WAEC GCE Mathematics questions and answers 2023.Β Welcome to 2023 WAEC Mathematics Questions and Answers. You will findΒ WAEC GCEΒ Mathematics Objective Answers, WAEC Mathematics Essay 2023, WAEC GCE 2023 Mathematics, and the tips you need to pass your WAEC GCE Mathematics examination with ease.
WAEC GCE Mathematics Essay and Objectives Questions and Answers (Expo)
The 2023 WAEC GCE Mathematics expo will be posted on this page during the WAEC GCE Mathematics examination. Keep checking and refreshing this page for the answers.
WAEC GCE Nov/Dec Mathematics Questions and Answers 2023 Loadingβ¦
GCE Maths OBJ Loading…
————————————————————————————-
Note: The answers below are the 2020 Nov/Dec answers.
1-10: BDBBBDCDCC
11-20: AACCADA-AA
21-30: DDBDADADAD
31-40: AABAADCCDC
41-50: CCBDAABACD
More Answers Loading… Keep reloading this page
——————————————————————————————————-
These questions below are for practice.
1. Simplify:ββ β108 108 ββ +β125125ββ Β-ββ β75.75.
(a) β33ββ +ββ 5β555ββ ββ
(b).ββ 6β36β3ββ -ββ 5β555ββ
(c)ββ 6β36β3ββ +ββ β22ββ
(d).ββ 6β36β3ββ -ββ β22ββ
2. Evaluate:ββ (64^1/2+ 125^1/3)64^1/2+ 125^1/3
(a). 121
(b). 144
(c) 169
(d). 196
3. Given thatββ yββ varies inversely as the square ofββ x.ββ ifββ x=3 whenββ y=100, find the equation connecting ββ xββ andββ y
(a) yx2=300
(b).ββ yx2=900
(c)ββ yx2=100x9100x9ββ
(d) y = 900x2 ββββ
4. Find the value ofββ x for which 32fourββ = 22 base x
(a). three
(b) five
(c) Six
(d) seven
5. Simplify:ββ 2 whole number1/4 x 3 whole number1/2 Γ·4 whole number3/8
(a).ββ 5/9
ββ (b)ββ 1 whole number1/5ββ
(c)ββ 1 whole number 1/4ββ
(d)ββ 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 log10ββ (6 xβ4) x-4)ββ β log10ββ 2=1, solve forββ xx
(a). 2
(b) 3
(c) 4
(d) 5
8. If F =ββ 9C/5+ 32, find C when F = 98.6
(a) 30
(b) 37
(c) 39
(d) 41
9. Ifββ y Γ·ββ 2 x ββ = 4 andββ yβ3x=β1, ββ find the value of (x+y)
(a) 3
(b) 2
(c) 1
(d) -1
10. Ifββ x:y:z=2:3:4,ββ Evaluateββ 9x+3y/6zβ2y
(a)1 whole number1/2ββ
(b)ββ 2
(c)ββ ββ 2 whole number1/2ββ
(d)ββ 3
11. Simplify:ββ 2β18m^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 whenββ y = 0,ββ xββ = -2 orββ x=3. Find the equation for the curve.
(a).ββ y= x^2-5 x -6
(b).ββ y= x^2+5xβ6
(c)ββ y= x2+xβ6
(d)ββ y=x^2- x-6
13. The volume of a cylindrical tank, 10m high is 385m3. Find the diameter of the tank. Takeββ Ο=22/7
(a). 14 m
(b). 10 m
(c). 7 m
ββ (d). 5 m
14. The surface of a sphere isββ 7927cm27927cm2. Find correct to the nearest whole number, its volume. Takeββ ββ [Ο=22/7]
(a)113 cm^3
ββ (b)ββ 131cm^3
(c)ββ 311cm^3
(d)ββ 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.ββ Takeββ Ο=22/7
(a) 1700ββ
(b) 1770ββ
(c) 1820ββ
(d) 1920ββ
16.
In the diagram which of the following ratios isββ equal toββ β£PNβ£ / β£PQβ£
(a) β£PNβ£/ β£PRβ£ββ
(b).ββ β£PMβ£/β£PQβ£
ββ (c)βββ£PMβ£/β£PRβ£
ββ (d)ββ β£PR/ β£PQβ£
ββ17.
