Visiting from mainland China? Try the China-friendly mirror (cn.improject.org).
News

Topic summary · Student revision

Number 3 summary

Number 3 revision covers ratio, proportion and standard form.

Files: Number 3.pdf · Number 3 solutions.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Share in a ratio using total parts.
  • Direct y=kxy=kx; inverse y=k/xy=k/x.
  • Standard form a×10na\times10^n with 1≤∣a∣<101\le|a|<10.
  • Estimate with 1 s.f. when useful.

Worked example 1 — Standard form

Write 0.000560.00056 in standard form.

Working

5.6×10−45.6\times10^{-4}

Move the point four places right.

Worked example 2 — Share in a ratio using total parts

Use this method from the Number 3 sheet: Share in a ratio using total parts.

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 — Direct ; inverse

Use this method from the Number 3 sheet: Direct y=kxy=kx; inverse y=k/xy=k/x.

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 — Standard form with

Use this method from the Number 3 sheet: Standard form a×10na\times10^n with 1≤∣a∣<101\le|a|<10.

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 — Estimate with 1 s.f. when useful

Use this method from the Number 3 sheet: Estimate with 1 s.f. when useful.

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 3 summary — worksheet & answers PDF