• Beispiele für Baustein Rechenaufgabe 101
  • tutory
  • 30.06.2020
  • Mathematik
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  • Beispiele für den Baustein Rechenaufgabe 101

    1
    Fülle die Lücken!
    • 9 + = 28
    • + 18 = 22
    • 2 + = 22
    • + 17 = 24
    • + 13 = 14
    • + 10 = 17
    • 4 + = 17
    • 3 + = 17
    • 5 + = 20
    2
    Fülle die Lücken! (Zahlen 1-100)
    • 117 - = 39
    • 37 - = 21
    • 126 - = 93
    • 29 - = 20
    • 79 - = 46
    • 182 - = 90
    • 96 - = 69
    • 101 - = 13
    • 96 - = 35
    3
    Finde die richtige Rechenoperation!
    • 5 4 = 1
    • 11 4 = 7
    • 7 4 = 11
    • 2 5 = 7
    • 5 2 = 3
    • 9 5 = 14
    • 9 5 = 4
    • 12 8 = 4
    • 6 10 = 16
    4
    Fülle die Lücken! (Zahlen 1-100)
    • 64 - = 9
    • 8 - = 4
    • 42 - = 18
    • 18 - = 15
    • 50 - = 9
    • 22 - = 6
    • 51 - = 27
    • 44 - = 8
    • 28 - = 20
    5
    Fülle die Lücken! (Dezimalstellen)
    • 15,96 - = 7,596
    • 7,00 - = 1,075
    • 5,17 - = 2,323
    • 6,91 - = 5,687
    • 4,95 - = 3,113
    • 11,49 - = 8,015
  • 6
    Multipliziere!
    • 6,94 ⋅ 2,88 =
    • 5,73 ⋅ 6,04 =
    • 5,32 ⋅ 5,91 =
    • 8,39 ⋅ 5,79 =
    • 2,09 ⋅ 1,77 =
    • 5,98 ⋅ 1,05 =
    7
    Multipliziere und runde!
    • 6,80 € ⋅ 5,92 =
    • 7,76 € ⋅ 9,49 =
    • 5,80 € ⋅ 9,59 =
    • 7,84 € ⋅ 6,92 =
    • 7,39 € ⋅ 8,56 =
    • 1,90 € ⋅ 2,24 =
    8
    Dividiere!
    • 27 : 9 =
    • 16 : 8 =
    • 72 : 9 =
    • 27 : 3 =
    • 16 : 2 =
    • 10 : 5 =
    9
    Dividiere! (ACHTUNG FEHLER!)
    • 5 : 4 =
    • 4 : 8 =
    • 8 : 4 =
    • 4 : 5 =
    • 3 : 3 =
    • 7 : 7 =
    10
    Berechne!
    • 122=144\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 12^2 = \cloze{144}
    • 102=100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 10^2 = \cloze{100}
    • 82=64\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 8^2 = \cloze{64}
    • 122=144\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{12}^2 = 144
    • 72=49\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{7}^2 = 49
    • 102=100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{10}^2 = 100
    11
    Berechne!
    • 64=8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \sqrt{64} = \cloze{8}
    • 36=6\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \sqrt{\cloze{36}} = 6
    • 16=4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \sqrt{16} = \cloze{4}
    • 1=1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \sqrt{\cloze{1}} = 1
    • 64=8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \sqrt{\cloze{64}} = 8
    • 9=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \sqrt{9} = \cloze{3}
  • 12
    Kürze so weit wie möglich!
    • 4224=74\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{24} = \frac{\cloze{7}}{\cloze{4}}
    • 2849=47\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{28}{49} = \frac{\cloze{4}}{\cloze{7}}
    • 824=13\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{24} = \frac{\cloze{1}}{\cloze{3}}
    • 4048=56\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{40}{48} = \frac{\cloze{5}}{\cloze{6}}
    • 981=19\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{9}{81} = \frac{\cloze{1}}{\cloze{9}}
    • 2427=89\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{24}{27} = \frac{\cloze{8}}{\cloze{9}}
    • 7049=107\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{70}{49} = \frac{\cloze{10}}{\cloze{7}}
    • 742=16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{42} = \frac{\cloze{1}}{\cloze{6}}
    • 2715=95\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{27}{15} = \frac{\cloze{9}}{\cloze{5}}
    13
    Kürze so weit wie möglich!
