Year 10

BSM offers hundreds of year 10 maths skills to explore and learn.

reception Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 Year 11 Year 12
    Numbers and Operations 10
  • Identifying Subset Of The Number System
  • Classify Real Numbers : Mixed Review
  • Compare the subset of the number system
  • Rounding Real Numbers
  • Estimating Real Numbers
  • Complex Fractions
  • Simplify Complex Fractions
  • Multiply and divide rational expressions
  • Write A Recurring Decimal As A Fraction
  • Translating algebraic expressions into mathematical sentences
  • Translating mathematical sentences into algebraic expressions
  • Estimating Surds
    Domains 10
  • Defining Domains
  • Domains Representation In Numbers Line
  • Identifying different types of domains
  • Elements Of Domains : Center, Length, Radius And Limites
  • Intersection Of Two Domains
  • Union Of Two Domains
  • Identifying different types of domains
    Absolute Value 10
  • Defining The Absolute Value Of Real Number
  • Distance And Absolute Value
  • Distance Between Tow Points
  • Distance Between Tow Real Numbers
  • Properties Of Absolute Value
    Exponents 10
  • Exponents : Mixed Review
  • Exponent With Negative, Decimal, Fractional Bases
  • Mixed Power Rule
  • Simplifying Exponential Expressions
  • Negative Exponent
  • Multiplication with integer exponent
  • Division With Integer Exponent
  • Multiplication And Division With Integer Exponent
  • Simplifying Exponential Expressions involving integer exponent
  • Fraction Exponent
  • Power Rule With Integer Exponent
  • Multiplication With Fraction Exponent
  • Division With Fraction Exponent
  • Multiplication and division with fraction exponent
  • Power Rule With Fraction Exponent
  • Simplifying Exponential Expressions Involving Fraction Exponent
  • Evaluate Expressions Using Properties Of Exponent
  • Identify Equivalent Expressions Involving Integer And Fraction Exponent
    Arithmetic Sequence 10
  • Defining Sequences
  • Defining Arithmetic Sequences
  • Defining Arithmetic Mean
  • Computing For The Arithmetic Mean
  • Identifying The Nth Term Of A Arithmetic Sequence
  • Identifying Sum Of a Given Arithmetic Sequence
    Geometric Sequence 10
  • Solving Problems Involving Arithmetic Sequences
  • Defining Geometric Sequences
  • Differentiating Arithmetic Sequence From Geometric Sequence
  • Defining Finite Geometric Sequence
  • Defining Infinite Geometric Sequence
  • Defining Geometric Mean
  • Computing For Geometric Mean
  • Identifying The Nth Term Of A Geometric Sequence
  • Determining The Sum Of A Given Geometric Sequence
  • solves problems involving geometric sequences
    Other types of sequences 10
  • Describing harmonic sequence
  • Describing Fibonacci Sequence
    Polynomial Functions 10
  • Defining Polynomial Functions
  • Identifying domain of polynomial functions
  • Identifying range of polynomial functions
  • Evaluating Polynomial Functions
  • Graphing Polynomial Functions
  • Solving Problems involving Polynomial Functions
    Hyperbolic Functions 10
  • Defining Hyperbolic Functions
  • Identifying Domain of Hyperbolic Functions
  • Identifying Range of Hyperbolic Functions
  • Evaluating Hyperbolic Functions
  • Graphing Hyperbolic Functions
  • Solving Problems involving Hyperbolic Functions
    Operations on Polynomials 10
  • Classifying polynomials
  • Addition of Monomials
  • Subtraction of Monomials
  • Multiplying two binomials
  • Multiplying a monomial and a binomial
  • Multiplying a binomial and a trinomial
  • Square of a Binomial
  • Cube of a Binomial
  • Common factors
  • Difference of Two Squares
  • Perfect Square Trinomial
  • Determining roots of polynomials using Synthetic Division
  • Determining roots of polynomials using remainder theorem
  • Dividing Polynomials using Long Division
  • Dividing Polynomials using Synthetic Division
  • Identifying quotient using Remainder Theorem
  • Identifying quotient using Factor Theorem87 Identifying quotient using Factor Theorem
  • Factors polynomials using any method
  • Determining roots of polynomials using Factor Theorem
  • Factoring by Grouping
    Functions 10
  • Defining functions: mixed review
  • Identifying Domain of a function
  • Find the domain of the function from the graph
  • Find the domain of the function from the table
  • Find the domain of the function from the set of ordered pairs
  • Identifying Range of a function
  • Find the Range of the function from the graph
  • Find the Range of the function from the table
  • Find the Range of the function from the set of ordered pairs
  • Domain and range of function from the table
  • Domain and range of function from the graph
  • Find values using function equations
  • Evaluation of functions
  • Operations on functions addition
  • Operations on functions multiplication
  • Operations on functions division
  • Composition of Functions
