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    Home » Education » WAEC » WAEC Mathematics Questions and Answers For 2022/2023 (Essay and Objectives)
    WAEC

    WAEC Mathematics Questions and Answers For 2022/2023 (Essay and Objectives)

    CollinsBy CollinsMarch 15, 2022No Comments14 Mins Read
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    WAEC Mathematics Questions and Answers For 2022/2023, WAEC Mathematics, WAEC Mathematics, WAEC Maths, WAEC Mathematics questions and answers, WAEC mathematics syllabus 2022, past questions on mathematics, WAEC mathematics expo 2022, WAEC past questions pdf download

    Candidates for the WAEC use Google to look for the keywords listed above. Here you will find WAEC Mathematics problems and answers.

    Here are the WAEC Mathematics questions and answers for 2022/2023. Are you preparing for the WAEC? If you answered yes, this post will offer you WAEC Mathematics answers as well as the tips and tactics you’ll need to ace your WAEC exam.

    The West African Senior School Certificate Examination Board sets and compiles WAEC questions (WASSCE). Make sure you follow WAEC’s guidelines to the letter.

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    Table of Contents

      • GENERAL MATHEMATICS/MATHEMATICS (CORE) 1
      • 2022/2023WAEC Mathematics Questions and Answers
      • Solutions to WAEC Mathematics Questions
    • WAEC Maths Essay and Objective 2022 (EXPO)

    GENERAL MATHEMATICS/MATHEMATICS (CORE) 1

    OBJECTIVE TEST

    2022/2023WAEC Mathematics Questions and Answers

    Symbols used:

    ^ means raise to power
    / division

    SQRT means square root

    To retrieve the WAEC answers for 2022, scroll to the bottom of the page and reload the page.

    During the examination, the 2022 WAEC Mathematics Answers will be released here WAEC Maths 2022 Answers Loading…

    Answers to today’s WAEC Objectives (2021 Answers)

    1-10: CBCADABBCD

    11-20: BCBADCCABC

    21-30: CDCAAADACD

    31-40: CADACBAABC

    41-50: ABAADADBBB

    WAEC Mathematics Questions and Answers WAEC Mathematics Questions and Answers WAEC Mathematics Questions and Answers WAEC Mathematics Questions and Answers WAEC Mathematics Questions and Answers WAEC Mathematics Questions and Answers WAEC Mathematics Questions and Answers

    Solutions to WAEC Mathematics Questions

    1. Express, correct to three significant figures, 0.003597.

    A. 0.359

    B. 0.004

    C. 0.00360

    D. 0.00359

    2. Evaluate:  (0.064)^-1/3

    A. 5/2

    B. 2/5

    C. -2/5

    D. -5/2

    3. Solve:  y+1/2 – 2y-1/3 = 4

    A. y = 19

    B. y = -19

    C. y = -29

    D. y = 29

    4. Simplify, correct to three significant figures, (27.63)^2 – (12.37)^2

    A. 614

    B. 612

    C. 611

    D. 610

    5. If  7 + y = 4 (mod 8), find the least value of y, 10<=y<=30

    A. 11

    B. 13

    C. 19

    D. 21

    6. If  T = (prime numbers) and

    M = (odd numbers) are subsets of

    U = (x: 0<x<=10, and x is an integer), find (T’ n M’).

    A. (4, 6, 8, 10)

    B. (1, 4, 6, 8, 10)

    C. (1, 2, 4, 6, 8, 10)

    D. (1, 2, 3, 5, 7, 8, 9)

    7. Evaluate: log9 base 3 – log8 base 2 /log9 base 3

    A. -1/3

    B. 1/2

    C. 1/3

    D. -1/2

    8. If 23y = 1111two, find the value of y.

    A. 4

    B. 5

    C. 6

    D. 7

    9. If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P.

    A. 9

    B. 10

    C. 6

    D. 8

    10. Evaluate: 2 (SQRT 28) – 3 (SQRT 50) +  (SQRT 50)

    A. 4 (SQRT  7) – 21 (SQRT 2)

    B. 4 (SQRT  7) – 11 (SQRT 2)

    C. 4 (SQRT  7) – 9 (SQRT 2)

    D. 4 (SQRT  7) + (SQRT 2)

    11. If m : n = 2 : 1, evaluate 3m^2 – 2n^2 /m^2 + mn

    A. 4/3

    B. 5/3

    C. 3/4

    D. 3/5

    12. H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y

    A. H = p /4y^2

    B. H = 2p / y^2

    C. H = p / 2 y^2

    D. H = p / y^2

    13. Solve 4x^2 – 16x + 15

    A. X = 1 (1/2) or X = -2 (1/2)

    B. X = 1 (1/2) or X = 2 (1/2)

    C. X = 1 (1/2) or X = -1 (1/2)

    D. X = -1 (1/2) or X = -2 (1/2)

    14. Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form.

