Neco Mathematics Answers 2022 21st July 2022

Neco Mathematics Answers 2022: EXPO: Neco Mathematics Obj & Essay Questions and Answers 2022/2023, 2022/2023 Neco EXPO ON Mathematics Obj & Essay QUESTIONS, 2022 Mathematics Obj & Essay Questions & Answers is Out.

MATHEMATICS OBJ
➖➖➖➖➖➖➖➖➖
01-10: CECCCEBEAE
11-20: DADDABCCCD
21-30: DACBCBADCC
31-40: BDCCBBDABB
41-50: CCDBBCEDCB
51-60: CBBEAEEBEC
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COMPLETED 🏆 ✅

Neco Mathematics Obj & Essay Answers 2022: here are the verified Neco 2022 Mathematics Obj & Essay questions and answers for SS3 students for Thursday 21st July 2022. Neco 2022 Mathematics Obj & Essay Questions and Answers.

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Neco Mathematics Obj & Essay Answers 2022

Thursday 21st July 2022

• Paper III: Objective – General Mathematics – 10:00 am – 11:45 am
• Paper II: Essay – General Mathematics – 12:00 pm – 2:30 pm

Neco 2022 Mathematics Obj & Essay Questions and Answers

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(6a)
A local government authority is an organization that is officially responsible for all the public services and facilities in a particular area.

(6b)
(i) Statutory functions:
The local governments were given specific statutory functions to perform.

(ii) Single tier:
All the local governments were made all- purpose single tier local government.

(iii) Appointment:
There was the appointment of full-time chairmen and supervisory councillors.

(iv) Condition of service:
The condition of service oflocal government staffwasunified with that of their counter-parts in state and federal civil service.

(v) Grants: Federal and state governments were made to give grants to local governments.
==============================
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(7)
(i)Preservation of existing cultural values:
The system of indirect rule was a success in the North because it preserved the existing cultural values of the native and also assisted in improving them to gradually accept or adapt to a modern system of government.

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(ii) The imposition and collection of tax:
The administration of indirect rule took the issue of tax collection very serious which was already in existence in the North.

(iii) Illiteracy:
Majority of the people in the North were illiterate as such they could not resist or challenge the colonial imposition or rule of the foreign power.

(iv) Centralization of power:
The administrative system in the North was highly centralised and it was thus adopted and accepted by the British through the use of the indirect rule.

(v) Obedience to traditional authorities:
Northern had great respect to constituted authorities and that made it easy for the indirect rule to be used to govern the people.

(vi) Training of local administrators:
The indirect rule aided in the training of the local leaders in the North in its method of administration.
==============================

(2)
(i) State of emergency:
When a state of emergency is declared in a country or state, citizens will find some of their rights denied in order to restore peace and order.

(ii) Custom and tradition:
The application of the rule of law may be limited in some cases when the custom and tradition of the people must be respected and preserved.

(iii) Diplomatic immunity:
Due to the fact that ambassadors and high commissioners enjoy some immunities and cannot be prosecuted or punished in the country where they are serving also pose a great limitation to the application of the rule of law.

(iv) Legislative immunity:
This also undermines the application of the rule of law due to the fact that the members of the parliament cannot be sued or prosecuted for any false or libellous statement made in the house whereas an ordinary man on the street can be punished for the same statement.

(v) Delegated legislation:
The delegation of law making power to some bodies other than the legislature often brings about complexity of law and abuse of such power which may lead to violation of fundamental human rights of the citizens even without the opportunity of seeking redress.

(vi) The type of government:
The type and system of government practiced in a country will determine the degree of the application of the rule of law. In a country where military or unitary system of government is adopted, there will be minimum application of the rule of law.
==============================

2022 NECO EXAM Mathematics Questions and Answers

NECO Mathematics Questions and Answers 2022/2023

NECO 2022 MATHEMATICS Questions And Answers [Obj

(1a)
A bill is a proposed law under consideration of the legislative arm which later be passed into law by the approval of the executive.

(1b)
(i) First reading:
This is the first stage of passing bill into law which requires the presentation of the drafted bill to the parliament. The bill is read to the hearing of the members of the legislature by the clerk of the house. After the title of the bill is read and there is no opposition, it will be printed into leaflets and distributed among the members for proper assessment before the second reading.