    • 3636=66\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{36}{36}=\cloze{ \frac{6}{6} }
    • 5436=64\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{54}{36}=\cloze{ \frac{6}{4} }
    • 1818=66\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{18}{18}=\cloze{ \frac{6}{6} }
    • 3632=98\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{36}{32}=\cloze{ \frac{9}{8} }
    • 4030=86\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{40}{30}=\cloze{ \frac{8}{6} }
    • 4048=56\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{40}{48}=\cloze{ \frac{5}{6} }
    14
    Kürze so weit wie möglich!
    • 615=25\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{6}{15} =\frac{\cloze{2}}{\cloze{5}}
    • 3048=58\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{30}{48} =\frac{\cloze{5}}{\cloze{8}}
    • 4015=83\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{40}{15} =\frac{\cloze{8}}{\cloze{3}}
    • 5649=87\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{56}{49} =\frac{\cloze{8}}{\cloze{7}}
    • 1218=23\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{12}{18} =\frac{\cloze{2}}{\cloze{3}}
    • 104=52\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{10}{4} =\frac{\cloze{5}}{\cloze{2}}
    15
    Addiere und Kürze so weit wie möglich!
    • 77+13=7371=217=31\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{7}+\frac{1}{3} =\cloze{\frac{7 ⋅ 3}{7 ⋅ 1}} =\cloze{\frac{21}{7}} =\cloze{\frac{3}{1}}
    • 34+410=31044=3016=158\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{3}{4}+\frac{4}{10} =\cloze{\frac{3 ⋅ 10}{4 ⋅ 4}} =\cloze{\frac{30}{16}} =\cloze{\frac{15}{8}}
    • 38+98=3889=2472=13\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{3}{8}+\frac{9}{8} =\cloze{\frac{3 ⋅ 8}{8 ⋅ 9}} =\cloze{\frac{24}{72}} =\cloze{\frac{1}{3}}
    • 36+72=3267=642=17\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{3}{6}+\frac{7}{2} =\cloze{\frac{3 ⋅ 2}{6 ⋅ 7}} =\cloze{\frac{6}{42}} =\cloze{\frac{1}{7}}
    16
    Addiere und Kürze so weit wie möglich!
    • 11+24=21\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{1}{1}+\frac{2}{4} =\cloze{\frac{2}{1}}
    • 94+44=94\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{9}{4}+\frac{4}{4} =\cloze{\frac{9}{4}}
    • 32+26=92\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{3}{2}+\frac{2}{6} =\cloze{\frac{9}{2}}
    • 48+65=512\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{4}{8}+\frac{6}{5} =\cloze{\frac{5}{12}}
  • 17
    Multipliziere und Kürze so weit wie möglich!
    • 3168=188=94\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{3}{1}⋅\frac{6}{8} =\cloze{\frac{18}{8}} =\cloze{\frac{9}{4}}
    • 4593=3615=125\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{4}{5}⋅\frac{9}{3} =\cloze{\frac{36}{15}} =\cloze{\frac{12}{5}}
    • 5744=2028=57\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{5}{7}⋅\frac{4}{4} =\cloze{\frac{20}{28}} =\cloze{\frac{5}{7}}
    • 6868=3664=916\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{6}{8}⋅\frac{6}{8} =\cloze{\frac{36}{64}} =\cloze{\frac{9}{16}}
    W=pG100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} W= \frac{p\cdot G}{100}
    G=W100p\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} G= \frac{W\cdot 100}{p}
    p=W100G\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} p= \frac{W\cdot 100}{G}
    18
    Berechne die Werte und runde auf 2 Dezimalstellen!
    • 1% von 20 =
    • 2% von 71 =
    • 5% von = 2,55
    • % von 25 = 0,50
    • % von 57 = 3,99
    • 3% von 55 =
    • 9% von = 6,84
    • % von 88 = 5,28
    19
    Berechne p und W!
    • 2% von 50 = 1
    • 9% von 100 = 9
    • 4% von 25 = 1
    • 10% von 10 = 1
    • 8% von 25 = 2
    • 3% von 100 = 3
    • 6% von 50 = 3
    • 1% von 100 = 1

