You might have asked the questions, what are the areas Waec sets questions in Mathematics? I am here to give you bold answers to your question.

To make this topic easy for you to understand, I will divide it into three sections.

The three sections are:

- Waec 2021 Mathematics Objective Questions

- 2021 Waec General Mathematics Essay Questions And Answers.

- Instructions To Pass Waec 2021 Examination.

Contents

## Waec 2021 Maths Objective Questions

As usual, you will be given questions and options A to E to choose from. Normally, the number of objective questions (OBJ) you are to answer in Waec 2021 Mathematics is 50.

1. If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first for term

A. -45

B. -15

C. 15

D. 33

E. 45

2. If sinθθ = K find tanθθ, 0o ≤≤ θθ ≤≤ 90o

A. 1-K

B. kk−1kk−1

C. k1−k2√k1−k2

D. k1−kk1−k

E. kk2−1√kk2−1

3. Evaluate (101.5)2 – (100.5)2

A. 1

B. 2.02

C. 20.02

D. 202

E. 2020

4. Express the product of 0.06 and 0.09 in standard form

A. 5.4 * 10-1

B. 5.4*10-2

C. 5.4*10-3

D. 5.4*102

E. 5.4*103

5. Simplify 361/2 x 64-1/3 x 50

A. o

B. 124

C. 2/3

D. 11/3

E. 71/2

6. Find the quadratic equation whose roots are x = -2 or x = 7

A. x2 + 2x – 7 = 0

B. x2 – 2x + 7 = 0

C. x2 + 5 +14 = 0

D. x2 – 5x – 14 = 0

E. x2 + 5x – 14 = 0

7. A sales girl gave a change of N1.15 to a customer instead of N1.25. Calculate her percentage error

A. 10%

B. 7%

C. 8.0%

D. 2.4%

E. 10%

8. What is the probability of having an odd number in a single toss of a fair die?

A. 1/6

B. 1/3

C. 1/2

D. 2/3

E. 5/6

9. If the total surface area of a solid hemisphere is equal to its volume, find the radius

A. 3.0cm

B. 4.5cm

C. 5.0cm

D. 9.0cm

10. If 23x + 101x = 130x, find the value of x

A. 7

B. 6

C. 5

D. 4

11. Simplify: (34−2334−23) x 11515

A. 160160

B. 572572

C. 110110

D. 1710710

12. Simplify:(103√5√−15‾‾‾√1035−15)2

A. 75.00

B. 15.00

C. 8.66

D. 3.87

13. The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?

A. 90cm

B. 135cm

C. 180cm

D. 225cm

14. Which of following is a valid conclusion from the premise. “Nigeria footballers are good footballers”?

A. Joseph plays football in Nigeria therefore he is a good footballer

B. Joseph is a good footballer therefore he is a Nigerian footballer

C. Joseph is a Nigerian footballer therefore he is a good footballer

D. Joseph plays good football therefore he is a Nigerian footballer

15. On a map, 1cm represent 5km. Find the area on the map that represents 100km2.

A. 2cm2

B. 4cm2

C. 8cm2

D. 8cm2

16. Simplify; 3n−1×27n+181n3n−1×27n+181n

A. 32n

B. 9

C. 3n

D. 3n + 1

17. What sum of money will amount to D10,400 in 5 years at 6% simple interest?

A. D8,000.00

B. D10,000.00

C. D12,000.00

D. D16,000.00

18. The roots of a quadratic equation are 4343 and -3737. Find the equation

A. 21×2 – 19x – 12 = 0

B. 21×2 + 37x – 12 = 0

C. 21×2 – x + 12 = 0

D. 21×2 + 7x – 4 = 0

19. Find the values of y for which the expression y2−9y+18y2+4y−21y2−9y+18y2+4y−21 is undefined

A. 6, -7

B. 3, -6

C. 3, -7

D. -3, -7

20. Given that 2x + y = 7 and 3x – 2y = 3, by how much is 7x greater than 10?

A. 1

B. 3

C. 7

D. 17

21. Simplify; 21−x−1×21−x−1x

A. x+1x(1−x)x+1x(1−x)

B. 3x−1x(1−x)3x−1x(1−x)

C. 3x+1x(1−x)3x+1x(1−x)

D. x+1x(1−x)x+1x(1−x)

22. Make s the subject of the relation: P = S + sm2nrsm2nr

A. s = mrpnr+m2mrpnr+m2

B. s = nr+m2mrpnr+m2mrp

C. s = nrpmr+m2nrpmr+m2

D. s = nrpnr+m2nrpnr+m2

23. Factorize; (2x + 3y)2 – (x – 4y)2

A. (3x – y)(x + 7y)

B. (3x + y)(2x – 7y)

C. (3x + y)(x – 7y)

D. (3x – y)(2x + 7y)

24. The curve surface area of a cylinder, 5cm high is 110cm 2. Find the radius of its base. [Take π=227π=227]

A. 2.6cm

B. 3.5cm

C. 3.6cm

D. 7.0cm

25. The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimension xcm by 6cm, find the value of x

A. 3

B. 5

C. 6

D. 8

26. Calculate the gradient of the line PQ

A. 3535

B. 2323

C. 3232

D. 5353

27. A straight line passes through the point P(1,2) and Q

(5,8). Calculate the length PQ

A. 411‾‾‾√411

B. 410‾‾‾√410

C. 217‾‾‾√217

D. 213‾‾‾√213

28. If cos θθ = x and sin 60o = x + 0.5 0o < θθ < 90o, find, correct to the nearest degree, the value of θθ

A. 32o

B. 40o

C. 60o

D. 69o

29.Age(years)Frequency13101424158165173Age(years)1314151617Frequency1024853

The table shows the ages of students in a club. How many students are in the club?

