--- type: "FAQ Page" title: "Free 11+ Maths Practice Papers with Answers (PDF)" description: "Two free 11+ maths practice papers with answers (PDF): 50 mixed multiple-choice questions each, an answer sheet, worked answer key and full topic list." resource: https://pip11plus.com/11-plus-maths-papers tags: ["11+", "maths", "printables", "pip"] timestamp: 2026-10-13T19:42:37Z image: https://pip11plus.com/social/og/og-paper-maths.png --- 📄 Free download · with answers # Free 11+ Maths practice papers, with answers A complete, original 11+ Maths paper in the standard multiple-choice format: number, fractions, data, shape and word problems, with a printable answer sheet and a worked answer key. Free to download. [Download Paper 1 (PDF)](#dl-11-plus-maths-practice-paper-1) [Practise online free →](https://pip11plus.com/maths-questions) 50 questions Worked answers About 50 minutes Print at home 11+ MATHS · PAPER 1 ### Get the 21-page maths practice paper 1 with answers - 21 pages - Answers included - Printable A4 - Number, place value, fractions & word problems - Data: tables, bar chart, pie chart & a Venn diagram - Shape & space: angles, area, coordinates - Printable answer sheet + worked answer key Thanks! Your download is on its way. We'll only use your email to send this and, if you tick the box, our tips. **The short version.** Both 11+ maths practice papers on this page are free PDFs you can print at home. Each has 50 multiple choice questions, a printable answer sheet and a worked answer key, so the paper marks itself and your child can see the method behind every answer. Between them they cover the Key Stage 2 maths the 11+ draws on: number and place value, the four operations, fractions, decimals and percentages, ratio and proportion, simple algebra in the form of number machines and sequences, measurement and unit conversion, geometry, statistics and multi-step word problems. 📄 2 full papers ✅ Worked answer key 🖨️ Prints on A4 🆓 Free PDF 🔢 50 questions each ## Download the papers Two full-length 11+ Maths papers. Each has 50 multiple choice questions, a printable answer sheet and a fully worked answer key, in the standard 11+ format. Once it is marked, our [11+ standardised score calculator](https://pip11plus.com/11-plus-score-calculator) turns the raw mark into an age-adjusted estimate. They are mixed practice papers, drawing on every maths topic that comes up, rather than drilling one topic at a time. Same level and question types, completely different questions, so your child can sit one, then the other. 11+ MATHS · PAPER 1 ### Practice Paper 1 50 mixed questions across number, fractions, data, shape and word problems, with a worked answer key. About 50 minutes. [Download Paper 1 (PDF)](#dl-11-plus-maths-practice-paper-1) Free · prints on A4 11+ MATHS · PAPER 2 ### Practice Paper 2 A second full paper at the same level, with all-new numbers, contexts and figures. 50 questions, answer sheet and worked answers. About 50 minutes. [Download Paper 2 (PDF)](#dl-11-plus-maths-practice-paper-1) Free · prints on A4 After the free maths PDF ## The paper finds the gap. Pip gives them another way in. Mark the paper, choose the maths skill that caused trouble, then let your child try fresh questions in Pip. Free practice adjusts the next question's level and gives feedback after each answer, so one finished PDF can start the next useful session. **Free to start:** repeatable 11+ Maths practice. **Pip Pro:** interactive Pip Teaches lessons and timed mock papers. 01 Mark the paper 02 Pick the weak skill 03 Practise it in Pip [Download Pip free on the App Store](https://apps.apple.com/app/pip-11-practice/id6775690698) [Get Pip free on Google Play](https://play.google.com/store/apps/details?id=com.pip11plus.app) [Available at Amazon Appstore](https://www.amazon.co.uk/dp/B0HKGJ4HTP) [See 11+ Maths practice →](https://pip11plus.com/maths-questions) ![Real Pip app Maths question showing the answer and Pip's immediate feedback](https://pip11plus.com/app-shots/resources/pip-maths-feedback-2026.webp) Actual Pip app feedback **Prefer a book beside the free app?** The Pip 11+ Study Guide brings Maths together with English and Reasoning for structured offline practice. As an Amazon Associate, Pip earns from qualifying purchases. ## What is in the paper Fifty questions across the strands the 11+ tests most, in the same multiple-choice format children meet on the day, marked on a separate answer sheet. 1 ### Number & calculation Place value, fractions, decimals and percentages, plus multi-step money and division word problems. 