{"id":1511,"date":"2013-12-02T22:17:40","date_gmt":"2013-12-02T22:17:40","guid":{"rendered":"http:\/\/mrreddy.com\/blog\/?p=1511"},"modified":"2024-10-12T14:24:26","modified_gmt":"2024-10-12T14:24:26","slug":"analysis-of-the-first-50-marks-on-gcse-higher-maths-papers","status":"publish","type":"post","link":"http:\/\/mrreddy.com\/blog\/2013\/12\/analysis-of-the-first-50-marks-on-gcse-higher-maths-papers\/","title":{"rendered":"Analysis of the first 50 marks on GCSE higher maths papers"},"content":{"rendered":"<p>Towards the end of last school year (2012-13), the great members of the KSA maths department did an analysis of the topics coming up in the first 50 marks in GCSE maths higher papers. We looked through a stack of Edexcel and AQA papers from the last few years. Here are our results (interpret them with caution!)<\/p>\n<h1>Non-calculator<\/h1>\n<p><a href=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Noncalc.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1515\" alt=\"Noncalc\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Noncalc.png\" width=\"938\" height=\"520\" srcset=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Noncalc.png 938w, http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Noncalc-300x166.png 300w\" sizes=\"auto, (max-width: 938px) 100vw, 938px\" \/><\/a><br \/>\n<strong>Trends<\/strong><\/p>\n<ol>\n<li>Increase in the proportion of algebra questions<\/li>\n<li>Decrease in the proportion of number questions<\/li>\n<\/ol>\n<p><strong>Breakdown<\/strong><\/p>\n<table width=\"463\" border=\"1\">\n<tbody>\n<tr>\n<td valign=\"top\" width=\"130\"><b><strong>Topic<\/strong><\/b><\/td>\n<td valign=\"top\" width=\"491\"><b><strong>Sub-topic<\/strong><\/b><\/td>\n<td valign=\"top\" width=\"91\"><b><strong>Frequency<\/strong><\/b><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"5\" valign=\"top\" width=\"130\"><span style=\"color: #000080;\">Number<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Four operations with fractions<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Percentages<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Estimation<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Standard form<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Sharing into a ratio<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"5\" valign=\"top\" width=\"130\"><span style=\"color: #800000;\">Algebra<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Solving equations<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Forming equations<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Expanding brackets<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Factorising<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Substitution<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"5\" valign=\"top\" width=\"130\"><span style=\"color: #669900;\">Geometry<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Transformations<\/span><\/p>\n<ul>\n<li><span style=\"color: #669900;\">Reflections<\/span><\/li>\n<li><span style=\"color: #669900;\">Rotations<\/span><\/li>\n<li><span style=\"color: #669900;\">Enlargement<\/span><\/li>\n<li><span style=\"color: #669900;\">Translations<\/span><\/li>\n<\/ul>\n<\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">8<\/span><span style=\"color: #669900;\">3<\/span><br \/>\n<span style=\"color: #669900;\"> 2<\/span><br \/>\n<span style=\"color: #669900;\"> 2<\/span><br \/>\n<span style=\"color: #669900;\"> 1<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Angle rules \u2013 mainly parallel lines<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Interior\/exterior angles<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Area (Parallelogram\/compound)<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Circles (Area\/circumference)<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\" valign=\"top\" width=\"130\"><span style=\"color: #800080;\">Statistics<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800080;\">Probability (Theoretical and experimental)<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800080;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800080;\">Scatter diagrams<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800080;\">2<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Calculator Paper<\/h1>\n<p><a href=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Calc.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1514\" alt=\"Calc\" src=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Calc.png\" width=\"939\" height=\"515\" srcset=\"http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Calc.png 939w, http:\/\/mrreddy.com\/blog\/wp-content\/uploads\/2013\/12\/Calc-300x164.png 300w\" sizes=\"auto, (max-width: 939px) 100vw, 939px\" \/><\/a><br \/>\n<strong>Trends<\/strong><\/p>\n<ol>\n<li>Increase in proportion of geometry questions<\/li>\n<li>Decreases in the proportion of algebra and statistics questions<\/li>\n<\/ol>\n<p><strong>Breakdown<\/strong><\/p>\n<table width=\"462\" border=\"0\">\n<tbody>\n<tr>\n<td valign=\"top\" width=\"130\"><b><strong>Topic<\/strong><\/b><\/td>\n<td valign=\"top\" width=\"491\"><b><strong>Sub-topic<\/strong><\/b><\/td>\n<td valign=\"top\" width=\"91\"><b><strong>Frequency<\/strong><\/b><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"4\" valign=\"top\" width=\"130\"><span style=\"color: #000080;\">Number<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Percentages (Amount. Increase\/decrease, reverse)<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">7<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Money problems<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Ratio<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #000080;\">Types of number<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #000080;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"5\" valign=\"top\" width=\"130\"><span style=\"color: #800000;\">Algebra<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Solving equations<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Forming expressions<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Expanding brackets<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Substitution<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800000;\">Inequalities<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"4\" valign=\"top\" width=\"130\"><span style=\"color: #669900;\">Geometry<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Area (triangles)<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Angles (Triangles, at a point)<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Bearings<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #669900;\">Circles<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #669900;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"3\" valign=\"top\" width=\"130\"><span style=\"color: #800080;\">Statistics<\/span><\/td>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800080;\">Probability<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800080;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800080;\">Averages<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800080;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" width=\"491\"><span style=\"color: #800080;\">Questionnaires<\/span><\/td>\n<td valign=\"top\" width=\"91\"><span style=\"color: #800080;\">2<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Towards the end of last school year (2012-13), the great members of the KSA maths department did an analysis of the topics coming up in the first 50 marks in GCSE maths higher papers. We looked through a stack of&hellip;<\/p>\n","protected":false},"author":1,"featured_media":1515,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,8],"tags":[],"class_list":["post-1511","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pedagogy","category-teachinglearning-ideas"],"_links":{"self":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts\/1511","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/comments?post=1511"}],"version-history":[{"count":9,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts\/1511\/revisions"}],"predecessor-version":[{"id":1523,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/posts\/1511\/revisions\/1523"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/media\/1515"}],"wp:attachment":[{"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/media?parent=1511"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/categories?post=1511"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/mrreddy.com\/blog\/wp-json\/wp\/v2\/tags?post=1511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}