In the diagramββ PSββ andββ RSββ are tangents to the circle centre O,ββ <PSRββ = 700,ββ <PORββ = m andββ <PQRββ = n. Find (m+n).
(a) 1100ββ
(b) 1350ββ
(c) 1650ββ
(d) 2250
ββ 18.
Find the value of t in the diagram
(a) 630ββ
(b) 1170ββ
(c) 1260ββ
(d) 2340ββ
ββ 19.
In the diagram,ββ PRββ is a tangent to the circle at Q, QT//RS,ββ <SQR = 350ββ andββ <RSQ = 500. Find the value ofββ <QST.
(a) 400ββ
(b) 650ββ
(c) 85ββ
(d) 950ββ
20. The angles of a polygon areββ x, 2 x , 2 x, (x-300), (x-200) and (x-100). Find the value ofββ x.
(a) 450ββ
(b) 840ββ
(c) 850ββ
(d) 950
21. Ifββ Mββ ββ andββ Nββ are the points (-3, 8) and (5, -7) respectively, findββ |MN|.
(a) 8 units
(b) 11 units
(c) 15 units
(d) 17 unitsββ
22. The equation of the line through the points (4, 2) and (-8, -2) isββ 3yββ = p xββ +ββ q, whereββ ppβ andββ qββ are constants. Find the value ofββ p.
(a) 1
(b) 2
(c) 3
(d) 9
Recommended: WAEC GCE Physics Questions and Answers
23. The angle of elevation of the top of a tree from a point 27 mββ away and on the same horizontal ground as the foot of the tree is 300. Find the height of the tree.
(a) 27 m ββ
(b) 13.5β3 mββ
(c)ββ 13.5β2 m
(d)ββ 9β3 m
24. If tanββ x=4/3, 00ββ < x<900, find the value of sinββ xββ – cos x .
(a) 1/10ββ
(b)ββ 1/5ββ
(c)ββ 5/12ββ
(d)ββ 1 whole number 2 /5
25. Given thatββ Yββ is 20ββ mββ on a bearing of 3000ββ fromββ X, how far south ofββ Yββ isββ X?
(a) 10 m ββ
(b) 15 m
ββ (c) 25 m ββ
(d) 30 m
26. The mean of 1,3,5,7 andββ xββ is 4. Find the value ofββ .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 goalsββ | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Number of teamsββ | 3 | 1 | 6 | 6 | 4 | 2 | 3 |
The table shows the distributions of goals scored byββ 25 teams in a football competition. Use it to answer questions 28 and 29.
28. Calculate the probability that a teamββ selected at random scored at most 3 goals.
(a) 3/25ββ
(b)ββ 1/5ββ
(c)ββ 6/25ββ
(d)ββ 2/5
29. Find the probability that a team selected at random scored either 4 or 7 goals.
(a) 9/25 ββ
(b)ββ 11/25 ββ
(c)ββ 3/5 ββ
(d)ββ 18/25
In the diagram, WXYZ, is a rectangle with dimension 8cm by 6cm,ββ P,ββ Q,ββ Rββ and S are the midpoints of the sides of the rectangle as shown. Use this information to answer questionsββ 30ββ andββ 31.
