YEAR 10

Reception

Learndigo has over 170, Year 10 Math techniques for you to explore! Hover over any topic to preview it, then click to begin mastering the material.

Numbers

Learn – Number types

1.1 – Classifying numbers into number types

Learn – Composite and prime numbers

1.2 – Identify prime and composite numbers

1.3 – Comparing and ordering rational numbers

1.4 – Identify positive and negative integers

1.5 – Convert between decimals and fractions

Operations

Learn – Intergers

2.1 – Evaluate the integers

2.2 – Evaluate numerical expressions involving integers

2.3 – Evaluate variable expressions involving integers

2.4 – Evaluate numerical expressions involving rational numbers

2.5 – Evaluate variable expressions involving rational numbers
Learn – Order of operation

2.6 – Order of operations

Ratios, rates and proportions

Learn – Equivalent ratio

3.1 – Write an equivalent ratio

3.2 – Find the unit rates

3.3 – Find the unit pricesLearn – Proportions

3.4 – Solve proportions

3.5 – Solve proportions: word problems

3.6 – Scale drawings: word problems
Learn – Odd and even function

3.7 – Even or odd function

Percents

Learn – Conversion of percent, fraction and decimal

4.1 – Convert between percent, fractions and decimals

4.2 – Find the percentage for VAT, discount and more

4.3 – Solve percent equations

4.4 – Percent word problems

4.5 – Find the percentage for discount and mark-up

4.6 – Multi-step problems with percents

Measurement

Learn – Correct metric Measurement

5.1 – Estimate the correct metric measurements

5.2 – Convert rates and measurements

5.3 – Convert the numbers on the basis of units

5.4 – Imperial mixed units

5.5 – Convert between metric and imperial units

5.6 – Find the precise answer

5.7 – Greatest possible error

Perimeter

Learn – Perimeter

6.1 – Find the perimeter

Properties

Learn – Properties of addition and multiplication

7.1 – Properties of addition and multiplication

Learn – Distributive property
7.2 – Distributive property

7.3 – Simplify variable expressions using properties

Learn – Properties of equality

7.4 – Properties of equality

7.5 – Addition of complex and polynomials

Logic

Learn – Hypothesis and conclusions

8.1 – Identify hypotheses and conclusions

8.2 – Counter examples
Learn – Composite function

8.3 – Composite function

Expressions and equations

Learn – Variable expression

9.1 – Make variable expressions

9.2 – Simplify variable expressions involving like terms and the distributive property
Learn – Equivalent linear

9.3 – Identify equivalent linear expressions

9.4 – Make a variable equations from the given data

9.5 – Find the values to satisfy the equation

9.6 – Rearrange multi-variable equations

Learn – Equation using order of operation

9.7 – Solve equations using order of operations

9.8 – Linear equation with two variables

Solve equations

Learn – One step linear equation

10.1 – Solve one-step linear equations

10.2 – Solve advanced linear equations

10.3 – Solve equations with variables on both sides

10.4 – Find the number of solutions

10.5 – Create equations with no solutions or infinitely many solutions

10.6 – Solve linear equations: word problems

Learn – Equation with absolute value

10.7 – Equations with absolute value

10.8 – System of equations

Exponents

Learn – Exponents with integer bases

11.1 – Solve exponents with integer bases

11.2 – Multiplication of bases with exponents

11.3 – Evaluate expressions using properties of exponents

11.4 – Evaluate the bases with negative exponents

11.5 – Multiplication and division of bases with exponents

11.6 – Division of bases with exponents

Monomials

Learn – Monomials

12.1 – Identifying monomials

Learn – Multiplying monomials

12.2 – Multiplying monomials

Learn – Dividing monomials

12.3 – Dividing monomials

12.4 – Multiplying and dividing monomials

Learn – Power of monomials

12.5 – Powers of monomials

12.6 – Mix multiplication and division of monomials

12.7 – Rationalizing monomials

Numeral sequences

13.1 – Evaluating variable expressions for number sequences

Learn – Numeral sequence

13.2 – Numeral sequences: mixed review

Polynomials

Learn – Polynomial vocabulary

14.1 – Polynomial vocabulary

14.2 – Add and subtract polynomials

14.3 – Multiply polynomials

14.4 – Multiply a polynomial by a monomial

14.5 – Add polynomials to find perimeter

Learn – Multiplication and division of polynomials

14.6 – Multiplication and division of polynomials

Problem solving

Learn – Word problems

15.1 – Word problems: mixed review

15.2 – Word problems with money

Learn – Consecutive integer

15.3 – Consecutive integer problems

15.4 – Rate of travel: word problems

15.5 – Weighted averages: word problems

Learn – Elimination and substitution method

15.6 – System equation by elimination and substitution

Median, mode, and range

Learn – Median, mode and range

16.1 – Calculate mean, median, mode and range

16.2 – Interpret charts to find mean, median, mode and range

16.3 – Mean, median, mode and range: find the missing number

Single-variable inequalities

Learn – Inequalities from graph

17.1 – Write inequalities from graphs

17.2 – Solve one-step linear inequalities: addition and subtraction

17.3 – Solve one-step linear inequalities: multiplication and division

17.4 – Solve advanced linear inequalities

17.5 – Solve compound inequalities

Learn – Quadratic Inequalities

17.6 – Quadratic inequalities

Square and cube root

Learn – Square root and cube root

18.1 – Find the square roots

18.2 – Find the cube roots

18.3 – Completing square root

Polygon

Learn – Polygon

19.1 – Identify and classify polygons

19.2 – Identify and classify polygons

Pythagoras' theorem

Learn – Pythagoras’ theorem

20.1 – Pythagoras’ theorem

20.2 – Converse of Pythagoras’ theorem: is it a right triangle?

