WAEC - Mathematics (2011)

  • 1
    If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira
    Хариулт
    (B)
    7.49
  • 2
    Solve for x in the equation; \(\frac{3}{5}\)(2x - 1) = \(\frac{1}{4}\)(5x - 3)
    Хариулт
    (D)
    3
  • 3
    Given that cos xo = \(\frac{1}{r}\), express tan x in terms of r
    Хариулт
    (D)
    \(\sqrt{r^2 - 1}\)
  • 4
    Solve the equation; 3x - 2y = 7, x + 2y = -3
    Хариулт
    (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
    Хариулт
    (A)
    \(\frac{1}{2}\)
  • 6
    One of the factors of (mn - nq - n\(^2\) + mq) is (m - n). The other factor is?
    Хариулт
    (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 \(\pi = \frac{22}{7}\)]
    Хариулт
    (A)
    11
  • 8
    A regular polygon of n sides has each exterior angle to 45o. Find the value of n
    Хариулт
    (B)
    8
  • 9
    Esther was facing S 20° W. She turned 90° in the clock wise direction. What direction is she facing?
    Хариулт
    (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
    Хариулт
    (B)
    132cm2
  • 11
    From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)
    Хариулт
    (D)
    6x2 + x - 2 = 0
  • 12
    Simplify \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
    Хариулт
    (D)
    \(\frac{3}{4}\)
  • 13
    Which of these angles can be constructed using ruler and a pair of compasses only?
    Хариулт
    (C)
    135o
  • 14
    The perimeter of a sector of a circle of radius 4cm is (\(\pi + 8\))cm. Calculate the anle of the sector
    Хариулт
    (A)
    45o
  • 15
    The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error
    Хариулт
    (D)
    \(\frac{20}{7}\)%
  • 16
    What is the value of 3 in the number 42.7531?
    Хариулт
    (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.
    Хариулт
    (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.
    Хариулт
    (B)
    0.60m
  • 19
    What is the value of 3 in the number 42.7531?
    Хариулт
    (B)
    \(\frac{3}{1000}\)
  • 20
    Factorize the expression: am + bn - an - bm
    Хариулт
    (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
    Хариулт
    (A)
    -1.55, 4.44
  • 22
    Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0
    Хариулт
    (B)
    \(\frac{11m}{10n}\)
  • 23
    If \(\sqrt{72} + \sqrt{32} - 3 \sqrt{18} = x \sqrt{8}\), Find the value of x
    Хариулт
    (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
    Хариулт
    (A)
    15
  • 25
    Given that n(p) = 19, m(P \(\cup\) Q) = 38 and n(P \(\cap\) Q) = 7, Find n(C)
    Хариулт
    (A)
    26
  • 26
    What must be added to (2x - 3y) to get (x - 2y)?
    Хариулт
    (B)
    y - x
  • 27
    Simplify 1\(\frac{3}{4} - (2 \frac{1}{3} + 4)\)
    Хариулт
    (C)
    -4 \(\frac{7}{12}\)
  • 28
    Find the smaller value of x that satisfies the equation x\(^2\) + 7x + 10 = 0
    Хариулт
    (A)
    -5
  • 29
    The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect
    Хариулт
    (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
    Хариулт
    (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
    Хариулт
    (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
    Хариулт
    (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?
    Хариулт
    (D)
    10
  • 34
    If 27x = 9y. Find the value of \(\frac{x}{y}\)
    Хариулт
    (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
    Хариулт
    (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?

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

    Хариулт
    (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
    Хариулт
    (A)
    i and iii
  • 44
    In the diagram, STUV is a straight line. < TSY = < UXY = 40o and < VUW = 110o. Calculate < TYW
    Хариулт
    (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?
    Хариулт
    (A)
    7