// Numbas version: finer_feedback_settings
{"name": "Multiplication - Times tables", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "advice": "
Times tables knowledge.
\nYou will find many calculations easier if you are able to recall your times tables - multiplication facts up to 10 x 10
\nIf you do not know the answer there is always a way to work it out.
\n\nA common way of working out an answer is to add a number over and over until you have added it the required number of times for the calculation.
\nA property of multiplication is that the order does not matter!
\nSo this addition can be carried out on either number, enabling you to repeatedly add the number you find the easiest to work with from the calcualtion.
\nSo if you need to calculate 6 x 7 this can be worked out by doing either of the repeated additions
\nAdding the 6's, 6 + 6 + 6 + 6 + 6 + 6 + 6 which would give the numbers as you add on 6, 12, 18, 24, 30, 36, 42 so the answer is 42
\nAdding the 7's, 7 + 7 + 7 + 7 + 7 + 7 which gives 7, 14, 21, 28, 35, 42 so the answer is 42
\n\nThe key with learning these is to do them often. The more you test yourself the quicker you will become at answering them and then ultimately you wil be able to recall them without needing to carry out a calcuation.
\nFor further information and questions to try see the video below and the learning sessions that surround it from the Khan Academy website.
\n\n\n", "metadata": {"description": "A couple of multiplication tables to be completed. Numbers to be multiplied are generated randomly. Single digit multiplication recall.
", "licence": "Creative Commons Attribution 4.0 International"}, "parts": [{"prompt": "\n\n\n\n\nX\n | \n\n{a[0]}\n | \n\n{a[1]}\n | \n\n{a[2]}\n | \n\n{a[3]}\n | \n
\n\n\n\n\n{b[0]}\n | \n[[0]] | \n[[1]] | \n[[2]] | \n[[3]] | \n
\n\n\n{b[1]}\n | \n[[4]] | \n[[5]] | \n[[6]] | \n[[7]] | \n
\n\n\n{b[2]}\n | \n[[8]] | \n[[9]] | \n[[10]] | \n[[11]] | \n
\n\n\n{b[3]}\n | \n[[12]] | \n[[13]] | \n[[14]] | \n[[15]] | \n
\n\n
\n", "sortAnswers": false, "marks": 0, "variableReplacements": [], "gaps": [{"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[0]*b[0]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[0]*b[0]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[1]*b[0]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[1]*b[0]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[2]*b[0]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[2]*b[0]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[3]*b[0]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[3]*b[0]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[0]*b[1]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[0]*b[1]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[1]*b[1]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[1]*b[1]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[2]*b[1]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[2]*b[1]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[3]*b[1]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[3]*b[1]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[0]*b[2]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[0]*b[2]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[1]*b[2]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[1]*b[2]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[2]*b[2]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[2]*b[2]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[3]*b[2]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[3]*b[2]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[0]*b[3]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[0]*b[3]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[1]*b[3]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[1]*b[3]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[2]*b[3]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[2]*b[3]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[3]*b[3]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[3]*b[3]", "customMarkingAlgorithm": ""}], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "gapfill", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "unitTests": [], "customMarkingAlgorithm": ""}, {"prompt": "\n\n\n\nX\n | \n\n{a[4]}\n | \n\n{a[5]}\n | \n\n{a[6]}\n | \n\n{a[7]}\n | \n
\n\n\n\n\n{b[4]}\n | \n[[0]] | \n[[1]] | \n[[2]] | \n[[3]] | \n
\n\n\n{b[5]}\n | \n[[4]] | \n[[5]] | \n[[6]] | \n[[7]] | \n
\n\n\n{b[6]}\n | \n[[8]] | \n[[9]] | \n[[10]] | \n[[11]] | \n
\n\n\n{b[7]}\n | \n[[12]] | \n[[13]] | \n[[14]] | \n[[15]] | \n
\n\n
\n\n\n\n", "sortAnswers": false, "marks": 0, "variableReplacements": [], "gaps": [{"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[4]*b[4]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[4]*b[4]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[5]*b[4]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[5]*b[4]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[6]*b[4]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[6]*b[4]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[7]*b[4]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[7]*b[4]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[4]*b[5]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[4]*b[5]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[5]*b[5]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[5]*b[5]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[6]*b[5]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[6]*b[5]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[7]*b[5]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[7]*b[5]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[4]*b[6]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[4]*b[6]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[5]*b[6]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[5]*b[6]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[6]*b[6]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[6]*b[6]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[7]*b[6]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[7]*b[6]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[4]*b[7]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[4]*b[7]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[5]*b[7]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[5]*b[7]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[6]*b[7]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[6]*b[7]", "customMarkingAlgorithm": ""}, {"correctAnswerStyle": "plain", "unitTests": [], "marks": 1, "variableReplacements": [], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "a[7]*b[7]", "showCorrectAnswer": true, "allowFractions": false, "extendBaseMarkingAlgorithm": true, "scripts": {}, "correctAnswerFraction": false, "type": "numberentry", "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "maxValue": "a[7]*b[7]", "customMarkingAlgorithm": ""}], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "gapfill", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "unitTests": [], "customMarkingAlgorithm": ""}], "ungrouped_variables": ["a", "b"], "extensions": [], "name": "Multiplication - Times tables", "preamble": {"css": "", "js": ""}, "rulesets": {}, "tags": [], "statement": "Complete the gaps in the multiplication grids
", "variable_groups": [], "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"a": {"definition": "shuffle(1..10)[0..10]", "description": "", "templateType": "anything", "name": "a", "group": "Ungrouped variables"}, "b": {"definition": "shuffle(0..10)[0..10]", "description": "numbers 0-9 in random order
", "templateType": "anything", "name": "b", "group": "Ungrouped variables"}}, "type": "question", "contributors": [{"name": "Lyn Gardner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1742/"}]}]}], "contributors": [{"name": "Lyn Gardner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1742/"}]}