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Grade 6 · Maths · Lessons
The ratio table
📋table✖️multiply➗divide🔗same mix
The ratio table.
The big ideaEvery column is the same mix. Do the same to both rows: multiply or divide, never add.

How it works

Every column is the same mix. Do the same to both rows: multiply or divide, never add.

One bracelet has 3 green and 6 white beads. For 4 bracelets: 4 × 3 = 12 green and 4 × 6 = 24 white.

Use a column you know to fill the gap.

Bracelets• 1• 2• 4Green : white• 3 : 6• 6 : 12• 12 : 24
A ratio table.

Example 1: Multiply

  1. One bracelet has 3 green and 6 white beads.
  2. For 4 bracelets multiply both by 4: 3 × 4 = 12 and 6 × 4 = 24.
  3. That is 12 green and 24 white.

Example 2: Divide

  1. A sticker page has 9 dog and 3 cat stickers.
  2. For 1/3 of a page divide both by 3: 9 ÷ 3 = 3 and 3 ÷ 3 = 1.
  3. That is 3 dog and 1 cat.

Example 3: Find the gap

  1. 24 adult and 42 child tickets sell each day.
  2. Divide both by 6 to get 4 adult for every 7 child.
  3. Multiply by 8 for another column: 32 and 56.

Words to know

ratio table
A table of equal ratios.
equivalent ratios
Ratios that make the same comparison.

Watch out

Try it

  1. A recipe uses 2 cups flour for 3 cups milk. How much milk for 6 cups of flour?
  2. 3 red to 5 blue. How many blue for 9 red?
  3. 12 to 8 simplified?
  4. Do you add or multiply to scale a ratio?
Answers: 1. 9 · 2. 15 · 3. 3 to 2 · 4. multiply or divide
For grown-upsDouble and triple a recipe and see the ratio table grow.
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