Simultaneous Equations (Year 6)
Practise simultaneous 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.
Simplify: 4x + 3x.
- 7x
- 7x²
- 12x
- 7
Answer: 7x. Same letter; add coefficients.
ProCompare and infer.
Solve: 2x + 5 = 13.
- x = 3
- x = 4
- x = 5
- x = 6
Answer: x = 4. Subtract 5 from both sides: 2x = 8. Divide by 2: x = 4.
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 simultaneous equations?
- Practise simultaneous equations within Algebra for Year 6, with worked examples and instant feedback.
- How can my child practise simultaneous 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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