  • Identify types of functions from graphs
  • Identify types of functions from equations
  • Find the Range of the function from the set of ordered pairs
  • Domain and range of function from the table
  • Domain and range of function from the graph
  • Domain and range of function from the set of ordered pairs
  • Find values using function graphs
  • Operations on functions subtraction
    Refrence functions 10
  • Identify linear, affine, quadratic, and cubic functions from graphs
  • Identify affine, quadratic, rational and radical functions from graphs
  • Identify sine, cosnie, and absolute value functions from graphs
  • Identify linear, affine, quadratic, and cubic functions from tables
  • Identify linear, quadratic, rational and radical functions from tables
  • Identify sine, cosnie, and absolute value functions from tables
  • Write linear, affine, quadratic, and cubic functions
  • Write linear, quadratic, rational and radical functions
  • Write sine, cosnie, and absolute value functions
  • Increasing functions
  • Decrease functions
  • Constante functions
  • Identify increase, Increase and constant intervals (Refrence function)
  • Finding the Maximum Values of a Function
  • Finding the Minimum Values of a Function
  • Positive, negative and neither intervals
  • Symmetric Functions
  • Even functions
  • Odd function
  • Periodic function
    Quadratic function 10
  • Identify quadratic function from the equation
  • Identify quadratic function from the graph
  • Identify quadratic function from the table
  • Identify quadratic function from set of ordered pairs
  • Domain of quadratic function
  • Complete a function table from the equation of quadratic function
  • Complete a function table from the graph of quadratic function
  • Write quadratic function to solve word problems
  • Solving Problems involving quadratic Functions
  • Compare quadratic function: graphs, tables and equations
  • Write equations in standard form from tables, grahs and mappings and lists of points
  • Evaluating quadratic Functions
  • Quadratic function over unit intervals
  • Identify increase, Increase and constant intervals
  • Properties of quadratic functions
  • Range of quadratic function
    Rational Function 10
  • Identify rational function from the equation
  • Identify rational function from the graph
  • Identify rational function from the table
  • Identify quadratic function from set of ordered pairss
  • Domain of rational functions
  • Range of rational function
  • Complete a function table from the equation of rational function
  • Complete a function table from the graph of rational function
  • Write rational function to solve word problems
  • Solving Problems involving rational Functions
  • Compare rational function: graphs, tables and equations
  • Write equations of rational function in standard form from tables, grahs and mappings and lists of points
  • Evaluating rational Functions
  • Rational function over unit intervals
  • Identify increase, Increase and constant intervals of rational Function
  • Rational function Properties
    Cubic Function 10
  • Identify cubic function from the equation
  • Identify cubic function from the graph
  • Identify cubic function from the table
  • Identify cubic function from set of ordered pairs
  • Domain of cubic function
  • Range of cubic function
  • Complete a function table from the equation of cubic function
  • Complete a function table from the graph of cubic function
  • Write cubic function to solve word problems
  • Solving Problems involving cubic Functions
  • Compare cubic function: graphs, tables and equations
  • Write equations of cubic function in standard form from tables, grahs and mappings and lists of points
  • Evaluating cubic Functions
  • Cubic function over unit intervals
  • Identify increase, Increase and constant intervals of cubic function
  • Cubic function Properties
    Radical Function 10
  • Identify radical function from the equation
  • Identify radical function from the graph
  • Identify radical function from the table
  • Identify radical function from set of ordered pairs
  • Domain of radical function
  • Range of radical function
  • Complete a function table from the equation of radical function
  • Complete a function table from the graph of radical function
  • Write radical function to solve word problems
  • Solving Problems involving radical Functions
  • Write equations in standard form from tables, grahs and mappings and lists of points
  • Evaluating radical Functions
  • Radical function over unit intervals
  • Identify increase, Increase and constant intervals of radical function
  • Radical function Properties
  • Write radical function to solve word problems
  • Solving Problems involving radical Functions
  • Compare radical function: graphs, tables and equations
  • Solving Problems involving cosine Functions
