[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-572862-105":53,"doc-detail-572862-en":126},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":119,"head_meta":121,"extra_data":123,"updated_unix":125},105,"en","tips-and-ideas-for-learning-multiplication-tables","Tips and Ideas for Learning Multiplication Tables","","Practical guidance for helping children learn the multiplication tables using a multiplication grid and visual patterns. Explains repeated-number structure around the diagonal and introduces table-specific shortcuts for 10×, 5×, 9×, and 3× using digit relationships and unit changes. Provides step-by-step examples and memory aids for 1× through at least 7×, including even/multiple rules for 2×, digit-sum testing for 3×, doubling or last-two-digit checks for 4×, ending-digit logic for 5×, and properties plus computation strategies for 6× and beyond.",{"@graph":63,"@context":118},[64,80,101],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/tips-and-ideas-for-learning-multiplication-tables/572862/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/tips-and-ideas-for-learning-multiplication-tables/572862.png","ImageObject",442,249,{"name":88,"@type":89},"Finn","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-15","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":9},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"How does the multiplication grid help children learn faster?","Question",{"text":108,"@type":109},"Children are encouraged to notice patterns across the grid, especially how numbers mirror across the diagonal and how certain shaded regions repeat corresponding values.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"What trick helps determine whether a number is in the 3× table?",{"text":113,"@type":109},"Add the digits of the number to get the digit sum; if the digit sum is 3, 6, or 9, the number is in the 3× table, with examples like 15 → 1+5=6.",{"name":115,"@type":106,"acceptedAnswer":116},"What tips are given for learning the 6× table?",{"text":117,"@type":109},"The material notes that 6× results are even and multiples of 3, describes how digit sums behave, and suggests computing 6× by tripling the number and then doubling the answer (e.g., 5×6 via 5×3 then ×2).","https://schema.org",{"og:url":78,"og:type":120,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":122,"canonical":78},"index,follow",{"doc_id":124,"site_id":56},572862,1792062406,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":9,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":135,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":47},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","Tips and ideas for learning the multiplication tables  \nTips and ideas for learning times tables  \nUsing a multiplication grid (up to 10 × 10)  \nPatterns Get children to notice the patterns in the multiplication tables:  \n􀂾 The numbers in the section to the right of the diagonal (white squares) are the same as in the section to the left of the diagonal. Or, in other words, the numbers in the darker shaded section are repeated in the lighter shaded section.  \n􀂾 The 10 × table is just the 10s in order (10, 20, 30, 40 and so on) .  \n􀂾 The 5 × table has numbers ending in 5 and 0 alternately, while the first digit increases every 2 numbers.  \n􀂾 The 9 × table has the units decreasing by 1 and the 10s increasing by 1 each time (up to 10 × 9)  \n􀂾 The numbers in the 3 x table have the sum of their digits coming to 3, then 6, then 9. This pattern repeats throughout the table: e.g. 12: 1 + 2 = 3; 15: 1 + 5 = 6, 18: 1 + 8 = 9.  \nTips for remembering the multiplication tables  \nThe 1 × table  \n1 × 1 = 1  \n2 × 1 = 2  \n3 × 1 = 3  \n4 × 1 = 4  \n5 × 1 = 5  \n6 × 1 = 6  \n7 × 1 = 7  \n8 × 1 = 8  \n9 × 1 = 9  \n10 × 1 = 10  \nThe 2 × table  \n1 × 2 = 2  \n2 × 2 = 4  \n3 × 2 = 6  \n4 × 2 = 8  \n5 × 2 = 10  \n6 × 2 = 12  \n7 × 2 = 14  \n8 × 2 = 16  \n9 × 2 = 18  \n10 × 2 = 20  \nHave a look at these timesavers.  \nA number is even when it can be divided by two without a remainder.  \n2 divided by 2 is 1.  \n10 divided by 2 is 5.  \nAll even numbers can be divided by 2.  \nTo find out if a number is in the 2 × table, look at the digit at the end.  \nIf a number ends in 0, 2, 4, 6, or 8 it is even and is a multiple of 2.  \n1,357,318 is a multiple of 2 because the digit at the end is 8.  \nMultiplying a number by 2 is the same as doubling it.  \nDouble 6 is the same as 6 × 2, which equals 12.  \nDividing a number by 2 is the same as halving it.  \nHalf of 10 is the same as 10 ÷ 2 which equals 5.  \nThe 3 × table  \n1 × 3 = 3  \n2 × 3 = 6  \n3 × 3 = 9  \n4 × 3 = 12  \n5 × 3 = 15  \n6 × 3 = 18  \n7 × 3 = 21  \n8 × 3 = 24  \n9 × 3 = 27  \n10 × 3 = 30  \nHave a look at these timesavers.  \nThere’s a clever trick you can use to find out if a number is in the 3 × table. Add up the digits of the number you want to find out about-this is called finding the digit sum. If the digit sum is 3, 6, or 9, then you know that it’s in the 3 × table.  \nLet’s look at 15.  \nThe digits are 1 and 5.  \nAdd those together and you get 6.  \n1 + 5 = 6.  \nSo 15 is in the 3 × table.  \nNow let’s look at a bigger number: 156.  \nThe digits are 1, 5 and 6.  \nAdd 1 + 5 + 6 and you get 12.  \nNow add up the digits 1 and 2 and you get 3.  \nSo 156 is in the 3 × table.  \nThis trick always works, even with a really big number like 12,346,911.  \nJust add up the digits:  \n1 + 2 + 3 + 4 + 6+ 9 + 1 + 1 = 27  \nthen add 2 + 7 = 9  \nSo 12,346,911 is in the 3 × table.  \nThe 4 × table  \n1 × 4 = 4  \n2 × 4 = 8  \n3 × 4 = 12  \n4 × 4 = 16  \n5 × 4 = 20  \n6 × 4 = 24  \n7 × 4 = 28  \n8 × 4 = 32  \n9 × 4 = 36  \n10 × 4 = 40  \nHave a look at these timesavers.  \nAll the numbers in the 4 × table are even-they end with 0, 2, 4, 6 or 8.  \nYou can work out a 4 × table calculation by doubling the number twice.  \n7 × 4 is the same as 7 × 2 × 2  \n7 × 2 = 14, then 14 × 2 = 28  \nLook at the last 2 digits of the number you want to find out about. If they are a multiple of 4, then the whole number is also a multiple of 4.  \nLet’s look at the number 116. This is a multiple of 4 because 16 is in the 4 × table.  \nYou can reverse the calculation if that makes it easier. Have a look at these coins:  \nThere are 5 piles with 4 coins in each.  \nThis is 5 lots of 4 or 5 × 4.  \nCount them up-there are 20.  \nYou could also have 4 piles with 5 coins in each:  \n4 lots of 5 or 4 × 5.  \nThe number of coins is the same.  \nThe 5 × table  \n1 × 5 = 5  \n2 × 5 = 10  \n3 × 5 = 15  \n4 × 5 = 20  \n5 × 5 = 25  \n6 × 5 = 30  \n7 × 5 = 35  \n8 × 5 = 40  \n9 × 5 = 45  \n10 × 5 = 50  \nHave a look at this timesaver.  \nThis is an easy one. All multiples of 5 end in a 5 or a 0.  \nSo 4,320 is in the 5 × ","cbCaitmfGIBtNpKU","https://ap.wps.com/l/cbCaitmfGIBtNpKU","pdf",494679,13,"English","# Using a multiplication grid\n## Patterns to notice\n# Timesavers for key tables\n## 1×, 2×, 3×, 4×\n## 5×, 10×\n## 6× and 7×\n# Remembering strategies","[{\"question\":\"How does the multiplication grid help children learn faster?\",\"answer\":\"Children are encouraged to notice patterns across the grid, especially how numbers mirror across the diagonal and how certain shaded regions repeat corresponding values.\"},{\"question\":\"What trick helps determine whether a number is in the 3× table?\",\"answer\":\"Add the digits of the number to get the digit sum; if the digit sum is 3, 6, or 9, the number is in the 3× table, with examples like 15 → 1+5=6.\"},{\"question\":\"What tips are given for learning the 6× table?\",\"answer\":\"The material notes that 6× results are even and multiples of 3, describes how digit sums behave, and suggests computing 6× by tripling the number and then doubling the answer (e.g., 5×6 via 5×3 then ×2).\"}]","Tips and Ideas for Learning Multiplication Tables | PDF",1791929731]