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### Jamb Hello Viewer, Am back again with this great article for UTME United Tertiary Matriculation Examination candidate, are you getting prepare for the upcoming UTME examination and you have been searching for the correct & updated syllabus for mathematics subject, then you are at the right portal,

Are you participating in the 2021/22 United Tertiary Matriculation Examination, then start preparing now, no time to waste time. without wasting much of you time i will highlight the first step you need to take:

1. Choice a course
2. Make a research on the course
3. Search for the O’level requirement of the course
4. Then Lastly, make research on the Jamb Subject combination of the course if mathematics is among then you are good to go (Note: All engineering course & statistics usually as mathematics in their Jamb subject combination.

Now let move on:

### Jamb Mathematics Syllabus General Objective

The aim of this 2021/2022  Unified Tertiary Matriculation Examination (UTME) syllabus in Mathematics is to prepare the candidates for the Board’s examination. It is designed to test the achievement of the course objectives, which are to:

1. acquire computational and manipulative skills;
2. develop precise, logical, and formal reasoning skills;
3. develop deductive skills in interpretation of graphs, diagrams, and data;
4. apply mathematical concepts to resolve issues in daily living

JAMB MATHEMATICS SYLLABUS IS DIVIDE INTO FIVE SEGMENT:

1. Number and Numeration
2. Algebra
3. Geometry / Trigonometry.
4. Calculus
5. Statistics

### Jamb Mathematics Syllabus Topics For Number and Numeration

1. NUMBER BASE:

• operations in different number bases from 2 to 10;
• conversion from one base to another including fractional parts.
Candidates should be able to:
i. perform four basic operations (x,+,-,÷)
ii. convert one base to another.

2. FRACTIONS, DECIMALS, APPROXIMATION AND PERCENTAGE:

• fractions and decimals;
• significant figures;
• decimal places;
• percentage errors;
• simple interest;
•  profit and loss percent;
• ratio, proportion and rate;
• shares and valued added tax (VAT).
Candidates should be able to:
i. perform basic operations
(x,+,-,÷) on fractions and decimals;
ii. express to specified number of significant figures and decimal places;
iii. calculate simple interest, profit and loss percent; ratio proportion and rate;
iv. Solve problems involving share and VAT.

3. INDICES, LOGARITHM, AND SURDS:

• laws of indices;
• standard form;
• laws of logarithm;
• logarithm of any positive number to a given base;
• change of bases in logarithm and application;
• relationship between indices and logarithm;
• surds.
Candidates should be able to:
i. apply the laws of indices in calculation;
ii. establish the relationship between indices and logarithms in solving problems;
iii. solve problems in different bases in logarithms;
iv. simplify and rationalize surds;
v. perform basic operations on surds.

4. SETS:

• types of sets
• algebra of sets
• venn diagrams and their applications.
Candidates should be able to:
i. identify types of sets, i.e empty, universal, complements, subsets, finite, infinite and disjoint sets;
ii. solve problems involving cardinality of sets;
iii. solve set problems using symbol;
iv. use venn diagrams to solve problems involving not more than 3 sets.

### Jamb Mathematics Syllabus Topics For Algebra

1. POLYNOMIALS:

• change of subject of formula
• factor and remainder theorems
• factorization of polynomials of degree not exceeding 3.
• multiplication and division of polynomials
• roots of polynomials not exceeding degree 3
• simultaneous equations including one linear one quadratic;
• graphs of polynomials of degree not greater than 3.
Candidates should be able to:
i. find the subject of the formula of a given equation;
ii. apply factor and remainder theorem to factorize a given expression;
iii. multiply and divide polynomials of degree not more than 3;
iv. factorize by regrouping difference of two squares, perfect squares and cubic expressions; etc.
v. solve simultaneous equations – one linear, one quadratic;
vi. interpret graphs of polynomials including applications to maximum and minimum values.

2. VARIATION:

• direct
• inverse
• joint
• partial
• percentage increase and decrease.
Candidates should be able to:
i. solve problems involving direct, inverse, joint and partial variations;
ii. solve problems on percentage increase and decrease in variation.

3. INEQUALITIES:

• analytical and graphical solutions of linear inequalities;
• quadratic inequalities with integral roots only.
Candidates should be able to:
i. solve problems on linear and quadratic
inequalities;
ii. interprete graphs of inequalities.

4. PROGRESSION:

• nth term of a progression
• sum of A. P. and G. P.
Candidates should be able to:
i. determine the nth term of a progression;
ii. compute the sum of A. P. and G.P;
iii. sum to infinity of a given G.P.

