Math Problems
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enProblem of the Month - February 2024
https://www2.yrdsb.ca/node/4054
<span>Problem of the Month - February 2024</span>
<div class="ckeditor-text"><p>When a number is multiplied by itself, the answer is a perfect square. </p><p>For example, 25 is a perfect square because 5 x 5 is 25. </p><p>In how many ways can the number 1764 be written as the product (multiply) of two perfect squares?</p><p><em><strong>Solution</strong></em></p><p>1764 can be written as a product of two perfect squares in three ways. </p><ul><li>4 x 441</li><li>9 x 196</li><li>36 x 49</li></ul><p>(It can also be written as a product of three perfect squares 4 x 9 x 49)</p><p> </p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Sun, 02/04/2024 - 14:39</span>
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<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Sun, 04 Feb 2024 19:39:22 +0000avital.amar4054 at https://www2.yrdsb.caProblem of the Month - January 2024
https://www2.yrdsb.ca/node/4029
<span>Problem of the Month - January 2024</span>
<div class="ckeditor-text"><p>In how many ways can 15 identical red blocks be put into four piles so that each pile has at least one block and no two piles have the same number of blocks? </p><p>(The order of the piles does not matter).</p><p><strong><em>Solution(s) </em></strong></p><p>There are 6 ways to create four piles with 15 objects and no piles have the same number of objects.</p><p>1 2 3 9</p><p>1 2 4 8</p><p>1 2 5 7</p><p>1 3 4 7</p><p>1 3 5 6</p><p>2 3 4 6</p><p> </p><p> </p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Sun, 01/07/2024 - 19:07</span>
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<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Mon, 08 Jan 2024 00:07:36 +0000avital.amar4029 at https://www2.yrdsb.caProblem of the Month - December 2023
https://www2.yrdsb.ca/node/3886
<span>Problem of the Month - December 2023</span>
<div class="ckeditor-text"><p>Which is a better deal, one round pizza that is 18 inches in diameter for $15 or two round pizzas that are both 12 inches in diameter for $15?</p><p><strong><em>Solution </em></strong></p><p>The 18 inch diameter pizza is a better deal. The area of a circle can be found by the formula A=pi x radius x radius. The area of the top of the 18 inch diameter pizza is about 254 square inches. The area of the top of one 12 inch diameter pizza is about 113 square inches so two of them would have a top area of about 226 square inches. </p><p><em>(Which one would be a better deal if you wanted more crust?)</em></p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Tue, 10/31/2023 - 12:03</span>
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<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Tue, 31 Oct 2023 16:03:48 +0000avital.amar3886 at https://www2.yrdsb.caProblem of the Month - November 2023
https://www2.yrdsb.ca/node/3885
<span>Problem of the Month - November 2023</span>
<div class="ckeditor-text"><p>A person starts at 5 and counts by 10s, so they count 5, 15, 25, …</p><p>Another person starts at 700 and counts by 3s, so they count 700, 703, 706, …</p><p>If they start at the same time and say their numbers at the same rate, who will get <strong>over</strong> 1000 first?</p><p><em><strong>Solution</strong></em></p><p>The person counting by 10s will get over 1000 first. The person who is counting by 10s will be over 1000 after saying 101 numbers. The person who is counting by 3s will be at 1000 after saying 101 numbers and will be over 1000 after saying 102 numbers</p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Tue, 10/31/2023 - 12:01</span>
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<div class="field__label">Department</div>
<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Tue, 31 Oct 2023 16:01:28 +0000avital.amar3885 at https://www2.yrdsb.caProblem of the Month - October 2023
https://www2.yrdsb.ca/node/3859
<span>Problem of the Month - October 2023</span>
<div class="ckeditor-text"><p>If you roll two six-sided fair dice are you more likely to get an even result if you add the top numbers or if you multiply them?</p><p><strong><em>Solution</em></strong></p><p>You are more likely to get an even result if you multiply the dice. If you add them the probability of getting an even number is ½. If you multiply the numbers, the probability of getting an even number is ¾.</p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Fri, 09/29/2023 - 08:46</span>
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<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Fri, 29 Sep 2023 12:46:20 +0000avital.amar3859 at https://www2.yrdsb.caProblem of the Month - September 2023
https://www2.yrdsb.ca/node/3833
<span>Problem of the Month - September 2023</span>