Symmetry

Learn – Symmetry

21.1 – Find the symmetry

21.2 – Count lines of symmetry

Second derivatives

Learn – Second derivatives

22.1 – Second derivatives

Composite function

Learn – Composite function

23.1 – Composite function

Rationalizing denominator

Learn – Rationalizing the denominator

24.1 – Rationalizing denominator

Polynomial equations

Learn – Addition and subtraction of polynomials

25.1 – Addition and subtraction of polynomials

Learn – Multiplication and division of polynomials

25.2 – Multiplication and Division of polynomials

Power rule

Learn – Power rule to evaluate

26.1 – Apply power rules to evaluate

Learn – Power rule of derivatives

26.2 – Power rule of derivatives

Factor Theorem

Learn – Factor theorem

27.1 – Factor theorem

Arithmetic sequences

Learn – Arithmetic sequence

28.1 – Arithmetic sequences

28.2 – Write variable expressions for arithmetic sequences

28.3 – Arithmetic problems

Geometric sequences

Learn – Geometric sequence

29.1 – Geometric sequences

Binomials

Learn – Multiplying two binomials

30.1 – Multiply two binomials

30.2 – Multiply two binomials: special cases

Quartiles

Learn – Quartiles

31.1 – Quartiles

Biased sample

Learn – Biased sample

32.1 – Identify biased samples

Learndigo provides 110+ Year 10 English skills to master! Hover over each skill for a preview, then click to begin refining your expertise.

Sentences

Learn - Kinds of sentences
1.1 - Kind of sentences
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 - Types of sentences
1.5 - Is the sentence simple, compound, complex or compound-complex?
1.6 - Is the sentence simple, compound, complex or compound-complex?

Pronouns

Learn - Pronouns
2.1 - Identify and correct errors with subject and object pronouns
2.2 - Subject and object pronouns review
2.3 - Identify and correct pronoun errors with 'who' (I)
2.4 - Identify and correct pronoun errors with 'who' (II)
2.5 - Use relative pronouns: who and whom
2.6 - Identify vague pronoun references
2.7 - Use relative pronouns: who, whom, whose, which and that
2.8 - Pronouns I
2.9 - Pronouns II

Parts of speech

Adjectives and adverbs

Learn - Adjectives and adverbs
4.1 - Form and use comparative and superlative adjectives
4.2 - Good, better, best, bad, worse and worst
4.3 - Form and use comparative and superlative adverbs
4.4 - Well, better, best, badly, worse and worst
4.5 - Adjectives or adverbs
4.6 - Correct form of adjectives and adverbs

Punctuation, capitalisation and formatting

Learn - Punctuation
5.1 - Formatting and capitalising titles: review
5.2 - Formatting titles
5.3 - Decide whether ellipses are used appropriately
5.4 - Use semicolons and commas to separate clauses
5.5 - Use semicolons, colons and commas with lists
5.6 - Semicolons, colons and commas review
5.7 - Apostrophes
5.8 - Dashes

Prefixes and suffixes

Learn - Affixation
6.1 - Word pattern analogies
6.2 - Word pattern sentences
6.3 - Words with pre-
6.4 - Words with re-
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 - Affixation review

Etymologies and foreign expressions

Learn - Etymology
7.1 - Use Greek and Latin roots as clues to the meanings of words
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 context as a clue to the meanings of foreign expressions
7.7 - Sort words using Greek and Latin roots
7.8 - Use correct foreign expression

Reference skills

Word usage and Analogies

Narrative point of view

Context clues

Writing clear and concise sentences

Learn - How to write clearly and concisely
12.1 - Transitions with conjunctive adverbs
12.2 - Avoid double, illogical and unclear comparisons
12.3 - Use the correct pair of correlative conjunctions
12.4 - Use parallel structure
12.5 - Are the modifiers used correctly?
12.6 - Identify parallel structure

Common errors

Learn - How to avoid common errors
13.1 - Use the correct frequently confused word
13.2 - Identify and correct errors with frequently confused words
13.3 - Identify and correct errors with frequently confused pronouns and contractions
13.4 - Correct errors with commonly misspelled words
13.5 - Sentence correction I
13.6 - Sentence correction II

Phrases and clauses

Active/passive and subject-verb agreement

Learn - Subject verb agreement and active/passive
15.1 - Identify passive voice
15.2 - Rewrite the sentence in active voice
15.3 - Identify and correct errors with subject-verb agreement
15.4 - Identify and correct errors with indefinite pronoun-verb agreement
15.5 - Identify and correct verb agreement with compound subjects
15.6 - Identify and correct inappropriate shifts in verb tense

Figure of speech

Learn - Figure of speech
16.1 - Use personification
16.2 - Interpret the meaning of allusions
16.3 - Interpret figures of speech
16.4 - Classify figures of speech: review
16.5 - Identify the source of allusions
16.6 - Classify figures of speech: euphemism, hyperbole, oxymoron, paradox