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.
If 3x = 12, what is x?
- 2
- 3
- 4
- 5
Answer: 4. Divide both sides by 3: x = 12 ÷ 3 = 4.
ProCompare and infer.
Which equation has the same solution as 2x + 6 = 14?
- x + 3 = 7
- x + 6 = 7
- 2x = 7
- x = 14
Answer: x + 3 = 7. Divide all by 2: x + 3 = 7.
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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