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11+ Maths Guide · Year 5–6 · Free lesson

Best Value

Which pack is really cheaper? Divide to the price of one and the answer is unarguable. The unitary method is a supermarket survival skill that also happens to be an 11+ favourite.

R6Best Value
Price per one — then compare fairly.
Best-value questions: find the price of ONE (or of the same amount), then compare.
Which is better value?
Pack A
4 pens for £2.40
60p per pen
Pack B
6 pens for £3.30
55p per pen
Pack B wins — 5p cheaper per pen.
Unitary method: divide to ONE, then judge.
1

Learn the 3-Step Method

1Find the unit price of each.

A: 240p ÷ 4 = 60p. B: 330p ÷ 6 = 55p.

÷ to one

2Compare the unit prices.

55p beats 60p — lower price per pen is better value.

55 < 60

3Alternative: same quantity.

Compare 12 pens' worth: A → £7.20, B → £6.60. Same verdict.

or match amounts
💡 Key IdeaBigger pack ISN'T automatically better value — only the unit price decides. Supermarkets rely on you not checking.
2

Worked Example

Juice: 2 litres for £3.60, or 3 litres for £5.10. Which is better value?

Per litre A
3.60 ÷ 2 = 1.80
Per litre B
5.10 ÷ 3 = 1.70
✓ Verdict
3-litre bottle — £1.70 vs £1.80 per litre.
3

Watch Out! Common Mistakes

Comparing totals.
£3.60 < £5.10 → “A is cheaper” ✕

Different amounts! Compare per litre: B wins at £1.70.

Assuming big packs win.

Check every time! Shops sometimes price the big pack WORSE per unit — the unit price is the only honest comparison.

Skipping the verdict.

Finish! ‘A = 60p, B = 55p’ isn’t an answer. Add the sentence: Pack B is better value.

Cheat Sheet

BEST VALUE
  1. Divide each price by its quantity → unit price.
  2. Lower unit price = better value.
  3. Or scale both to the same quantity.
  4. State the verdict in words.
Example: 4 for £2.40 (60p) vs 6 for £3.30 (55p) → the 6-pack.
📄 Free printable: Download the Best Value cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

What is the unitary method?

Reducing to the value of ONE unit — one pen, one litre — by dividing, then comparing or scaling up from there.

Is the bigger pack always better value?

No. Sometimes the small pack wins per unit — that's why comparing unit prices, not pack prices, is the only fair test.

How does this appear in exams?

'Which is better value?' questions with two offers — full marks need the unit prices AND a stated verdict.

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