{"id":177,"date":"2022-04-12T06:17:40","date_gmt":"2022-04-12T06:17:40","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=177"},"modified":"2025-11-21T03:49:04","modified_gmt":"2025-11-21T03:49:04","slug":"h-3-guess-and-check-problems","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/h-3-guess-and-check-problems\/","title":{"rendered":"H.3 Guess-and-check problems"},"content":{"rendered":"\n

Guess-and-check problems<\/strong><\/h2>\n\n\n\n

Key Notes :<\/strong><\/p>\n\n\n\n

\u2b50 What is Guess-and-Check?<\/strong><\/h3>\n\n\n\n

It is a problem-solving strategy<\/strong> where you
\ud83d\udc49 make a guess<\/strong>,
\ud83d\udc49 check if it works<\/strong>, and
\ud83d\udc49 change your guess<\/strong> if needed.
\ud83c\udfaf Helps find answers when the solution is not obvious.<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udd0d Steps to Use Guess-and-Check<\/strong><\/h3>\n\n\n\n

1\ufe0f\u20e3 Read the problem carefully<\/strong> \ud83d\udc40
2\ufe0f\u20e3 Make a reasonable guess<\/strong> \ud83e\udd14
3\ufe0f\u20e3 Check if your guess fits the conditions<\/strong> \u2714\ufe0f\u274c
4\ufe0f\u20e3 If it doesn\u2019t work, adjust your guess<\/strong> \ud83d\udd04
5\ufe0f\u20e3 Keep trying until you get the correct answer<\/strong> \ud83c\udf89<\/p>\n\n\n\n

\n\n\n\n

\ud83c\udfa8 Why Use Guess-and-Check?<\/strong><\/h3>\n\n\n\n

\u2714\ufe0f Useful for word problems<\/strong>
\u2714\ufe0f Helps when equations are difficult
\u2714\ufe0f Encourages logical thinking<\/strong> \ud83e\udde0
\u2714\ufe0f Makes problem-solving more fun and interactive<\/strong> \ud83c\udfb2<\/p>\n\n\n\n

\n\n\n\n

\ud83e\udde9 Example<\/strong><\/h3>\n\n\n\n

Problem:<\/strong> Two numbers add up to 30<\/strong>. One number is 5 more<\/strong> than the other. What are the numbers?
\ud83d\udc49 Guess 10 and 20 \u274c (difference is too big)
\ud83d\udc49 Guess 12 and 18 \u274c
\ud83d\udc49 Guess 12.5 and 17.5 \u274c
\ud83d\udc49 Guess 12 and 18<\/strong> \u2192 Check difference = 6 \u274c
\ud83d\udc49 Guess 12.5 and 17.5<\/strong> \u2192 difference = 5 \u2714\ufe0f
\ud83c\udf89 Answer: 12.5 and 17.5<\/strong><\/p>\n\n\n\n

(Simpler examples can also be used in class!)<\/p>\n\n\n\n

\n\n\n\n

\ud83c\udf88 Tips for Guess-and-Check<\/strong><\/h3>\n\n\n\n

\ud83c\udf1f Start with easy guesses<\/strong>
\ud83c\udf1f Keep guesses organized in a table<\/strong> \ud83d\udcdd
\ud83c\udf1f Use pattern clues<\/strong> from the problem
\ud83c\udf1f Don’t repeat wrong guesses
\ud83c\udf1f Think: “\u23f3 Try \u2192 Check \u2192 Improve \u2192 Solve!”<\/p>\n\n\n\n

\n\n\n\n

\ud83e\uddee Guess-and-Check Table Example<\/strong><\/h3>\n\n\n\n
Guess \ud83e\udd14<\/th>Check \u2714\ufe0f\u274c<\/th>Correct? \ud83c\udfaf<\/th><\/tr><\/thead>
5, 10<\/td>\u274c<\/td>No<\/td><\/tr>
8, 13<\/td>\u274c<\/td>No<\/td><\/tr>
10, 15<\/td>\u2714\ufe0f<\/td>Yes \ud83c\udf89<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n\n\n\n

\ud83c\udf89 When to Use Guess-and-Check<\/strong><\/h3>\n\n\n\n

\u27a1\ufe0f Age puzzles \ud83e\uddd3\ud83e\uddd2
\u27a1\ufe0f Number puzzles \ud83d\udd22
\u27a1\ufe0f Price and cost problems \ud83d\udcb0
\u27a1\ufe0f Measurement and time problems \u23f0
\u27a1\ufe0f Missing value questions \u2753<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
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1) Logan made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 6 pans. Each batch of peanut butter brownies makes 7 pans. Logan made 6 batches and ended up with 41 pans of brownies.<\/strong><\/p>\n\n\n\n

How many batches of each type of brownie did he make?<\/strong><\/p>\n\n\n\n

____ batches of fudge brownies<\/strong><\/p>\n\n\n\n

____ batches of peanut butter brownies<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 6.<\/p>\n\n\n\n

Guess #1:<\/strong> 2 batches of fudge brownies and 4 batches of peanut butter brownies<\/p>\n\n\n\n

