In P5 Math<\/a>, your child may be given diagrams with shaded areas. To determine the area of the shaded part, he\/she will need to use the ratios provided in the question.<\/p>\n While it may look overwhelming, applying the right strategies can make these problems easier to tackle.<\/p>\n In this blog post, we\u2019ll share strategies to help your child master how to:<\/p>\n \ud83d\udd18 Label diagrams for clarity<\/p>\n \ud83d\udd18 Apply ratios when solving P5 Math problem sums<\/p>\n \ud83d\udd18 Draw models to simplify calculations<\/p>\n Alternatively, you can also watch my explainer video for free by clicking this link<\/a>.<\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n\n Source: Red Swastika School \u2013 2014 P5 CA2 Examination Paper [Q16]<\/span><\/em> The question tells us that the ratio of the area of the square<\/strong><\/span> to the area of the rectangle<\/strong><\/span> is 2<\/strong><\/span>:5<\/strong><\/span>.<\/p>\n Let us note this information at the side where the area of the square is 2 units and the area of the rectangle is 5 units.<\/p>\n Source: Red Swastika School \u2013 2014 P5 CA2 Examination Paper [Q16]<\/span><\/em><\/p>\n Meanwhile, the ratio of the area of the unshaded part of the square<\/strong><\/span> to the unshaded part of the rectangle<\/strong><\/span> is 1<\/strong><\/span>:3<\/strong><\/span>.<\/p>\n In the diagram, we see that other than a grey square and a blue rectangle, there is a shaded part in the middle.<\/p>\n Let us label the diagram to make it easier to understand.<\/p>\n We\u2019ll use X for the unshaded part of the square, Y for the shaded part of the figure and Z for the unshaded part of the rectangle.<\/p>\n Let us also write down under the area of the square that it is made up of X + Y and under the area of the rectangle that it is made up of Y + Z.<\/p>\n In the second sentence of the question, we see a ratio of 1<\/strong><\/span>:3<\/strong><\/span>. 1<\/strong><\/span> refers to X (the unshaded part of the square), while 3<\/strong><\/span> refers to Z (the unshaded part of the rectangle).<\/p>\n The ratio 1:3 refers to the unshaded parts and has no relationship to the square or the rectangle yet.<\/p>\n Until we can find the relationship, let’s label 1<\/strong><\/span> as 1US<\/strong><\/span>, for the unshaded part of the square.<\/p>\n Let us label the unshaded part of the rectangle as 3US<\/strong><\/span>. We have noted 1US<\/strong><\/span> under the letter X and 3US<\/strong><\/span> under the letter Z in our working.<\/p>\n The question also tells us that the length of the square is 6 cm<\/span><\/strong>.<\/p>\n Source: Red Swastika School \u2013 2014 P5 CA2 Examination Paper [Q16]<\/span><\/em><\/p>\n Since the sides of the square are the same, we will multiply the length of one side by itself.<\/p>\n Now, let us multiply 6 by itself and we will get 36 cm<\/em>2<\/sup>.<\/p>\n <\/p>\n .<\/p>\n Let us now find the area of the rectangle.<\/p>\n Remember that we have noted 2 units for the area of the square. And since the area of the square is 36 cm<\/em>2<\/sup>, 2 units will equate to 36 cm<\/em>2<\/sup>.<\/p>\n We can now find 1 unit, which will give us 18 cm<\/em>2<\/sup>.<\/p>\n To find the area of the blue rectangle, let us find 5 units and we will get 90 cm<\/em>2<\/sup><\/span>, which is the area of the blue rectangle.<\/span><\/p>\n To solve the question, we need to find the area of the shaded part, which we labelled Letter Y.<\/p>\n Letter Y is found in both the area of the rectangle and the area of the square. Let’s use a model to help us visualise is the information better.<\/p>\n For the model of the square, we need two boxes, which we will label as Y in one box and 1US, which is the area of X, in the other box.<\/p>\n Let us also label total area of the square, which is 36 cm<\/em>2<\/sup>.<\/p>\n Let’s do the same for the model of the rectangle.<\/p>\n For the rectangle’s model, we also have letter Y.<\/p>\n We can draw the Y first because the Y in the rectangle is the same as the Y in the square.<\/p>\n Let us proceed to draw three smaller boxes representing 3US<\/strong><\/span>, which is also the area of Z.<\/p>\n Lastly, we need to note that the total area of the rectangle is 90 cm<\/em>2<\/sup>.<\/p>\n What is the difference between both models? We can see that there is a difference of 2US, as noted by the yellow lines below. <\/p>\n 2US is also the difference between the area of the rectangle and the area of the square, giving us a difference of 54 cm<\/em>2<\/sup>.<\/p>\n To find 1US, we just need to take 54 divided by 2 and we will get 27 cm<\/em>2<\/sup>.<\/p>\n <\/p>\n To get our full marks, we must answer the question, which is asking for the area of the shaded part.<\/p>\n To find the shaded part, simply take the area of the square minus the area of the unshaded part of the square, which is 36 cm<\/em>2<\/sup> – 27 cm<\/em>2<\/sup>.<\/p>\n We will arrive at the answer of 9 cm<\/em>2<\/sup>.