WAEC - Mathematics (2013)

• 1

  Multiply 2.7 x 10^-4 by 6.3 x 10⁶ and leave your answers in standard form

  คำตอบ

  (C)

  1.701 x 10³
• 2

  If 9^{(2 - x)} = 3, find x

  คำตอบ

  (B)

  \(\frac{3}{2}\)
• 3

  In what number base is the addition 465 + 24 + 225 = 1050?

  คำตอบ

  (D)

  seven
• 4

  Simplify \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)

  คำตอบ

  (D)

  \(\frac{1}{2}\)
• 5

  If Un = n(n² + 1), evaluate U5 - U4

  คำตอบ

  (C)

  62
• 6

  If \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\), find K

  คำตอบ

  (D)

  2
• 7

  A sales boy gave a change of N68 instead of N72. Calculate his percentage error

  คำตอบ

  (B)

  5\(\frac{5}{9}\)%
• 8

  Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?

  คำตอบ

  (B)

  N(6x + 4y)
• 9

  Simplify: \(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)

  คำตอบ

  (C)

  \(\frac{3}{x - y}\)
• 10

  Solve the inequality: \(\frac{2x - 5}{2} < (2 - x)\)

  คำตอบ

  (D)

  x < 2\(\frac{1}{4}\)
• 11

  If x = 64 and y = 27, evaluate: \(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}}\)

  คำตอบ

  (C)

  \(\frac{5}{11}\)
• 12

  If \(\frac{1}{2}\)x + 2y = 3  and \(\frac{3}{2}\)x - 2y = 1, find (x + y)

  คำตอบ

  (A)

  3
• 13

  Given that \(p^{\frac{1}{3}}\) = \(\frac{\sqrt[3]{q}}{r}\), make q the subject of the equation

  คำตอบ

  (C)

  q = pr³
• 14

  A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord

  คำตอบ

  (A)

  2\(\sqrt{21}\)cm
• 15

  A cube and cuboid have the same base area. The volume of the cube is 64cm\(^3\) while that of the cuboid is 80cm\(^3\). Find the height of the cuboid

  คำตอบ

  (C)

  5cm
• 16

  If sin x = \(\frac{5}{13}\) and 0^o \(\leq\) x \(\leq\) 90^o, find the value of (cos x - tan x)

  คำตอบ

  (C)

  \(\frac{79}{156}\)
• 17

  An object is 6m away from the base of a mast. The angle of depression of the object from the top pf the mast is 50^o, Find, correct to 2 decimal places, the height of the mast

  คำตอบ

  (C)

  7.15m
• 18

  The bearing of Y from X is 060º and the bearing of Z from Y = 060º. Find the bearing of X from Z

  คำตอบ

  (B)

  240^o
• 19

  Which of the following is not a probability of Mary scoring 85% in a mathematics test?

  คำตอบ

  (D)

  1.01
• 20

  If 2 log x (3\(\frac{3}{8}\)) = 6, find the value of x

  คำตอบ

  (A)

  \(\frac{3}{2}\)
• 21

  If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 4), where y is an integer, find p\(\cap\)Q

  คำตอบ

  (C)

  {3, 4, 5, 6, 7}
• 22

  Find the values of k in the equation 6k² = 5k + 6

  คำตอบ

  (B)

  {\(\frac{-2}{3}, \frac{3}{2}\)}
• 23

  If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9 

  คำตอบ

  (A)

  8
• 24

  The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k

  คำตอบ

  (D)

  -8
• 25

  What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30^o

  คำตอบ

  (B)

  an arc of a circle with PM as a chord
• 26

  When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

  คำตอบ

  (C)

  5
• 27

  Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction

  คำตอบ

  (A)

  \(\frac{x - 7}{x^2 + x - 6}\)
• 28

  An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

  คำตอบ

  (B)

  12
• 29

  Given that P = x² + 4x - 2, Q = 2x - 1 and Q - p = 2, find x

  คำตอบ

  (B)

  -1
• 30

  A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume

  คำตอบ

  (B)

  448m³
• 31

  The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take \(\pi = \frac{22}{7}\))

  คำตอบ

  (C)

  38cm³
• 32

  The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used

  คำตอบ

  (A)

  1: 1,000,000
• 33

  Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M

  คำตอบ

  (D)

  x² - x
• 34

  An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take \(\pi = \frac{22}{7}\))

  คำตอบ

  (A)

  8800cm²
• 35

  

  In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.

  คำตอบ

  (A)

  112cm
• 36

  

  in the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L

  คำตอบ

  (B)

  10K units
• 37

  

  In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?

  คำตอบ

  (D)

  \(\bigtriangleup\) XYZ= \(\bigtriangleup\) NOM
• 38

  

  In the diagram, PQRS is a rhombus and < PSQ = 35º. Calculate the size of < PRQ

  คำตอบ

  (B)

  55^o
• 39

  

  Find the value of m in the diagram

  คำตอบ

  (D)

  17^o
• 40

  

  In the diagram, O is the centre of the circle. OM||XZ and < ZOM = 25º. Calculate ∠XYZ

  คำตอบ

  (D)

  65^o
• 41

  

  Using the histogram, estimate the mode of distribution

  คำตอบ

  (C)

  53.5
• 42

  

  Using the histogram, what is the median class?

  คำตอบ

  (C)

  40.5 - 50.5
• 43

  

  The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical Classes. How many textbooks are for the technical class?

  คำตอบ

  (D)

  250
• 44

  

  The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical Classes. What percentage of the total number of textbooks belongs to science?

  คำตอบ

  (A)

  12\(\frac{1}{2}\)%
• 45

  

  In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of < RVS

  คำตอบ

  (A)

  36^o