WAEC GCE Mathematics Questions and Answers for 2023
by Ushapriyanga
Updated May 29, 2023
WAEC
The West African Examinations Council (WAEC) is an examination board established in 1952 to coordinate and provide certification for exams required for education in Anglophone countries of West Africa, including Ghana, Nigeria, Sierra Leone, Liberia, and the Gambia. The council has facilitated education and contributed to the development of these countries through the coordination of valid and relevant examinations.
WAEC conducts a variety of examinations, including the West African Senior School Certificate Examination (WASSCE), which is a type of standardized test taken by students who pass the exam and receive a certificate upon completion. The WASSCE is a critical examination that opens up many career opportunities in areas such as software development, database administration, system analysis and design, and web development.
WAEC is recognized globally as one of the largest and most respected examination bodies in West Africa, and in a year, over three million candidates registered for the exams coordinated by WAEC. Students who take these exams are expected to have a strong foundation in their respective fields and to be skilled in a range of topics, such as data representation, logic gates, networking, security, and ethical issues.
By coordinating exams and issuing certifications, WAEC has contributed to the development of education and the economies of the West African countries it serves. WAEC is an organization dedicated to providing opportunities for students to succeed and build successful careers, and the examinations it coordinates are highly respected across many industries globally
WAEC GCE Mathematics Questions and Answers For 2023
1. Simplify: √108 108 +√125125 - √75.75.
(a) √33 + 5√555
(b). 6√36√3 - 5√555
(c) 6√36√3 + √22
(d). 6√36√3 - √22
2. Evaluate: (64^1/2+ 125^1/3)64^1/2+ 125^1/3
(a). 121
(b). 144
(c) 169
(d). 196
3. Given that y varies inversely as the square of x. if x=3 when y=100, find the equation connecting x and y
(a) yx2=300
(b). yx2=900
(c) yx2=100x9100x9
(d) y = 900x2
4. Find the value of x for which 32four = 22 base x
(a). three
(b) five
(c) Six
(d) seven
5. Simplify: 2 whole number1/4 x 3 whole number1/2 ÷4 whole number3/8
(a). 5/9
(b) 1 whole number1/5
(c) 1 whole number 1/4
(d) 1 whole number 4/5
6. There are 250 boys and 150 girls in a school. If 60% of the boys and 40% of the girls play football. What percentage of the school play football?
(a). 40.0%
(b) 42.2%
(c) 50.0%
(d) 52.5%
7. If log10 (6 x−4) x-4) – log10 2=1, solve for xx
(a). 2
(b) 3
(c) 4
(d) 5
8. If F = 9C/5+ 32, find C when F = 98.6
(a) 30
(b) 37
(c) 39
(d) 41
9. If y ÷ 2 x = 4 and y−3x=−1, find the value of (x+y)
(a) 3
(b) 2
(c) 1
(d) -1
10. If x:y:z=2:3:4, Evaluate 9x+3y/6z−2y
(a)1 whole number1/2
(b) 2
(c) 2 whole number1/2
(d) 3
11. Simplify: 2−18m^2/1+3m
(a) 2(1+3m)
(b) 2(2+3m2)
(c) 2(1-3m)
(d) 2(1-3m2)
12. A curve is such that when y = 0, x = -2 or x=3. Find the equation for the curve.
(a). y= x^2-5 x -6
(b). y= x^2+5x−6
(c) y= x2+x−6
(d) y=x^2- x-6
13. The volume of a cylindrical tank, 10m high is 385m3. Find the diameter of the tank. Take π=22/7
(a). 14 m
(b). 10 m
(c). 7 m
(d). 5 m
14. The surface of a sphere is 7927cm27927cm2. Find correct to the nearest whole number, its volume. Take [π=22/7]
(a)113 cm^3
(b) 131cm^3
(c) 311cm^3
(d) 414cm^3
15. A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. Take π=22/7
(a) 1700
(b) 1770
(c) 1820
(d) 1920
20. The angles of a polygon are x, 2 x , 2 x, (x-300), (x-200) and (x-100). Find the value of x.
(a) 450
(b) 840
(c) 850
(d) 950
21. If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|.
(a) 8 units
(b) 11 units
(c) 15 units
(d) 17 units
22. The equation of the line through the points (4, 2) and (-8, -2) is 3y = p x + q, where pp and q are constants. Find the value of p.
(a) 1
(b) 2
(c) 3
(d) 9
23. The angle of elevation of the top of a tree from a point 27 m away and on the same horizontal ground as the foot of the tree is 300. Find the height of the tree.
(a) 27 m
(b) 13.5√3 m
(c) 13.5√2 m
(d) 9√3 m
24. If tan x=4/3, 00 < x<900, find the value of sin x – cos x .
(a) 1/10
(b) 1/5
(c) 5/12
(d) 1 whole number 2 /5
25. Given that Y is 20 m on a bearing of 3000 from X, how far south of Y is X?
(a) 10 m
(b) 15 m
(c) 25 m
(d) 30 m
26. The mean of 1,3,5,7 and x is 4. Find the value of .x.
(a) 2
(b) 4
(c) 6
(d) 8
27. Find the median of 2,1,0,3,1,14,0,1 and 2.
(a) 0.0
(b) 0.5
(c) 1.0
(d)1.5
Number of goals
1
2
3
4
5
6
7
Number of teams
3
1
6
6
4
2
3
The table shows the distributions of goals scored by 25 teams in a football competition. Use it to answer questions 28 and 29.