(ii) Second reading:
This is the stage which the bill will be deliberated and debated on. The presenter of the bill will be invited to explain the purpose of the bill and defend it. After which, the members will vote the bill to the next stage. If the bill receives majority votes, it will move to the next stage and if not, it will end without any amendment.

(iii) The committee stage:
Here, the bill is passed to one or more committees in the house for necessary amendment and discussion. There are different committees in the house which deliberate on different matters.

(iv) Report stage:
This is the stage in which the various findings about the bill will be documented during the of amendment. The findings or reports about the bill will be read by the speaker or Chairman of the standing committees.

(v) Third reading:
This is the last stage in which proper assessment and scrutinization will be carried out to ensure that the bill is properly amended. During this stage, another and final vote will be carried out before the bill is presented to the executive for approval. Once the assent is given to the bill by the executive president, then it bcomes law
==============================

(5)
(i) Free and fair election:
Democracy is Characterised by regular and periodic free and fair election. In a democratic state, the citizens cast their votes and elect those that will represent their interest in various political offices as a means of indirect participation in running the affairs of the state but in a military system, it is devoid of free and fair election but selection by the supreme leader.

(ii) Application of rule of law:
Democracy recognizes the equality of all citizens or classes of people in the country regardless of their economic, political or social status as it is expressed by the rule of law and due process.

(iii) Existence of political parties:
Democracy recognizes the establishment and existence of political parties preferably multiple party system in which individual parties present candidates who compete for power in the general election.

(iv) Existence and respect of fundamental human right:
In a democratic system of government, fundamental human rights are recognized, protected and respected in all aspects of life which is not respected in the military system.

NECO Mathematics Answers 2022 for Essay-Obj Questions

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NECO Mathematics 2022 Answers Objective and Essay

(iv) Supremacy of the constitution:
Democracy recognizes the supremacy of the constitution which determine the operationa and functions of all sectional groups and organizations in the state, showing that nobody is above the law but the constitution.

Most Nupe are farmers, and the staple crops are millet, guinea-corn, yams, rice, and groundnuts. Cassava, maize, and sweet potatoes (grown inland) are of secondary importance. The large proportion of seasonally flooded (fadama) land has allowed a greater emphasis on growing rice, sugarcane, and onions. This has encouraged the establishment of commercial growing and refining of sugar at Bacita. The Nupe practice hoe agriculture, using a large, heavy hoe called a zuku and a small hoe called dugba. The Nupe system of agriculture is based on shifting cultivation combined with rotation of crops. The low population densities and less intense form of agriculture allowed more of the original savanna to survive, and woodland products are significant, particularly from the shea-butter tree and the locust-bean tree. There are many fishermen in the villages on the banks of the Niger and Kaduna rivers and their tributaries. Cattle raising is engaged in by the Bororo Fulani, who move their herds from one pasture to another as necessity dictates.
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(NO 3)

Social and political organization of pre-colonial Izon (Ijaw) society
Generally, the Ijo are regarded as a non centralized group. Ikime (1980) has characterized the Ijo political system as that of a fragmented society in which the village group made up of people who claim descent from a given ancestor through the male line constitutes the bases of governance Essentially, the village is divided into quarters which are lineage groups usually founded by the various sons of the founder of the village. Each quarter is in turn made up of extended families each of which normally lives within a definite compound. In such a compound would be a man and his wives as well as grown-up sons and their wives and children. The compound represents the smallest unit of political and social organization amongst the Ijo.
Writing of the political structure among the western Ijo-our area of study, Alagoa as quoted by Okpevra (2005) informs that: “… the oldest man is automatically the head of the village community. He becomes the Ama-Okosowei, town-elder and Chairman of the village council, Amagula. The executive duties of the village council, Amagula, were, however, performed by a younger leader, the Ogulasuowei or spokesman. And in religious matters too, each village had its priest, Orukarowei, and the ethnic unit, Ibe, comprising a number of villages, had a chief priest, Pere. The Pere presided over the annual gathering of the Ibe members at the shine of the group god. … The Ama-Okosowei’s village administration was the unit of political organization in the western Delta, the ties of the Ibe consisting of a common dialect, usually a common group god, and the belief in common ancestor.
On the whole, the basic Ijo political system in pre-colonial times was a stateless organization based on the autonomous settlement, devoid of a centralizing force.
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(NO 4)

The activities of Royal Niger Company in the administration of Nigeria before 1899

In 1885 Sir George Goldie’s National African Company, an amalgamation of British companies, signed treaties with the Nigerian emirs of Sokoto and Gando (1885) by which it hoped to secure access to the Benue River and to Lake Chad—an avenue of expansion that the Germans, operating from the Cameroons, were preparing to close.

