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5.12}}{2.97^2}$","difficulty":2,"difficultyBand":"easy","totalMarks":3,"sourceTitle":"Using a Calculator","calculatorUse":null,"isCalculation":true,"parts":[{"id":"be8da2ff-699e-4bbb-818c-e08f8b48e699","label":"a","content":"Write down all the figures on your calculator display.","markscheme":"- Award method mark for evaluating the numerator $\\sqrt{7.24}$ or denominator $8.8209$ M1\n- Final answer 0.3050397136 A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Evaluates a part of the expression, e.g., $\\sqrt{7.24}$ or $8.8209$.","code":"M"},{"id":"p2","marks":1,"description":"Final answer 0.3050397136","code":"A"}],"finalAnswers":["0.3050397136"],"generatedAt":"2026-05-06T15:40:37.681Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"calculator_evaluation","label":"Evaluate the calculator expression","steps":[{"type":"text","order":0,"title":"Enter the expression","content":"Use brackets for the whole numerator, then enter\n\n$$\\frac{\\sqrt{(12.36-5.12)}}{(2.97)^2}$$\n\nThe brackets ensure that the square root applies to the complete subtraction and that the square applies to all of $2.97$.","highlights":[{"text":"Write down all the figures on your calculator display.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\sqrt{12.36-5.12}=\\sqrt{\\htmlData{anchor=inside}{\\color{@sky}{7.24}}}"},{"latex":"(2.97)^2=\\htmlData{anchor=denominator}{\\color{@orange}{8.8209}}"},{"latex":"\\dfrac{\\sqrt{7.24}}{8.8209}=\\dfrac{\\htmlData{anchor=numerator}{\\color{@sky}{2.6907248094\\ldots}}}{8.8209}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"inside"},{"color":"orange","style":"text-color-with-background","anchor":"denominator"},{"color":"sky","style":"text-color-with-background","anchor":"numerator"}],"connections":[{"to":"numerator","from":"inside","color":"sky","label":"evaluate root","style":"solid"}]},"order":1,"title":"Evaluate each part","description":"First evaluate the subtraction and the square. Showing the square root of 7.24 or 8.8209 earns the method mark."},{"type":"text","order":2,"title":"Copy the display","content":"Now divide without rounding any intermediate values. The calculator display gives\n\n$$\\boxed{0.3050397136}$$\n\nWrite every displayed digit, as requested. This is the final accuracy mark.","highlights":[{"text":"Write down all the figures on your calculator display.","location":"specification"}]}]}],"generatedAt":"2026-07-21T04:04:00.350Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]},{"id":"cafe09fa-8b70-4207-b7c7-b20ff52053b2","label":"b","content":"Write your answer to part (a) correct to 2 decimal places.","markscheme":"0.31 B1","marks":1,"order":1,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correctly rounds the previous answer to 2 decimal places.","code":"B"}],"finalAnswers":["0.31"],"generatedAt":"2026-05-06T15:40:37.681Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":80},"walkthroughVideo":null},{"id":"16e2be3a-0d6a-4ce6-9651-e9148b68483d","revisionId":"88a56ba9-fe47-4cf2-952b-3dc9c8b55af0","questionNumber":"9","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Using a Calculator","calculatorUse":null,"isCalculation":true,"parts":[{"id":"d5bcbf09-9337-4012-9392-c6dfed6d38ce","label":"0","content":"Work out $\\sqrt{\\frac{25.1 - 3.87}{5.23 + 2.04}}$\n\nWrite down all the figures on your calculator display.","markscheme":"- Award method mark for evaluating the fraction inside the square root $\\frac{21.23}{7.27}$ or $2.9202...$ M1\n- Final answer 1.708865145 A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Evaluates the fraction inside the root as $\\frac{21.23}{7.27}$ or approx $2.92$.","code":"M"},{"id":"p2","marks":1,"description":"Final answer 1.708865145","code":"A"}],"finalAnswers":["1.708865145"],"generatedAt":"2026-05-06T15:40:37.681Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"827386ad-2dfc-4cb5-a43c-a165d7fb1447","revisionId":"b2da920c-f05f-42ab-9b86-7ffcfcd1026d","questionNumber":"10","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":3,"sourceTitle":"Using a Calculator","calculatorUse":null,"isCalculation":true,"parts":[{"id":"b8b50fc4-78ee-465d-a39b-a20fb2c4653e","label":"a","content":"Find the value of $30.5^2 + 12.1^2$","markscheme":"1076.66 B1","marks":1,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Final answer 1076.66","code":"B"}],"finalAnswers":["1076.66"],"generatedAt":"2026-05-06T15:40:37.681Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"square_and_add","label":"Square then add","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=firstsquare}{\\color{@sky}{30.5^2}}=930.25"},{"latex":"\\htmlData{anchor=secondsquare}{\\color{@green}{12.1^2}}=146.41"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"firstsquare"},{"color":"green","style":"text-color-with-background","anchor":"secondsquare"}]},"order":1,"title":"Work out the squares","description":"Square each number, then add the results."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=total}{\\color{@orange}{930.25+146.41=1076.66}}"},{"text":" "}]},"order":2,"title":"Add the results","description":"Now add the two squared values. Giving the correct final value earns the B1 mark."}]}],"generatedAt":"2026-07-21T04:09:51.056Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]},{"id":"b342ade0-8d6b-4361-a6f8-f3bd68e53493","label":"b","content":"Find the value of $\\sqrt{5.13 + 10.28} - 0.97$","markscheme":"- Award method mark for evaluating the square root $\\sqrt{15.41}$ or $3.9255...$ M1\n- Final answer 2.955557285 A1","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Evaluates the square root part as $\\sqrt{15.41}$ or approx $3.9255$.","code":"M"},{"id":"p2","marks":1,"description":"Final answer 2.955557285","code":"A"}],"finalAnswers":["2.955557285"],"generatedAt":"2026-05-06T15:40:37.681Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"igcse_maths","summaries":[{"id":"c62eab09-52f9-47ce-82a5-e99d1591306d","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":false},{"id":"a3e754f6-ec5b-4da1-91f6-f2b7c5f67260","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":false},{"id":"b00371ac-7a40-4a2e-8427-8cf5c1fff218","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":false},{"id":"7fbf0ace-de59-4dfe-b9b4-d66fdc1cf738","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":false},{"id":"f035fada-f39d-4bd2-afe1-107e0527bade","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"cae2cc84-4985-4add-90c5-3480e98b0b3c","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"c3553241-8240-4c30-a8d7-358076b5a559","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"e4480a23-5472-4fc6-9a08-2e1295ed1c95","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"16e2be3a-0d6a-4ce6-9651-e9148b68483d","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"827386ad-2dfc-4cb5-a43c-a165d7fb1447","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"8f11d194-6371-48a0-b11d-a5f6fa362456","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"215c6732-da5f-4f90-8675-8076c050b6e8","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"3f641c1c-731d-4110-8c8a-360650587b74","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"e096bdcc-64cd-4f92-9aac-11f274b1c654","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true}],"title":"Using a Calculator","topicId":"4d29d37d-a892-4094-a5f5-9f8a2c092cff","topicSidebar":"$L3b","topicSlug":"grade-2-2-2-using-a-calculator","topicTitle":"Using a Calculator"}]}],"$L3c","$L3d"]}]