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This complete calculation earns the B1 mark."}]}],"generatedAt":"2026-07-20T16:24:43.291Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"33b89caa-5b86-4b98-94e5-95c7d34fe24b","label":"b","content":"Write down the median.","markscheme":"- Median is 9 B1","marks":1,"order":1,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correct median of 9.","code":"B"}],"finalAnswers":["9"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"find_median","label":"Find the median","steps":[{"type":"text","order":0,"title":"Check the order","content":"The numbers are already in ascending order, from smallest to largest. The median is the middle number in an ordered list.","highlights":[{"text":"4 6 9 10 11","location":"specification"}]},{"type":"text","order":1,"title":"Choose the middle","content":"There are $5$ numbers, so the third number is the middle one: $4,\\ 6,\\ \\boxed{9},\\ 10,\\ 11$. Writing $9$ earns the B1 mark.","highlights":[{"text":"Write down the median.","location":"specification"}]}]}],"generatedAt":"2026-07-20T16:25:26.428Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"a4c30fa1-06a6-4d3c-91ae-aae6b1edf28a","label":"c","content":"Calculate the mean.","markscheme":"- Sum of numbers: $4 + 6 + 9 + 10 + 11 = 40$ M1\n- $40 \\div 5 = 8$ A1","marks":2,"order":2,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Shows sum of 40 or division by 5.","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 8.","code":"A"}],"finalAnswers":["8"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"sum_then_divide","label":"Add, then divide","steps":[{"type":"text","order":0,"title":"Recall the mean","content":"To calculate the **mean**, add all the numbers and then divide by how many numbers there are. The list contains $5$ numbers.","highlights":[{"text":"Calculate the mean.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=sum}{\\color{@sky}{4+6+9+10+11}}$"},{"latex":"$$\\htmlData{anchor=total}{\\color{@sky}{40}}$"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"sum"}],"connections":[{"to":"total","from":"sum","color":"sky","label":"add"}]},"order":1,"title":"Add the numbers","description":"Add every number in the list. Correctly finding this total earns the method mark, M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{Mean}=\\htmlData{anchor=division}{\\color{@amber}{40\\div5}}$"},{"latex":"$$\\text{Mean}=\\htmlData{anchor=answer}{\\color{@green}{8}}$"}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"answer"}],"connections":[{"to":"answer","from":"division","color":"green","label":"divide"}]},"order":2,"title":"Divide by five","description":"Divide the total by the number of values. The correct mean earns A1."}]}],"generatedAt":"2026-07-20T16:27:34.824Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":64},"walkthroughVideo":null},{"id":"185b8ab9-2b50-4391-ac86-231fc4ed177a","revisionId":"3d70fed1-1a81-4564-a208-2c94a3b4557c","questionNumber":"3","questionType":"LA","specification":"Here are the heights, in cm, of 8 people.\n\n155 171 164 171 167 188 190 151","difficulty":1,"difficultyBand":"easy","totalMarks":4,"sourceTitle":"Averages","calculatorUse":null,"isCalculation":true,"parts":[{"id":"f19a94a5-465b-4a7b-af7e-828dd70f9e3f","label":"a","content":"Work out the range.","markscheme":"- $190 - 151 = 39$ B1","marks":1,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correct range of 39.","code":"B"}],"finalAnswers":["39"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"largest_minus_smallest","label":"Largest minus smallest","steps":[{"type":"text","order":0,"title":"Recall the range","content":"The **range** is the largest value minus the smallest value.","highlights":[{"text":"Work out the range.","location":"specification"}]},{"type":"text","order":1,"title":"Find the extremes","content":"From the list, the smallest height is $151\\text{ cm}$ and the largest height is $190\\text{ cm}$. Repeated values do not affect the range.","highlights":[{"text":"155 171 164 171 167 188 190 151","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{range}=\\htmlData{anchor=extremes}{\\color{@sky}{190-151}}$"},{"latex":"$$\\text{range}=\\htmlData{anchor=answer}{\\color{@green}{39\\text{ cm}}}$"}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"answer"}],"connections":[{"to":"answer","from":"extremes","color":"green","label":"subtract"}]},"order":2,"title":"Subtract the extremes","description":"Subtract the smallest height from the largest height. This complete calculation earns the B1 mark."}]}],"generatedAt":"2026-07-20T16:38:36.374Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"c1560ecc-0689-49eb-a8fa-2941751ddeb5","label":"b","content":"Find the mode.","markscheme":"- Mode is 171 B1","marks":1,"order":1,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correct mode of 171.","code":"B"}],"finalAnswers":["171"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"find_mode","label":"Find the mode","steps":[{"type":"text","order":0,"title":"Count repeats","content":"The mode is the value that appears most often. In the list, $171$ appears twice; every other height appears once. Therefore, the mode is $171$. This earns the B1 mark.","highlights":[{"text":"155 171 164 171 167 188 190 151","location":"specification"}]}]}],"generatedAt":"2026-07-20T16:40:56.559Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"fa39c9c2-381b-48e9-9661-b306324b4e30","label":"c","content":"Calculate the mean.","markscheme":"- Sum of heights: $155 + 171 + 164 + 171 + 167 + 188 + 190 + 151 = 1357$ M1\n- $1357 \\div 8 = 169.625$ A1","marks":2,"order":2,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Shows sum of 1357 or division by 8.","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 169.625.","code":"A"}],"finalAnswers":["169.625"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"sum_then_divide","label":"Add then divide","steps":[{"type":"text","order":0,"title":"Recall the mean","content":"To calculate the mean, add all the heights, then divide the total by the number of people. There are $8$ heights, so the divisor will be $8$.","highlights":[{"text":"Calculate the mean.