Nth Term (Year 6)

Practise nth term 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.

Solve: 2x + 3 = 11.

  • x = 4
  • x = 7
  • x = 14
  • x = 5

Answer: x = 4. −3: 2x = 8; ÷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 nth term?
Practise nth term within Algebra for Year 6, with worked examples and instant feedback.
How can my child practise nth term at home?
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