HIGHEST COMMON FACTOR (HCF)
The product of 2 and 3 is; 2 x 3 = 6 2 and 3 are factors of 6 The factors of a number are numbers that divide the number without a remainder EXAMPLE Find the common factors of…
Acadlly Learning
Lesson Notes, Audio Lessons, Exam Questions
Acadlly Learning
Lesson Notes, Audio Lessons, Exam Questions
Category Mathematics Notes For All Classes
Welcome to our Mathematics Notes section for all classes, designed to help students and teachers access well-organized, syllabus-aligned content.
These notes cover important topics from junior to senior secondary school, following the latest BECE, WAEC, and NECO curriculum standards.
The lessons are structured in a simple and clear way to make learning easier and more effective.
Whether you are preparing for internal exams or major external examinations like WAEC and NECO, these Mathematics notes will strengthen your understanding and boost your confidence.
Check out topics like algebra, geometry, statistics, trigonometry, and more, all organized for easy reading and quick reference.
Get free Mathematics notes for all classes. Easy-to-understand lessons based on WAEC and NECO syllabus. Perfect for students and teachers.
LEAST COMMON MULTIPLES (LCM)
Example 1: Find the least common multiples of 2 and 3 The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and 24 The multiples of 3 are: 3, 6, 9, 12, 15, 18,…
SQUARES AND SQUARE ROOTS OF NUMBERS
SQUARES AND SQUARE ROOTS OF NUMBERS (1- digit and 2 – digit numbers) Example: 1: find 22 = 4 2 =( 2 x 2) + ( 4 x 4) = 4 + 16 = 20 Example 2: find 42…
MULTIPLICATION OF NUMBERS
MULTIPLICATION OF NUMBERS BY 2-DIGIT NUMBERS Example 1 multiply 25 by 12 Method 1: column form method 2: Expanded form 2 5 25 x 12 = 25 x (10 = 2) x 1 2 = (25 x 10)…
Area of Plane Figures
Area of Plane Figures
ANGLES AND PLANE FIGURES
Content
a.) Types of angles
b.) Angles on a straight line
c.) Angles at a point
d.) Angles on a transversal (corresponding, alternate and allied angles)
e.) Angle properties of polygons
f.) Application to real life situations
MASS, WEIGHT AND DENSITY
Content
(a.) Mass and units of mass
(b.) Weight and units of weight
(c.) Density
(d.) Problem solving involving real life experiences on mass, volume, density and weight.
VOLUME AND CAPACITY
Understand the difference between volume and capacity, their practical applications, formulas, and units in mathematics. Learn with real-life examples.
AREA
Content
(a.) Units of area (cm2 , m2 , km2 , Ares, ha)
(b.) Conversion of units of area
(c.) Area of regular plane figures
(d.) Area of irregular plane shapes
(e.) Surface area of cubes, cuboids and cylinders
LENGTH
Content
(a.) Units of length (mm, cm, m, km)
(b.) Conversion of units of length from one form to another
(c.) Significant figures
(d.) Perimeter
(e.) Circumference (include length of arcs).
RATES, RATIO, PROPORTION AND PERCENTAGE
Content
(a.) Rates
(b.) Solving problems involving rates
(c.) Ratio
(d.) Comparing quantities using ratio
(e.) Increase and decrease in a given ratio
ALGEBRAIC EXPRESSION
Content
(a.) Letters for numbers
(b.) Algebraic fractions
(c.) Simplification of algebraic expressions
(d.) Factorization by grouping
(e.) Removal of brackets
(f.) Substitution and evaluation
(g.) Problem solving in real life situations.
SQUARE AND SQUARE ROOTS
Content
(a.) Squares by multiplication
(b.) Squares from tables
(c.) Square roots by factorization
(d.) Square roots from tables.
DECIMALS
Content
(a.) Fractions and decimals
(b.) Recurring decimals
(c.) Recurring decimals and fractions
(d.) Decimal places
(e.) Standard form
(f.) Operations on decimals
(g.) Order of operations
(h.) Real life problems involving decimals.
FRACTIONS
Content
(a.) Fractions
(b.) Proper, improper fractions and mixed numbers.
(c.) Conversion of improper fractions to mixed numbers and vice versa.
(d.) Comparing fractions.
(e.) Operations on fractions.
(f.) Order of operations on fractions
(g.) Word problems involving fractions in real life situations.
LOWEST COMMON MULTIPLE(L.C.M)
Specific Objectives
By the end of the topic the learner should be able to:
a.) List multiples of numbers.
b.) Find the L CM of a set of numbers.
c.) Apply knowledge of L CM in real life situations
INTERGERS
Integers Content
(a.) Integers
(b.) The number line
(c.) Operation on integers
(d.) Order of operations
(e.) Application to real life situations
DIVISIBILITY TEST
DIVISIBILITY TEST
Specific Objectives
By the end of the topic the learner should be able to:
The learner should be able to test the divisibility of numbers by 2, 3, 4, 5, 6, 8, 9, 10 and 11.
Content
Divisibility test of numbers by 2, 3, 4, 5, 6, 8, 9, 10 and 11
HIGHEST COMMON FACTOR
A Highest Common Factor or Greatest Common Divisor is the largest number that is a factor of two or more numbers.
When looking for the Highest Common Factor/Greatest Common Factor, you are only looking for the COMMON factors contained in both numbers.
FACTORS
Content
a.) Factors of composite numbers.
b.) Prime factors.
c.) Factors in power form
Introduction
Definition
A factor is a number that divides another number without a remainder.