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Tasks require interpreting relationships among quantities, choosing appropriate strategies, evaluating decimal equivalences, simplifying or matching equivalent expressions, and solving multi-step word problems. Additional items test properties like associative/distributive behavior, factor and GCF identification, integer inclusion, area model interpretation, graph/function classification, and pattern-based sequence completion.",{"@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/math-proficiency-and-cst-review-questions-problem-solving-number-operations/396472/",{"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/math-proficiency-and-cst-review-questions-problem-solving-number-operations/396472.png","ImageObject",300,407,{"name":92,"@type":93},"nayy☆","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-09-26",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you choose an appropriate problem-solving strategy for a word problem?","Question",{"text":113,"@type":114},"Identify what the problem asks, then select a strategy such as finding a pattern, drawing a diagram, setting up an equation, or working backwards based on the situation.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which concept is indicated by a student step that rewrites multiplication into expanded distributive form?",{"text":118,"@type":114},"It indicates understanding of the distributive property when a product is broken into sums of partial products.",{"name":120,"@type":111,"acceptedAnswer":121},"How can you determine unit price from a cost-and-quantity word problem?",{"text":122,"@type":114},"Divide the total cost by the number of items in the package to get the price per single item.","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},396472,1790598765,{"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":44,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},962090893153,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Problem Solving Steps and Strategies  \n1. Brett built a tower using four different colored milk cartons. The red carton was below the green carton. The blue carton was above the yellow carton which was above the green carton. Which carton is On top?  \nWhich of the following problem-solving strategies would be most appropriate to use to solve this problem?  \nA Find a pattern B Draw a diagram C Set up an equation D Working backwards  \n2. Nicole wanted to solve a math problem: “If there are 52 weeks in a year and today makes 23 weeks, how many weeks until the end of the year?”  \nWhat should be her last problem solving step?  \nA Devise a plan to solve the problem  \nB Understand what the problem is asking  \nC Carry out the plan  \nD Look back to check her answer is correct  \nNumber and Operations  \n3. Use the student work below to answer the question that follows.  \nStep 1: 4.8 • 0.5 =  \nStep 2: (4 + 0.8) x 0.5 =  \nStep 3: 4 • 0.5 + 0.8 • 0.5 =  \nStep 4: 2 + 0.4 = 2.4  \nStep 3 of this work indicates an understanding of which concept?  \nA. associative property  \nB. commutative property  \nC. distributive property  \nD. multiplicative inverse property  \n~~4~~. Which decimal number is equivalent to 7.3/100?  \nA 0.073 B 0.73 C 7.3 D 73  \n5. Which expression has a value that is greater than 42.537?  \n6. Which expression is equivalent to 65 × 0.15?  \nA 65 × 0.1 + 0.05  \nB 65 × 0.05 + 0.1  \nC (65 × 0.1) + (65 × 0.5)  \nD (65 × 0.1) + (65 × 0.05)  \n7. What is the missing value in the equation shown below?  \nA 1 B 3 C 10 D 30  \n8. The model below is shaded to represent an expression.  \nWhich expression represents the model?  \nA 1/3 x 2/5 B 1/3 x 5/2 C 3 x 2/5 D 3 x 5/2  \n9. Which situation could the expression ¼ ÷ 3 represent?  \nA ¼ of a package of pencils shared equally among three friends  \nB 3 orders of ¼-cup servings of popcorn  \nC 1/3 of a stadium split into four equal sections  \nD a four-foot-long rope cut into 3 equal pieces  \n10. A school librarian ordered new books for the library. Of the new books ordered, 1/3 are science, 2/5 are biography, and the rest ofthe books are fiction. What fraction of the books ordered are fiction?  \nA 3/5 B 3/8 C 4/15 D 11/15  \n11. Andrew wrote the number 96, 245 on the board. In which number is the value of the digit 4 exactly 100 times the value of 4 in the number Andrew wrote?  \nA 681,452 B 462,017 C 246,912 D 124,655  \n12. Please find the value for each letter; each letter represents a distinct value: TWO  \n+ TWO  \nFOUR  \nTo solve this problem, which of the following statements is the most useful?  \nA. Knowing that O cannot be 0  \nB. Knowing that T cannot be smaller than 4  \nC. Knowing that W can be any number  \nD. Knowing that F is 1  \n13. What is six hundred eighty and fourteen thousandths written in standard form?  \nA 608.014 B 608.14 C 680.014 D 680.14  \n14. The common factor of any two prime numbers is   .  \nA 3 B0 C1 D2  \n15. What is the value of p when 47p05 is divisible by 3?  \nA 3 B4 C 2 D1  \n16. The greatest common factor of 10, 100 and 1000 is  \nA 1000 B100 C10 D None of these  \n17. The integers between-3 and 2 includes?  \nA 0, -2, -1, 1 B −2, -1, 0, 1 C −1, -2, 0, 1 D 0, 1, -1, -2  \n18. Using an area model for (10+a) × (20+b) as shown in below, what is the value for the unknown (with the “?” mark) area?  \nA 10b B 20a C ab D 200ab  \n\n|  | 20 | b |\n| --- | --- | --- |\n| 10 | 200 | 10b |\n| a | 20a | ? |\n\n19. Jack puts 1/3 pound of birdseed into his bird feeder every time he fills it. How many times can Jack fill his bird feeder with 5 pounds of birdseed?  \nA 1 2/3 (one and two thirds) B 2 2/3 (two and two thirds) C 8 D 15  \nOperations and Algebra  \n20. Jake takes guitar lessons that cost $120 per month. Which equation can be used to determine the total number of dollars, d, that Jake pays for lessons for any number of months, m?  \nA d = 120 × m B m = 120 × d C d = 120 + m D. m = 120 + d  \n21. A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made ","cbCaitIAhCRG3fQR","https://ap.wps.com/l/cbCaitIAhCRG3fQR","pdf",370389,"English","# Problem Solving Steps and Strategies\n# Number and Operations\n# Operations and Algebra\n# Ratios and Proportion Relations","[{\"question\":\"How do you choose an appropriate problem-solving strategy for a word problem?\",\"answer\":\"Identify what the problem asks, then select a strategy such as finding a pattern, drawing a diagram, setting up an equation, or working backwards based on the situation.\"},{\"question\":\"Which concept is indicated by a student step that rewrites multiplication into expanded distributive form?\",\"answer\":\"It indicates understanding of the distributive property when a product is broken into sums of partial products.\"},{\"question\":\"How can you determine unit price from a cost-and-quantity word problem?\",\"answer\":\"Divide the total cost by the number of items in the package to get the price per single item.\"}]","Math Proficiency and CST Review Questions - Problem Solving & Number Operations | PDF",1790442024,23]