In 1886 the company received a charter of incorporation as the Royal Niger Company and was authorized to administer the Niger delta and the country on the banks of the Niger and Benue rivers. It engaged in a three-way struggle—with the French to the west and the Germans to the southeast—for the trade of the central Sudan.

The company imposed prohibitive dues on the people of Brass, in the Niger delta, who wished to trade at their traditional markets in the company’s territory, and it incurred such hostility that in 1895 its establishment at Akassa was attacked. In the north, it did not manage to subdue the Fulani empire, but it did conquer several emirates and compelled them to recognize its suzerainty.

The continuation of the company’s commercial and territorial disputes with France, together with continuing complaints from the people of Brass, led to the transference of the company’s charter to the imperial British government on Dec. 31, 1899.
=================================
(NO 5)
The attempt by the
Portuguese missionaries at Christianizing the people of Benin and Warri failed due to their interest in trade and commerce than mission.

In Benin and Warri, J.F. Ade Ajayi expresses that the religion at the beginning of the 14th century was ineffective. He describes the nonchalant attitude of the Oba of Benin who asked that Portuguese missionaries be sent to Benin and when they arrived, he was busy fighting a war in 1515. He dismissed them and suggested that they could return when he had much time that he could spare on leisure. When they returned in 1538, the king was no more interested in the religion. Due to this, traditional religion went on and even spread in Benin, and subsequently, Benin’s relationship with the white men dwindled greatly. Another effort towards Christianizing Benin came in the middle of the seventeenth century by the Spanish and Italian Capuchins. They speculated that winning the heart of the Oba whom his subjects so much adored might mean winning the hearts of all the subjects, as they would definitely obey him in whatever circumstances. They were however disappointed to be denied access to the king as they saw him only twice-in ten months and they were caged in the rooms provided for them. When they became too much adventurous in 1651 by trying to interrupt a traditional festival involving the use of human being as sacrificial material, they were deported.

The Warri axis of the Niger-Delta did not also prove promising though in 1570, the Olu of Warri was excited about the Christian faith by allowing one of his sons named Domingos sent to Portugal to be educated. The only benefit from this association was that the Warri rulers from 1570-1733 became professing Christians. So Christianity was curtailed to the palace. People were afraid to take their children out for baptism, as they believed that a baptized child would die prematurely. The Christian ritual about marriage was not having any influence on the people and circumcision rites in the traditional way remained. To crown it all, there were no regular supply of clergy to administer the sacraments that held very significantly in the Catholic Church. What we could say about this formation in Warri is that at least Christian shadow could be seen in the region and the word “Christianity” was already known and mumbled at least among the rulers.
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(NO 6)

An unforgettable event occurred across the ancient Hausa land in 1804 when Usman dan Fodio launched a jihad war that overran almost all northern and some parts of Yoruba land. After about one hundred and ten years of that jihad, precisely in 1914, the colonial government unified both the ancient Hausa states and all the parts that were conquered by the jihad with other tribes that never knew about the jihad to produce the present day Nigerian state. About forty six years after that unification, Nigeria secured the so-called independence from her colonial masters. In spite of its deficiencies, the unilateral amalgamation was sustained by Nigerians with the aim of having a nation state like other progressive nations of the world, where all avenues should be exploited to make her an economically strong and virile nation. A place where like the Independence National Anthem acknowledged and reflected; “though tribe and tongue may differ, in brotherhood we stand”. Many of the citizens yearned for a united country where tribes and tongues may naturally differ, yet live in peace and harmony as one united and indivisible country. A country where people can stand for brotherhood and be proud to serve their sovereign motherland as symbolized in the Green-White- Green of the national flag, that signifies Peace, Justice and Prosperity. Incidentally, this was echoed by the preface of the Nigerian 1999 Constitution as amended in 2011, “we the people of the Federal Republic of Nigeria having firmly and solemnly resolved to live in unity and harmony as one indivisible and indissoluble sovereign nation under God
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(NO 7)