A. 50

B. 55

C. 60

D. 65

30. The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range

A. 16

B. 14

C. 13

D. 11

31. If log2(3x – 1) = 5, find x.

A. 2.00

B. 3.67

C. 8.67

D. 11

32. A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r

A. 2323

B. 2

C. 3

D. 6

33. Express 1975 correct to 2 significant figures

A. 20

B. 1,900

C. 1,980

D. 2,000

34. A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue

A. 2929

B. 518518

C. 20812081

D. 5959

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

A. – 8

B. – 4

C. 4

D. 8

36. Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8…

A. 13, 19, 23

B. 9, 11, 13

C. 11, 15, 19

D. 13, 21, 34

37. If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x

A. 2

B. 5

C. 15

D. 18

38. The sum 110112, 11112 and 10m10n02. Find the value of m and n.

A. m = 0, n = 0

B. m = 1, n = 0

C. m = 0, n = 1

D. m = 1, n = 1

39. A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.070 to N1.00, how much did the engine cost in Niara?

A. N250,000.00

B. N200,000.00

C. N150,000.00

D. N100,000.00

40. If 27x×31−x92x=127x×31−x92x=1, find the value of x.

A. 1

B. 1212

C. -1212

D. -1

41. Find the 7th term of the sequence: 2, 5, 10, 17, 6,…

A. 37

B. 48

C. 50

D. 63

42. Given that logx 64 = 3, evaluate x log8

A. 6

B. 9

C. 12

D. 24

43. If 2n = y, Find 2(2+n3)(2+n3)

A. 4y1313

B. 4y−3−3

C. 2y1313

D. 2y−3−3

44. Factorize completely: 6ax – 12by – 9ay + 8bx

A. (2a – 3b)(4x + 3y)

B. (3a + 4b)(2x – 3y)

C. (3a – 4b)(2x + 3y)

D. (2a + 3b)(4x -3y)

45. Find the equation whose roots are 3434 and -4

A. 4×2 – 13x + 12 = 0

B. 4×2 – 13x – 12 = 0

C. 4×2 + 13x – 12 = 0

D. 4×2 + 13x + 12 = 0

46. If m = 4, n = 9 and r = 16., evaluate mnmn – 17979 + nrnr

A. 1516516

B. 1116116

C. 516516

D. – 137483748

47. Adding 42 to a given positive number gives the same result as squaring the number. Find the number

A. 14

B. 13

C. 7

D. 6

48. Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving?

A. x2 – x – 3 = 0

B. x2 – 3x – 1 = 0

C. x2 – 3x – 3 = 0

D. x2 + 3x – 1 = 0

49. The volume of a cone of height 3cm is 381212cm3. Find the radius of its base. [Take π=227π=227]

A. 3.0cm

B. 3.5cm

C. 4.0cm

D. 4.5cm

50. The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take π=227π=227]

A. 14cm

B. 7m

C. 31212m

D. 13434m

51. PQRT is square. If x is the midpoint of PQ, Calculate correct to the nearest degree, LPXS

A. 53o

B. 55o

C. 63o

D. 65o

52. The angle of elevation of an aircraft from a point K on the horizontal ground 30αα. If the aircraft is 800m above the ground, how far is it from K?

A. 400.00m

B. 692.82m

C. 923.76m

D. 1,600.99m

53. The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 7 students

A. 32o

B. 45o

C. 60o

D. 75o

54. The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.

A. 62

B. 63

C. 64

D. 65

55. Which of the following is used to determine the mode of a grouped data?

A. Bar chart

B. Frequency polygon

C. Ogive

D. Histogram

56. The area of a rhombus is 110cm

A. 5.0

B. 4.0

C. 3.0

D. 2.5

57. Simplify: 3x−yxy+2x+3y2xy+123x−yxy+2x+3y2xy+12

A. 4x+5y−xy2xy4x+5y−xy2xy

B. 5y−4x+xy2xy5y−4x+xy2xy

C. 5x+4y−xy2xy5x+4y−xy2xy

D. 4x−5y+xy2xy4x−5y+xy2xy

58. A farmer uses 2525 of his land to grow cassava, 1313 of the remaining for yam and the rest for maize. Find the part of the land used for maize

A. 215215

B. 2525

C. 2323

D. 45

59. The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol?

A. 221212km

B. 30km

C. 331212km

D. 45km

60. A trader bought 100 oranges at 5 for N40.00 and 20 for N120.00. Find the profit or loss percent

A. 20% profit

B. 20% loss

C. 25% profit

D. 25% loss

Also: How to answer Waec questions very fast

## General Maths Waec Theory Questions And Answers

The following are the kind of questions you should expect in Waec 2021 Mathematics Theory or Essay. They are hot cake questions:

1. Two angles of a pentagon are in the ratio 2:3. The others are 60o each. Calculate the smaller of the two angles

2. The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, would be the height of the same quantity of water in Q?

n what modulus is it true that 9 + 8 = 5?

3. In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?

4. In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?

## Waec Examination Instructions

- Do not open your question paper until you are told to do so.

- USE HB pencil throughout in the OBJ Section

- You are free to use Biro in the theory part

- You are allowed to use calculator to solve

- Make sure that you fill your name, Subject, paper, paper code and other examination details where necessary.

- Ensure that the texts in your question papers are boldly printed

**Behave yourself.**

Don’t let invigilators catch you using expo

Related: Waec Syllabus for Mathematics

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