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Topic summary · Student revision

Number 4 summary

Number 4 revision mixes bounds, error intervals and multi-topic number problems.

Files: Number 4.pdf · Number 4 solutions.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Bounds use ± half a unit at the stated accuracy.
  • Combine bounds carefully for max/min results.
  • Choose appropriate accuracy for the context.
  • Write error intervals as inequalities.

Worked example 1 — Bounds

x=4.7x=4.7 to 1 d.p. Bounds?

Working

4.65≤x<4.754.65\le x<4.75

Half of 0.1 is 0.05.

Worked example 2 — Bounds use ± half a unit at the stated accuracy

Use this method from the Number 4 sheet: Bounds use ± half a unit at the stated accuracy.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Combine bounds carefully for max/min results

Use this method from the Number 4 sheet: Combine bounds carefully for max/min results.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Choose appropriate accuracy for the context

Use this method from the Number 4 sheet: Choose appropriate accuracy for the context.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Write error intervals as inequalities

Use this method from the Number 4 sheet: Write error intervals as inequalities.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Number 4 summary — worksheet & answers PDF