5. BINARY OPERATIONS:

• properties of closure, commutativity, associativity and distributivity;
• identity and inverse elements (simple cases only).
Candidates should be able to:
i. solve problems involving closure, commutativity, associativity and distributivity;
ii. solve problems involving identity and inverse elements.

6. MATRICES AND DETERMINANTS:

• algebra of matrices not exceeding 3 x 3;
• determinants of matrices not exceeding 3 x 3;
•  inverses of 2 x 2 matrices
[excluding quadratic and higher degree equations].
Candidates should be able to:
i. perform basic operations (x,+,-,÷) on matrices;
ii. calculate determinants;
iii. compute inverses of 2 x 2 matrices.

### Jamb Mathematics Syllabus Topics For Geometry and Trigonometry

1. EUCLIDEAN GEOMETRY:

• Properties of angles and lines
• Polygons: triangles, quadrilaterals and general polygons;
• Circles: angle properties, cyclic quadrilaterals and intersecting chords;
• construction.
Candidates should be able to:
i. identify various types of lines and angles;
ii. solve problems involving polygons;
iii. calculate angles using circle theorems;
iv. identify construction procedures of special angles, e.g. 30°, 45°, 60°, 75°, 90° etc.

2. MENSURATION:

• lengths and areas of plane geometrical figures;
• lengths of arcs and chords of a circle;
• Perimeters and areas of sectors and segments of circles;
• surface areas and volumes of simple solids and composite figures;
• the earth as a sphere:- longitudes and latitudes.
Candidates should be able to:
i. calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures;
ii. find the length of an arc, a chord, perimeters and areas of sectors and segments of circles;
iii. calculate total surface areas and volumes of cuboids, cylinders. cones, pyramids, prisms, spheres and composite figures;
iv. determine the distance between two points on the earth’s surface.

3. LOCUS:

• locus in 2 dimensions based on geometric
• principles relating to lines and curves.
Candidates should be able to:
identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles.

4. COORDINATE GEOMETRY:

• midpoint and gradient of a line segment;
• distance between two points;
• parallel and perpendicular lines;
• equations of straight lines.
Candidates should be able to:
i. determine the midpoint and gradient of a line segment;
ii. find the distance between two points;
iii. identify conditions for parallelism and perpendicularity;
iv. find the equation of a line in the two-point form, point-slope form, slope intercept form and the general form.

5. TRIGONOMETRY:

• trigonometrical ratios of angels;
• angles of elevation and depression;
• bearings;
• areas and solutions of triangle;
• graphs of sine and cosine;
• sine and cosine formulae.
Candidates should be able to:
i. calculate the sine, cosine and tangent of angles between – 360° ≤ θθ ≤ 360°;
ii. apply these special angles, e.g. 30°, 45°, 60°, 75°, 90°, 105°, 135° to solve simple problems in trigonometry;
iii. solve problems involving angles of elevation and depression;
iv. solve problems involving bearings;
v. apply trigonometric formulae to find areas of triangles;
vi. solve problems involving sine and cosine graphs.

### Jamb Mathematics Syllabus Topic For Calculus

1. DIFFERENTIATION:

• limit of a function
• differentiation of explicit algebraic and simple trigonometrical functions – sine, cosine and tangent.
Candidates should be able to:
i. find the limit of a function
ii. differentiate explicit algebraic and simple trigonometrical functions.

2. APPLICATION OF DIFFERENTIATION:

• rate of change;
• maxima and minima.
Candidates should be able to:
solve problems involving applications of rate of change, maxima and minima.

3. INTEGRATION:

• integration of explicit algebraic and simple trigonometrical functions;
• area under the curve.
Candidates should be able to:
i. solve problems of integration involving algebraic and simple trigonometric functions;
ii. calculate area under the curve (simple cases only).

### Jamb Mathematics Syllabus Topic For Statistic

1. REPRESENTATION OF DATA:

• frequency distribution;
• histogram, bar chart and pie chart.
Candidates should be able to:
i. identify and interpret frequency distribution tables;
ii. interpret information on histogram, bar chat and pie chart

2. MEASURES OF LOCATION:

• mean, mode and median of ungrouped and grouped data – (simple cases only);
• cumulative frequency.
Candidates should be able to:
i. calculate the mean, mode and median of ungrouped and grouped data (simple cases only);
ii. use ogive to find the median, quartiles and percentiles.

3. MEASURES OF DISPERSION:

• range, mean deviation, variance and standard deviation.
Candidates should be able to:
calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data.