The Nigerian Civil War (6 July 1967 – 15 January 1970; also known as the Nigerian-Biafran War or the Biafran War) was a civil war fought between the government of Nigeria and the Republic of Biafra, a secessionist state which had declared its independence from Nigeria in 1967. Nigeria was led by General Yakubu Gowon, while Biafra was led by Lt. Colonel Odumegwu Ojukwu.
The Nigerian Civil War lasted for two and a half years, from July 1967 until January 1970. Although many other African civil wars lasted much longer,.
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(NO 8)
(1) Nigeria has contributed towards the annual budget of the ECOWAS which has been used to execute the numerous social and economic programmes of the Community.

(2) Nigeria has helped to facilitate commerce and trade through the construction of roads linking up member states.

(3)She has contributed to the construction of a permanent Secretariat (Headquarters) in Abuja.

(4) Nigeria has regularly attended ECOWAS summits and Heads of Government meetings.

(5)Our country has participated in sports and cultural activities.

Neco Mathematics Essay Answers 2022

———————————————————-
(NUMBER 8)
ANOTHER VERSION

Mr Abiante, in the motion, said Nigeria has contributed more than $1.177billion to the ECOWAS as its community levy, and this is the highest contribution by any member state since its inception.

According to the lawmaker, the country is also contributing energy to member states and also military personnel for peacekeeping in Gambia, Mali, Sierra Leone, Guinea Bissau, and Liberia, among others.

He expressed dissatisfaction with the “big brother” approach of the federal government.
———————————————————-
(NUMBER 8. Another Version)

(8)
(i) Provision of high profile personnel for
the ECOWAS Secretariat agencies since its inception.
(ii) Nigeria Heads of State had served as

2022 Neco Mathematics (Obj & Essay) Questions and Answers Pdf, 2022 Neco Mathematics (Obj & Essay) Questions and Answers Pdf Download, 2022 Neco Mathematics (Obj & Essay) Questions and Answers
chairmen of ECOWAS.
(iii) Nigeria has played major roles in peace-keeping operations in Liberia, Sierra Leone and Cote d’lvoire.
(iv) Nigeria regularly attends all ECOWAS summits.
(v) Nigeria contributes to the development of ECOWAS by hosting summits and conferences.
(vi) Membership of ECOWAS Parliament
makes Nigeria to contribute to sub- regional issues.
(vii) Financial contributions: Nigeria pays her dues regularly to both the secretariat and the ECOWAS Fund
(viii) Actively participates in ECOWAS sponsored activities like trade fair, sports etc.

(1a)
Given A={2,4,6,8,…}
B={3,6,9,12,…}
C={1,2,3,6}
U= {1,2,3,4,5,6,7,8,9,10}

A’ = {1,3,5,7,9}
B’ = {1,2,4,5,7,8,10}
C’ = {4,5,7,8,9,10}
A’nB’nC’ = {5, 7}

(1b)
Cost of each premiere ticket = $18.50
At bulk purchase, cost of each = $80.00/50 = $16.00

Amount saved = $18.50 – $16.00
=$2.50

QUESTION 2

(2ai)
P = (rk/Q – ms)⅔
P^3/2 = rk/Q – ms
rk/Q = P^3/2 + ms
Q= rk/P^3/2 + ms

(2aii)
When P =3, m=15, s=0.2, k=4 and r=10
Q = rk/p^3/2 + ms = 10(4)/(3)^3/2 + (15)(0.2)
= 40/8.196 = 4.88(1dp)

(2b)
x + 2y/5 = x – 2y
Divide both sides by y
X/y + 2/5 = x/y – 2
Cross multiply
5(x/y) – 10 = x/y + 2
5(x/y) – x/y = 2 + 10
4x/y = 12
X/y = 3
X : y = 3 : 1

