{"product_id":"averages-problem-solving-worksheet","title":"Averages Problem Solving Mastery | Interactive Digital Lesson | 6 Units, 102 Questions | 11+ \u0026 GCSE","description":"\u003cp\u003e\u003cstrong\u003eBy the end of this lesson your child can take on any averages problem, whether the list changes, the values are hidden behind clues, or two groups of different sizes have to be combined, and know instantly which method it needs.\u003c\/strong\u003e These are the questions that come after mean, median, mode and range have been learned, and they are where most of the marks sit on an 11+ or GCSE Foundation paper.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eTopics covered:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eChanging the list, working out what happens to the mean when a value is added, removed or replaced\u003c\/li\u003e\n\u003cli\u003eHitting a target mean, for example what is needed in the last test to reach a mean of 75, and whether it is even possible\u003c\/li\u003e\n\u003cli\u003eMissing numbers from clues, finding a whole set of numbers from its mean, median, mode and range\u003c\/li\u003e\n\u003cli\u003eWhat changes and what does not, adding the same amount to every value or multiplying every value\u003c\/li\u003e\n\u003cli\u003eTwo groups working backwards, finding one group's mean or size from the combined mean\u003c\/li\u003e\n\u003cli\u003eThe averages grid, filling any missing statistic in a row from whatever the row already gives you\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003eYour child works through this lesson on any screen. They click to reveal each step of a worked example, try the practice questions on paper, then click to check their own answer.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eHow it's structured:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eEach of the 6 units opens with two worked examples your child clicks through line by line, then practice questions colour-coded easy, medium and hard\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003e102 questions in total\u003c\/strong\u003e, each with a click-to-reveal answer and a reveal-all option per section\u003c\/li\u003e\n\u003cli\u003eA final 20-question mixed challenge pulling from all 6 units, the way averages questions actually arrive on an exam paper\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003e\u003cstrong\u003eThe trap most worksheets skip is this.\u003c\/strong\u003e When two groups are combined, children average the two means and stop. That only works when the groups are the same size. This lesson teaches your child to turn every mean into a total first, and to check that the combined answer sits between the two group means, which catches the mistake before it costs a mark.\u003c\/p\u003e\n\n\u003cp\u003eThree interactive tools sit alongside the worked examples. Your child can add or remove a value and watch the mean move, add to or double a whole list and see which measures shift, and fill an averages grid one cell at a time in whatever order they choose.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eUse this if:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eYour child is in Year 4 to Year 11 and already knows how to find the mean, median, mode and range\u003c\/li\u003e\n\u003cli\u003eYou are preparing for the 11+, where multi-step averages questions come up every year\u003c\/li\u003e\n\u003cli\u003eYour child is doing GCSE Foundation and loses marks on the harder averages questions\u003c\/li\u003e\n\u003cli\u003eYou want a resource your child can check their own work with, not one more thing on your to-do list\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003eBuilt by an \u003cstrong\u003eexperienced maths teacher\u003c\/strong\u003e with over 3,000 hours of one-to-one tutoring experience and a Master's in Education.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eBetter value as a bundle.\u003c\/strong\u003e This lesson is one of 4 in the \u003ca href=\"https:\/\/shlc-tutor.co.uk\/products\/averages-range-bundle\"\u003eAverages \u0026amp; Range Bundle\u003c\/a\u003e, all 4 for £15.99 instead of £23.96 bought separately.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eFormat:\u003c\/strong\u003e Interactive digital lesson, link sent by email straight after purchase.\u003cbr\u003e\u003cstrong\u003eSuitable for:\u003c\/strong\u003e Year 4 to Year 11, 11+, KS2, KS3, KS4, GCSE Foundation.\u003c\/p\u003e","brand":"School House Learning Centre","offers":[{"title":"Default Title","offer_id":53544698609930,"sku":null,"price":5.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0732\/7091\/9434\/files\/averages-problem-solving-mastery-11-plus-gcse-interactive-lesson.png?v=1787310689","url":"https:\/\/shlc-tutor.co.uk\/products\/averages-problem-solving-worksheet","provider":"SHLC Tutors","version":"1.0","type":"link"}