    A. 1.639 x 10^2

    B. 1.639 x 10^1

    C. 1.639 x 10^-1

    D. 1.639 x 10^-2

    15. Simplify: log6 – 3log3 + 2/3log27.

    A. 3log 2

    B. Log2

    C. Log3

    D. 2log3

    16. Bala sold an article for 6,900.00 naira and made a profit of 15 percent. Calculate his percentage profit if he had sold for 6600.00.

    A. 5 percent

    B. 10 percent

    C. 12 percent

    D. 13 percent

    17. If 3p = 4q and 9p = 8q-12, find the value of pq.

    A. 12

    B. 7

    C. -7

    D. -12

    18. If (0.25)^y = 32, find the value of y.

    A. y = -5/2

    B. y = -3/2

    B. y = 3/2

    D. y = 5/2

    19. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

    A. 3/4

    B. 1/3

    C. 2/3

    D. 1/4

    20. Simplify: x^2 – 5x – 14 / x^2 – 9x + 14

    A. X – 7 /x + 7

    B. X + 7 /x – 7

    C. X – 2 /x + 4

    D. X + 2 /x – 2

    21. Which of these values would make 3p – 1 /p^2 – p undefined?

    A. 1

    B. 1/3

    C. -1/3

    D. -1

    22. The total surface area of a solid cylinder is 165 cm2. If the base diameter is 7 cm, calculate its height. (Take pi = 22/7)

    A. 7.5 cm

    B. 4.5 cm

    C. 4.0 cm

    D. 2.0 cm

    23. If 2^a = SQRT(64) and b/a = 3, evaluate a^2 + b^2.

    A. 250

    B. 160

    C. 90

    D. 48

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    24. In triangle XYZ, line XZ = 32 cm, angle YXZ = 52 degrees and XZY = 90 degrees. Find, correct to the nearest centimeter, line XZ.

    A. 31 cm

    B. 25 cm

    C. 20 cm

    D. 13 cm

     25. If log 2 base x = 0.3, evaluate log 8 base x.

    A. 2.4

    B. 1.2

    C. 0.9

    D. 0.6

    26. An arc subtends an angle of 72 degrees at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. (Take pi = 22/7)

    A. 6.6 cm

    B. 8.8 cm

    C. 4.4 cm

    D. 2.2 cm

    27. Make b the subject of the relation

    lb = 1/2(a+b)h

    A. ah /2l – h

    B. 2l – h/al

    C. al/2l – h

    D. al/2 – h

    29. Eric sold his house through an agent who charged 8 percent commission on the selling price. If Eric received 117,760.00 dollars after the sale, what was the selling price of the house?

    A. 130,000.00 dollars

    B. 128,000.00 dollars

    C. 125,000.000 dollars

    D. 120,000.00 dollars

    29. Find the angle which an arc of length 22 cm subtends at the centre of a circle of radius 15 cm. (take pi = 22/7)

    A. 70 degrees

    B. 84 degrees

    C. 96 degrees

    D. 156 degrees

    30. A rectangular board has a length of 15 cm and width x cm. If its sides are doubled, find its new area.

    A. 60x cm squared

    B. 45x cm squared

    C. 30x cm squared

    D. 15x cm squared

    31. In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, line OS = line OT and angle OST = 50 degrees. Calculate the value of angle OPQ.

    A. 100 degrees

    B. 120 degrees

    C.140 degrees

    D. 160 degrees

    32. Factorize completely: (2x + 2y)(x-y) + (2x – 2y)(x + y)

    A. 4(x – y)(x + y)

    B. 4(x – y)

    C. 2(x – y) (x + y)

    D. 2(x – y)

    33. The interior angles of a polygon are 3x, 2x, 4x, 3x and 6x. Find the size of the smallest angle of the polygon.

    A. 80 degrees

    B. 60 degrees

    C. 40 degrees

    D. 30 degrees

    34. A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

    A. 2/3

    B. 3/5

    C. 7/20

    D. 12/25

    35. Find the equation of a straight line passing through the points (1, -5) and having gradient of ¾.

    A. 3x + 4y – 23 = 0

    B. 3x + 4y + 23 = 0

    C. 3x – 4y + 23 = 0

    D. 3x – 4y – 23 = 0

    36. The foot of a ladder is 6 m from the base of an electric pole. The top of the ladder rest against the pole at a point 8 m above the ground. How long is the ladder?

