WAEC - Mathematics (2011)

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

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

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