30. What type of quadrilateral is the shaded region?
(a)Trapezium
(b)ββ Prism
(c) Rectangle
(d) Rhombus
31. Calculate the area of the part of the rectangle that isββ not shaded.ββ
(a) 25ββ cm^2ββ
(b) 24 cm^2 ββ
(c) 16 cm^2 ββ
(d)ββ 12 cm^2
32. Theββ total surface area of a hemisphere is 75Οcm^2. Find its radius
(a) 5.0 cm ββ
(b) 7.0ββ cmββ
(c) 8.5ββ cmββ
(d)ββ 12.0 cm
33. Find the values ofββ xββ for whichββ xβ5/x(xβ1)ββ isββ
(a) 0 or 5
(b) -5 or 5
(c) -1 or 5
(d) 0 or 1
34. Solve the equation 2x2ββ – x-6=0.
(a) x=β3/2ββ or 2
(b)ββ x=β2 or 3/2ββ
(c)ββ x=β3 or 2
(d)ββ x=3 orβ2
35. Factorize completely the expression (x+2)2ββ β (2 x+1)2
(a) (3 x+2)(1- xx)ββ
(b) (3 x+2)(1- x)ββ
(c) (3 x+2)2ββ
(d) 3( x+1)(1- x)
36. Find the nthββ term of the sequence 2 x 3, 4 x 6
(a) 2nββ x 3(n + 1)
(b) 2nββ x 3n
(c) 2nββ x 3n ββββ
(d) 2nββ x 3n-1
37. If 3xββ = 4 (mod 5), find the least value ofββ xx
(a)1
(b) 2
(c) 3
(d) 4
38. The solution ofββ xββ + 2ββ β₯ββ 2 x ββ + 1 is illustrated on the number line as
39. Ifββ pββ andββ qββ are two statements, under what condition wouldββ pββ βββ qββ beββ false?
(a) Ifββ pββ is true andββ qββ is true
(b) Ifββ pββ is true andββ qββ is false
(c) Ifββ pββ is false andββ qββ is false
(d) Ifββ pββ is false andββ qββ is trueββ
40.
The diagram shows a trapezium inscribed in aββ semi-circle. If O is mid-point of WZ andββ |WX| =ββ |XY|ββ =ββ |YZ|, calculate the value ofββ m.m.
(a) 900ββ (b) 600ββ (c) 450ββ (d) 300ββ
ββββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββββ
41. Find the interquartile range of 1,3,4,5,8,9,10,11,12,14,16
(a) 6
(b) 7
(c) 8
(d) 9ββ
42. Donations during the launching of a church project were sent in sealed envelopes. The table showsββ the distribution of the amount of money in the envelopes.
No. of envelopes | 4 | 7 | 20 | 9 | 4 | 5 | 3 | 1 | 2 |
Number of teamsββ | 5000 | 2000 | 1000 | 700 | 500 | 100 | 50 | 2 | 10 |
How much was the total donation?
(a) N26,792.00
(b)ββ N26,972.00
(c)ββ N62,792.00
(d)ββ N62,972.00
43.
ββ ββ ββ ββ ββ In the diagram, PQ is a straight line, (m+n)=1100, (n+r) = 1300ββ and (m+r)= 1200, find the ratio of m:n:r.
(a) 2:3:4
(b) 3:4:5
(c) 4:5:6
(d) 5:6:7
44. Ifββ x: y = 14 : 38 andββ y: z = 13ββ : 49, findββ 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(MΥN)β.
(a) 18
(b) 20
(c) 30
(d)38
47. Express 0.612 in the formββ x/y, whereββ xββ andββ yββ are integers andββ yβ 0.
(a)153/250
ββ (b)ββ 68/111ββ
(c)ββ 61/100ββ
(d)ββ 21/33
ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββ ββββ
In the diagram, PQ//RS. Findββ xxββ in terms ofββ yββ andββ z.
(a)x=2400ββ + y- z ββ
(b)ββ x=1800ββ + y- z ββ
(c)ββ x=3600ββ + y- zββ
(d)ββ x=3600– y- z
49. The diagonals of a rhombus WXYZ intersect at M. ifββ |MW|= 5 cmββ |MX|= 5cm, calculate its perimeter.
(a) 42 cm
(b)ββ 48cmββ
(c) 52ββ cmββ
(d)ββ 60ββ cm
50. The graphs ofββ y= x2ββ andββ y= xββ intersect at which of these points?
(a) (0,0), (1,1)
(b) 0,0), (0,1)
(c) (1,0)(0,0)
(d)ββΒ (0,0)(0,0)ββΒ
If you have any questions aboutΒ WAEC GCE Mathematics Questions and Answers 2023, kindly drop your questions in the comment box.
Last Updated on October 2, 2023 by Admin
Good morning sir.
Please theory
sir also with the answer pls
sir please can i get the theory part for mathematics and chemistry
Please I need theory and objective
Pls I need physics, chemistry and mathematics questions with answer.
I need math theory and obj
Pls I need the theory questions
I need thory and question
Please i need the theory
Please can i get the theory question only.
i also need the theory please its urgent
I need both theory and objectives
Good morning sir
I will need waec 2022 theory .
Thank you sir, will be expecting
I need waec mathematies only theory 2022
Please I need both Theory and objective and their answer
Mathematics , chemistry,physic
Please I need both Theory and objective and their answer
Please I need marketing questions
Am having marketing MAY 17
please i need waec theory 2022 it is more compulsory than objective
Pls if you can get me waec 2022 theory i will be very glad. Theory only please
Please I need common topics that come out in all subjects