QUESTION 3

(3a)
Diagram
CBD = CDB (base angles an scales D)
BCD+CBD+CDB=180° (Sum of < in a D)
2CDB+BCD=180°
2CDB+108°=180°
2CDB=180°-108°=72°
CDB=72/2=36°
BDE=90°(Angle in semi circle)
CDE=CDB+BDE
=36°+90
=126

(3b)
(Cosx)² – Sinx given
(Sinx)² + Cosx
Using Pythagoras theory thrid side of triangle
y²= 1²+√3
y²= 1+ 3=4
y=√4=2
(Cosx)² – sinx/(sinx)² + cosx

(1/2)² – √3/2/
(√3/2)² + 1/2 = 1/4 – √3/2 = 1-2√3/4
3/4+1/2 = 3+2/4
=1-2√3/4 * 4/5
=1-2√3/5

QUESTION 4

(4a)
Total Surface Area = 224πcm²
r:l = 2:5
r/l = 2/5
Cross multiply
2l/2 = 5r/2
L = 5r / 2
Total surface = πrl + πr²
= πr (l + r)
24π/π = πr (5r/2 + r )/ π
224 = 5r²/2 + r²/1
L.c.m = 2
448 = 5r² + 2r²
448 / 7= 7r²/7
r² = 64
r = √64 = 8cm
L = 5*8/2 = 20cm

(4b)
Volume = 1/2πr²h
= 1/3 * 22/7 * 8 * 8 * 18.33
= 1228.98cm³
L² = h² + r ²
20² = h² + 8²
400 – 64 = h²
h² = 336
h = √ 336
h = 18.33cm

QUESTION 5

(5a)
Total income = 32+m+25+40+28+45
=170+m
PR(²)=m/170+m = 0.15/1
M=0.15(170+m)
M=25.5+0.15m
0.85m/0.85=25.5/0.85
M=30
+=====================

(5b)
Total outcome = 170 + 30 = 200

(5c)
PR(even numbers) = 30+40+50/200
=115/200 = 23/40

QUESTION 8

(8a)
Let Ms Maureen’s Income = Nx
1/4x = shopping mall
1/3x = at an open market

Hence shopping mall and open market = 1/4x + 1/3x
= 3x + 4x/12 = 7/12x

Hence the remaining amount
= X-7/12x = 12x-7x/12 =5x/12

Then 2/5(5x/12) = mechanic workshop
= 2x/12 = x/6
Amount left = N225,000
Total expenses
= 7/12x + X/6 + 225000
= Nx

7x+2x+2,700,000/12 =Nx
9x + 2,700,000 = 12x
2,700,000 = 12x – 9x
2,700,000/3 = 3x/3
X = N900,000

(ii) Amount spent on open market = 1/3X
= 1/3 × 900,000
= N300,000

(8b)
T3 = a + 2d = 4m – 2n
T9 = a + 8d = 2m – 8n
-6d = 4m – 2m – 2n + 8n
-6d = 2m + 6n
-6d/-6 = 2m+6n/-6
d = -m/3 – n
d = -1/3m – n

Neco Mathematics Objective Answers 2022

======================

QUESTION 9

(9a)
Draw the triangle

(9b)
(i)Using cosine formulae
q² = x² + y² – 2xycosQ
q² = 9² + 5² – 2×9×5cos90°
q² = 81 + 25 – 90 × 0
q² = 106
q = square root 106
q = 10.30 = 10km/h
Distance = 10 × 2 = 20km

(ii)
Using sine formula
y/sin Y = q/sin Q
5/sin Y = 10.30/sin 90°
Sin Y = 5 × sin90°/10.30
Sin Y = 5 × 1/10.30
Sin Y = 0.4854
Y = sin‐¹(0.4854), Y = 29.04

Bearing of cyclist X from y
= 90° + 19.96°
= 109.96° = 110°

(9c)
Speed = 20/4, average speed = 5km/h

(11a)
Diagram

(11b)
Given 8y+4x=24
8y=-4x + 24
y=4/8x + 24/8
y=-1/2x +3
Gradient = -1/2
Using m = y-y/x-x¹ and given (x¹=-8) (y¹=12)
-1/2=y-12/x+8
2(y-12)=-x-8
2y-24=-x-8
2y+x=24-8
2y+x=16