    A. 14 m

    B. 12 m

    C. 10 m

    D. 7 m

    37. If tan x = 3/4, 0<x<90,

    evaluate cos x/2sin x

    A. 8/3

    B. 3/2

    C. 4/3

    D. 2/3

    38. From the top of a vertical cliff 20 m high, a boat at sea can be sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

    A. 56 degrees

    B. 75 degrees

    C. 16 degrees

    D. 15 degrees

    39. In the diagram, O is the centre of the circle of radius 18 cm. If angle ZXY = 70 degrees, calculate the length of arc ZY. (Take pi = 22/7)

    A. 11 cm

    B. 22 cm

    C. 44 cm

    D. 80 cm

    In the diagram, RT is tangent to the circle at R, angle PQR = 70 degrees, angle QRT = 52 degrees, angle QSR = y and angle PRQ = x. Use the diagram to answer questions 40 and 41

    40. Find the value of y.

    A. 70 degrees

    B. 60 degree

    C. 52 degree

    D. 18 degree

    41. Calculate the value of x

    A. 70 degrees

    B. 58 degrees

    C. 55 degrees

    D. 48 degrees

    42. Calculate the variance of 2, 4, 7, 8, 9

    A. 7.2

    B. 6.8

    C. 3.5

    D. 2.6

    43. The fourth term of an Arithmetic Progression (A.P.) is 37 and the first term is -20. Find the common difference.

    A. 63

    B. 57

    C. 19

    D. 17

    In the diagram, PQ is parallel to RS, angle QFG = 105 degrees and angle FEG = 50 degrees. Use the diagram to answer questions 44 and 45.

    44. Find the value of m

    A. 130 degrees

    B. 105 degrees

    C. 75 degrees

    D. 55 degrees

    45. Find the values of n

    A. 40 degrees

    B. 55 degrees

    C. 75 degrees

    D. 130 degrees

    46. A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

    A. 1/6

    B. 1/4

    C. 1/3

    D. 1/2

    47. The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

    A. 90

    B. 80

    C. 70

    D. 40

    The following are scores obtained by some students in a test.

    8 18 10 14 18 11 13 14 17 15 8 16 13

    Use this information to answer questions 48 to 50

    48. Find the mode of the distribution

    A. 18

    B. 14

    C. 13

    D. 8

    49. Find the median score.

    A. 14.5

    B. 14.0

    C. 13.5

    D. 13.0

    50. How many students scored above the mean score?

    A. 10

    B. 9

    C. 8

    D. 7

    Are the WAEC objective questions difficult? Let’s quickly move to the Solutions of 2020/2021 WAEC Mathematics Questions

    Solutions to WAEC Mathematics Questions

    1.A

    The two zeros before 3 are not counted since they are not between whole numbers

    2. A

    0.064^(-1/3) = 5/2

    3.  y+1/2 – 2y-1/3 = 4

    Multiply through by 6

    3y + 3 – 4y + 2 = 24

    Collecting like terms

    Implies:

    y =-19

    Answer: A

    4. D

    5. B

    6. U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

    T = (2, 3, 5, 7)

    M = (1, 3, 5, 7, 5)

    (T’ n M’) = the numbers in the union set U but not in T and M

    (T’ n M’) = (4, 6, 8, 10)

    Answer: A

    7. Log9 base 3 – log 8 base 2 / log 9 base 3

    Log3^2 base 3 – log2^3 base 2 / log 3^2

    2log3 base 3 – 3log2 base 2 / 2log3 base 3

    Log3 base 3 = 1

    Log 2 base = 1

    Reason: Log to its own base is 1

    This implies:

    2 -3 /2 = -1/2

    Answer: D

    8. Convert both sides to base ten

    2xy^1 + 3Xy^0 = 1×2^3 + 1×2^2 + 1x 2^1 + 1×2^0

    2y +3 = 8 + 4 + 2 + 2 + 1

    2y + 3 = 15

    2y = 15-3

    Y = 12/2 = 6

    Answer: C

    9. 6, p, 14

    First term a = 6, third term = 14

    Number of terms of A.P = a + (n-1)d

    T3 =14 = a + 2d

    6 + 2d = 14

    Common difference d = 14

    P = second term

    T2 = a + d = 6 + 4 = 10

    Answer: B

    10. 4 SQRT(7) – 15 SQRT(2) + 6 SQRT(2)

