{"id":4231,"date":"2025-01-18T11:04:27","date_gmt":"2025-01-18T16:04:27","guid":{"rendered":"https:\/\/josmfs.net\/?p=4231"},"modified":"2025-08-19T16:44:43","modified_gmt":"2025-08-19T20:44:43","slug":"tire-wear","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/01\/18\/tire-wear\/","title":{"rendered":"Tire Wear"},"content":{"rendered":"

\"\"Thanks to Futility Closet I discovered a new source of math puzzles: A+Click<\/a>.<\/p>\n

\u201cA+ Click helps students become problem solvers. Free, without ads, no calculators, and without signing-up. The website features a graduated set of 16,000+ challenging problems for students in grades one through twelve, starting from the very simple to the extremely difficult. \u2026 The questions concentrate on understanding, spatial reasoning, usefulness, and problem solving rather than math rules and theorems. The problems include a short description and an illustration to help problem solvers visualize the model. The problems can be solved within one minute and without using a calculator.\u201d<\/p>\n

My only quibble with \u201cThe questions concentrate on understanding, spatial reasoning, usefulness, and problem solving rather than math rules and theorems.\u201d is that by keeping explicit math notation\u00a0 and concepts to a minimum, the use of symbolic algebra and calculus is muted and there is a whiff of the medieval reliance on mental verbal agility rather than the power of the new mathematics.\u00a0<\/p>\n

Still the problems are imaginative and challenging.\u00a0 Here is a good example<\/a>.<\/p>\n

\u201cThe rear tires of my car wear out after 40,000 miles, while the front tires are done after 20,000 miles.\u00a0 Estimate how many miles I should drive before the tires (front and rear) are rotated to drive the maximal distance.<\/p>\n

Answer Choices: \u00a0\u00a0 15,000 miles\u00a0\u00a0\u00a0\u00a0 12,000 miles\u00a0\u00a0\u00a0\u00a0 13,333 miles\u00a0\u00a0\u00a0\u00a0 16,667 miles\u201d<\/p>\n

(I admit solving these under a minute is a challenge, at which I often failed.\u00a0 Ignoring time constraints allows for greater care and a more thorough mulling over the intricacies of the problem.\u00a0 Yes, those who have mastered math can solve problems faster than those who have not, but real mastery of math requires an inordinate attention to details, and that requires time.)<\/p>\n

Answer<\/a>.<\/p>\n

See Tire Wear<\/a> for solutions.<\/p>\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Thanks to Futility Closet I discovered a new source of math puzzles: A+Click. \u201cA+ Click helps students become problem solvers. Free, without ads, no calculators, and without signing-up. The website features a graduated set of 16,000+ challenging problems for students in grades one through twelve, starting from the very simple to the extremely difficult. \u2026 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,284,81],"class_list":["post-4231","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-aplusclick","tag-travel-puzzles"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4231","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4231"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4231\/revisions"}],"predecessor-version":[{"id":4520,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4231\/revisions\/4520"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}