7 szkoły podstawowej

Matematyka wokół nas 7

Matematyka

Matematyka 7

Matematyka 7. Ćwiczenia podstawowe

Matematyka 7. Podręcznik cz. 1

Matematyka 7. Podręcznik cz. 2

Matematyka 7. Zestawy zadań

Matematyka z kluczem 7

Matematyka z plusem 7

Teraz egzamin ósmoklasisty. Arkusze

Teraz egzamin ósmoklasisty. Repetytorium

254​:1,2⋅83​=514​:1012​⋅83​=51147​⋅124102​⋅8431​=7⋅16821​=87​ &nbsp;

a) (1−21​)⋅(1−31​)⋅(1−41​)=211​⋅3121​⋅431​=41​

a) 541​⋅(211​+71​)+3=421​⋅(211​+213​)+3=41211​⋅21141​+3=1+3=4 &nbsp; &nbsp;

95​−0,6:154​197​−131​​= &nbsp; &nbsp; =95​−0,6:1,8197​−193​​= &nbsp;&nbsp; &nbsp;

Suma liczb&nbsp;&nbsp; 0,76 &nbsp; i&nbsp; 172​ &nbsp; to:&nbsp;&nbsp; 0,76+172​ &nbsp; &nbsp;

Obliczmy wagę jednej trufli: łączna masa trufli<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='0.548em' viewBox='0 0 400000 548' preserveAspectRatio='xMinYMin slice'><path d='M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z'/></svg><svg xmlns="http://www.w3.org/2000/svg" width='400em' height='0.548em' viewBox='0 0 400000 548' preserveAspectRatio='xMidYMin slice'><path d='M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z'/></svg><svg xmlns="http://www.w3.org/2000/svg" width='400em' height='0.548em' viewBox='0 0 400000 548' preserveAspectRatio='xMaxYMin slice'><path d='M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z'/></svg>(0,5+21​+1,35+0,375+52​+41​)​​:liczba trufli<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='0.548em' viewBox='0 0 400000 548' preserveAspectRatio='xMinYMin slice'><path d='M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z'/></svg><svg xmlns="http://www.w3.org/2000/svg" width='400em' height='0.548em' viewBox='0 0 400000 548' preserveAspectRatio='xMidYMin slice'><path d='M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z'/></svg><svg xmlns="http://www.w3.org/2000/svg" width='400em' height='0.548em' viewBox='0 0 400000 548' preserveAspectRatio='xMaxYMin slice'><path d='M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z'/></svg>135​​= &nbsp; &nbsp; =(0,5+0,5+1,35+0,375+0,4+0,25):135= &nbsp; &nbsp; =(0,5+0,5+1,35+0,375+0,4+0,25):135= &nbsp; &nbsp; =3,375:135=0,025 [kg]=25 [g]​ &nbsp;&nbsp; &nbsp; &nbsp;&nbsp;&nbsp;

1. (521​−21​)⋅(0,15+0,85)=5⋅1=5 &nbsp;&nbsp;&nbsp; &nbsp;

Suma liczb&nbsp;&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/680a3b5b5578267039233351e099ba32de5b0f364315bfa2c14cb08ed05ba31c_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/680a3b5b5578267039233351e099ba32de5b0f364315bfa2c14cb08ed05ba31c_big.svg" type="image/svg+xml"></object> &nbsp; i&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/39eb028adab720b1111fc85b2459cc6e00e7da000425c60c6d2e231ac3ca36f3_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/39eb028adab720b1111fc85b2459cc6e00e7da000425c60c6d2e231ac3ca36f3_big.svg" type="image/svg+xml"></object> &nbsp; to:&nbsp;&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/4e49d51b533c3097d41722a42edd924f9d7e9a0a20621358e06e9191c68e737a_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/4e49d51b533c3097d41722a42edd924f9d7e9a0a20621358e06e9191c68e737a_big.svg" type="image/svg+xml"></object> &nbsp; &nbsp;

Obliczmy wagę jednej trufli: <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/3ef55a09269a5d9b5934b67529b7bcbafd75e3af19ace53fae771cadf246035a_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/3ef55a09269a5d9b5934b67529b7bcbafd75e3af19ace53fae771cadf246035a_big.svg" type="image/svg+xml"></object> &nbsp; &nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/b8148280eff056807213902eeff63b029f0330163f36f479ea1b9176fcd95e55_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/b8148280eff056807213902eeff63b029f0330163f36f479ea1b9176fcd95e55_big.svg" type="image/svg+xml"></object> &nbsp; &nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/b8148280eff056807213902eeff63b029f0330163f36f479ea1b9176fcd95e55_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/b8148280eff056807213902eeff63b029f0330163f36f479ea1b9176fcd95e55_big.svg" type="image/svg+xml"></object> &nbsp; &nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/806a48093a1329445bcaa4f4879a94a61adaba6d812c8e7fcfcf5c48e6326de9_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/806a48093a1329445bcaa4f4879a94a61adaba6d812c8e7fcfcf5c48e6326de9_big.svg" type="image/svg+xml"></object> &nbsp;&nbsp; &nbsp; &nbsp;&nbsp;&nbsp;

1. <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/499097079a80266ce9e51a2250bbe703b8df83fc024b5e565c60bd1309e8dd49_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/499097079a80266ce9e51a2250bbe703b8df83fc024b5e565c60bd1309e8dd49_big.svg" type="image/svg+xml"></object> &nbsp;&nbsp;&nbsp; &nbsp;

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