Solving Equations (Year 6)
Practise solving equations within Algebra for Year 6, with worked examples and instant feedback.
The questions below are generated to match the National Curriculum for Year 6 and get harder as you progress from Rookie to Guru.
Worked examples
RookieRead and interpret directly.
Solve: 3x = 18.
- x = 6
- x = 15
- x = 21
- x = 54
Answer: x = 6. ÷ 3: x = 6.
ProCompare and infer.
Solve: x/4 + 2 = 5.
- x = 12
- x = 1.25
- x = 28
- x = 5
Answer: x = 12. −2: x/4 = 3; ×4: x = 12.
GuruMulti-step reasoning.
The nth term of a sequence is 4n − 1. Is 50 a term in this sequence? Justify.
- No — 4n − 1 = 50 gives n = 12.75, not a whole number.
- Yes.
- Cannot tell.
- Yes — at n = 13.
Answer: No — 4n − 1 = 50 gives n = 12.75, not a whole number.. n must be a whole number.
Related skills
Frequently asked questions
- What is solving equations?
- Practise solving equations within Algebra for Year 6, with worked examples and instant feedback.
- How can my child practise solving equations at home?
- Work through the examples below, then start a free adaptive session. Northstar adjusts the difficulty automatically and tracks mastery over time.
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