Level 3 · Mathematics M3.4
Ratio and proportion
Compare amounts with ratios, share in a ratio, and scale recipes and maps.
Write and simplify ratios, link them to fractions, and share an amount in a ratio. Then find the amount for one, tell direct from inverse proportion, work out speeds and best buys, and use the scale on a map.
8 chapters. Your place is kept on this device only.
You are ready for this book if
You can simplify 12/16 to 3/4.
- One step up M4.2 Percentages, proportion and growth
- This book M3.4 Ratio and proportion
- One step down M2.4 Fractions
Contents
Keep it, print it, pass it on
- One file for any phone
710 KB. Opens with no internet. Share it with anyone. - PDF to print
662 KB, 82 A4 pages. Answers at the back. Copies well in black and white. - EPUB for reading apps
121 KB. For e-readers and book apps.
For parents and teachers
For learners who can simplify a fraction such as 12/16 to 3/4 and know their times tables. In many schools this fits children of about 11 to 13, and older learners who never met ratio can start here too. Each chapter takes one or two short sessions. A learner can work alone: every exercise has its answer and the reason for it. Each chapter also has a short page for the adult, with three questions to ask.
Strand: Fractions and ratio. Written and drawn by attnom. Free to read, print and share.