<\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n 9 cm<\/em>2<\/sup><\/strong><\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n I hope that after reading this P5 Math blog post, you\u2019ve learned these valuable tips in solving word problem sums involving Ratios:<\/p>\n \u2705 Labelling given diagrams<\/p>\n \u2705 Understanding how to apply ratios correctly<\/p>\n \u2705 Drawing models to illustrate relationships<\/p>\n Also remember to use the same units for the different ratios, in this case the ratio of the shaded and unshaded parts.<\/p>\n Stay tuned for more P5 Math<\/a> blog posts coming your way!<\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n [\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row disabled_on=”off|off|off” admin_label=”Math GAP” _builder_version=”4.21.0″ custom_margin=”0px||” custom_padding=”0px||” global_module=”244058″ saved_tabs=”all” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.16″ custom_padding=”|||” global_colors_info=”{}” custom_padding__hover=”|||”][et_pb_divider color=”#898989″ admin_label=”Divider” _builder_version=”4.21.0″ locked=”off” global_colors_info=”{}”][\/et_pb_divider][et_pb_image src=”https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2024\/03\/The-Pique-Lab-Grade-Accelerator-Programme.-CTA.png” align=”center” _builder_version=”4.21.0″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_image][et_pb_text _builder_version=”4.21.0″ text_font=”||||||||” text_text_color=”#333333″ text_font_size=”18px” text_orientation=”center” global_colors_info=”{}”]<\/p>\n If you like our methodology, we’ve some ongoing weekly Math classes:<\/p>\n [\/et_pb_text][et_pb_text _builder_version=”4.21.0″ text_font=”geomanist-medium||||||||” text_text_color=”#f44a4a” text_font_size=”18px” text_line_height=”2em” text_orientation=”center” global_colors_info=”{}”]<\/p>\n P5 Mathematics Grade Accelerator Programme<\/b><\/a> [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ _builder_version=”4.21.0″ _module_preset=”default” global_colors_info=”{}”][et_pb_row _builder_version=”4.21.0″ _module_preset=”default” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.21.0″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":" In this article, we’ll be discussing how to solve this P5 Ratio question from Red Swastika School.<\/p>\n","protected":false},"author":39,"featured_media":246391,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","om_disable_all_campaigns":false,"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[62,80],"tags":[],"post_folder":[],"modified_by":"Jaimie Aberia","_links":{"self":[{"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/posts\/246366"}],"collection":[{"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/comments?post=246366"}],"version-history":[{"count":13,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/posts\/246366\/revisions"}],"predecessor-version":[{"id":246570,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/posts\/246366\/revisions\/246570"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/media\/246391"}],"wp:attachment":[{"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/media?parent=246366"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/categories?post=246366"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/tags?post=246366"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/thepiquelab.com\/blog\/wp-json\/wp\/v2\/post_folder?post=246366"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"Click](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/maxresdefault-1-1024x576.webp\")
<\/a><\/p>\nLet’s Take A Look At This Ratio Question<\/strong><\/span><\/h2>\n
![\"The](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-01-1024x358.png\")
<\/p>\n
<\/p>\nRead Also:<\/h3>\n
\n
Thought Process<\/span>
<\/h2>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-02-1024x374.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-03-1024x416.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-04-1024x490.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-05-1024x431.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-06-1024x145.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-07-1-1024x338.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-08.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-09-1024x587.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-10.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-11.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-12.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-13-1024x409.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-14-1024x385.png\")
<\/p>\n![\"How](\"https:\/\/thepiquelab.com\/blog\/wp-content\/uploads\/2025\/05\/Ratio-How-to-Solve-for-the-Area-of-the-Shaded-Part-of-the-Diagram-15-400x183.png\")
<\/p>\nSuggested Answer For Q16<\/span><\/h2>\n
Conclusion<\/h2>\n
P6 Mathematics Grade Accelerator Programme<\/b><\/a>
S1 Mathematics Grade Accelerator Programme<\/a><\/strong>
S2 Mathematics Grade Accelerator Programme<\/a><\/strong>
S3 Additional Mathematics Grade Accelerator Programme<\/strong><\/a>
S4 Additional Mathematics Grade Accelerator Programme<\/strong><\/a><\/p>\n