  • Compare cosine function: graphs, tables and equations
  • Write equations in standard form from tables, grahs and mappings and lists of points
    Absolute Value Function 10
  • Identify absolute value function from the equation
  • Identify absolute value function from the graph
  • Identify absolute value function from the table
  • Identify absolute value function from set of ordered pairs
  • Domain of absolute value function
  • Range of absolute value function
  • Complete a function table from the equation of absolute value function
  • Complete a function table from the graph of absolute value function
  • Write absolute value function to solve word problems
  • Solving Problems involving absolute value Functions
  • Compare absolute value function: graphs, tables and equations
  • Write equations in standard form from tables, grahs and mappings and lists of points
  • Evaluating absolute value Functions
  • Absolute value function over unit intervals
  • Identify increase, Increase and constant intervals of absolute value function
  • Absolute value function Properties
    Sine Functions 10
  • Identify sine function from the equation
  • Identify sine function from the table
  • Identify sine function from the table
  • Identify sine function from set of ordered pairs
  • Domain of sine function
  • Range of sine function
  • Complete a function table from the equation of quadratic function
  • Complete a function table from the graph of sine function
  • Write sine function to solve word problems
  • Solving Problems involving sine Functions
  • Compare sine function: graphs, tables and equations
  • Write equations of sine function in standard form from tables, grahs and mappings and lists of points
  • Evaluating sine Functions
  • Sine function over unit intervals
  • Identify increase, Increase and constant intervals of sine function
  • Sine function Properties
    Cosine Functions 10
  • Identify cosine functions from the equation
  • Identify cosine function from the graph
  • Identify cosine function from the table
  • Identify cosine function from set of ordered pairs
  • Domain of cosine function
  • Range of cosine function
  • Complete a function table from the equation of cosine function
  • Complete a function table from the graph of cosine function
  • Write cosine function to solve word problems
  • Evaluating Cosine Functions
  • Cosine function over unit intervals
  • Identify Decrease, Increase and constant intervals
  • Cosine function Properties
    Equations 10
  • dentifying linear Equations
  • Solving Linear Equations
  • Types of systems of Linear Equations
  • Solving Systems of Linear Equations by Elimination Method
  • Solving Systems of Linear Equations by Substitution Method
  • Identifying Quadratic Equations
  • Solving Quadratic EquatIions
    Solving Problems involving linear Equations 10
  • Linear equations : number Problems
  • Linear equations : age Problems
  • Linear equations : geometry Problems
  • Linear equations : distance Problems
  • Linear equations : mixture Problems
    Solving Problems Involving Quadratic Equations 10
  • Quadratic equations : number Problems
  • Quadratic equations : geometry Problems
  • Quadratic equations : distance Problems
    Inequalities 10
  • Representing Linear Inequalities
  • Solving Linear Inequalities algebraically
  • Writing solutions of linear inequalities in interval notation
  • Graphing Solutions of Linear Inequalities
    Quadrilaterals Shapes 10
    Coordinate Geometry 10
  • Cartesian plane : mixed review
  • Relation of chasles
  • Translation
  • Subtract vectors
  • Determining slope of a line
  • Determining equation of a line
  • Determining parallel lines
  • Determining perpendicular lines
  • Determining points on a line
  • Determining midpoint of a line using midpoint formula
  • Cartesian Plane : Mixed Review
  • Computing For Distance Between Two Points Using Distance Formula
  • Vectors Properties
  • Equal Vectors
  • Opposing Vectors
  • Null Vectors
  • The Sum Of Vectors
  • Parallelogram Rule
  • Relation Of Chasles
  • Translation
  • Multiply Vectors In Real Number
  • Subtract Vectors
  • Determining Slope Of A Line
  • Determining Equation Of A Line
    Trigonometry 10
  • Identifying parts of right triangle: mixed review
  • Angle Units
  • Trigonometric Circle
  • Deriving the value of sine
  • Deriving the value of cosine
  • Deriving the value of tangent
  • Deriving the value of cosecant
  • Deriving the value of secant
  • Deriving the value of cotangent
  • Special Angles 45°-45°-90°
  • Special Angles 30°-60°-90°
  • Trigonometric ratios: sin, cos and tang
  • Trigonometric ratios: csc, sec and cot
  • Find trigonometric functions of special angles: sin, cos and tan
  • Find trigonometric functions of special angles: csc, sec and cot
  • Find trigonometric functions using a calculator
  • Trigonometric ratios: find a side length
