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Covers percentage and ratio problems, average speed over equal distances, linear equations including perpendicular relationships and coordinate points, algebraic manipulation with simplification and factorisation, systems of linear equations, and expressions evaluated for specific values. Includes standard-form calculations, arithmetic progression terms, bread-container area and volume from a removed sloping region, unit-cost comparison across currencies and gallons-to-litres conversion, sector and pond area calculations, rectangle dimensions from area and ratio, and pizza revenue and delivery-payment word problems.",{"@graph":69,"@context":123},[70,84,106],{"@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/mathematics-test-practice-questions/143158/",{"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/mathematics-test-practice-questions/143158.png","ImageObject",300,407,{"name":92,"@type":93},"Finn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the required rules for answering the test questions?","Question",{"text":113,"@type":114},"All questions must be answered. Answers should be written in the space below each question and ALL working must be shown for every question.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you approach the ratio and percentage lunch question?",{"text":118,"@type":114},"Use the given 3:2 ratio to determine the counts of girls and boys, then apply 40% and 10% to those groups and combine to get the total percentage of pupils who have lunch at home.",{"name":120,"@type":111,"acceptedAnswer":121},"Which question types are included beyond algebra?",{"text":122,"@type":114},"The test also includes geometry (sector, pond, rectangle dimensions, container area/volume), arithmetic progression, and word problems involving money and unit conversions for petrol prices.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},143158,1787693422,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":105},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","All questions on this paper must be answered.  \nWrite the answers in the space below each question.  \nShow ALL working for each question.  \n1. At one school girls and boys in ratio 3:2 . 40 % of girls have a lunch at home, 10 % of boys have a lunch at home too. In total what percentage of pupil have lunch.  \n(4 marks)  \n2. Sardorist drives from London to Liverpool in 3 hours at average speed 80km/h. Frank drives from London to Liverpool in 5 hours.  \nFind the average speed of Frank, if the distance is the same.  \n(5 marks)  \n3.  \na) Find the perpendicular equation for y=3x+5, one part of which intersect y=2 .  \nb) Find coordinates of P when x=0  \n(6 marks)  \n(Total marks for page:15)  \n4. Make a the subject  \n􀜲 =  \n􀝊 2 + 􀜽  \n􀝊 + 􀜽  \n(3 marks)  \n5. a) Simplify  \n1 1  \n~~ ~~ − ~~ ~~  \n3 (􀝔 − 4) 4 (􀝔 − 3)  \n………..………….  \n(2 marks)  \nb) Factorise  \n6􀝔2 − 27􀝔 + 30  \nc)  \n(2 marks)  \n4x-7y=51  \nx+3y=-11  \n(2 marks)  \nd) Calculate 􀝐(􀝐2 + 1 − 􀝐) when t = -1  \n(3 marks)(Total marks for page:12)  \n6. Alpha planet is far from the Earth 5 x 10 −4 . Whereas planet Betta is further from Earth to  \n40.000.000 times How far is planet Betta from Earth.  \nGive your answer in standard form.  \n(5 marks)  \n7. Given the first sequence of arithmetic progression-12, ninth is 0  \na) Find out the difference  \n(3 marks)  \nb) Find out the 100th term  \n(3 marks)  \n8. This is bread container with removed sloping area.  \na) Find the area of container  \n(3 marks)  \nb) Find the volume of container  \n(4 marks)(Total marks for page:18)  \n9. In the UK, petrol cost £1.24 per litre. In the USA, petrol cost 3.15 dollars per US gallon  \n1 US gallon = 3.79 litres. £1 = 1.47 dollars Was petrol cheaper in the UK or in the USA?  \n(4 marks)  \n10. Pond has a radius 27m. The angle of the sector is 60  \n􀟨 = 3.14  \na) Find out area of sector  \n(3 marks)  \nb) Find out area of pond. Give your answer in 1 decimal  \n………..………….  \n(4 marks)  \n11. The area of a rectangle is 108 cm². The ratio of the width to the length is 3:4 .  \nFind the length and the width.  \n………..………….  \n(3 marks)  \n(Total marks for page:14)  \n12. Enzo makes pizzas.  \nOne day he makes 36 pizzas. He charges £2.45 for each pizza.  \n(a) Work out the total amount he charges for 36 pizzas.  \n£    \n(3 marks)  \nMario delivers pizzas. He is paid 65p for each pizza he delivers.  \nOne day he was paid £27.30 for delivering pizzas.  \n(b) How many pizzas did Mario deliver?  \n................... pizzas  \n(4 marks)  \n(Total marks for page:7)  \nEND OF TEST","cbCaiu0eIRjmwrRT","https://ap.wps.com/l/cbCaiu0eIRjmwrRT","pdf",138396,"English","# Instructions\n## Answer requirements\n# Questions\n## Ratio and percentages\n## Average speed\n## Linear equations and perpendicular forms\n## Algebra: simplifying, factorising, systems\n## Standard form and distance problems\n## Arithmetic progression\n## Area and volume of a container\n## Petrol cost comparison\n## Sector and pond areas\n## Rectangle dimensions from area and ratio\n## Pizza cost and delivery payments","[{\"question\":\"What are the required rules for answering the test questions?\",\"answer\":\"All questions must be answered. Answers should be written in the space below each question and ALL working must be shown for every question.\"},{\"question\":\"How do you approach the ratio and percentage lunch question?\",\"answer\":\"Use the given 3:2 ratio to determine the counts of girls and boys, then apply 40% and 10% to those groups and combine to get the total percentage of pupils who have lunch at home.\"},{\"question\":\"Which question types are included beyond algebra?\",\"answer\":\"The test also includes geometry (sector, pond, rectangle dimensions, container area/volume), arithmetic progression, and word problems involving money and unit conversions for petrol prices.\"}]","Mathematics Test - Practice Questions | PDF"]