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11+ place value and roman numerals questions

Place value and Roman numerals comes up in the maths paper of every major 11+ format. Here is what the questions look like, the method that works under time pressure, and five worked examples with the full reasoning, from a gentle start to a hard paper.

Maths · examined by GL and CEM · 5 worked examples

What your child needs to know

Where marks get lost: A smaller symbol BEFORE a bigger one subtracts: IV is 4, IX is 9, XL is 40, CM is 900.

Worked examples

Every question below is generated by the same engine your child practises on, and every answer is derived by our checker rather than written by hand — which is why we can put them on a public page at all.

Example 1 · level 1a gentle start

In the number 91, what is the value of the digit in the units column?

  • 1
  • 0
  • 3
  • 2

Answer: 1 The digit is worth its face value multiplied by 1.

Example 2 · level 2typical of early practice

In the number 72, what is the value of the digit in the tens column?

  • 7
  • 10
  • 70
  • 2

Answer: 70 The digit is worth its face value multiplied by 10.

Example 3 · level 3standard paper difficulty

Write 244 in Roman numerals.

  • CCXLIV
  • CCXLV
  • CCLIV
  • CCXLIII

Answer: CCXLIV M=1000, D=500, C=100, L=50, X=10, V=5, I=1; a smaller symbol before a larger one subtracts.

Example 4 · level 4a harder paper

What number is DCCXCIII?

  • 793
  • 803
  • 794
  • 792

Answer: 793 M=1000, D=500, C=100, L=50, X=10, V=5, I=1; a smaller symbol before a larger one subtracts.

Example 5 · level 5the level that separates candidates

Write 2389 in Roman numerals.

  • MMCCCLXXXVIII
  • MMCCCLXXXIX
  • MMCCCXC
  • MMCCCXCIX

Answer: MMCCCLXXXIX M=1000, D=500, C=100, L=50, X=10, V=5, I=1; a smaller symbol before a larger one subtracts.

How to practise this at home

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