  • Trigonometric ratios: find an angle measure
  • Solve a right triangle
  • Law of Sines
  • Law of Cosines
  • Solve a triangle
  • Area of a triangle : sine formula
  • Graph sine functions
  • Graph cosine functions
  • Graph sine and cosine functions
    Circles 10
  • Identifying parts of a circle
  • Illustrating secants of a circle
  • Illustrating tangents of a circle
  • Illustrating segments of a circle
  • Illustrating sectors of a circle
  • Identifying relations among chords, arcs, central angles, and inscribed angles
    Angles 10
  • Identifying right angles
  • Identifying obtuse angles
  • Identifying acute angles
  • Identifying reflex angles
  • Identifying straight angles
  • Identifying pair of supplementary angles
  • Identifying pair of complementary angles
  • Identifying pair of vertical angles
  • Identifying pair of adjacent angles
  • Solving complementary of an angle
  • Solving supplementary of an angle
    Parallel and transversal lines 10
  • Identifying pairs of interior angles
  • Identifying pairs of exterior angles
  • Identifying pairs of corresponding angles
  • Identifying pairs of co-interior angles
  • Identifying pairs of alternate interior angles
  • Determining unknown angle measurement
  • Defining Parallel And Transversal Lines
    Triangles 10
  • Determining a triangle
  • Proving triangle congruence by RHS (right, hypotenuse, side)
  • Proving triangle congruence by SSS (side,side, side)
  • Proving triangle congruence by SAS (side,angle, side)
  • Proving triangle congruence by AAS (angle, angle, side)
  • Proving triangle similarity by AAA (angle, angle, angle)
  • Proving triangle similarity by SSS (side, side, side)
  • Solving missing lengths
    Area of Polygons 10
  • Computing area of square
  • Computing area of rectangle
  • Computing area of triangle
  • Computing area of trapezium
  • Computing area of parallelogram
  • Computing area of circle
  • Solving Problems involving square area
  • Solving Problems involving rectangle area
  • Solving Problems involving triangle area
  • Solving Problems involving trapezium area
  • Solving Problems involving parallelogram area
  • Solving Problems involving circle area
    Two-dimensional word problems 10
  • Illustrating Angle of Elevation
  • Illustrating angle of depression
  • Real world problems involving angle of elevation
  • Real world problems involving angle of depression
    Right Prisms And Cylinders 10
  • Illustrating rectangular prism
  • Illustrating cube
  • Illustrating triangular prism
  • Illustrating cylinder
  • Computing surface area of rectangular prism
  • Computing surface area of cube
  • Computing surface area of triangular prism
  • Computing surface area of cylinder
  • Computing volume of rectangular prism
  • Computing volume of cube
  • Computing volume of triangular prism
  • Computing volume of cylinder
  • Solving problems involving rectangular prism
  • Solving problems involving cube
  • Solving problems involving triangular prism
  • Solving problems involving cylinder
    Right Pyramids, right cones and spheres 10
  • Illustrating square pyramid
  • Illustrating triangular pyramid
  • Illustrating right cone
  • Illustrating sphere
  • Computing surface area of square pyramid
  • Computing surface area of triangular pyramid
  • Computing surface area of right cone
  • Computing surface area of sphere
  • Computing volume of square pyramid
  • Computing volume of triangular pyramid
  • Computing volume of right cone
  • Computing volume of sphere
  • Solving problems involving square pyramid
  • Solving problems involving triangular pyramid
  • Solving problems involving right cone
  • Solving problems involving sphere
  • Computing volume of square pyramid
  • Computing volume of triangular pyramid
  • Illustrates FPC
  • Computing Volume Of Triangular Pyramid
  • Computing Volume Of Right Cone
    Conic Sections 10
  • Identifying Conic Sections
  • Identifying parts of conic section
  • Determining characteristics of a parabola
  • Writing equation of a parabola in standard form
  • Writing equation of a parabola in vertex form
  • Solving problems involving parabola
  • Determining characteristics of a hyperbola
  • Writing equation of a hyperbola in standard form
  • Writing equation of a hyperbola in vertex form
  • Solving problems involving hyperbola
  • Determining characteristics of an ellipse
  • Writing equation of an ellipse in standard form
  • Writing equation of an ellipse in vertex form
  • Solving problems involving ellipse
  • Determining characteristics of a circle
  • Writing equation of a circle in standard form
  • Writing equation of a circle in vertex form
  • Solving problems involving circle
    Probability fundamental principle of counting 10
  • Illustrates FPC
  • Computes FPC
  • Solves problems involving FPC
  • Illustrates permutation
  • Computes for permutations of n objects taken r at a time