2 ### Data & graphs Read a two-way table, a bar chart and a pie chart, and interpret a Venn diagram and a number line. 3 ### Shape, space & measures Angles in a triangle, area on a grid, coordinates and the properties of 2D shapes. ## What topics come up in 11+ maths 11+ maths is built on the Key Stage 2 curriculum, mostly the Year 5 and Year 6 content, with more problem solving layered on top. These are the strands our own papers test, with the kind of question each one produces. | Topic | What comes up | A question in that style | | --- | --- | --- | | **Number and place value** | The value of a digit in a large number, ordering, rounding and negative numbers. | What is the value of the 5 in 258,431? | | **The four operations** | Mental and written methods, and the order of operations when a calculation mixes them. | Work out 9 + 6 × 5 − 7. | | **Fractions, decimals and percentages** | Equivalence, adding and subtracting fractions, simplest form, and finding a fraction or percentage of an amount. | Work out 2⁄3 + 1⁄6 in its simplest form. | | **Ratio and proportion** | Sharing an amount in a given ratio, scaling quantities up and down, and comparing value for money. | Share 45 counters in the ratio 2:3. | | **Algebra in disguise** | Number machines, missing numbers and number sequences, which are early algebra without the letters. | A machine doubles a number then adds 7. What goes in to give 25? | | **Measurement and conversion** | Grams and kilograms, millilitres and litres, millimetres up to kilometres, plus time and money. | How many grams are there in 3.2 kilograms? | | **Geometry: shape, angles and area** | Angles in a triangle, in a quadrilateral and on a straight line, area and perimeter, coordinates and the properties of 2D shapes. | A triangle has angles of 55° and 72°. Find the third angle. | | **Statistics** | Reading tables, bar charts and pie charts, interpreting a Venn diagram, and calculating the mean. | Five scores are given. What is the mean score? | | **Multi-step word problems** | Money, time and measures problems that need two or three linked steps before an answer appears. | Two pack sizes are priced. Which is better value per item? | **Where the marks actually sit.** Notice how many rows end in a word problem. Single-skill questions such as a conversion or a percentage of an amount are usually quick marks. The questions that separate children are the ones where the maths is easy but the reading is the work: two or three steps, and a decision about which step comes first. ## How 11+ maths differs from school maths Children who are comfortable in class can still find their first 11+ paper a shock. Almost none of that is new content. It is the format. 1 ### Two or three steps, not one A school question usually asks for one operation. An 11+ question hides the operation inside a story, and often needs a second calculation on the result of the first. The maths is Year 5 and Year 6 level; the reading and planning are the hard part. 2 ### Real time pressure Fifty questions in about fifty minutes leaves roughly a minute each, including reading. Children who are accurate but slow lose marks simply by not reaching the end, which is why timing practice matters as much as topic practice. 3 ### Multiple choice with tempting wrong answers The options are not random. They are the answers you get from the common slips: adding before multiplying, forgetting the second step, or answering the question that was not asked. A wrong answer that appears on the list feels right, so it never prompts a check. **Use the options as a tool.** Because the distractors are built from predictable mistakes, a quick estimate often rules out two or three options before any working starts. Teach your child to glance at the options, decide roughly how big the answer should be, then work it out properly. ## Three worked examples These are written the way the answer key in each paper is written: the method first, then the trap. Method is what transfers to the next question; an answer is not. ### Example 1 · Best value, a two-step word problem Method: get both prices into the same unit before comparing A pack of 6 pens costs £2.70. A pack of 10 of the same pens costs £4.20. How much cheaper is one pen in the larger pack? 1. You cannot compare £2.70 with £4.20 directly, because they buy different numbers of pens. Convert both to **pence per pen**. 2. Small pack: 270p ÷ 6 = **45p per pen**. 3. Large pack: 420p ÷ 10 = **42p per pen**. 4. The question asks how much cheaper, so subtract: 45p − 42p = **3p per pen**. **What the wrong options are made of** The commonest distractor is £1.50, which is simply £4.20 minus £2.70. That compares the packs rather than the pens, and it answers a question nobody asked. Another is 42p, the price per pen in the larger pack, which is a correct number stopped one step early. Both feel plausible because both come from real working. The habit worth building: after finding an answer, re-read the final sentence of the question and check that your number is the thing it asked for. ### Example 2 · A fraction and then a percentage Method: work on the remainder, not the original total A school has 240 children. Three eighths of them walk to school. Of the children who do not walk, 20% come by bus. How many children come by bus? 1. Find one eighth first: 240 ÷ 8 = 30. So three eighths is 30 × 3 = **90 children walk**. 2. The children who do not walk: 240 − 90 = **150 children**. 