QUESTION 12

THE REASON FOR THE DELAY IS BECAUSE TODAY IS THE FIRST DAY, PLEASE BE PATIENT WHILE WE SORT THINGS OUT…

THEORY ANSWERS
(1a)
x¹ y¹. x¹ y¹
A (6,5). B ( -2 ,7)

The equation of a straight line
y² – y¹/x² – x¹ = y-y/x¹-x¹

7-5/-2-6 = y-5/x-6
2/-8 = y-5/x-6
-1/4 = y-5/x-6
4(y-5)= -1(x-6)
4y-20= -x+6
4y+x=6+20
4y+x=26

(1b)
∫² (2x + 9)dx
-²
2x²/2+9x + c|²_¹
x² + 9x + c|²_¹
(2² + 9(2) + C) – ((-1)² + 9 (-1)+ c)
(4+18+c) – (1-9+C)
(22 + C) – (-8 + C)
22+C + 8 – C
=30.
====================================
(2a)
To calculate u; 18+5+12+u=52
35+u=52
u=52-32=17
u=17

To calculate v
6+5+12+v=35
23+v=35
v=35-23=12
v=12

To calculate w
w+18+17+6+5+12+12
=100
w+70=100
w=100+70=30
w=30

(2b)
at least two means =18+6+5+12=41
; 41 tourist travelled by at least two means of transportation.
w=100+70=30
w=30

(2b)
at least two means =18+6+5+12=41
; 41 tourist travelled by at least two means of transportation.
=====================================
(3a)
(i)median =6+6/2=12/2=6
(ii)median + range = 6+7=13
Range = highest value – lowest value = 10-3=7

(3b)
Pr(both pass)
=2/5*3/4=6/20=3/10.
=====================================
(4a)
x²+3x-28=0
x²+7x-4x-28=0
x(x+7)-4(x+7)=0
(x-4)(x+7)=0
x-4=0 or x+7=0
x=0+4 or x=0-7
x=4 or -7

(4b)
8x/9 – 3x/2 =5/6 – x/1
L.c.m=54
6*8x-27*3x=9*5-54*x
48x-81x=45-54x
48x-81x+54x=45
21x/21=45/21
x=45/21=15/7=2⅐
=====================================
(5a)
Let u = 4x³ – 2x + 4 ,
y = u³ , du/dx = 12x²-2,
dy/du=3u²

dy/dx= dy/du*du/dx
=3u²*12x²-2
=(36x² – 6) u²
Recall u=4x³ – 2x + 4
dy/dx= (36x² – 6) (4x³-2x + 4)²

(5b)
5/3(2-x) – (1-x)/2-x = 2/3
L.c.m= 3(2-x)
5-3(1-x) = 2(2-x)
5-3+3x=4-2x
2+3x=4-2x
3x+2x=4-2
5x/5=2/5
x=2/5
================================
(6a)
Volume of a sphere = 9⅓ of its surface area 4/3 πr³=28/3*4πr²
4πr³/3*112πr²/3
3*4πr³=3*112πr²
12πr³=336πr²
Divide through by 12πr²
12πr³/12πr² = 336πr²/12πr²

r=28cm

(i)surface area =4πr²
=4*22/7*28cm*28cm
=98cm²

(ii) volume =4/3πr³
=4/3*22/7*28cm*28cm*28cm
=91989.33cm³ ≅ 91989cm³

(6b)
Log10 (3x-5)² – Log10 (4x-3)² =Log²⁵,¹⁰
(3x-5/4x-3)²=25
Square root both side
3x-5/4x-3=5/1
5(4x-3)=3x-5
20x-15=3x-5
20x-3x=-5+15
17x=10=x = 10/17
=====================================
(7a)
(y,x)
(3,2)perpendicular to the line 3x + 5y = 10
3x + 5y =10
5y/5= -3x/5 +10/5
y=3x/5 + 2
m=3/5

The equation of a line y= y¹=1/m(x-x¹)
y-2= 1/⅗(x-3)
y-2=-5/3(x-3)
3(y-2)=-5(x-3)
3y-6= -5x + 15
3y= – 5x + 15 + 6
3y/3= -5x/3 + 21/3
y= -5x/3 + 7
Gradient = -5/3 intercept = 7