  • Solves problems involving permutation
  • Illustrates combination
  • Differentiates permutation from combination
  • Computes for combinations of n objects taken r at a time
  • Solves Problems Involving Combination
  • Illustrating Probability
  • Determining Experiment
  • Determining Outcome
  • Determining Sample Space
  • Determining Event
    Theoretical probability 10
  • Identifying Theories of Probability
  • Computing probability
  • Illustrates probability using Venn Diagrams
  • Interprets Venn Diagrams
  • Solves probabilities using Venn Diagrams
  • Illustrates union of events using Venn Diagram
  • Illustrates intersection of events using Venn Diagram
  • Illustrates mutually exclusive events
  • Illustrates complementary events
  • Solves problems involving mutually exclusive events
  • Solves problems involving complementary events
  • Interprets Venn Diagrams
    Propositions 10
  • Illustrating Propositions
  • Identifying Simple Propositions
  • Identifying Compound Propositions
  • Translating Mathematical Sentences into Propositions
  • Identifying logical operators
  • Identifying truth values of propositions
  • Identifying types of conditional propositions
  • Determining converse of a conditional statement
  • Determining contrapositive of a conditional statement
  • Identifying basic equivalences
  • Determining Inverse Of A Conditional Statement
    Quadrilaterals 10
  • Determining a Quadrilateral
  • Identifying Properties of Parallelograms
  • Identifying Properties of Rectangles
  • Identifying Properties of Rhombus
  • Identifying Properties of Square
  • Identifying Properties of Trapezium
  • Identifying Properties of Kite
  • Identifying Properties of Rectangles
    Random Variables 10
  • Defining Random Variables
  • Identifying Discrete Random Variables
  • Dentifying Continuous Random Variables
  • Defining Random Probability Distribution
  • Illustrating Random Probability Distribution Using Equations
  • Illustrating Random Probability Distribution Using Tables
  • Illustrating Random Probability Distribution Using Graphs
  • Properties Of A Random Probability Distribution
    The Normal Curve 10
  • Properties Of A Normal Probability Distribution
  • Converting Raw Scores To Z-Scores
  • Converting Z-Scores To Raw Scores
  • Determining Probabilities Under The Normal Curve
  • Locating Percentiles Under The Normal Curve
  • Solving Problems Involving Areas Under The Normal Curve
    Sampling And Sampling Distribution 10
  • Defining Population
  • Defining Sample
  • Defining Sample Distribution Of The Sample Means
  • Computing The Mean Of Sample Distribution Of The Sample Means
  • Computing The Variance Of Sample Distribution Of The Sample Means
  • Computing The Standard Deviation Of Sample Distribution Of The Sample Means
    Estimation Of Parameters
  • Solving Problems Involving Sample Distribution Of The Sample Means
  • Computing Point Of Estimate Of A Population Mean
  • Computing Interval Estimate Of A Population Mean
  • Defining Central Limit Theorem
  • Computing For A Sample Mean Given Population Mean And Standard Deviation
  • Computing For A Sample Standard Deviation Given Population Mean And Standard Deviation
  • Making Inferences From A Population
    Estimation Of Parameters 10
  • Computing For Confidence Level
  • Computing For Sample Size
  • Defining Point Of Estimate
  • Computing For A Sample Mean Given Population Mean And Standard Deviation
    Descriptive Statistics 10
  • Defining Quantitative And Qualitative Data
  • Defining Relative Frequency
  • Defining Cumulative Frequency
  • Defining The Mean
  • Calculating The Mean
  • Defining The Median
  • Calculating The Mean
  • Defining The Mode
  • Identifying Outliers
  • Solving Problems Involving Mean
  • Solving Problems Involving Median
  • Solving Problems Involving Mode
  • Defining The Mode
  • Organizing Data Using Tables
  • Organizing Data Using Graphs
  • Interpreting Data Using Tables
  • Interpreting Data Using Graphs
    Statistics Measure Of Dispersion 10
  • Defining The Range
  • Calculating The Range
  • Defining Percentiles
  • Calculating Percentiles
  • Defining Quartiles
  • Calculating Quartiles
  • Defining Standard Deviation
  • Calculating Standard Deviation
  • Defining Variance
  • Calculating Variance
  • Solving Problems Involving Percentiles
  • Solving Problems Involving Quartiles
    Business Mathematics Simple Interest 10
  • Illustrating Simple Interest
  • Finding Value Of F
  • Finding The Value Of I
  • Finding The Value Of P
  • Finding Value Of R
  • Finding The Value Of T
  • Solving Problems Involving Simple Interest
    Business Mathematics Compound Interest 10
  • Illustrating Compound Interest
  • Finding The Value Of T
  • Solving Problems Involving Compound Interest
  • Finding The Value Of I
  • Finding The Value Of P
  • Finding Value Of R
  • Finding Value Of F