[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207806-en":3,"doc-seo-207806-105":30,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},207806,1236954412713,"McGucket","https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",4,"Exam","Foundation Formula Sheet 2024 - Maths White Board - Perimeter, Area and Volume","Foundation Formula Sheet 2024 provides a compact maths reference for solving key topics: perimeter, area and volume of basic shapes, including trapezium and circle area, prism volume, and circle circumference. It summarises Pythagoras’ theorem and right-triangle trigonometry (SOH CAH TOA), supports probability calculations using set formulas, and includes compound interest and growth/decay word problems. The sheet links formula statements with multiple worked-style question prompts (QU sections) for practice and revision.","+一×二  \n# Maths White Board\n\nFoundation Formula Sheet Rehearsal  \nWritten by Matt Woodfine  \nFoundation Formula Sheet 2024  \nPerimeter,area and volume  \nPythagoras'Theorem and Trigonometry  \nCompound interest  \nProbability  \nWhere a and b are the lengths of the parallel sides and h is their perpendicular separation:  \nArea of a trapezium =X₂(a+b)h  \nVolume of a prism =area of cross section x length  \nWhere ris the radius and d is the diameter:Circumference of a circle=2πr=πdArea of a circle=πr²  \nIn any right-angled triangle where a,band c are the length of the sides and cisthe hypotenuse:a²+b²=c²  \nIn any right-angled triangle ABC where a,b and care the length of the sides and cisthe hypotenuse:  \ntan  \nWhere Pis the principal amount,r is the interest rate over a given period and n is thenumber of times that the interest is compounded:  \nWhere P(A)is the probability of outcome A and P(B)is the probability of outcome B:  \nP(A or B)=P(A)+P(B)-P(A and B)  \n| QU1-Area of 2D shapes   | QU 2-Reverse area of 2D shapes   |  | QU 3-Apply Pythagoras'Theorem   |\n| --- | --- | --- | --- |\n| Calculate the area.  \u003Cbr>8cm   | Calculate the value of x if  \u003Cbr>the area is 40.5cm².  \u003Cbr>9cm   |  | Calculate y to 1dp.  \u003Cbr>y  \u003Cbr>9cm   |\n| QU4-Apply Pythagoras'Theorem   | QU5-Apply SOH CAH TOA   |  | QU6-Apply SOH CAH TOA   |\n| Calculate y to 1dp.  \u003Cbr>18cm  \u003Cbr>ycm  \u003Cbr>5cm   | Find y to 1dp.  \u003Cbr>14cm  \u003Cbr>ycm  \u003Cbr>35°   |  | Find y to 1dp.  \u003Cbr>8cm  \u003Cbr>y°   |\n| QU7-Volume of 3D shapes   | QU8-Area of a circle   |  | QU9-Area of a circle   |\n| Calculate the volume.  \u003Cbr>7cm  \u003Cbr>3cm   | Find the area to 1dp.   |  | Find the area to 1dp.  \u003Cbr>54cm   |\n| QU 10-Calculate growth/decay   | QU 11-Complete and interpret a venn diagram   |  | QU 12-Area of composite shapes   |\n| Find P(GuA).  \u003Cbr>Mia invests E80 into a  \u003Cbr>bank account returning  \u003Cbr>ξ  \u003Cbr>4%each year for 5 years.  \u003Cbr>How much does Mia have  \u003Cbr>in the account after 5  \u003Cbr>years?   |  |  | Calculate the area to 1dp.  \u003Cbr>PNon drzwu to scanl   |\n| QU 14-Area of a circle  \u003Cbr>QU 13-Circumference of a circle   |  |  | QU 15-Calculate growth/decay   |\n\nFind the area to 1dp.  \nRuth invests 90 into a  \nFind the arc length to 1dp.  \nbank account returning  \n0.3%each year for 4  \nyears.How much does  \nRuth have in the account  \nafter 4 years?  \n\n| QU1-Apply SOH CAH TOA   | QU2-Circumference of a circle   |  | QU 3-Calculate growth/decay   |\n| --- | --- | --- | --- |\n| Find y to 1dp.  \u003Cbr>y°  \u003Cbr>10cm   | Find the perimeter to 1dp.   |  | Ruth lost 3%on the value  \u003Cbr>of a car worth 2800 each  \u003Cbr>year for 2 years.How  \u003Cbr>much is the vehicle now  \u003Cbr>worth?   |\n| QU4-Area of a circle   | QU5-Reverse area of 2D shapes   |  | QU6-Volume of 3D shapes   |\n| Find the area to 1dp.   | Calculate the value of x if  \u003Cbr>the area is 22cm².   |  | Calculate the volume.  \u003Cbr>9cm   |\n| QU7-Apply SOH CAH TOA   | QU8-Complete and interpret a venn diagram   |  | QU9-Area of a circle   |\n| Find y to 1dp.  \u003Cbr>14cm   | Find P(EuB).  \u003Cbr>ξ   |  | Find the area to 1dp.  \u003Cbr>14cm   |\n| QU 10-Area of a circle   | QU11-Area of 2D shapes   |  | QU 12-Calculate growth/decay   |\n| Find the area to 1dp.  \u003Cbr>38cm   | Calculate the area.  \u003Cbr>3cm   |  | Will invests E70 into a bank  \u003Cbr>account returning 0.6%  \u003Cbr>each year for 4 years.How  \u003Cbr>much does Will have in the  \u003Cbr>account after 4 years?   |\n| QU 13-Area of composite shapes   | QU 14-Apply Pythagoras'Theorem   |  | QU 15-Apply Pythagoras'Theorem   |\n\nCalculate the area to 1dp.  \nCalculate y to 1dp.  \nCalculate y to 1dp.  \nBort drwm t scal  \n18cm  \ny  \n7cm  \n7cm  \n3cm  \nQU1-Apply SOH CAH TOA  \nQU2-Area of a circle  \nQU 3-Volume of 3D shapes  \n\n| Find y to 1dp.  \u003Cbr>14cm  \u003Cbr>9cm  \u003Cbr>y°   | Find the area to 1dp.  \u003Cbr>4cm   | Calculate the volume.  \u003Cbr>7cm   |\n| --- | --- | --- |\n| QU4-Calculate growth/decay   | QU5-Reverse area of 2D shapes   | QU6-Complete and interpret a venn diagram   |\n| Mia lost 0.4%on the value  \u003Cbr>of a car worth 800 each  \u003Cbr>year ","cbCaic5jIhgqLGeg","https://ap.wps.com/l/cbCaic5jIhgqLGeg","pdf",4951376,1,18,"English","en",105,"# Maths White Board\n## Perimeter, area and volume\n## Pythagoras' Theorem and Trigonometry\n## Compound interest and Growth/decay\n## Probability and Venn diagrams","[{\"question\":\"What formulas are included for 2D and 3D shape calculations?\",\"answer\":\"The sheet includes area of a trapezium, area of a circle, circumference of a circle, and volume of a prism (area of cross section multiplied by length).\"},{\"question\":\"How does the sheet help solve right-triangle problems?\",\"answer\":\"It provides Pythagoras’ theorem for finding side lengths and includes trigonometry guidance using SOH CAH TOA to calculate angles and sides.\"},{\"question\":\"Which financial and probability topics are covered for practice questions?\",\"answer\":\"It covers compound interest using principal, interest rate, and compounding frequency, growth/decay on asset values, and probability rules including unions (A or B) and set-based Venn diagram interpretation.\"}]","Foundation Formula Sheet 2024 - Maths White Board - Perimeter, Area and Volume | 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