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Mathematics · Grades 6–9

Ratios, proportions and misleading comparisons · Revision card

A part-to-part ratio is not the same as a part-to-whole fraction.

Make a worksheet

Understand the idea

Identify the quantities

A part-to-part ratio is not the same as a part-to-whole fraction.

Use units

A rate compares quantities with stated units; cancel units only when appropriate.

Keep the baseline

Percentage change uses the original value as the reference.

Worked examples

A bag has 2 green beads for every 3 yellow beads. What fraction of all beads is green?

The total ratio is 2 + 3 = 5 parts.

2/5

A model uses 4 cm for 12 m. How many metres correspond to 7 cm?

12/4 = 3 m per cm; 7 × 3 = 21.

21

Explain without looking

  1. Which unit is suitable for an average speed?

Preview material · independent educational review required. Grade bands are approximate, not official curriculum alignment.