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

Beispiele für den Baustein Rechenaufgabe 101

1
Fülle die Lücken!
  • 9 + 19 = 28
  • 4 + 18 = 22
  • 2 + 20 = 22
  • 7 + 17 = 24
  • 1 + 13 = 14
  • 7 + 10 = 17
  • 4 + 13 = 17
  • 3 + 14 = 17
  • 5 + 15 = 20
2
Fülle die Lücken! (Zahlen 1-100)
  • 117 - 78 = 39
  • 37 - 16 = 21
  • 126 - 33 = 93
  • 29 - 9 = 20
  • 79 - 33 = 46
  • 182 - 92 = 90
  • 96 - 27 = 69
  • 101 - 88 = 13
  • 96 - 61 = 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 - 55 = 9
  • 8 - 4 = 4
  • 42 - 24 = 18
  • 18 - 3 = 15
  • 50 - 41 = 9
  • 22 - 16 = 6
  • 51 - 24 = 27
  • 44 - 36 = 8
  • 28 - 8 = 20
5
Fülle die Lücken! (Dezimalstellen)
  • 15,96 - 8,369 = 7,596
  • 7,00 - 5,930 = 1,075
  • 5,17 - 2,848 = 2,323
  • 6,91 - 1,219 = 5,687
  • 4,95 - 1,841 = 3,113
  • 11,49 - 3,471 = 8,015
tutory
6
Multipliziere!
  • 6,94 ⋅ 2,88 = 19,9872
  • 5,73 ⋅ 6,04 = 34,6092
  • 5,32 ⋅ 5,91 = 31,4412
  • 8,39 ⋅ 5,79 = 48,5781
  • 2,09 ⋅ 1,77 = 3,6993
  • 5,98 ⋅ 1,05 = 6,2790
7
Multipliziere und runde!
  • 6,80 € ⋅ 5,92 = 40,26
  • 7,76 € ⋅ 9,49 = 73,64
  • 5,80 € ⋅ 9,59 = 48,72
  • 7,84 € ⋅ 6,92 = 54,25
  • 7,39 € ⋅ 8,56 = 63,26
  • 1,90 € ⋅ 2,24 = 2,44
8
Dividiere!
  • 27 : 9 = 3
  • 16 : 8 = 2
  • 72 : 9 = 8
  • 27 : 3 = 9
  • 16 : 2 = 8
  • 10 : 5 = 2
9
Dividiere! (ACHTUNG FEHLER!)
  • 5 : 4 = 1,25
  • 4 : 8 = 0,50
  • 8 : 4 = 2,00
  • 4 : 5 = 0,80
  • 3 : 3 = 1,00
  • 7 : 7 = 1,00
10
Berechne!
  • 122=144\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 12^2 = \cloze{144}
  • 102=100\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 10^2 = \cloze{100}
  • 82=64\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 8^2 = \cloze{64}
  • 122=144\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{12}^2 = 144
  • 72=49\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{7}^2 = 49
  • 102=100\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{10}^2 = 100
11
Berechne!
  • 64=8\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \sqrt{64} = \cloze{8}
  • 36=6\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \sqrt{\cloze{36}} = 6
  • 16=4\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \sqrt{16} = \cloze{4}
  • 1=1\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \sqrt{\cloze{1}} = 1
  • 64=8\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \sqrt{\cloze{64}} = 8
  • 9=3\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \sqrt{9} = \cloze{3}
tutory
12
Kürze so weit wie möglich!
  • 4224=74\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{24} = \frac{\cloze{7}}{\cloze{4}}
  • 2849=47\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{28}{49} = \frac{\cloze{4}}{\cloze{7}}
  • 824=13\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{8}{24} = \frac{\cloze{1}}{\cloze{3}}
  • 4048=56\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{40}{48} = \frac{\cloze{5}}{\cloze{6}}
  • 981=19\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{9}{81} = \frac{\cloze{1}}{\cloze{9}}
  • 2427=89\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{24}{27} = \frac{\cloze{8}}{\cloze{9}}
  • 7049=107\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{70}{49} = \frac{\cloze{10}}{\cloze{7}}
  • 742=16\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{7}{42} = \frac{\cloze{1}}{\cloze{6}}
  • 2715=95\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{27}{15} = \frac{\cloze{9}}{\cloze{5}}
13
Kürze so weit wie möglich!
  • 3636=66\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{36}{36}=\cloze{ \frac{6}{6} }
  • 5436=64\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{54}{36}=\cloze{ \frac{6}{4} }
  • 1818=66\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{18}{18}=\cloze{ \frac{6}{6} }
  • 3632=98\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{36}{32}=\cloze{ \frac{9}{8} }
