WAEC - Mathematics (2022)

• 1

  Evaluate, correct to four significant figures, (573.06 x 184.25).

  Jawab

  (A)

  105600.00
• 2

  Change 432\(_{five}\) to a number in base three.

  Jawab

  (B)

  11100\(_{three}\)
• 3

  Given that A and B are sets such that n(A) = 8, n(B)=12 and n(AnB) =3, find n(AuB).

  Jawab

  (B)

  17
• 4

  If √24 + √96 - √600 = y√6, find the value of y

  Jawab

  (D)

  -4
• 5

  Evaluate 23 x 54 (mod 7)

  Jawab

  (B)

  3
• 6

  If 4\(^{3x}\) = 16\(^{x+1}\), find the value of x 

  Jawab

  (A)

  2
• 7

  A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.

  Jawab

  (B)

  140%
• 8

  Find the 17term of the Arithmetic Progression (A.P):-6,-1,4

  Jawab

  (C)

  74
• 9

  M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.

  Jawab

  (A)

  \(\frac{3n}{2p^2}\)
• 10

  If a = 3 and b = -7, find the value of \(\frac{5b+(a+b)^2}{(a-b)^2}\)

  Jawab

  (C)

  -0.19
• 11

  Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.

  Jawab

  (A)

  4000
• 12

  The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error

  Jawab

  (B)

  2\(\frac{6}{7}\)
• 13

  If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?

  Jawab

  (D)

  8
• 14

  Mary has $ 3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ x, how much does Jane and Ben have altogether?

  Jawab

  (D)

  $(2x+2)
• 15

  Consider the statements:

  p: Stephen is intelligent

  q: Stephen is good at Mathematics

  If p⇒q, which of the following is a valid conclusion?

   

  Jawab

  (B)

  If Stephen is not good at Mathematics, then he is not intelligent
• 16

  What value of p will make (x\(^2\) - 4x + p) a perfect square?

  Jawab

  (C)

  4
• 17

  .Find the value of x such that \(\frac{1}{x}\) +\(\frac{4}{3x}\) - \(\frac{5}{6x}\) + 1 = 0

  Jawab

  (C)

   \(\frac{-3}{2}\)
• 18

  Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)

  Jawab

  (B)

  \(\frac{k^2r + pm^2}{m^2}\)
• 19

  An exterior angle of a regular polygon is 22.5°. Find the number of sides.

  Jawab

  (D)

  16
• 20

  

  In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7]

  What is the length of the minor arc?

  Jawab

  (A)

  11cm
• 21

  

  Find the area of the sector OPSQ

  Jawab

  (D)

  32.34cm\(^2\)
• 22

  A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?

  Jawab

  (C)

  4.792m
• 23

  A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area

  Jawab

  (D)

  214.5cm\(^2\)
• 24

  

  In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.

  Jawab

  (B)

  32cm
• 25

  

  The length of a rectangle is 10 cm. If its perimeter is 28 cm, find the area

  Jawab

  (B)

  40cm\(^2\)
• 26

  A boy 1.4 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.

  Jawab

  (B)

  47º
• 27

  Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.

  Jawab

  (B)

  32
• 28

  

  In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠OSN

  Jawab

  (C)

  36°
• 29

  

  Find ∠OSN

  Jawab

  (A)

  36º
• 30

  Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with  blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes? 

  Jawab

  (C)

  \(\frac{1}{8}\)
• 31

  The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.

  Jawab

  (B)

  65
• 32

  Simplify \(\frac{2-18m^2}{1+3m}\)

  Jawab

  (B)

  2[1-3m]
• 33

  

  In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR

   

  Jawab

  (B)

  80º
• 34

  Solve \(\frac{y+2}{4}\) - \(\frac{y-1}{3}\) > 1

  Jawab

  (B)

  y < -2
• 35

  The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.

  Find the lower quartile

  Jawab

  (C)

  15
• 36

  The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.

  Find the mean

  Jawab

  (C)

  34.45
• 37

  Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Take π = \(\frac{22}{7}\)]

  Jawab

  (D)

  113.14cm\(^3\)
• 38

  The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.

  Jawab

  (C)

  10cm
• 39

  Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]

  Jawab

  (D)

  154cm\(^3\)
• 40

  A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is read by 45% of the households. The Evening Dispatch is read by 60% of the households. Twenty percent of the households read both papers. What is the probability that a particular household reads at least one paper?

  Jawab

  (C)

  0.85
• 41

  A rectangle with width \(\frac{3}{4}\)cm and area 3 \(\frac{3}{8}\)cm\(^2\). Find the length

  Jawab

  (B)

  4\(\frac{1}{2}\)cm
• 42

  The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y

  Jawab

  (C)

  6
• 43

  The straight line y = mx - 4 passes through the point(-4,16). Calculate the gradient of the line

  Jawab

  (A)

  -5
• 44

  If the equations x\(^2\) - 5x + 6 = 0 and x\(^2\) + px + 6 = 0 have the same roots, find the value of p.

  Jawab

  (C)

  -5
• 45

  A trader made a loss of 15% when an article was sold. Find the ratio of the selling price : cost price

  Jawab

  (C)

  17:20