3. The 20% applies to those 150, not to 240. Ten per cent of 150 is 15, so 20% is 15 × 2 = **30 children come by bus**. **What the wrong options are made of** The trap answer is 48, which is 20% of the original 240. It is the mistake almost every child makes once, and once only, because the phrase "of the children who do not walk" is easy to skim past. The other tempting option is 150, the size of the group rather than the answer. The habit worth building: underline the group a percentage refers to before calculating it. In 11+ papers the percentage very often applies to a remainder rather than the headline number. ### Example 3 · Area with a piece removed Method: whole shape first, then take away A rectangle measures 14 cm by 9 cm. A square of side 5 cm is cut out of one corner. What area of the rectangle is left? 1. Area of the whole rectangle: 14 × 9 = **126 cm²**. 2. Area of the square removed: 5 × 5 = **25 cm²**. 3. Area left: 126 − 25 = **101 cm²**. **What the wrong options are made of** One distractor will be 46, the perimeter of the rectangle, offered to any child who reaches for the wrong formula under time pressure. Another will be 126, the area before the square is removed. A third may be given in cm rather than cm², which is worth pointing out to your child: an area is always in square units, so a unit that is not squared is a signal that something has gone wrong. The habit worth building: say out loud whether the question wants a length, an area or a number of things, before choosing a method. ## The mistakes that cost marks When you mark a paper together, most lost marks fall into a handful of repeating patterns. Naming the pattern is more useful than correcting the sum. - **Answering a different question.** The working is right, but the number written down is the subtotal rather than the thing asked for, as in the pens example above. This is the single most common way a capable child loses marks. - **Units left unconverted.** Mixing pounds with pence, metres with centimetres, or minutes with hours. Converting everything to the smallest unit at the very start prevents almost all of it. - **Order of operations.** Working strictly left to right when a calculation mixes multiplication with addition. Multiplication and division come first. - **Percentages of the wrong group.** Applying a percentage to the original total when the question applies it to what is left. - **Reading a chart carelessly.** Missing that a bar chart axis goes up in fives, or that a table row is a total rather than a category. - **Running out of time on easy questions.** Spending four minutes on one hard question costs the four one-mark questions at the end. Teach your child to leave a question, mark it, and come back. - **Not filling the answer sheet correctly.** On a multiple choice paper the mark comes from the box on the separate sheet. Practising with the printable answer sheet included in each PDF makes this automatic. ## How to use the papers: untimed first, then timed Two full papers can teach a lot, or almost nothing, depending on how you run them. This sequence gets the most out of them. 1 ### Paper 1, untimed Print Paper 1 and the answer sheet and let your child work through it with no clock at all, with rough paper for working. The aim here is to find out what they can do, not how fast. Anxiety about the timer hides real gaps. 2 ### Mark it together, out loud Use the worked answer key and go through every question they got wrong, plus any they guessed. Ask what the question was actually asking for. Sort the errors into topic gaps and method slips; they need different fixes. 3 ### Paper 2, timed Leave a gap of a week or two, fill it with short daily practice on whatever Paper 1 exposed, then sit Paper 2 in one sitting of about 50 minutes as a mock. Mark it the same way and compare the pattern of errors, not just the score. **Turning a raw mark into something meaningful.** A score out of 50 on its own is hard to interpret, because real 11+ results are standardised and adjusted for a child's age. Our free [11+ standardised score calculator](https://pip11plus.com/11-plus-score-calculator) gives an age-adjusted estimate from a raw mark, which makes progress between two papers much easier to read. Pass marks and standardisation vary by school and local authority, so always confirm the detail with the school or the local authority you are applying to. ## Get every new paper, free We publish fresh 11+ Maths, English and Reasoning papers regularly. Pop your email in and we will send the next ones the moment they are ready. No spam. Just new free papers and practice tips. Unsubscribe any time. ## About 11+ Maths practice papers 11+ Maths papers stretch the Key Stage 2 curriculum a little further and add the time pressure of the real exam. Expect number and place value, fractions, decimals and percentages, data handling, shape and space, and plenty of multi-step word problems. Many 11+ Maths tests use multiple-choice questions, but topics, timings and response formats differ by provider and school. These original papers are subject practice, so check your own test format before treating either as a mock. The best way to use a practice paper is little and often. Give your child a calm 50 minutes with some rough paper, then mark it together with the answer key and talk through any they found tricky. Securing number facts