<div class="ckeditor-text"><p>Seven points are randomly placed on the circle shown below. </p><p>How many different triangles can be drawn using these points as vertices?</p><p><img alt="A circle with seven distinct points on its edge" src="https://lh5.googleusercontent.com/jRGbcxCUCaWyEnu9vrk3E3h0mLleP86XTblRrBfGQTnYJILBoFCQEQxZvchamIZXBS6PUiZRj4I3CXXD1cVYpIMSz9FrD9ylijl1ve_PW-w16wMk-9kO3DKtCAD3WbvwFe6vFtFRkpJ84t4pnCpMvyI" /></p><p><strong><em>Solution</em></strong></p><p>There are 35 possible triangles. If we label the points A, B, C, D, E, F, and G then the triangles are: ABC, ABD, ABE, ABF, ABG, ACD, ACE, ACF, ACG, ADE, ADF, ADG, AEF, AEG, AFG, BCD, BCE, BCF, BCG, BDE, BDF, BDG, BEF, BEG, BFG, CDE, CDF, CDG, CEF, CEG, CFG, DEF, DEG, DFG, and EFG. </p><p><em>How many quadrilaterals are possible? Would there be more quadrilaterals or more triangles? Is there a quick way to figure out how many quadrilaterals there would be?</em></p><p> </p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Mon, 09/04/2023 - 20:26</span>
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<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Tue, 05 Sep 2023 00:26:49 +0000avital.amar3833 at https://www2.yrdsb.caProblem of the Month - June 2023
https://www2.yrdsb.ca/node/3698
<span>Problem of the Month - June 2023</span>
<div class="ckeditor-text"><p>Suppose there was one of six prizes inside your favourite box of cereal. </p><p>How many boxes of cereal would you expect to have to buy to get all six prizes?</p><p>Simulate this with a six-sided die. Roll the die and keep track of how many rolls it takes to get all 6 numbers. </p><p>Repeat the experiment several times. </p><p>Approximate the answer to this question by finding the mean (arithmetic average) of all of your results</p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Thu, 06/01/2023 - 14:16</span>
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<div class="field__label">Department</div>
<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Thu, 01 Jun 2023 18:16:54 +0000avital.amar3698 at https://www2.yrdsb.caProblem of the Month - May 2023
https://www2.yrdsb.ca/node/3665
<span>Problem of the Month - May 2023</span>
<div class="ckeditor-text"><p>Can you find four consecutive numbers which add up to 10? </p><p>How about four consecutive numbers that add to 22? How about 110? </p><p><em><strong>Solution</strong></em></p><p>1+2+3+4=10; 4+5+6+7=22; 26+27+28+29=110. </p><p>Can you find four consecutive numbers that add to 298?</p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Mon, 05/01/2023 - 15:28</span>
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<div class="field__label">Department</div>
<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Mon, 01 May 2023 19:28:47 +0000avital.amar3665 at https://www2.yrdsb.caProblem of the Month - April 2023
https://www2.yrdsb.ca/node/3614
<span>Problem of the Month - April 2023</span>
<div class="ckeditor-text"><p>Where on this number line would you place the number 1 billion?</p><p><img alt="The open number line has two numbers on it. On the far left, is the number 0. On the far right is the number 1 trillion. " data-entity-type="file" data-entity-uuid="c4d1834a-e7dd-4b20-adaa-61122b55b798" src="https://www2.yrdsb.ca/sites/default/files/inline-images/April%20POW.png" /></p><p><strong>Solution</strong></p><p>Since 1 trillion is 1 000 billion, we would break up the number line in 1000 equal parts between 0 and 1 trillion and 1 billion would be the first tick beside 0. On this number line 1 billion would be very close to 0. What number is halfway between 1 billion and 1 trillion?</p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Mon, 04/03/2023 - 15:17</span>
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<div class="field__label">Department</div>
<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Mon, 03 Apr 2023 19:17:14 +0000avital.amar3614 at https://www2.yrdsb.caProblem of the Month - March 2023
https://www2.yrdsb.ca/node/3575
<span>Problem of the Month - March 2023</span>
<div class="ckeditor-text"><p>You are ordering round pizzas. </p><p>If you want more pizza, would it make sense to order two 12 inch diameter pizzas or one 18 inch diameter pizza?</p><p> </p><p><strong>Solution</strong></p><p>If you wanted more pizza, it would make sense to order one 18 inch pizza. </p><p>What if you wanted more crust? </p><p>Would it be better to order two 12 inch diameter pizzas or one 18 inch diameter pizza?</p></div><span><span lang="" about="https://www2.yrdsb.ca/user/602" xml:lang="">avital.amar</span></span>
<span>Tue, 02/28/2023 - 17:05</span>
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<div class="field__item"><a href="https://www2.yrdsb.ca/taxonomy/term/378" hreflang="en">Math Problems</a></div>
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Tue, 28 Feb 2023 22:05:12 +0000avital.amar3575 at https://www2.yrdsb.ca