(7b)
Compound interest = p(1+R/100)n-p
=8000(1+5/100)³ – 8000
=8000(1+0.05)³ – 8000
=9261 – 8000
Compound interest= ₦1261
====================================
(8a)
Ta; a+8d=50 ——–(1)
T12; a+11d=65———(2)
Subtract equation (1) from (2)
a+11d-(a+8d)=65-50
a+11d-a-8d=15
11d-8d=15
3d/3=15/3
d=5

Substitute for d=5 in each equation (1)
a+8d=50
a+8(5)=50
a+40=50
a=50-40=10
Sn=n/2(2a+(n-1)d)
S70=70/2(2*10+(70-1)5)
=35(20+69*5)
=35*365=12,775

(8b)
V=t²-3t+2
d³/dt=v
d³/dt=t²-3t+2
v=6²-3(6)+2
=36-18+2
v=20mls

Recall; ds/dt=v
ds=vdt
∫ds=∫vdt
S=∫vdt
S=∫20dt
S=20t+c
Where c is constant.
=====================================
(10a)
Let daughter = x
Woman = 4x
In 5 years time ;
daughter = x + 5
Woman = 4x + 5

(4x + 5)² = (x + 5)² + 120.

(4x + 5 ) (4x + 5) = (x + 5) (x + 5)+ 120

16x² + 20x + 20x + 25= x²+5x+5x+25+120

16x²+40x+25= x²+10x+145

16x²-x²+40x-10x+25-145=0
15x²+30x-120=0
Divide through by 15;
15x²/15+30x/15-120/15=0/15

x² + 2x – 8= 0
x² + 4x – 2x – 8= 0
x(x+4) – 2 (x + 4) = 0
(x-2) (x+4)=0
x – 2= 0 or x+ 4= 0
x=2 or x=-4
x=2

The daughters age is 2years

(10b)
t=w+wy²/pz
t-w/1 * wy²/pz
10/y²/10 = pz(t-w)/w
y=√pz(t-w)/w
y=√5*10(9-3)/3
y=√5*10*6/2
=√100=10
;y=10
=====================================
(11)
|Score|5-9|10-14|15-19|20-24|25-29|30-34|

|Frequency|3|10-T|3T|8|2T+2|T+2|

(a)Ʃ+=50
3+10-T+3T+8+2T+2+T+2=50

3+10+8+2+2-T+3T+2T+T=50

25+5T=50
5T=50-20
5T/5=25/5
T=5

(11b)
|Score|5-9|10-14|15-19|20-24|25-29|30-34|

|Frequency|3|5|15|8|12|7|

The frequency of the modal class is 15.

(11c)
Tabulate.
|Score|5-9|10-14|15-19|20-24|25-29|30-34|

|F|3|5|1|5|8|1|2|7|50

|X|7|12|17|22|27|32|

|FX|21|60|255|176|324|224|1060

|X-x̅|-14.2|-9.2|-4.2|0.8|5.8|10.8|

|(X-x̅)²|201.64|84.64|17.64|0.64|33.64|116.64|

F|(X-x̅)|604.92|423.2|264.6|5.12|403.68|816.48|2518

Mean (x̅) =Ʃfx/Ʃf=1060/50=21.2

Variance =Ʃf(x-x̅)²/Ʃf
=2518/50
=50.36
===================================
(12a)
y=²-2x-3
Tabulate
|x|-2|-1|0|1|2|3|
|y|5|0|-3|-4|-3|0|

(12b)
Graph.

(12c)
y=1-3x
|y|-2|-1|0|1|2|3|
|x|7|4|1|-2|-5|-8|

(12d)
(i)the root of the equation x² – 2x – 3= 1-3x are -3 and 1.6

(ii) the minimum value of y is – 4 and the corresponding value of x is 1
=====================================

Neco Mathematics (Obj & Essay) Answer 2022, Neco Mathematics (Obj & Essay) 2022, Neco 2022 Mathematics (Obj & Essay) Comprehension/Written Expression, Alternative to Mathematics (Obj & Essay) Past Questions Pdf.