[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-449225-105":59,"doc-detail-449225-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","grade-6-sample-mathematics-test-answers-and-explanations","Grade 6 Sample Mathematics Test - Answers and Explanations","","Answers and explanations for a Grade 6 sample mathematics test, intended for correction after students complete practice EQAO Grade 6 Math problems. Provides step-by-step guidance on how learners should reach each solution, focusing on probability, measurement units, coordinate/grid plotting, and interpreting graphs, as well as solving algebraic equations to find unknown values. Encourages parents and teachers to review work and understand the source of mistakes to improve future performance.",{"@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/grade-6-sample-mathematics-test-answers-and-explanations/449225/",{"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/grade-6-sample-mathematics-test-answers-and-explanations/449225.png","ImageObject",300,407,{"name":92,"@type":93},"Rhys","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How should teachers or parents correct the Grade 6 practice test work?","Question",{"text":112,"@type":113},"After children try the practice EQAO Grade 6 Math test, teachers and/or parents should correct and evaluate the answers. Use the explanations to help the child understand why errors were made.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What topics are emphasized in the Mathematics Test 1 solutions?",{"text":117,"@type":113},"The solutions address probability scenarios, measurement and appropriate units for real contexts, grid/coordinate plotting, broken line graph labeling and scaling, and algebraic equation steps to determine unknown values.",{"name":119,"@type":110,"acceptedAnswer":120},"Why is the explanation helpful even if a student gets the answer?",{"text":121,"@type":113},"The explanations show how the student should have arrived at each result, helping them understand tested elements and learn how to avoid similar mistakes in future questions.","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},449225,1790990730,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"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":81},687207024643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","13. ANSWERS AND EXPLANATIONS FOR GRADE 6 SAMPLE MATHEMATICS TEST  \nAfter children have tried the practice EQAO Grade 6 Math test, teachers and/or parents should correct and evaluate their work.  \nFollowing are the answers for that test, and a brief explanation of how the student should have arrived at the answer. Correct your childʼs work; use the explanation to help the child understand why errors were made. Grade 6 math is quite difficult, and children may need help (and your ability to develop similar questions) to understand some of the elements that are being tested. MATHEMATICS TEST 1   \n1. How many times will he get a 3? 11  \nEach number occupies 1/6 of the cube, so the probability is that 3 will come up  \n11 times out of 66 rolls (one out of every six rolls) .  \n2. How many hops will it take the grasshopper to hop 45 metres? 4  \nThe first hop is 24 m; the second is 12 m; third is 6 m; fourth is 3 m. Add those four hops together, and the total is 45m, the total required in the question. [It must be a flying grasshopper, to jump 24 m at one bound!]  \n3. How much greater is (.01 x 482) than (.001 x 482)? 4.338  \nStudents must calculate the expressions in the brackets (4 .82 and . 482), and then subtract 4.82- .482 (remembering to keep the decimal points directly under eachother, and adding a zero to 4.82 if necessary to facilitate subtraction) .  \n4. Which unit is most appropriate to describe the length of a soccer field? metre Far too many millimetres or centimetres would be needed to describe the length of a soccer field; the field would be only a small fraction of a kilometre.  \n5. What is the value of M? 8  \nThe value of T can be calculated from the first equation (7 x 3 = 21) .  \nReplacing T with 7 in the second equation gives the value of M = 8  \n6. Approximately how many times will the arrow stop on red? 20  \nEach colour occupies 1/3 of the circle, so the probability is that the arrow will  \nstop on red 20 times out of 60 spins.  \n7. Which grid shows the correct plotting? Grid D  \nThe first co-ordinate in each bracket refers to the horizontal axis of the graph.  \n8. What is Juliaʼs weight? Juliaʼs weight is 50 kg.  \nStudents must show that they have added the weights of Juliaʼs four linemates, to a total of  \n196 kg. Then they must calculate the total weight of the line, including Julia, by multiplying 49.2 x 5 = 246. The difference between the two totals is Juliaʼs weight.  \n9. The broken line graph should appear as shown at the top of the next page, and be labelled properly:  \nThe scale shown, with intervals of 25 tabs, is best because It must show a range from 25 to 175. The student could omit 200 on the scale. Choosing other intervals than 25 would be inefficient.  \n42  \nPREP","cbCaireXJzozbBLr","https://ap.wps.com/l/cbCaireXJzozbBLr","pdf",30500,"English","# Answers and Explanations for Grade 6 Sample Mathematics Test\n## Mathematics Test 1\n## Selected Answer Explanations","[{\"question\":\"How should teachers or parents correct the Grade 6 practice test work?\",\"answer\":\"After children try the practice EQAO Grade 6 Math test, teachers and/or parents should correct and evaluate the answers. Use the explanations to help the child understand why errors were made.\"},{\"question\":\"What topics are emphasized in the Mathematics Test 1 solutions?\",\"answer\":\"The solutions address probability scenarios, measurement and appropriate units for real contexts, grid/coordinate plotting, broken line graph labeling and scaling, and algebraic equation steps to determine unknown values.\"},{\"question\":\"Why is the explanation helpful even if a student gets the answer?\",\"answer\":\"The explanations show how the student should have arrived at each result, helping them understand tested elements and learn how to avoid similar mistakes in future questions.\"}]","Grade 6 Sample Mathematics Test - Answers and Explanations | PDF",1790729574]