    W hat keine Dezimal-stellen!

    20
    Schätze den Mehrwertsteuersatz!
    • % von 21 € = 3,99 €
    • % von 12 € = 0,84 €
    • % von 60 € = 11,40 €
    • % von 9 € = 0,63 €
    • % von 78 € = 14,82 €
    • % von 48 € = 9,12 €
    • % von 47 € = 3,29 €
    • % von 86 € = 6,20 €
  • 21
    Berechne den Brutto- oder Netto-Wert!
    • 19% von € = 3,23 €
    • 19% von € = 7,98 €
    • 19% von 53 € =
    • 19% von € = 15,77 €
    • 19% von € = 13,30 €
    • 19% von € = 10,83 €
    • 19% von € = 2,85 €
    • 19% von 24 € =
    22
    Berechne x!
    • 12+x=14x=14\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} 12 + x &= 14\\ x &= \cloze{14} \end{aligned}
    • 6+x=10x=11\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} 6 + x &= 10\\ x &= \cloze{11} \end{aligned}
    • 11+x=14x=14\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} 11 + x &= 14\\ x &= \cloze{14} \end{aligned}
    • 7+x=11x=13\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} 7 + x &= 11\\ x &= \cloze{13} \end{aligned}
    • 3+x=4x=16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} 3 + x &= 4\\ x &= \cloze{16} \end{aligned}
    • 13+x=16x=14\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} 13 + x &= 16\\ x &= \cloze{14} \end{aligned}

    =

    ist in jeder Teilaufgabe unter-einander.

    23
    Berechne x!
    • 8(x+3)2=16x=1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} \frac{8(x + 3)}{2} &=16\\ x &= \cloze{1} \end{aligned}
    • 4(x+7)10=3.6x=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \begin{aligned} \frac{4(x + 7)}{10} &=3.6\\ x &= \cloze{2} \end{aligned}

    Aufgaben-wiese Ein-reihung ist

    aktuell noch

    nicht möglich.

  • 24
    Berechne!
    • 2​a + 7​a - ​a = 4​a
    • 4​a + 9​a - ​a = 9​a
    • 8​a + 6​a - ​a = 8​a

    Achtung

    Hier werden sog. breitenlose Leerzeichen jeweils vor der Variablen verwendet (Leerzeichen, die man quasi nicht sieht, aber da sind):

    https://de.wikipedia.org/wiki/Breitenloses_Leerzeichen

    25
    Berechne!
    • 8 ​a + 8 ​a - ​a = 12 ​a
    • 6 ​a + 4 ​a - ​a = 4 ​a
    • 2 ​a + 3 ​a - ​a = 0 ​a

    Alternativ können Sie auch normale Leerzeichen verwenden. Alle folgenden Aufgaben haben breitenlose Leerzeichen.

    26
    Berechne!
    • ​a + 10​a - 5​a = 11​a
    • ​a + 7​a - 9​a = 5​a
    • ​a + 5​a - 2​a = 9​a
    • 4​a + ​a - 2​a = 4​a
    • 7​a + ​a - 9​a = 2​​a
    • ​a + 9​a - 10​a = 7​a
    • 5​a + ​a - 10​a = -1​a
    • ​a + 8​a - 9​a = 4​a
    • ​a + 9​a - 6​a = 4​a
    • ​a + 8​a - 3​a = 7​a
    • 5​a + ​a - 7​a = 7​a
    • 5​a + ​a - 3​a = 4​a
    • 2​a + ​a - 1​a = 6​​a
    • 7​a + ​a - 8​a = 2​​a
    • 6​a + ​a - 4​a = 3​​a
    27
    Berechne!
    • 2​a + 2​b ​a - ​b = 7​a + 4​b
    • 4​a + 3​b ​a - ​b = 6​a + 11​b
    • 7​a + 6​b ​a - ​b = 11​a + 12​b
    • 7​a + 4​b ​a - ​b = 12​a + 9​b
    • 2​a + 3​b ​a - ​b = 7​a + 9​b
    • 7​a + 1​b ​a - ​b = 16​a + 7​b
    28
    Berechne!
    • ​a + 4​b 8​a - ​b = 12​a + 8​b
    • 6​a + 9​b ​a - ​b = 10​a + 11​b
    • 2​a + 4​b ​a - ​b = 11​a + 5​b
    • ​a + 8​b 5​a - ​b = 10​a + 18​b
    • ​a + 7​b 10​a - ​b = 14​a + 8​b
    • 6​a + 6​b ​a - ​b = 11​a + 9​b