4. PERMUTATION AND COMBINATION

• Linear and circular arrangements;
• Arrangements involving repeated objects.
Candidates should be able to:
solve simple problems involving permutation and combination.

5. PROBABILITY:

• experimental probability (tossing of coin, throwing of a dice etc);
• Addition and multiplication of probabilities (mutual and independent cases).
Candidates should be able to:
solve simple problems in probability (including addition and multiplication).

### JAMB RECOMMENDED TEXTBOOK FOR MATHEMATICS

• Adelodun A. A (2000) Distinction in Mathematics: Comprehensive Revision Text, (3rd Edition) Ado -Ekiti: FNPL.
• Anyebe, J. A. B (1998) Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher/ institutions, Lagos: Kenny Moore.
• Channon, J. B. Smith, A. M (2001) New General Mathematics for West Africa SSS 1 to 3, Lagos: Longman.
• David -Osuagwu, M. et al (2000) New School Mathematics for Senior Secondary Schools, Onitsha: Africana – FIRST Publishers.
• Egbe. E et al (2000) Further Mathematics, Onitsha: Africana – FIRST Publishers
• Ibude, S. O. et al (2003) Agebra and Calculus for Schools and Colleges: LINCEL Publishers.
• Tuttuh – Adegun M. R. et al (1997), Further Mathematics Project Books 1 to 3, Ibadan: NPS Educational
• Wisdomline Pass at Once JAMB.

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### Jamb Jamb Geography Syllabus, Hello Viewer in this article i would like to share the latest & updated syllabus for Jamb Geography, Are you among those that are getting prepared for the upcoming UTME examination if yes, have you been searching for Jamb Geography Syllabus if yes, then i guess this article is for you:

Are you participating in 2020/21 United Tertiary Matriculation Examination, then start prepare now, without wasting much of you time i will highlight the first step you need to take:

1. Choice a course
2. Make research on the course
3. Search for the O’level requirement of the course
4. Then Lastly, make research on Jamb Subject combination of the course if Geography subject is among then you are good to go.

## Jamb Geography Syllabus General Requirement.

The aim of the Unified Tertiary Matriculation Examination (UTME) syllabus in Geography is to prepare the candidates for the Board’s examination. It is designed to test their achievement of the course objectives, which are to:

1. handle and interpret topographical maps, statistical data and diagrams and basic field survey;
2. demonstrate knowledge of man’s physical and human environment and how man lives and earns a living on earth surface with special reference to Nigeria and Africa;
3. show understanding of the interrelationship between man and his environment;
4. apply geographical concepts, skills and principles to solving problems.

## Jamb Geography Syllabus Topics 2020/2021

I. PRACTICAL GEOGRAPHY

1. Scale and measurement distances, areas reduction and enlargement, directions,
bearings and gradients with reference to topographical maps.
2. Map reading and interpretation; drawing of cross profiles, recognition of intervisibility, recognition and description of physical and human features and relationship as depicted on topographical maps.
3. Interpretation of statistical data; maps and diagrams
4. Elementary Surveying chain and prismatic, open and close traverse, procedure, problems, advantages and disadvantages.

II. PHYSICAL GEOGRAPHY

1. The earth as a planet
• The earth in the solar system, rotation and revolution;
• The shape and size of the earth
• Latitudes and distances, longitudes and time;
• The structure of the earth (internal and external).
2. Rocks
• Types and characteristics
• Modes of formation
• Uses of rocks
3. Landforms
• processes; earth movements (faulting, folding, earthquakes, volcanicity),
erosion, transportation and deposition.
• Modifying agents; water (surface and Underground) wind and sea waves;
• Types of landforms associated with the Processes and agents specified above
(Karst topography, plains fold mountains, faulted landforms, volcanic mountains, deltas, river terraces, barchans seifs and zeugens).
4. Water Bodies
• Oceans and seas (world distribution, salinity and uses);
• Ocean currents – types, distribution, causes and effects;
• Lakes – types, distribution and uses.
5. Weather and Climate
• Concept of weather and climate
• Elements of weather and climate
• Factors controlling weather and climate (pressure, air, mass, altitude, continentality and winds);
• Classification of climate (Greek and Koppen).
• Major climate types (Koppen), their Characteristics and distribution.
• Measuring and recording weather parameters and instruments used.
6. Vegetation
• Factors controlling growth of plants
• The concept of vegetation e.g. plant communities and succession
• Major types of vegetation, their characteristics and distribution,
• Impact of human activities on vegetation.
7. Soils
• Definition and properties
• Factors and processes of formation
• Soil profiles
• Major tropical types, their characteristics, distribution and uses;
• Impact of human activities on soils.
8. Environmental Resources;
• Types of resources (atmospheric, land, soil, Vegetation and minerals);
• The concept of renewable and non-renewable resources;
9. Environmental interaction:
• Land ecosystem
• Environmental balance and human interaction
10. Environmental: hazards
• Natural hazards (droughts, earth-quakes, volcanic eruptions, flooding)
• Man-induced (soil erosion, Deforestation, pollution, flooding Desertification)
• Effects, prevention and control of hazards.

