Year 6 in England
5th grade algebra
8 5th grade algebra skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.
Mixed review
Ten questions drawn from every skill below.
Order of operations
CCSS 5.OA.A.1CCSS 6.EE.A.2.CEngland: Y6 Addition, subtraction, multiplication and divisionEngland: KS3 Number
Example
20 + 9 × 7 = ?
- 9 × 7 = 63
- 20 + 63 = 83
Answer: 83
Write numerical expressions from words
CCSS 5.OA.A.2England: Y6 Algebra
Example
Which expression matches: "Subtract 6 from 13, then divide by 4."
- (13 − 6) ÷ 4
Answer: (13 − 6) ÷ 4
Builds on: Order of operations
Evaluate expressions with brackets, including nested brackets
CCSS 5.OA.A.1England: Y6 Number – multiplication and division
Example
6 × [14 − (1 + 2)] = ?
- 1 + 2 = 3
- 14 − 3 = 11
- 6 × 11 = 66
Answer: 66
Builds on: Order of operations
Compare two number patterns and their rules
CCSS 5.OA.B.3England: Y6 Algebra
Example
Pattern A starts at 0 and adds 3: 0, 3, 6, 9, 12, 15. Pattern B starts at 0 and adds 12: 0, 12, 24, 36, 48, 60. Each term in B is how many times the matching term in A?
- 36 ÷ 9 = 4
- 4
Answer: 4
Two-step function machines: forwards and backwards
CCSS 5.OA.B.3England: Y6 Algebra
Example
A function machine does: × 3, then + 4. What is the output when the input is 15?
- 15 × 3 = 45
- 45 + 4 = 49
Answer: 49
Builds on: Function machines and input–output tables
Use simple formulas written in words and letters
CCSS 6.EE.A.2.CEngland: Y6 Algebra
Example
Bike hire costs C = 5h + 20, where h is the number of hours. What is C when h = 6?
- 5 × 6 + 20 = 30 + 20 = 50
Answer: 50
Describe linear sequences with a rule for the nth term
CCSS 6.EE.A.2England: Y6 Algebra
Example
The nth term of a sequence is 2n − 3. What is the 43rd term?
- 2 × 43 − 3 = 83
Answer: 83
Puzzles with two unknowns
CCSS 5.OA.A.2England: Y6 Algebra
Example
a is 3 times b, and a + b = 16. What is b?
- 16 ÷ 4 = 4
- b = 4
Answer: 4
Keep exploring
5th grade topic pages
More for 5th grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
- Math by topicFractions, times tables, long division and more
- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.