YEAR 11

Get ready to tackle over 190 Year 11 Math abilities with Learndigo! Hover over each subject to check it out, then click to start practising.

Numbers

Learn - Rational and irrational numbers
1.1 - Identify rational and irrational numbers
Learn - Square root
1.2 - Find the square roots
Learn - Cube root
1.3 - Find the cube roots
1.4 - Evaluate numerical expressions involving rational numbers
1.5 - Square root and completing square

Exponents

Learn - Exponential form
2.1 - Evaluate exponential form
2.2 - Multiply and divide the basses with exponents
2.3 - Evaluate expressions using properties of exponents
Learn - Converting scientific notation into standard form
2.4 - Convert between scientific notation and standard form
2.5 - Select the correct sign to satisfy the relation
Learn - Evaluate using exponential rule
2.6 - Evaluate using exponential rules
2.7 - Exponents of like algebra

Solve equations

Learn - Evaluate linear equation
3.1 - Evaluate the linear equations
3.2 - Solve advanced linear equations
3.3 - Find the value of the missing literal
3.4 - Solve linear equations: word problems
3.5 - Solve linear equations to find the missing value
3.6 - Make the equations with no solutions or infinitely many solutions
3.7 - How many solution does the equation have?
Learn - Composite function
3.8 - Composite functions

Single-variable inequalities

Learn - One step linear equation
4.1 - Solve one-step linear inequalities
4.2 - Solve two-step linear inequalities
4.3 - Solve advanced linear inequalities
4.4 - Solve compound inequalities
4.5 - Make a compound inequality equation from the graph
Learn - Quadratic Inequalities
4.6 - Quadratic inequalities

Direct and inverse variation

Learn - Direct variation equation
5.1 - Make a direct variation equation
5.2 - Write and solve direct variation equations
5.3 - Make an inverse variation equation
5.3 - Make an inverse variation equation
5.4 - Write and solve inverse variation equations
Learn - Proportional relationship
5.5 - Identify proportional relationships
5.6 - Find the constant of variation
Learn - Direct and arithmetic sequence
5.7 - Direct and arithmetic sequence

Linear functions

Learn - Gradient from two points
6.1 - Find the gradient from two points
6.2 - Find a missing coordinate using gradient
6.3 - Find the gradient and y-intercept of a linear equation
6.4 - Write an equation in y=mx+c form
Learn - Equation in standard form
6.5 - Write equations in standard form
6.6 - Standard form: find x- and y-intercepts
6.7 - Gradients of parallel and perpendicular lines
Learn - Linear function
6.8 - Identify linear functions
6.9 - Linear inequalities

Simultaneous equations

Learn - Simultaneous equations
7.1 - Is (x, y) a solution to the simultaneous equations?
7.2 - Find the number of solutions to simultaneous equations
Learn - Simultaneous equations using substitution
7.3 - Solve simultaneous equations using substitution
7.4 - Solve simultaneous equations using substitution: word problems
7.5 - Solve simultaneous equations using elimination
Learn - System of equations
7.6 - System of equations

Exponential functions

Monomials

Learn - Monomials
9.1 - Identify monomials
9.2 - Multiply and evaluate monomials
Learn - Multiplying monomials
Learn - Dividing monomials
9.3 - Divide and evaluate monomials
9.4 - Multiply and divide monomials
9.5 - Evaluate monomials with exponents

Polynomials

Learn - Polynomial vocabulary
10.1 - Polynomial vocabulary
Learn - Add and subtract polynomials
10.2 - Add and subtract polynomials
10.3 - Multiply a polynomial by a monomial
10.4 - Multiply two binomials
10.5 - Multiply two binomials: special cases
10.6 - Multiply polynomials
Learn - Multiplying polynomials
10.7 - Add polynomials to find perimeter
10.8 - Model polynomials with algebra tiles

Factorising

Learn - HCF of monomials
11.1 - Find the HCF of monomials
Learn - Factorize monomials
11.2 - Factories monomial
11.3 - Factorize quadratics with leading coefficient 1
Learn - Factorization by grouping
11.6 - Factorization by grouping
11.4 - Factorize quadratics with other leading coefficients
11.5 - Factorize quadratics: special cases

Quadratic equations

Learn - Quadratic using square root nt
12.1 - Quadratic equation using square roots
12.2 - Quadratic equation using the zero product property
12.3 - Solve a quadratic equation by factorizing
Learn - Completing square
12.4 - Complete the square
12.5 - Solve a quadratic equation by completing the square
12.6 - Characteristics of quadratic functions
Learn - Quadratic Inequalities
12.7 - Quadratic inequalities

Families of functions

Radical expressions

Learn - Radical expression
14.1 - Radical expressions
14.2 - Radical expressions involving fractions
Learn - Multiplying radical expression
14.3 - Multiplying radical expressions
Learn - Adding and subtracting radical
14.4 - Adding and subtracting radical expressions
14.5 - Radical expressions: mixed review
14.6 - Simplify radical expressions using the distributive property
Learn - Rationalizing the denominator
14.7 - Rationalizing denominator

Rational exponents

Learn - Rational expression
15.1 - Evaluating rational exponents
Learn - Multiplication with rational exponents
15.2 - Multiplication with rational exponents
15.3 - Power rule with rational exponents
15.4 - Solving expressions involving rational exponents I
15.5 - Second derivatives of functions

Problem solving

Learn - Consecutive integers
16.1 - Consecutive integer problems
Learn - Rate of travel: Word probelms
16.2 - Rate of travel: word problems
Learn - Weighted averages: word problems
16.3 - Weighted averages: word problems
16.4 - Solving by substitution and elimination Quiz

