
    N43,200.00
  • 26
    Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)
    คำตอบ
    (A)
    \(\frac{10}{9}\)
  • 27
    The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?
    คำตอบ
    (B)
    12
  • 28
    Find the coefficient of m in the expression of (\(\frac{m}{2} - 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))
    คำตอบ
    (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
    คำตอบ
    (B)
    90cm2
  • 30
    A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area
    คำตอบ
    (D)
    96cm2
  • 31
    Factorise completely: 32x2y - 48x3y3
    คำตอบ
    (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?
    คำตอบ
    (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?
    คำตอบ
    (B)
    y = \(\frac{k}{x}\)
  • 34
    In the diagram, |QR| = 10m, |SR| = 8m

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

    คำตอบ
    (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

    คำตอบ
    (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?
    คำตอบ
    (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.
    คำตอบ
    (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?
    คำตอบ
    (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?
    คำตอบ
    (A)
    11.1
  • 44

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

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