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.
If a = 4, what is 3a?
- 12
- 7
- 34
- 1
Answer: 12. 3a = 3 × a = 3 × 4 = 12.
ProCompare and infer.
If x = 3 and y = 4, what is x² + y?
- 13
- 10
- 31
- 12
Answer: 13. 3² = 9; 9 + 4 = 13.
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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