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Items cover numerical reasoning about money and combinations of note piles, a least-cost shoe selection using size and color constraints, and spatial reasoning for an unfolded folded paper shape. Critical Thinking tasks assess sentence inference using plus and equals logic, and evaluate which premise must be true for a conclusion about cheating and for agreeing with an explorer’s argument.",{"@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/psat-sample-items-english/143600/",{"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/psat-sample-items-english/143600.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do the questions structure the PSAT sample section?","Question",{"text":113,"@type":114},"The sample is organized under Test A, with separate parts for Problem Solving and Critical Thinking, each containing multiple multiple-choice questions followed by answers and justification.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What methods are used to justify each correct answer?",{"text":118,"@type":114},"Each answer includes a short justification that shows the key reasoning steps, such as converting note combinations to totals, applying size/color constraints, or using logical deductions from given sentences.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of reasoning appear in the Problem Solving section?",{"text":122,"@type":114},"Problem Solving includes numerical reasoning (banknotes), optimization under constraints (least cost shoes), and geometric/spatial reasoning (unfolding a folded rectangle and identifying impossible patterns).","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},143600,1787695963,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Presidential Schools Admissions Test-Sample items with explained answers  \nTest A: Problem Solving  \n1 Anora was counting her money and found that she had 12000 som. She was able to put all of her banknotes into three piles of 100 som notes, 200 som notes and 500 som notes. She found that there were three times as many 100 som notes as 200 som notes, and twice as many 200 som notes as 500 som notes.  \nHow many banknotes did Anora have?  \nA 42  \nB 48  \nC 60  \nD 72  \nE 84  \nKey: D  \nJustification  \nFor every one 500 som banknote, there will be two 200 som banknotes and six 100 som banknotes. So, for every one 500 som banknote there will be a total of 9 banknotes adding up to 1500 som ((1 x 500) + (2 x 200) + (6 x 100)) .  \n12000/1500 = 8, so there will 8 lots of 9 banknotes, and 8 x 9 = 72.  \n2 Mrs Pasha is buying sports shoes for her two sons, Kash and Mekah. The following table shows the shoes that are available.  \n\n| type | sizes available | colours available | cost |\n| --- | --- | --- | --- |\n| shoe A | 1 – 10 | white | $60 |\n| shoe B | 5 – 12 | black, blue | $50 |\n| shoe C | 3 – 8 | black | $55 |\n| shoe D | 2 – 6 | red, black, white | $70 |\n| shoe E | 5 – 10 | blue, black | $40 |\n\nKash needs size 4, but he will not have black or blue shoes.  \nMekah needs size 8, and will only have white or red shoes.  \nWhat is the least amount that Mrs Pasha will have to pay for the two pairs of shoes if her sons’wishes are met?  \nA  \nB  \nC  \nD  \nE  \n$100  \n$110  \n$115  \n$120  \n$130  \nKey: D  \nJustification  \nKash needs size 4, so shoe A, C or D. But shoe C is only available in black, so shoe A or D. Mekah needs size 8, so shoe A, B, C, E. But it must be white or red, so only shoe A.  \nMrs Pasha must buy shoe A + shoe A costing $120, or shoe D + shoe A costing $130. The least cost is therefore $120.  \n3 A piece of rectangular paper is folded in half, and then in half again. The second fold is at rightangles to the first.  \nA corner is cut off the folded paper. The paper is then completely unfolded.  \nWhich of the following is not a possible appearance of the unfolded paper?  \n(The dotted lines represent the folds) .  \nA  \nC  \nB  \nD  \nE  \n\n| | \u003Cbr>|\n| --- | --- |\n| |  |\n\nKey: B  \nJustification  \nB is the only appearance which is not possible. Each of the others can be made by cutting one of the corners.  \nTest A: Critical Thinking  \n4 Lots of people in the world do not have clean water to drink.+  \nDrinking dirty water can easily make people ill.  \n+  \nGovernments have a duty to help people stay healthy.  \n=  \nWhich one of these sentences should go in the space above?  \nA People should not drink dirty water.  \nB Everyone should try to stay healthy.  \nC Lots of people have to travel a long way to find drinking water. D Governments never do their duty.  \nE Governments should make sure people have clean drinking water.  \nKey: E  \nJustification  \nFrom the first two sentences we can conclude that a lack of clean drinking water is likely tobe affecting people’s health. With the addition of the third sentence we can conclude that, since people’s health is partly the responsibility of governments, they have a duty to try to remedy this.  \nDistractors  \nA cannot be concluded, as we are told that some people in the world have no access to clean water.  \nB is not supported by any of the sentences, either independently or in combination.  \nC is not supported by any of the sentences, either independently or in combination.  \nD cannot be concluded, as whilst it is strongly implied that governments are failing in their duties in respect of drinking water, it does not follow that they do not ever do their duty in other respects.  \n5 When Kobe heard that Mansur had got full marks in a recent maths test, he said: “You see? I knew Mansur had cheated.”  \nWhich one of these sentences has to be true for what Kobe says to be correct?  \nA It was not possible for anyone to get full marks on the test because it was so difficult. B Mansur would not have been able to g","cbCaivhYQoZdduoW","https://ap.wps.com/l/cbCaivhYQoZdduoW","pdf",679302,22,"English","# Test A: Problem Solving\n## 1 Money and banknotes\n## 2 Shoe cost minimization\n## 3 Folded paper unfolding\n# Test A: Critical Thinking\n## 4 Clean water sentence inference\n## 5 Deduction from Kobe’s claim\n## 6 Agreeing with a famous explorer","[{\"question\":\"How do the questions structure the PSAT sample section?\",\"answer\":\"The sample is organized under Test A, with separate parts for Problem Solving and Critical Thinking, each containing multiple multiple-choice questions followed by answers and justification.\"},{\"question\":\"What methods are used to justify each correct answer?\",\"answer\":\"Each answer includes a short justification that shows the key reasoning steps, such as converting note combinations to totals, applying size/color constraints, or using logical deductions from given sentences.\"},{\"question\":\"What types of reasoning appear in the Problem Solving section?\",\"answer\":\"Problem Solving includes numerical reasoning (banknotes), optimization under constraints (least cost shoes), and geometric/spatial reasoning (unfolding a folded rectangle and identifying impossible patterns).\"}]","PSAT Sample Items - English | PDF",55]