Place the point $\\displaystyle A=\\var[fractionNumbers]{l+a*((r-l)/12)}$ on the number line below by dragging it.
\nNote that the line starts at the number $\\displaystyle \\var{l}$ and finishes at the number $\\displaystyle \\var{r}$. In addition please disregard the numbers that appear when you drag the point $A$, these refer to an invisible grid that enables the program to calculate where you drag the point to.
\nThe point should finish up on a vertical bar, the vertical position of the point does not matter and your answer will default to the nearest vertical bar.
\n{dragpoint()}
", "variableReplacements": [], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill", "gaps": [{"mustBeReducedPC": 0, "correctAnswerFraction": false, "allowFractions": false, "showFeedbackIcon": true, "marks": 1, "scripts": {}, "mustBeReduced": false, "type": "numberentry", "maxValue": "a+0.5", "correctAnswerStyle": "plain", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "minValue": "a-0.5", "notationStyles": ["plain", "en", "si-en"]}]}], "functions": {"dragpoint": {"language": "javascript", "parameters": [], "definition": "// set up the board\n\nJXG.Options.text.fontSize = 15; \n\nvar div = Numbas.extensions.jsxgraph.makeBoard('500px','150px',{boundingBox:[-1,3,13,-3],axis:false,showNavigation:false});\nvar board = div.board;\n\nvar l1 = board.create('line',[[0,0],[12,0]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l2 = board.create('line',[[1,-1],[1,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l3 = board.create('line',[[2,-1],[2,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l4 = board.create('line',[[3,-1],[3,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l5 = board.create('line',[[4,-1],[4,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l6 = board.create('line',[[5,-1],[5,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l7 = board.create('line',[[6,-1],[6,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l8 = board.create('line',[[7,-1],[7,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l9 = board.create('line',[[8,-1],[8,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l10 = board.create('line',[[9,-1],[9,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l11 = board.create('line',[[10,-1],[10,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l12 = board.create('line',[[11,-1],[11,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\n\nvar a1 = board.create('line',[[0,0],[0.5,0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar a2 = board.create('line',[[0,0],[0.5,-0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar a3 = board.create('line',[[12,0],[11.5,0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar a4 = board.create('line',[[12,0],[11.5,-0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\n\nvar l = Numbas.jme.unwrapValue(scope.variables.l);\nvar r = Numbas.jme.unwrapValue(scope.variables.r);\n\nvar b = board.create('point',[-0.8,-0.4],{size:-1,name:l});\nb.setProperty({fixed:true});\nvar c = board.create('point',[11.8,-0.4],{size:-1,name:r});\nc.setProperty({fixed:true});\n\nvar a = board.create('point',[6,2],{size:5});\n\na.on('drag',function(){\n Numbas.exam.currentQuestion.parts[0].gaps[0].display.studentAnswer(a.X()); \n});\n\nreturn div;", "type": "html"}, "dragpointafter": {"language": "javascript", "parameters": [], "definition": "// set up the board\n\nJXG.Options.text.fontSize = 15; \n\nvar div = Numbas.extensions.jsxgraph.makeBoard('500px','150px',{boundingBox:[-1,3,13,-3],axis:false,showNavigation:false});\nvar board = div.board;\n\nvar l1 = board.create('line',[[0,0],[12,0]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l2 = board.create('line',[[1,-1],[1,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l3 = board.create('line',[[2,-1],[2,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l4 = board.create('line',[[3,-1],[3,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l5 = board.create('line',[[4,-1],[4,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l6 = board.create('line',[[5,-1],[5,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l7 = board.create('line',[[6,-1],[6,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l8 = board.create('line',[[7,-1],[7,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l9 = board.create('line',[[8,-1],[8,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l10 = board.create('line',[[9,-1],[9,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l11 = board.create('line',[[10,-1],[10,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar l12 = board.create('line',[[11,-1],[11,1]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\n\nvar a1 = board.create('line',[[0,0],[0.5,0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar a2 = board.create('line',[[0,0],[0.5,-0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar a3 = board.create('line',[[12,0],[11.5,0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\nvar a4 = board.create('line',[[12,0],[11.5,-0.5]], \n {straightFirst:false, straightLast:false, strokeWidth:2,fixed:true});\n\nvar l = Numbas.jme.unwrapValue(scope.variables.l);\nvar r = Numbas.jme.unwrapValue(scope.variables.r);\n\nvar b = board.create('point',[-0.8,-0.4],{size:-1,name:l});\nb.setProperty({fixed:true});\nvar c = board.create('point',[11.8,-0.4],{size:-1,name:r});\nc.setProperty({fixed:true});\n\n\nvar a = Numbas.jme.unwrapValue(scope.variables.a);\n\nvar a = board.create('point',[a,0],{size:5});\na.setProperty({fixed:true});\n\nreturn div;", "type": "html"}}, "variablesTest": {"condition": "floor(l+a*((r-l)/12))<>(l+a*((r-l)/12))", "maxRuns": "144"}, "variables": {"r": {"description": "This is the right hand endpoint of the numberline.
", "definition": "random(1,2,3,4,6,12)+l", "name": "r", "templateType": "anything", "group": "Ungrouped variables"}, "l": {"description": "This is the left hand endpoint of the numberline.
", "definition": "random(-9..10#1)", "name": "l", "templateType": "randrange", "group": "Ungrouped variables"}, "a": {"description": "This is the distance along the number line.
", "definition": "random(1..11)", "name": "a", "templateType": "anything", "group": "Ungrouped variables"}}, "advice": "Since each bar represents $\\displaystyle \\dfrac{\\var{r}-(\\var{l})}{12}=\\var[fractionNumbers]{(r-l)/12}$ and since the number $\\displaystyle A=\\var[fractionNumbers]{l+a*((r-l)/12)}$ lies $\\displaystyle A-(\\var{l})=\\var[fractionNumbers]{l+a*((r-l)/12)}-(\\var{l})=\\var[fractionNumbers]{a*((r-l)/12)}=\\var{a}\\times \\var[fractionNumbers]{(r-l)/12}$ from $\\displaystyle \\var{l}$, the number $\\displaystyle A=\\var[fractionNumbers]{l+a*((r-l)/12)}$ lies $\\displaystyle \\var{a}$ bars from the left as shown below.
\n{dragpointafter()}
", "extensions": ["jsxgraph"], "metadata": {"description": "This question asks you to place a point on a number line. The number is a non integer.
", "licence": "Creative Commons Attribution 4.0 International"}, "name": "Placing a point on a number line (12 bars non integers)", "statement": "This question asks you to place a point on a number line.
", "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["l", "r", "a"], "tags": [], "rulesets": {}, "variable_groups": [], "type": "question", "contributors": [{"name": "Anthony Brown", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/799/"}]}]}], "contributors": [{"name": "Anthony Brown", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/799/"}]}