// Numbas version: exam_results_page_options {"name": "Primary age multiplication", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Primary age multiplication", "tags": [], "metadata": {"description": "

Product of one of 2, 3, 5, 9, or 10 by a number up to 10. With hints to learn calculation rather than memorisation.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

Practice some multiplication.

", "advice": "

You can see the answers to each part when you click back through your parts in the navigation at the top.

", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random([2,3,5,9,10])", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(1..10)", "description": "", "templateType": "anything"}, "times2": {"name": "times2", "group": "Ungrouped variables", "definition": "b", "description": "", "templateType": "anything"}, "times3": {"name": "times3", "group": "Ungrouped variables", "definition": "b", "description": "", "templateType": "anything"}, "times10": {"name": "times10", "group": "Ungrouped variables", "definition": "b", "description": "", "templateType": "anything"}, "times5": {"name": "times5", "group": "Ungrouped variables", "definition": "b", "description": "", "templateType": "anything"}, "times9": {"name": "times9", "group": "Ungrouped variables", "definition": "b", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "times2", "times3", "times10", "times5", "times9"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Multiply", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [{"label": "Try another one of these", "rawLabel": "Try another one of these", "otherPart": 0, "variableReplacements": [{"variable": "a", "definition": "random([2,3,5,9,10] except a)"}, {"variable": "b", "definition": "random(1..10)"}], "availabilityCondition": "answered", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint", "rawLabel": "Hint", "otherPart": 1, "variableReplacements": [{"variable": "times2", "definition": "b"}], "availabilityCondition": "a=2 and not(b in [1,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint", "rawLabel": "Hint", "otherPart": 1, "variableReplacements": [{"variable": "times2", "definition": "a"}], "availabilityCondition": "b=2 and not(a in [1,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint for times 3", "rawLabel": "Hint for times 3", "otherPart": 2, "variableReplacements": [{"variable": "times3", "definition": "b"}], "availabilityCondition": "a=3 and not(b in [1,2,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint for times 3", "rawLabel": "Hint for times 3", "otherPart": 2, "variableReplacements": [{"variable": "times3", "definition": "a"}], "availabilityCondition": "b=3 and not(a in [2,3,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint", "rawLabel": "Hint", "otherPart": 3, "variableReplacements": [{"variable": "times10", "definition": "b"}], "availabilityCondition": "a=10 and not(b in [1])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint", "rawLabel": "Hint", "otherPart": 3, "variableReplacements": [{"variable": "times10", "definition": "a"}], "availabilityCondition": "b=10 and not(a in [10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint", "rawLabel": "Hint", "otherPart": 4, "variableReplacements": [], "availabilityCondition": "b=1", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint for times 5", "rawLabel": "Hint for times 5", "otherPart": 5, "variableReplacements": [{"variable": "times5", "definition": "b"}], "availabilityCondition": "a=5 and not(b in [1,2,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint for times 5", "rawLabel": "Hint for times 5", "otherPart": 5, "variableReplacements": [{"variable": "times5", "definition": "a"}], "availabilityCondition": "b=5 and not(a in [1,2,5,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint for times 9", "rawLabel": "Hint for times 9", "otherPart": 6, "variableReplacements": [{"variable": "times9", "definition": "b"}], "availabilityCondition": "a=9 and not(b in [1,2,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}, {"label": "Hint for times 9", "rawLabel": "Hint for times 9", "otherPart": 6, "variableReplacements": [{"variable": "times9", "definition": "a"}], "availabilityCondition": "b=9 and not(a in [1,2,9,10])", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Work out \\(\\var{a}\\times \\var{b} = \\) [[0]]

", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Multiplication", "minValue": "a*b", "maxValue": "a*b", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Hint for 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": true, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

You can work out \\(2\\times \\var{times2}\\) using addition: \\(2\\times \\var{times2}=\\var{times2}+\\var{times2}=\\)[[0]]

", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2*times2", "maxValue": "2*times2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Hint for 3", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": true, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

You can work out \\(3\\times \\var{times3}\\) in different ways. (Just fill in the one you want to do, don't worry about the missing marks. Then go back to the previous part and put your answer in there to get the marks counted.

\n", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2*times3", "maxValue": "2*times3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "3*times3", "maxValue": "3*times3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "3*times3", "maxValue": "3*times3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Hint for 10", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": true, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

To multiply by \\(10\\), you just need to put a zero at the end. \\(10\\times \\var{times10}=\\)[[0]].

", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "10*times10", "maxValue": "10*times10", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Hint for 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Times \\(1\\) is always easy: it's just the number itself. So \\(\\var{a}\\times 1= \\)[[0]]

", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "a", "maxValue": "a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Hint for 5", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": true, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

To multiply by \\(5\\), you can multiply by \\(10\\), which is quite easy, and then take half of the answer. It's good practice for doing halves as well!

\n

\\(10\\times \\var{times5}= \\) [[0]], and half of that is [[1]].

", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "10*times5", "maxValue": "10*times5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "5*times5", "maxValue": "5*times5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Hint for 9", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": true, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

To multiply by \\(9\\), the easiest way is to multiply by \\(10\\) and then take the number away once.

\n

\\(10\\times \\var{times9}= \\) [[0]]. Then take away \\(\\var{times9}\\) gives [[1]].

", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "10*times9", "maxValue": "10*times9", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "9*times9", "maxValue": "9*times9", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "explore", "maxMarks": 0, "objectives": [{"name": "Multiplication", "limit": "5", "mode": "sum"}], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Julia Goedecke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5121/"}]}]}], "contributors": [{"name": "Julia Goedecke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5121/"}]}