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.
Expand: 5(2x − 3).
- 10x − 15
- 10x − 3
- 7x − 15
- 5x − 15
Answer: 10x − 15. Distribute: 10x − 15.
GuruMulti-step reasoning.
If a + b = 10 and a − b = 4, what is the value of a?
- 3
- 5
- 7
- 8
Answer: 7. Add the two equations: 2a = 14, so a = 7. (And b = 10 − 7 = 3.)
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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