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Students work through problems on cylinders, prisms and pyramids, including curved surface area and areas of circular ends. The test also includes cone and sphere volume calculations, and pool or tank applications that require finding sheet metal area, tiling costs, volume in cubic metres, and capacity in litres. Answers are requested to specified decimal places, degrees of accuracy, or significant figures.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/year-10-mathematics-surface-area-and-volume-practice-test-1/297435/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/year-10-mathematics-surface-area-and-volume-practice-test-1/297435.png","ImageObject",300,407,{"name":92,"@type":93},"Mia  ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":56},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of solids are included in this practice test?","Question",{"text":112,"@type":113},"The test includes cylinders, pyramids (including a rectangular pyramid), cones, and spheres, along with composite solids shown in the figures. There are also real-life contexts such as water tanks, swimming pools, and a cylindrical tin.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does the test handle accuracy requirements for answers?",{"text":117,"@type":113},"Each question specifies a required level of accuracy, such as correct to 1 decimal place, 2 d.p, or 3 significant figures. Students must round their results to match those instructions.",{"name":119,"@type":110,"acceptedAnswer":120},"What real-world calculations are included beyond basic volume?",{"text":121,"@type":113},"There are applications for finding sheet metal area for a cylindrical water tank, calculating tiling cost for a swimming pool using a per m² rate, and converting pool volume to capacity in litres. A tin problem also asks for volume to a given number of decimal places and capacity to the nearest litre.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},297435,1790175624,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":56,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52},687207024478,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Year 10 Mathematics Surface Area and Volume Practice Test 1  \nName   \n1 Find the surface area of the following solids  \na)  \n8 m  \nb)  \n2 Find the surface area of a cylinder, which has a radius of 8 cm and a height of 9.5 cm correct to 1 d.p.  \n3 For the cylinder given find  \n(i) the curved surface area  32 cm  \n(ii) the area of the circular ends   \n(iii) the surface area 40 cm Give the answers correct to 2 d.p  \n4 Find the curved surface area of the cylinder correct to 1 decimal place  \n5.3 m  \n4.3 m  \n5 A water tank is cylindrical in shape. If it has a 1.5 m radius and a height of 2 m, find the area of the sheet metal needed to construct it. (Answer correct to 2 d.p)  \n6 A swimming pool is shown in the diagram. Find the cost of tiling the walls and floor of the pool at $85 per m2  \n8.8 m  \n8.9 m  \n1 m 2 m  \n4.6 m  \n7 Calculate the areas of the following figures  \na) b)  \nc)  \n8 Find the volume of the following solids  \na)  \n8 m  \nb) c)  \n14 cm  \n20 cm  \n9 Find the volumes of the cylinders below. Give the answers to 1 d.p  \na) b)  \n10 Find the volume of a rectangular pyramid which has a base 6.2 cm long and 4.5 cm wide and a height of 9.3 cm.  \n11 A pyramid as a hexagonal base with an area of 12.6 cm2. If the height of the pyramid is 7.1 cm. Calculate the volume  \n12 Calculated the volume of these pyramids  \na)  \nb)  \n13 Find the volume of a cone with a radius of 6.2 cm and a height of 5.8 cm. Give your answer correct to 3 significant figures  \n14 Use Pythagoras’Theorem to calculate the height h correct to 3 decimal places and then use this value to calculate the volume correct to 3 significant figures  \n15 Find the volume of a sphere with a radius of 5.2 cm. Give your answer to 3 sig figs  \n16 If the diameter of a sphere is 3.6 m, calculate the volume of the sphere correct to  \n1 decimal place  \n17 Calculate the volume of these solids  \n18 A swimming pool is shown. Calculate the volume of the pool in cubic metres and its capacity in litres . 1 m2 = 1000 litres  \n19 A tin is cylindrical in shape. Calculate the volume of the tin in cubic centimetres to  \n2 d.p and its capacity to the nearest litre if the tin has a height of 45 cm and a diameter of 25 cm.  \nANSWERS  \n1 a) 172 m2 b) 96 m2 2 879.6 cm2  \n3 i) 80 424.77 cm2 ii) 2513.28 cm2 iii) 82 938.05 cm2  \n4 143.2 m2  \n5 32.99 m2  \n6 4.6 + 9.2 + 40.94 + 13.2 + 13.2 = 81.14 m2 81.14 x 85 = $6896.90 7 a) 80 cm2  \n8 a) 112 m3 b) 3060 cm3 c) 42 cm3 9 a) 1539.4 cm3 b) 904.8 cm3  \n10 86.49 3  \ncm  \n11 29.82 cm3  \n12 a) 48 m3 b) 40 m3 13 233 cm3  \n14 h = 8.307 Volume = 869.9 cm3  \n15 589 cm3  \n16 24.4 m3  \n17 a) 50.4 + 17.64 = 68.04 m3 b) 315 + 173.18 = 488.18 cm3  \n18 Volume = 200 m3 Capacity = 200 x 1000 = 200 000 litres  \n19 Volume = 22 089.32 cm3 Capacity = 22 litres","cbCaibfmAoOoUHqa","https://ap.wps.com/l/cbCaibfmAoOoUHqa","pdf",582088,"English","# Surface area\n## Cylinder surface area and curved area\n## Sheet metal and tiling cost applications\n# Volume\n## Volumes of solids, cylinders, and pyramids\n## Cone, sphere, and combined solids\n## Swimming pool and tin capacity calculations","[{\"question\":\"What types of solids are included in this practice test?\",\"answer\":\"The test includes cylinders, pyramids (including a rectangular pyramid), cones, and spheres, along with composite solids shown in the figures. There are also real-life contexts such as water tanks, swimming pools, and a cylindrical tin.\"},{\"question\":\"How does the test handle accuracy requirements for answers?\",\"answer\":\"Each question specifies a required level of accuracy, such as correct to 1 decimal place, 2 d.p, or 3 significant figures. Students must round their results to match those instructions.\"},{\"question\":\"What real-world calculations are included beyond basic volume?\",\"answer\":\"There are applications for finding sheet metal area for a cylindrical water tank, calculating tiling cost for a swimming pool using a per m² rate, and converting pool volume to capacity in litres. A tin problem also asks for volume to a given number of decimal places and capacity to the nearest litre.\"}]","Year 10 Mathematics Surface Area and Volume Practice Test 1 | PDF",1789744531]