III. HUMAN GEOGRAPHY

1. Population
• World population with particular reference to the Amazon Basin, N.E. U.S.A., India, Japan and the West Coast of Southern African.
• Characteristics – birth and death rates, ages/sex structure.
• Factors and patterns of population distribution;
• Factors and problems of population growth;
2. Settlement with particular reference to Western Europe, Middle East and West Africa;
• Types and patterns: Rural and Urban, Dispersed, nucleated and linear;
• Rural settlement: classification, factors of growth and functions;
• Urban settlement – classification, factors for growth and functions.
• Problems of urban centres
• Interrelationship between rural and urban settlements.
3. Selected economic activities
• Types of economic activities: primary, secondary and tertiary;
• Manufacturing industries, types, locational factors, distribution and socioeconomic importance and problems of industrialization in tropical Africa.
• Transportation and Communication types, roles in economic development and
communication in tropical Africa.
routes and destinations).

IV. REGIONAL GEOGRAPHY
A. Nigeria

• Location, position, size, political division – (states) and peoples;
• Physical settling: geology, relief, landform, climate and drainage, vegetation and soils;
• Population: size, distribution, migration, (types, problems and effects);
• Natural Resources: types (minerals, soils, Water, vegetation etc) distribution, uses and Conservation;
• Agricultural Systems: the major crops produced, problems of agricultural development in Nigeria.
• Manufacturing Industries: factors of location, types of products, marketing
and problems associated with manufacturing;
• Transportation and trade: modes of transportation and their relative
2. Geographical Regions of Nigeria
• Eastern Highlands;
• Eastern Scarpland;
• Northern Central Highland
• Western Highlands;
• Sokoto Plains;
• Niger-Benue trough;
• Cross River Basin;
• Southern Coastland each region analysed under the following sub-headings: physical setting (relief,drainage etc) people, population and settlements, modes of exploitation of natural resources, transportation and
problems of development.

B. The Rest of Africa:

• Location, size, position, political settings (relief, drainage, climate
type, Vegetation type etc).
• Distribution of major minerals
2. Selected Topics
• Lumbering in equatorial Africa with particular reference to Cote d’voire
(Ivory Coast) and the Democratic Republic of Congo.
• Irrigation Agriculture in the Nile and Niger Basin;
• Plantation Agriculture in West and East Africa
• Fruit Farming in the Mediterranean Regions of Africa.
• Mineral Exploitation
– Gold mining in South Africa
– Copper mining in the Democratic Republic of the Congo
– Crude oil production in Algeria and Libya
• Population Distribution in West Africa
• International Economic Cooperation in West Africa, e.g. ECOWAS

## Jamb Geography Syllabus Recommended  Textbook

Adeleke, B.O. and Leong, G.C. (1999). Certificate Physical and Human Geography (West African Edition), Ibadan: Oxford.
Bradshaw, M. name(s)? (2004). Contemporary World Regional Geography, New York: McGraw Hill
Bunet, R.B and Okunrotifa, P.O. (1999). General Geography in Diagrams for West Africa, China: Longman. Collins New Secondary Atlas, Macmillan
Fellman, D. name(s)? (2005). Introduction to Geography (Seventh Edition) New York: McGraw Hill
Getis, A. name(s)? (2004). Introduction to Geography (Ninth Edition) New York: McGraw Hill
Iloeje, N. P (1999). A New Geography of West Africa, Hong Kong: Longman
Iloeje, N.P (1982). A New Geography of Nigeria (New Education), Hong Kong: London
Nimaku, D.A. (2000). Map Reading of West Africa, Essex: Longman.
Okunrotifa, P.O. and Michael S. (2000). A Regional Geography of Africa (New Edition), Essex: London.
Udo, R.K (1970). Geographical Regions of Nigeria, London: Longman.
Waugh, D. (1995). Geography an Integrated Approach (Second Edition), China: Nelson
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