Measurement

Learn - Convert units
17.1 - Convert the units
Learn - Metric mixed unit
17.2 - Metric mixed units
17.3 - Imperial mixed units
Learn - Conversion between metric and imperial
17.4 - Convert between metric and imperial units
Learn - Find the precision
17.5 - Find the Precision Quiz
Learn - Greatest possible error
17.6 - Find the greatest possible error
Learn - Percent error
17.7 - Find the percent error
17.8 - Area and volume of cylinder
17.8 - Area and volume of cylinder

Statistics

Learn - Mean, Mode, Range and Medain
18.1 - Find the mean, median, mode and range
Learn - Quartiles
18.2 - Quartiles
Learn - Mean absolute deviation
18.3 - Mean absolute deviation
Learn - Variance and standard deviation
18.4 - Find the variance and standard deviation
18.5 - Identify biased samples

Quadrilaterals

Probability

Learn - Theoretical probability
20.1 - Theoretical probability
Lean - Experimental probability
20.2 - Experimental probability
Learn - Dependent and independent events
20.3 - Identify independent and dependent events
20.4 - Probability of independent and dependent events

Two-dimensional figures

Introduction to triangles

With over 120 Year 11 English techniques, Learndigo helps you sharpen your skills! Hover to see a preview, then click to start practising.

Sentence structure

Learn - Types of Sentences
1.1 - is the sentence declarative, interrogative, imperative or exclamatory?
1.6 - Is the sentence simple, compound, complex or compound-complex?
Learn - Fragment and Run-on Sentence
1.2 - Identify sentence fragments
1.3 - Identify run-on sentences
1.4 - Choose punctuation to avoid fragments and run-ons
Learn - Phrases and Clauses
1.5 - Is it a phrase or a clause?
1.7 - Combine sentences using relative clauses
1.8 - Prepositional phrases
1.9 – Appositives

Nouns

Pronouns

Learn - Pronouns
3.1 - Use relative pronouns: who and whom
3.2 - Use relative pronouns: who, whom, whose, and which
3.3 - Identify vague pronoun references
3.4 - Identify and correct errors with subject and object pronouns
3.5 - Subject and object pronouns review
3.6 - Vague pronoun
3.7 - Pronoun antecedent agreement

Verbs and verbals

Learn - Verbs
4.1 - Form the progressive verb tenses
4.2 - Form the perfect verb tenses
4.3 - Transitive and Intransitive Verb
4.4 - Action or Linking verb
Learn - Active and Passive Voice
4.5 - Identify active and passive
4.6 - Rewrite the sentence in active

Adjectives and adverbs

Learn - Adjectives and Adverbs
5.1 - Form and use comparative and superlative adjectives
5.2 - Good, better, best, bad, worse and worst
5.3 - Form and use comparative and superlative adverbs
5.4 - Well, better, best, badly, worse and worst
5.5 - Adjectives
5.6 – Adverbs

Prefixes and suffixes

Learn - Analogy and Affixes
6.1 - Word pattern analogies
6.2 - Word pattern sentences
6.3 - Words with pre-
6.4 - Suffixes
6.5 - Words with sub-
6.6 - Words with mis-
6.7 - Words with un-, dis-, in-, im- and non-
6.8 - Words with -ful
6.9 - Words with -less
6.10 - Prefixes and Suffixes I
6.11 - Prefixes and Suffixes II

Etymologies and foreign expressions

Learn - Etymology
7.1 - Etymologies and foreign expressions
7.2 - Use words as clues to the meanings of Greek and Latin roots
7.3 - Determine the meanings of Greek and Latin roots
7.4 - Determine the meanings of words with Greek and Latin roots
7.5 - Use etymologies to determine the meanings of words
7.6 - Use the correct foreign expression
7.7 - Use context as a clue to the meanings of foreign expressions
7.8 - Sort words using roots
7.9 - Foreign expression

Reference skills

Word choice and usage

Learn - Connotations and Denotations
9.1 - Choose the word whose connotation and denotation best match the sentence
9.2 - Connotation and Denotation
Learn - Analogy
9.3 - Analogies
9.4 - Analogies: challenge
Learn - Dictionary Usage
9.5 - Use words accurately and precisely
9.6 - Replace words using a thesaurus
9.7 - Use dictionary entries to determine correct usage
9.8 - Use dictionary definitions

Context clues

Writing clear and concise sentences

Learn - How to Write Clearly and Concisely
11.1 - Transitions with conjunctive adverbs
11.2 - Avoid double, illogical and unclear comparisons
11.3 - Use parallel structure
11.4 - Are the modifiers used correctly?
11.5 - Are the modifiers used correctly?
11.6 - Redundancy I
11.7 - Redundancy II

Common errors

Writing process

Learn - Writing Process
13.1 - Order topics from broadest to narrowest
13.2 - Choose the topic sentence that best captures the main idea
13.3 - Choose the analysis that logically connects the evidence to the claim
13.4 - Choose the analysis that logically connects the evidence to the claim
13.5 - Topic sentence that captures the main idea

Author's purpose and tone

Literary devices

Learn - Narrative Point of View
15.1 - Identify the narrative point of view
Learn - Figure of Speech
15.2 - Use personification
15.3 - Interpret the meaning of allusions
15.4 - Identify the source of allusions
15.5 - Interpret figures of speech
15.6 - Classify figures of speech: euphemism, hyperbole, oxymoron, paradox
15.7 - Classify figures of speech: review
15.8 - Alliteration, irony, and Imagery
15.9 - Symbol, Metaphor, Personification, and Simile