Find the number of batches:<\/p>\n\n\n\n

2 + 4 = 6<\/p>\n\n\n\n

Find the total pans of brownies:<\/p>\n\n\n\n

(6 \u00d7 2) + (7 \u00d7 4) = 12 + 28 = 40<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #2:<\/strong> 4 batches of fudge brownies and 2 batches of peanut butter brownies<\/p>\n\n\n\n

Find the number of batches:<\/p>\n\n\n\n

4 + 2 = 6<\/p>\n\n\n\n

Find the total pans of brownies:<\/p>\n\n\n\n

(6 \u00d7 4) + (7 \u00d7 2) = 24 + 14 = 38<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #3:<\/strong> 1 batch of fudge brownies and 5 batches of peanut butter brownies<\/p>\n\n\n\n

Find the number of batches:<\/p>\n\n\n\n

1 + 5 = 6<\/p>\n\n\n\n

Find the total pans of brownies:<\/p>\n\n\n\n

(6 \u00d7 1) + (7 \u00d7 5) = 6 + 35 = 41<\/p>\n\n\n\n

The guess is correct. Logan made 1 batch of fudge brownies and 5 batches of peanut butter brownies.<\/p>\n<\/div><\/div>\n\n\n\n

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2) Walter went on a quiz show. The questions in the first round were worth 4 points. The questions in the second round were worth 1 point. Walter answered a total of 6 questions and earned 9 points. <\/strong><\/p>\n\n\n\n

How many questions did he answer in each round?<\/strong><\/p>\n\n\n\n

\u200b _____first-round questions<\/strong>
\u200b _____second-round questions<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 6.<\/p>\n\n\n\n

Guess #1:<\/strong> 2 first-round questions and 4 second-round questions<\/p>\n\n\n\n

Find the number of questions:<\/p>\n\n\n\n

2 + 4 = 6<\/p>\n\n\n\n

Find the total number of points:<\/p>\n\n\n\n

(4 \u00d7 2) + 4 = 8 + 4 = 12<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #2:<\/strong> 3 first-round questions and 3 second-round questions<\/p>\n\n\n\n

Find the number of questions:<\/p>\n\n\n\n

3 + 3 = 6<\/p>\n\n\n\n

Find the total number of points:<\/p>\n\n\n\n

(4 \u00d7 3) + 3 = 12 + 3 = 15<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #3:<\/strong> 1 first-round question and 5 second-round questions<\/p>\n\n\n\n

Find the number of questions:<\/p>\n\n\n\n

1 + 5 = 6<\/p>\n\n\n\n

Find the total number of points:<\/p>\n\n\n\n

(4 \u00d7 1) + 5 = 4 + 5 = 9<\/p>\n\n\n\n

The guess is correct. Walter answered 1 first-round question and 5 second-round questions.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

3) Mrs. Lane bought 4 spools of thread. Each spool of orange thread is 5 metres long and each spool of purple thread is 3 metres long. If Mrs Lane bought 14 metres of thread in total.<\/strong><\/p>\n\n\n\n

How many rolls of each colour did she buy?<\/strong><\/p>\n\n\n\n

\u200b _____spools of orange thread<\/strong>
\u200b _____spools of purple thread<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 4.<\/p>\n\n\n\n

Guess #1:<\/strong> 2 spools of orange thread and 2 spools of purple thread<\/p>\n\n\n\n

Find the number of spools of thread:<\/p>\n\n\n\n

2 + 2 = 4<\/p>\n\n\n\n

Find the total metres of thread:<\/p>\n\n\n\n

(5 \u00d7 2) + (3 \u00d7 2) = 10 + 6 = 16<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #2:<\/strong> 3 spools of orange thread and 1 spool of purple thread<\/p>\n\n\n\n

Find the number of spools of thread:<\/p>\n\n\n\n

3 + 1 = 4<\/p>\n\n\n\n

Find the total metres of thread:<\/p>\n\n\n\n

(5 \u00d7 3) + (3 \u00d7 1) = 15 + 3 = 18<\/p>\n\n\n\n

The guess is incorrect. Try another guess.<\/p>\n\n\n\n

Guess #3: 1 spool of orange thread and 3 spools of purple thread<\/p>\n\n\n\n

Find the number of spools of thread:<\/p>\n\n\n\n

1 + 3 = 4<\/p>\n\n\n\n

Find the total metres of thread:<\/p>\n\n\n\n

(5 \u00d7 1) + (3 \u00d7 3) = 5 + 9 = 14<\/p>\n\n\n\n

The guess is correct. Mrs. Lane bought 1 spool of orange thread and 3 spools of purple thread.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice!\ud83d\udd8a\ufe0f <\/strong><\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Guess-and-check problems Key Notes : \u2b50 What is Guess-and-Check? It is a problem-solving strategy where you\ud83d\udc49 make a guess,\ud83d\udc49 check if it works, and\ud83d\udc49 change your guess if needed.\ud83c\udfaf Helps find answers when the solution is not obvious. \ud83d\udd0d Steps to Use Guess-and-Check 1\ufe0f\u20e3 Read the problem carefully \ud83d\udc402\ufe0f\u20e3 Make a reasonable guess \ud83e\udd143\ufe0f\u20e3 CheckContinue reading “H.3 Guess-and-check problems”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-177","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=177"}],"version-history":[{"count":18,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/177\/revisions"}],"predecessor-version":[{"id":16363,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/177\/revisions\/16363"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}