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=sum}{\\color{@sky}{155+171+164+171+167+188+190+151}}$"},{"latex":"$$\\htmlData{anchor=total}{\\color{@sky}{\\text{total}=1357\\text{ cm}}}$"}],"highlights":[{"color":"sky","anchor":"sum"},{"color":"sky","style":"text-color-with-background","anchor":"total"}],"connections":[{"to":"total","from":"sum","color":"sky","label":"add"}]},"order":1,"title":"Add the heights","description":"Adding every height gives the total. Showing this complete addition earns the M1 method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{mean}=\\htmlData{anchor=division}{\\color{@amber}{1357\\div 8}}$"},{"latex":"$$\\htmlData{anchor=answer}{\\color{@green}{\\text{mean}=169.625\\text{ cm}}}$"}],"highlights":[{"color":"amber","anchor":"division"},{"color":"green","style":"text-color-with-background","anchor":"answer"}],"connections":[{"to":"answer","from":"division","color":"green","label":"calculate"}]},"order":2,"title":"Divide by eight","description":"Divide the total by the number of people. This correct calculation earns the A1 accuracy mark."}]}],"generatedAt":"2026-07-20T16:42:15.995Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":61},"walkthroughVideo":null},{"id":"1bbdea9a-ef63-45be-bf4b-ee24f5f8257f","revisionId":"c1c627e1-37f0-4f7f-bf90-9ce62559b602","questionNumber":"4","questionType":"LA","specification":"Here are the weights, in grams, of 6 potatoes\n\n150 129 125 133 144 105","difficulty":1,"difficultyBand":"easy","totalMarks":3,"sourceTitle":"Averages","calculatorUse":null,"isCalculation":true,"parts":[{"id":"3e556d6c-afa3-43a3-8e62-1ad0bb967926","label":"a","content":"Work out the range.","markscheme":"- $150 - 105 = 45$ B1","marks":1,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correct range of 45.","code":"B"}],"finalAnswers":["45"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"subtract_extremes","label":"Subtract the smallest from largest","steps":[{"type":"text","order":0,"title":"Find the extremes","content":"The **range** is the largest value minus the smallest value. Here, the largest weight is $150$ g and the smallest weight is $105$ g.","highlights":[{"text":"150 129 125 133 144 105","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\mathrm{Range}=\\htmlData{anchor=subtraction}{\\color{@sky}{150-105}}$"},{"latex":"$$\\mathrm{Range}=\\htmlData{anchor=result}{\\color{@green}{45\\text{ g}}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"subtraction"},{"color":"green","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"result","from":"subtraction","color":"sky","label":"calculate"}]},"order":1,"title":"Subtract the weights","description":"Subtract the smallest weight from the largest. This complete calculation earns the B1 mark."}]}],"generatedAt":"2026-07-20T16:55:03.751Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"ad5b14cf-9cb2-4742-95ad-a627f69123b1","label":"b","content":"Work out the median weight.","markscheme":"- Ordered list: 105, 125, 129, 133, 144, 150 M1\n- Median is $\\frac{129 + 133}{2} = 131$ A1","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Orders the list and identifies the middle two numbers.","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 131.","code":"A"}],"finalAnswers":["131"],"generatedAt":"2026-05-06T15:36:46.080Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"order_then_middle","label":"Order then find the middle","steps":[{"type":"text","order":0,"title":"Order the weights","content":"Write the weights in ascending order (smallest to largest):\n\n$$105,\\ 125,\\ 129,\\ 133,\\ 144,\\ 150$$\n\nThis ordered list earns the **M1** mark. Ordering is essential because the median is the middle value.","highlights":[{"text":"Work out the median weight.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\text{middle weights}=\\htmlData{anchor=pair}{\\color{@sky}{129\\text{ and }133}}"},{"latex":"\\text{median}=\\htmlData{anchor=average}{\\color{@green}{\\frac{129+133}{2}}}"},{"latex":"\\text{median}=\\htmlData{anchor=answer}{\\color{@green}{131\\text{ g}}}"}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"average"}],"connections":[{"to":"average","from":"pair","color":"sky","label":"average them"},{"to":"answer","from":"average","color":"green","label":"calculate"}]},"order":1,"title":"Average the middle pair","description":"There are six values, so there is no single middle value. Average the two middle weights, 129 and 133. Averaging the two middle values to get 131 earns the A1 mark."}]}],"generatedAt":"2026-07-21T03:56:09.955Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":57},"walkthroughVideo":null}],"subjectCode":"igcse_maths__oxford_aqa","summaries":[{"id":"fb42bec9-c187-4405-8685-189346e44ad8","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"a9395a80-544a-4001-9239-a9b566bb93d6","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"185b8ab9-2b50-4391-ac86-231fc4ed177a","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"1bbdea9a-ef63-45be-bf4b-ee24f5f8257f","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"51f71461-f25a-4b84-8942-61b2b536748c","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"d39afe65-8980-4f72-81a6-e2a671725e6d","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"5797ecea-9f1a-4537-afe2-d92ec2737923","difficultyBand":"easy","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"186e22ec-be43-43f3-8abf-e77148c0df58","difficultyBand":"medium","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"684affba-5c65-40a7-84f5-20cb9bf1eae1","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"163a639e-cbc4-4739-8228-ca32ad5dd1d0","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"61e02b0a-58d0-4cbb-9989-cbb6f1dde9f0","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"fe426d45-33bf-4d51-b49c-31d49611a0da","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true}],"title":"Averages","topicId":"07bf142c-a8cf-49e9-9898-15b7333c1339","topicSidebar":"$L3b","topicSlug":"grade-2-2-14-averages","topicTitle":"Averages"}]}],"$L3c","$L3d"]}]