Ratio, proportion and the unitary method — Maths worksheet

The method

Find one first — “unitary method: find the value of one thing, then multiply”

1. Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3.
2. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20.
3. a, b, c, d are in proportion when a × d = b × c.
4. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

Use it for: Prices in shops, recipes for more people, speed and distance, sharing pocket money, and the ratio and proportion chapter of Class 6 maths.

🧮 Check your own sums with the free Ratio calculator — it shows the working.

Worked example: If 5 pens cost ₹60, how many rupees do 8 pens cost? → 96

✏️ Practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

🏁 Lesson 43 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🛒 Unitary Method Master badge when you pass — and a certificate when you finish all 8 lessons of Part 6 · Class 6. You can still take the test without signing in.

🖨️ Class 6 Maths Worksheet: Ratio and Proportion

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)