february problems

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  • 8/11/2019 February Problems

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  • 8/11/2019 February Problems

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    Tadpoles and Minnows

    +. 9n one *ond in the 'orest, scientists 'ound that a sam*le o' *ond "ater contained$: minno"s 'or e#ery ); tad*oles. o" many tad*oles "ould they e8*ect to 'ind

    in a sam*le that contained +1: minno"s- Ma!e a chart to sho" the relationshi*bet"een tad*oles and minno"s.

    Fabulous Fudge

    $. The Fabulous Fudge

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    9dling .1& Gal@Min. .1& Gal@Min.

    Starting .5: Gal. .5: Gal.

    Mo#ing 1 Gal@)) Miles 1 Gal@)5 Miles

    Measurement

    Start out simple...

    Plastic

    &.

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    This will really challenge you...

    Fencing

    7. The Andersons are buying a ne" home. They need to 'ence the yard because theyha#e a dog. The yard is ;) 't. by 1)5 't.

  • 8/11/2019 February Problems

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    This will really challenge you...

    Tomato Plants

    11. Guise**e is *lanting a garden 'ull o' tomato *lants. e can *lace ; *lants so

    that they 'orm : straight lines "ith + *lants on each line. o" is this *ossible-Place ; counters on your des! to re*resent the *lants. 2sing : stic!s e8*eriment

    "ith arranging them into the : lines o' + each.

    Patterns, Algebra, And Functions

    Start out simple...

    #ar"ing Dogs

    1). The number o' times a dog bar!s is de*endent on the number o' *assing cars.o" many cars ha#e *assed "hen a dog bar!s +$ times-

    9' )5 cars *ass, ho" many times "ill the dog bar!-

    (ar!ing DogsEars (ar!s

    & $

    ; ;

    7 15

    4 1+

    15 1&

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    Now try to work this out...

    $ooming $ucchini

    1+. Gordon Greenthumbs li!es to gro" huge *lants. e once gre" a ucchini that

    started out at & inches, then gre" 4 inches to be 1: inches on the second day.

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    Data, Statistics, And Probability

    Start out simple...

    &ards

    1:. These uestions are based on a standard dec! o' :) *laying cards.

    Gi#e a set that "ould ha#e a *robability o' 1@).

    Gi#e a set that "ould ha#e a *robability o' +@1+. B1) cardsC

    Gi#e a set "ith a *robability o' 1@)&. B) cardsC

    Gi#e a set "ith a *robability o' 1@1+. B$ cardsC

  • 8/11/2019 February Problems

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    Now try to work this out...

    Popsicle Pic"ing

    1&. A bo8 o' 1) *o*sicles has eual numbers o' cherry, orange, lime, and gra*e.

    Ale8 li!es e#erything but lime. =hat is the *robability that "hen Ale8 reaches intothe bo8 randomly, he "ill select a *o*sicle that he li!es- T"o days later, ) cherry, 1gra*e, and 1 lime ha#e been eaten. a#e Ale8Hs chances o' randomly choosing a

    lime *o*sicle gone u* or do"n-

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    Ehie' Greg and his cre" "or!ed 'or $: minutes *um*ing more "ater than

    0anessaHs cre", but less than imHs cre" did in an hour.

    Ehuc! and his team *um*ed the same amount o' "ater as 0anessaHs cre" in

    the same amount o' time as imHs cre".

    DarrenHs cre" "or!ed 'or $: minutes and *um*ed the most "ater on the'lames.

    =ho dri#es each truc!, and ho" much "ater did each cre" use to douse the 'ire-

    February Solutions

    February Solutions

    Number Theory| Measurement| Geometry|

    Patterns, Algebra, and Functions| Data, Statistics, and Probability

    Remember: These are open-ended problems. There could be other solutions than

    the ones we are giving.

    Number Theory

    1. ; times

    ). Eartoons 'or 1 1@) hours I 45 minutes

    +. 174 tad*oles

    $. Ehocolate I 15: *ounds% Sugar I )15 *ounds% (utter I 1$; *ounds

    :. Derric! I .5: J .+& J.+) I .;+ gallon

    /on I .5: J .$: I .: gallon

    Measurement

    &. About ++ years. Acce*t ++ or+$.

    http://www.fi.edu/school/math2/febsol.htmlhttp://www.fi.edu/school/math2/febsol.html#theoryhttp://www.fi.edu/school/math2/febsol.html#measurehttp://www.fi.edu/school/math2/febsol.html#geometryhttp://www.fi.edu/school/math2/febsol.html#pafhttp://www.fi.edu/school/math2/febsol.html#dsphttp://www.fi.edu/school/math2/febsol.htmlhttp://www.fi.edu/school/math2/febsol.html#theoryhttp://www.fi.edu/school/math2/febsol.html#measurehttp://www.fi.edu/school/math2/febsol.html#geometryhttp://www.fi.edu/school/math2/febsol.html#pafhttp://www.fi.edu/school/math2/febsol.html#dsp
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    ;. 3ou !no" that $5 suare 'eet are co#ered by 1 *ound. 3ou ha#e :555 suare

    'eet, so you need 1): *ounds o' seed.

    7. $; sections, 1 gate, $& *osts.

    Geometry

    4. : diagonals% & diagonals

    15. Many *ossible ans"ers.

    11.

    Patterns, Algebra, And Functions

    1). 1& cars% $& times

    1+. Day 4

    1$. Triangle I $% /ectangle I :% Eircle I +

    Data, Statistics, And Probability

    1:. Many *ossibilities.

    1&. ;:K or 4@1). Gone u*. No" it is )@7, "hich euals 1@$.

    1;. :;61 Ehuc!% $:,555 gallons

    :;6) im% &5,555 gallons:;6+ Greg% :&, ):5 gallons

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    :;6$ 0anessa% $:,555 gallons

    :;6: Darren% ;7, ;:5 gallons

    HO !"! #O$ !O%