and times tables first makes the word problems far easier, so it is worth pairing papers with short, regular [maths practice](https://pip11plus.com/how-should-my-child-practise-maths-for-the-11-plus). If the arithmetic is sound but the wording slows your child down, use the free [11+ Maths word-problem worksheets](https://pip11plus.com/11-plus-maths-word-problems-worksheets) to practise drawing the situation, choosing the steps and checking the result. Papers are great for rehearsing exam day, but they run out fast. For everyday practice, the free [Pip 11+ Maths](https://pip11plus.com/maths-questions) app generates unlimited fresh questions that adapt to your child and mark themselves, so a finished paper is never the end of the practice. You can also browse [all our free 11+ printables](https://pip11plus.com/11-plus-printables), or explore the full [11+ Info Hub](https://pip11plus.com/info-hub) for guidance on scoring, timing and exam day. ## Frequently asked questions **Are these 11+ Maths papers free?** Yes. You can download the paper as a PDF for free, with a full answer key included. **Do the papers come with answers?** Yes. Every paper has a worked answer key with a short explanation for each question, so your child learns from any mistakes. **Are these GL or CEM style?** The paper uses the standard multiple-choice format common to both GL Assessment and CEM-style 11+ exams, covering number, data, shape and word problems, marked on a separate answer sheet. **How long should it take?** About 50 minutes for the 50 questions. You can run it untimed first to build confidence, then timed once your child is comfortable. Real exam timings differ by test and region, so check the format your child is actually sitting on the relevant [11+ exam types](https://pip11plus.com/11-plus-exam-types-explained) page. **Are the 11+ maths papers multiple choice?** Yes. Both papers use the standard multiple choice layout, with five options per question and answers marked on a separate printable answer sheet, which is how most 11+ maths papers are set. Practising on the separate sheet is worth doing in its own right, because on the day the mark comes from the box on the sheet rather than the working. **Is there an answer key or answer sheet included?** Both. Each PDF contains a printable multiple choice answer sheet for your child to fill in, and a worked answer key for you to mark with, which explains the method for every question rather than only giving the letter. **What topics does an 11+ maths paper cover?** Number and place value, the four operations and order of operations, fractions, decimals and percentages, ratio and proportion, number machines and sequences, measurement and unit conversion, geometry including angles, area, perimeter and coordinates, statistics including tables, charts and the mean, and multi-step word problems that combine several of these. The [topic table above](#topics) shows the question style each strand produces. **Are 11+ maths papers harder than school maths?** The content is broadly the Key Stage 2 curriculum, mostly Year 5 and Year 6. What makes an 11+ paper feel harder is the packaging: questions take two or three linked steps, the pace is roughly a minute a question, and the wrong options are built from the mistakes children commonly make, so an error rarely looks like an error. **Can I print the papers at home?** Yes. Each paper is a PDF laid out for plain A4 home printing in black and white, including the answer sheet. Nothing needs to be printed in colour for the questions to work. **Where can I download more free 11+ practice papers as PDFs?** Our [free 11+ printables hub](https://pip11plus.com/11-plus-printables) has the full library, including papers written to specific exam formats such as the [GL Assessment](https://pip11plus.com/gl-assessment-11-plus-practice-papers), [Kent Test](https://pip11plus.com/kent-test-11-plus-practice-papers) and [CSSE](https://pip11plus.com/csse-11-plus-practice-papers) formats, plus [verbal reasoning](https://pip11plus.com/11-plus-verbal-reasoning-papers), [non-verbal reasoning](https://pip11plus.com/11-plus-non-verbal-reasoning-papers) and English papers. All are free and all come with worked answers. **What counts as a good score on a practice paper?** There is no published pass mark for a practice paper, and real 11+ results are standardised and age-adjusted rather than being a raw percentage, so treat the raw mark as a starting point rather than a verdict. What is far more useful is the pattern: which topics the errors cluster in, and whether the same method slip keeps recurring. Actual pass marks and scoring rules vary by school and local authority, so confirm those with the school directly. ## Unlimited maths that marks itself Pip gives your child fresh 11+ Maths questions every day, free, with instant feedback and adaptive difficulty. Download the app: [Download Pip on the App Store](https://apps.apple.com/app/pip-11-practice/id6775690698) [Get Pip on Google Play](https://play.google.com/store/apps/details?id=com.pip11plus.app) [Available at Amazon Appstore](https://www.amazon.co.uk/dp/B0HKGJ4HTP)