    4 SRT(7) – 9 SRT(2)

    Answer: C

    11. m/n = 2/1

    m = 2n

    3(2n)^2 – 2n^2 / 2n^2 +2n^2

    12n^2 – 2n^2 / 4n^2 + 2n^2 = 10n^2/6n^2

    = 5/3

    Answer:  B

    12. H = kp / y^2 where k = constant, H = 1, p = 8, y = 2

    k = Hy^2 /p =  4×1/8 = ½

    H = p/2y^2

    Answer: C

    13. Factorizing:

    (4x^2 -6x)(-10x +15)

    2x(2x – 3)-5(2x – 3)

    2x-5 = 0 or 2x-3 = 0

    X = 5/2 or x = 3/2

    Answer: B

    14. C

    15. B

    16. 15 percent profit = 115 = 6,900 naira

    Let the percent  Bala sold the article at 6600 naira = x

    115 = 6,900

    X = 6600

    Cross multiplying

    6900x = 759000

    X = 110 percent

    The percentage profit if he had sold it at 6600 naira = 110 – 100

    = 10 percent

    Answer: B

    17. 3p = 4q

    9p = 8q – 12

    p = 4q/3

    8q – 12 -(36q/3)

    24q – 36 – 36q

    -12q = 36

    q = -3

    3p = -12

    p = -4, pq = -3x-4 = 12

    Answer: A

    18. (0.25)^y = 32

    (1/4)^y = 32

    2^-2 = 2^5

    -2y = 5

    y = -5/2

    Answer: A

    19. C

    20. (x-7)(x+2)/ (x+7)(x+2) = (x-7) / (x+7)

    Answer: A

    21. 3p – 1/p^2 -p

    It will be undefined when the denominator p^2 – p = 0

    therefore, p = 1 would make it zero

    Answer: A

    22. Given:

    T.S.A = 165 cm^2

    D = 7 cm

    h = ?

    pi = 22/7

    T.S.A = 2pirh + 2pir^2

    165 -2x(22/7)x3.5^2 = 2x(22/7) x3.5h

    165 – 77 = 22h,

    h = 88/22

    h = 4.0 cm

    Answer: C

    Are you enjoying the Solutions to WAEC Mathematics Questions? Let’s continue.

    23. 2^a = SQRT(64)

    2^a = 8

    2^a = 2^3

    a = 3

    but b/a = 3

    therefore, b = 3a = 3×3 = 9

    a^2 + b^2 = 3^2 + 9^2 = 90

    Answer: C

    24. Angle XYZ = 180 – (90+52)

    180-142 = 38 degrees

    From sin rule,

    XZ/sin38 = 32/sin52

    XZ = 25 cm

    Answer: B

    26. tita = 72

    r = 3.5

    pi = 22/7

    arc length = 2pir(tita/360)

    arc length = 2x( 22/7 )x3.5x(72/360) = 4.4 cm

    Answer: C

    27. 2lb = (a+b)h

    2lb = ah + bh

    2lb- bh = ah

    b(2l-h) = ah

    b = ah/2l-h

    Answer: A

    28. agent commission = 8 percent

    percentage received by eric = 100 – 8 = 92

    let the selling price be x

    92x/100 = 117760

    x = 11776000/92

    x = 128000.00 dollars

    Answer: B

    29. arc length = 2pir(tita/360)

    22 = 2×22/7x15xtita/360

    tita = 55440/660

    tita = 84 degrees

    Answer: B

    30. l = 15

    width = x

    if its sides are doubled,

    l = 30

    width = 2x

    area = 30* 2x = 60x cm^2

    Answer: A

    31. A 32. A 33. B 34. D 35. D 36. C 37.D 38. D 39. C 40. C 41. B42. C 43. C 44. D 45. C46 A 47.A 48. C 49. C 50. A

    These questions and answers are WAEC practice questions to help you prepare for the WAEC Mathematics Questions in 2022/2023.

    WAEC Maths Essay and Objective 2022 (EXPO)

    The above questions are likely WAEC Maths repeated questions and answers, rather than 2022 WAEC Mathematics questions and answers.

    These are just practice questions. The WAEC Mathematics expo for 2022 will be available on this page 30 minutes before the start of the WAEC Mathematics test. For the answers, keep checking and refreshing this page.

    This site will be updated as soon as the WAEC Mathematics Questions for 2022/2023 are released.

    What you’ll see will be similar to what you’ve seen so far. I had spent some time simplifying the solution for a layperson’s grasp.

    WAEC Mathematics Questions and Answers 2022 is currently being loaded…

    Loading… is one of the objectives.

    What you’ll see will be similar to what you’ve seen so far. I had spent some time simplifying the solution for a layperson’s grasp.

    If you have queries about WAEC Mathematics questions and answers, utilize the comment box and you will be responded to as quickly as possible. Goodluck.

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