Rounding anchors estimation questions ('roughly how much…'), which examiners use to separate calculators from thinkers. Place value and rounding sit right at the heart of the 11+ maths paper: they underpin nearly every other topic, from decimals and money to multi-step word problems. In a typical GL Assessment maths test — now the dominant provider across most UK grammar-school regions since CEM's separate 11+ tests were phased out around 2022-2023 — number and place value questions carry a meaningful slice of the marks and reward children who work quickly and accurately without a calculator.
What 11+ place value and rounding questions cover
At 11+ level, place value means far more than knowing "the 4 is in the tens column". Children read and compare numbers up to millions (and into decimals with three places), identify the value of a digit in context, order mixed sets of whole numbers and decimals, and use their understanding to estimate. Rounding then layers on top: rounding to the nearest 10, 100, 1,000 and, crucially, to the nearest whole number and to one or two decimal places. Our free worksheet library grades every topic across four tiers — Foundation, Developing, Secure and Greater Depth — so a child can enter at their level and climb.
The National Curriculum introduces most of this in Years 4 and 5, but the 11+ pushes well beyond school level. A Year 5 classroom might ask a child to round 3,472 to the nearest 100; a Greater Depth 11+ question asks them to estimate 4,981 × 19 by rounding both numbers first, then judge whether the estimate is larger or smaller than the true answer. That reasoning step — knowing your estimate's direction of error — is exactly what the GL paper prizes.
A fully worked example: rounding and estimating
Take a classic exam-style question: Estimate 6,148 + 2,970 by rounding each number to the nearest thousand. Here is the method, step by step:
- Find the rounding digit. For the nearest thousand, look at the thousands column: 6,148 and 2,970.
- Check the digit to its right. In 6,148 the hundreds digit is 1 (less than 5), so round down to 6,000. In 2,970 the hundreds digit is 9 (5 or more), so round up to 3,000.
- Add the rounded numbers. 6,000 + 3,000 = 9,000.
- Sense-check against the exact answer. The true total is 9,118, so 9,000 is a sensible estimate — and because we rounded one number down and one up, the errors partly cancel.
The golden rule your child should chant is simple: 5 or more, round up; 4 or less, round down. The digit immediately to the right of the rounding place is the only one that decides.
A quick reference table of place values
Encourage your child to picture a place-value grid. This table is worth pinning above a desk:
| Column | Value | Example digit in 4,275,308.6 |
|---|---|---|
| Millions | 1,000,000 | 4 |
| Hundred thousands | 100,000 | 2 |
| Ten thousands | 10,000 | 7 |
| Thousands | 1,000 | 5 |
| Hundreds | 100 | 3 |
| Tens | 10 | 0 |
| Units (ones) | 1 | 8 |
| Tenths | 0.1 | 6 |
Common mistakes and examiner traps
Under timed conditions the same errors surface again and again. Warn your child about these:
- Rounding the wrong digit. When asked for the nearest 100, some children look at the tens digit but then change the tens instead of the hundreds. Only the hundreds column should move.
- The "cascade" on a 9. Rounding 2,996 to the nearest 10 gives 3,000, not 2,990 — the 9 rolls over. This is the single most-missed trap.
- Zeros as placeholders. In 40,506 the middle 0 is not "nothing"; drop it and the number becomes 4,056. Every zero holds a column open.
- Decimals: more places is not bigger. 0.6 is greater than 0.59, even though 59 looks like a big number. Line up the decimal points first.
- Estimating then giving the exact answer. If the question says "estimate", an exact calculation wastes precious seconds and can lose the mark.
How the skill appears in a real GL 11+ paper
On a GL maths paper the question is multiple choice: your child reads the problem, works it on scrap or in their head, then shades a single bubble (A-E) on a separate OMR answer sheet. There is no calculator and no working credit — only the bubble counts, so neat transfer matters. Budget roughly one minute per maths question; a straightforward rounding item should take far less, banking time for the multi-step word problems later in the paper. Practise the answer-sheet mechanics themselves: our downloadable sheets include matching OMR grids so bubbling becomes automatic. You can rehearse the exact format inside our GL practice papers and full timed mock papers.
How to use the worksheets
- Diagnose: one Secure-tier sheet, unaided. Score under 70%? Drop a tier. Over 90%? Climb one.
- Little and often: 15-20 minutes daily beats a weekend marathon — retention lives in the gaps between sessions.
- Review errors out loud: the child explains what went wrong; you resist explaining first. Self-diagnosis sticks.
- Fold into mocks: once a topic hits Greater Depth, let full timed mock papers keep it warm rather than more isolated drilling.
Difficulty progression: Year 5 to exam level
An easier Year 5 version asks: "Round 3,472 to the nearest hundred." An exam-level Year 6 version asks: "A stadium holds 48,619 people. Rounded to the nearest thousand, roughly how many is that, and is the true figure higher or lower than your estimate?" Same core skill, three layers of reasoning. Our tiered worksheets bridge that gap deliberately, and you can plan when to introduce each stage using our revision hub and 11+ process guide.
Download free place value and rounding worksheets
Every place value and rounding worksheet — with Answer Keys and OMR sheets — is free in our worksheet library under the Maths tab. No card, no email wall. For exam-style application, the mock library carries the same topic inside full papers, and you can build a broader plan from the exam guides.
Frequently asked questions
Is place value and rounding on the GL 11+ maths paper?
Yes. It is core number content that appears directly and underpins estimation, decimals and money questions across every GL region and most bespoke regional papers.
What school year is this taught in?
Most rounding to 10, 100 and 1,000 is taught in Years 4 and 5, with decimal rounding in Year 5-6. The 11+ then extends it into multi-step estimation that goes beyond the classroom.
How long should my child spend on a rounding question in the exam?
Aim for well under a minute. Rounding items are quick wins — answer them fast and bank the time for the longer word problems later in the paper.