28. Calculate the probability that a team selected at random scored at most 3 goals.
(a) 3/25
(b) 1/5
(c) 6/25
(d) 2/5
29. Find the probability that a team selected at random scored either 4 or 7 goals.
(a) 9/25
(b) 11/25
(c) 3/5
(d) 18/25
30. What type of quadrilateral is the shaded region?
(a)Trapezium
(b) Prism
(c) Rectangle
(d) Rhombus
31. Calculate the area of the part of the rectangle that is not shaded.
(a) 25 cm^2
(b) 24 cm^2
(c) 16 cm^2
(d) 12 cm^2
32. The total surface area of a hemisphere is 75πcm^2. Find its radius
(a) 5.0 cm
(b) 7.0 cm
(c) 8.5 cm
(d) 12.0 cm
33. Find the values of x for which x−5/x(x−1) is
(a) 0 or 5
(b) -5 or 5
(c) -1 or 5
(d) 0 or 1
34. Solve the equation 2x2 – x-6=0.
(a) x=−3/2 or 2
(b) x=−2 or 3/2
(c) x=−3 or 2
(d) x=3 or−2
35. Factorize completely the expression (x+2)2 – (2 x+1)2
(a) (3 x+2)(1- xx)
(b) (3 x+2)(1- x)
(c) (3 x+2)2
(d) 3( x+1)(1- x)
36. Find the nth term of the sequence 2 x 3, 4 x 6
(a) 2n x 3(n + 1)
(b) 2n x 3n
(c) 2n x 3n
(d) 2n x 3n-1
37. If 3x = 4 (mod 5), find the least value of xx
(a)1
(b) 2
(c) 3
(d) 4
38. The solution of x + 2 ≥ 2 x + 1 is illustrated on the number line as
39. If p and q are two statements, under what condition would p – q be false?
(a) If p is true and q is true
(b) If p is true and q is false
(c) If p is false and q is false
(d) If p is false and q is true
41. Find the interquartile range of 1,3,4,5,8,9,10,11,12,14,16
(a) 6
(b) 7
(c) 8
(d) 9
42. Donations during the launching of a church project were sent in sealed envelopes. The table shows the distribution of the amount of money in the envelopes.
No. of envelopes
4
7
20
9
4
5
3
1
2
Number of teams
5000
2000
1000
700
500
100
50
2
10
How much was the total donation?
(a) N26,792.00
(b) N26,972.00
(c) N62,792.00
(d) N62,972.00
44. If x: y = 14 : 38 and y: z = 13 : 49, find x: z
(a) 2:3
(b) 3:4
(c) 3:8
(d) 1:2
45. Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45.
(a) 8
(b) 9
(c) 10
(d) 10
46. M and N are two subsets of the universal set (U). if n(U)=48, n(M)=20, n(N)=30 and n(MUN)=40, find n(MՈN)’.
(a) 18
(b) 20
(c) 30
(d)38
47. Express 0.612 in the form x/y, where x and y are integers and y≠0.
(a)153/250
(b) 68/111
(c) 61/100
(d) 21/33
49. The diagonals of a rhombus WXYZ intersect at M. if |MW|= 5 cm |MX|= 5cm, calculate its perimeter.
(a) 42 cm
(b) 48cm
(c) 52 cm
(d) 60 cm
50. The graphs of y= x2 and y= x intersect at which of these points?
(a) (0,0), (1,1)
(b) 0,0), (0,1)
(c) (1,0)(0,0)
(d) (0,0)(0,0)
note: answers will be uploaded soon.
WAEC GCE Past Mathematics Theory Questions
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 the 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 represents 5km. Find the area on the map that represents 100km2.
A. 2cm2
B. 4cm2
C. 8cm2
D. 8cm2
Structure of The WAEC Council
WAEC GCE Mathematics Questions and Answers For 2023-FAQs
The West African Examinations Council (WAEC) is an examination board that was established in 1952 to conduct examinations in the English-speaking West African countries. WAEC's mission is to "determine the examinations required in the public interest in the English-speaking West African countries, to conduct the examinations and to award certificates comparable to those of equivalent examining authorities internationally."
There are many benefits to taking WAEC exams. WAEC exams are recognized by universities and other institutions of higher learning around the world. This means that students who pass WAEC exams can use their certificates to gain admission to universities and other institutions of higher learning.
To register for WAEC exams, you can visit the WAEC website or contact your local WAEC office. You will need to provide your name, date of birth, and contact information. You will also need to pay a registration fee.
WAEC exams are offered in a variety of subjects, including English, mathematics, science, social studies, and languages. The specific subjects that are offered vary from year to year.