  • 4030=86\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{40}{30}=\cloze{ \frac{8}{6} }
  • 4048=56\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{40}{48}=\cloze{ \frac{5}{6} }
14
Kürze so weit wie möglich!
  • 615=25\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{6}{15} =\frac{\cloze{2}}{\cloze{5}}
  • 3048=58\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{30}{48} =\frac{\cloze{5}}{\cloze{8}}
  • 4015=83\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{40}{15} =\frac{\cloze{8}}{\cloze{3}}
  • 5649=87\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{56}{49} =\frac{\cloze{8}}{\cloze{7}}
  • 1218=23\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{12}{18} =\frac{\cloze{2}}{\cloze{3}}
  • 104=52\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{1}+\frac{2}{4} =\cloze{\frac{2}{1}}
  • 94+44=94\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{9}{4}+\frac{4}{4} =\cloze{\frac{9}{4}}
  • 32+26=92\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{3}{2}+\frac{2}{6} =\cloze{\frac{9}{2}}
  • 48+65=512\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{8}+\frac{6}{5} =\cloze{\frac{5}{12}}
tutory
17
Multipliziere und Kürze so weit wie möglich!
  • 3168=188=94\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{3}{1}⋅\frac{6}{8} =\cloze{\frac{18}{8}} =\cloze{\frac{9}{4}}
  • 4593=3615=125\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{5}⋅\frac{9}{3} =\cloze{\frac{36}{15}} =\cloze{\frac{12}{5}}
  • 5744=2028=57\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{5}{7}⋅\frac{4}{4} =\cloze{\frac{20}{28}} =\cloze{\frac{5}{7}}
  • 6868=3664=916\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{6}{8}⋅\frac{6}{8} =\cloze{\frac{36}{64}} =\cloze{\frac{9}{16}}
W=pG100\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} W= \frac{p\cdot G}{100}
G=W100p\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} G= \frac{W\cdot 100}{p}
p=W100G\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} p= \frac{W\cdot 100}{G}
18
Berechne die Werte und runde auf 2 Dezimalstellen!
  • 1% von 20 = 0,20
  • 2% von 71 = 1,42
  • 5% von 51 = 2,55
  • 2% von 25 = 0,50
  • 7% von 57 = 3,99
  • 3% von 55 = 1,65
  • 9% von 76 = 6,84
  • 6% 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!
  • 19% von 21 € = 3,99 €
  • 7% von 12 € = 0,84 €
  • 19% von 60 € = 11,40 €
  • 7% von 9 € = 0,63 €
  • 19% von 78 € = 14,82 €
  • 19% von 48 € = 9,12 €
  • 7% von 47 € = 3,29 €
  • 7% von 86 € = 6,20 €
tutory
21
Berechne den Brutto- oder Netto-Wert!
  • 19% von 17 € = 3,23 €
  • 19% von 42 € = 7,98 €
  • 19% von 53 € = 10,70
  • 19% von 83 € = 15,77 €
  • 19% von 70 € = 13,30 €
  • 19% von 57 € = 10,83 €
  • 19% von 15 € = 2,85 €
  • 19% von 24 € = 4,56
22
Berechne x!
  • 12+x=14x=14\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \begin{aligned} 12 + x &= 14\\ x &= \cloze{14} \end{aligned}
  • 6+x=10x=11\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \begin{aligned} 6 + x &= 10\\ x &= \cloze{11} \end{aligned}
  • 11+x=14x=14\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \begin{aligned} 11 + x &= 14\\ x &= \cloze{14} \end{aligned}
  • 7+x=11x=13\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \begin{aligned} 7 + x &= 11\\ x &= \cloze{13} \end{aligned}
  • 3+x=4x=16\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \begin{aligned} 3 + x &= 4\\ x &= \cloze{16} \end{aligned}
  • 13+x=16x=14\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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.

tutory
24
Berechne!
  • 2​a + 7​a - 5​a = 4​a
  • 4​a + 9​a - 4​a = 9​a
  • 8​a + 6​a - 6​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 - 4 ​a = 12 ​a
  • 6 ​a + 4 ​a - 6 ​a = 4 ​a
  • 2 ​a + 3 ​a - 5 ​a = 0 ​a

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

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