In two successive tests a student gains marks of 57\/79 and 49\/67. Is the second mark better or worse than the first?<\/p>\n\n\n\n
Place the following in order of size, the smallest first, expressing each as a percentage correct to 1 decimal place.<\/p>\n\n\n\n
(a) (b) (c) (d)<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To compare the two marks, we need to calculate each as a percentage and compare their values. Let\u2019s calculate:<\/p>\n\n\n\n The second mark (73.1%) is better<\/strong> than the first mark (72.2%) because it represents a higher percentage score.<\/p>\n\n\n\n Let\u2019s evaluate and rank the following options in ascending order, expressing them to 1 decimal place:<\/p>\n\n\n\n (a)<\/strong> ( \\frac{24}{33} \\times 100 = 72.7\\% ) (b)<\/strong> 65.0%, (c)<\/strong> 72.0%, (a)<\/strong> 72.7%, (d)<\/strong> 73.8%.<\/p>\n\n\n\n The percentages allow us to compare scores across tests or data points with different total marks, providing a fair metric. The percentage<\/strong> calculation standardizes the data by scaling the scores relative to the total possible marks. In the first part of the question, the second test was better because its percentage (73.1%) exceeded the first (72.2%).<\/p>\n\n\n\n In the second part, the percentages for (a), (b), (c), and (d) were calculated, rounded to 1 decimal place, and ranked in ascending order. The lowest percentage (65.0%) belongs to (b)<\/strong>, followed by (c)<\/strong> (72.0%), (a)<\/strong> (72.7%), and finally the highest (d)<\/strong> (73.8%).<\/p>\n\n\n\n Understanding and comparing percentages is an essential skill, especially in exams, financial data, or performance metrics, where relative comparison matters more than absolute values.<\/p>\n","protected":false},"excerpt":{"rendered":" In two successive tests a student gains marks of 57\/79 and 49\/67. Is the second mark better or worse than the first? Place the following in order of size, the smallest first, expressing each as a percentage correct to 1 decimal place. (a) (b) (c) (d) The Correct Answer and Explanation is : To compare […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-183763","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/183763","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=183763"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/183763\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=183763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=183763"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=183763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Marks scored = 57
Total marks = 79
Percentage = ( \\frac{57}{79} \\times 100 = 72.2\\% ) (to 1 decimal place).<\/li>\n\n\n\n
Marks scored = 49
Total marks = 67
Percentage = ( \\frac{49}{67} \\times 100 = 73.1\\% ) (to 1 decimal place).<\/li>\n<\/ol>\n\n\n\nComparison:<\/h3>\n\n\n\n
\n\n\n\nOrdering Percentages:<\/h3>\n\n\n\n
(b)<\/strong> ( \\frac{13}{20} \\times 100 = 65.0\\% )
(c)<\/strong> ( \\frac{18}{25} \\times 100 = 72.0\\% )
(d)<\/strong> ( \\frac{45}{61} \\times 100 = 73.8\\% )<\/p>\n\n\n\nOrdered Percentages:<\/h3>\n\n\n\n
\n\n\n\nExplanation:<\/h3>\n\n\n\n