WAEC - Mathematics (2011)

  • 1
    If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira
    Одговорити
    (B)
    7.49
  • 2
    Solve for x in the equation; \(\frac{3}{5}\)(2x - 1) = \(\frac{1}{4}\)(5x - 3)
    Одговорити
    (D)
    3
  • 3
    Given that cos xo = \(\frac{1}{r}\), express tan x in terms of r
    Одговорити
    (D)
    \(\sqrt{r^2 - 1}\)
  • 4
    Solve the equation; 3x - 2y = 7, x + 2y = -3
    Одговорити
    (A)
    x = 1, y = -2
  • 5
    If a number is chosen at random from the set {x: 4 \(\leq x \leq 15\)}. Find the probability that it is a multiple of 3 or a multiple of 4
    Одговорити
    (A)
    \(\frac{1}{2}\)
  • 6
    One of the factors of (mn - nq - n\(^2\) + mq) is (m - n). The other factor is?
    Одговорити
    (C)
    (n + q)
  • 7
    A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take \(\pi = \frac{22}{7}\)]
    Одговорити
    (A)
    11
  • 8
    A regular polygon of n sides has each exterior angle to 45o. Find the value of n
    Одговорити
    (B)
    8
  • 9
    Esther was facing S 20° W. She turned 90° in the clock wise direction. What direction is she facing?
    Одговорити
    (A)
    N 70o W
  • 10
    The cross section section of a uniform prism is a right-angled triangle with sides 3cm. 4cm and 5cm. If its length is 10cm. Calculate the total surface area
    Одговорити
    (B)
    132cm2
  • 11
    From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)
    Одговорити
    (D)
    6x2 + x - 2 = 0
  • 12
    Simplify \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
    Одговорити
    (D)
    \(\frac{3}{4}\)
  • 13
    Which of these angles can be constructed using ruler and a pair of compasses only?
    Одговорити
    (C)
    135o
  • 14
    The perimeter of a sector of a circle of radius 4cm is (\(\pi + 8\))cm. Calculate the anle of the sector
    Одговорити
    (A)
    45o
  • 15
    The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error
    Одговорити
    (D)
    \(\frac{20}{7}\)%
  • 16
    What is the value of 3 in the number 42.7531?
    Одговорити
    (B)
    \(\frac{3}{1000}\)
  • 17
    The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi\) m\(^3\). Calculate the radius.
    Одговорити
    (B)
    0.60m
  • 18
    The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi m^3\) Calculate the radius.
    Одговорити
    (B)
    0.60m
  • 19
    What is the value of 3 in the number 42.7531?
    Одговорити
    (B)
    \(\frac{3}{1000}\)
  • 20
    Factorize the expression: am + bn - an - bm
    Одговорити
    (B)
    (a - b)(m - n)
  • 21
    The graph represents the relation y = xo2 - 3x - 3. Find the value of x for which x2 - 3x = 7
    Одговорити
    (A)
    -1.55, 4.44
  • 22
    Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0
    Одговорити
    (B)
    \(\frac{11m}{10n}\)
  • 23
    If \(\sqrt{72} + \sqrt{32} - 3 \sqrt{18} = x \sqrt{8}\), Find the value of x
    Одговорити
    (C)
    \(\frac{1}{2}\)
  • 24
    G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
    Одговорити
    (A)
    15
  • 25
    Given that n(p) = 19, m(P \(\cup\) Q) = 38 and n(P \(\cap\) Q) = 7, Find n(C)
    Одговорити
    (A)
    26
  • 26
    What must be added to (2x - 3y) to get (x - 2y)?
    Одговорити
    (B)
    y - x
  • 27
    Simplify 1\(\frac{3}{4} - (2 \frac{1}{3} + 4)\)
    Одговорити
    (C)
    -4 \(\frac{7}{12}\)
  • 28
    Find the smaller value of x that satisfies the equation x\(^2\) + 7x + 10 = 0
    Одговорити
    (A)
    -5
  • 29
    The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect
    Одговорити
    (C)
    inside the triangle
  • 30
    A rectangular garden measures 18.6m by 12.5m. Calculate, correct to three significant figures, the area of the garden
    Одговорити
    (D)
    233m2
  • 31
    John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
    Одговорити
    (A)
    11cm
  • 32
    John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
    Одговорити
    (A)
    11cm
  • 33
    in a quiz competition, a student answers n questions correctly and was given D(n + 50) for each question correctly answered. If he gets D600.00 altogether, how many questions did he answer correctly?
    Одговорити
    (D)
    10
  • 34
    If 27x = 9y. Find the value of \(\frac{x}{y}\)
    Одговорити
    (B)
    \(\frac{2}{3}\)
  • 35
    a boy looks through a window of a building and sees a mango fruit on the ground 50m away from the foot of the building. If the window is 9m from the ground, calculate, correct to the nearest degree, the angle of depression of the mango from the window
    Одговорити
    (B)
    10o
  • 36

    The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?

    Одговорити
    (B)
    \(\bigtriangleup\) PKS
  • 37
    In the diagram, PO and OR are radii, |PQ| = |QR| and reflex < PQR is 240o. Calculate the value x
    Одговорити
    (A)
    60o
  • 38
    Find the size of the angle marked x in the diagram.
    Одговорити
    (C)
    128o
  • 39
    The histogram shows the age distribution of members of a club. How many members are in the club?
    Одговорити
    (A)
    52
  • 40
    The histogram shows the age distribution of members of a club. What is their modal age?
    Одговорити
    (A)
    44.5
  • 41
    In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the size of < MQR?
    Одговорити
    (B)
    120o
  • 42

    The graph represents the relation y = x\(^2\) - 3x - 3. What is the equation of the line of symmetry of the graph?

    Одговорити
    (C)
    x = 1.5
  • 43
    from the diagram, Which of the following statements are true? i. m = q ii. n = q iii. n + p = 180o iv. p + m = 180o
    Одговорити
    (A)
    i and iii
  • 44
    In the diagram, STUV is a straight line. < TSY = < UXY = 40o and < VUW = 110o. Calculate < TYW
    Одговорити
    (A)
    150o
  • 45
    The venn diagram shows the number of students in a class who like reading(R), dancing(D) and swimming(S). How many students like dancing and swimming?
    Одговорити
    (A)
    7