# Maths Misconceptions

## Marking a question right or wrong isn't enough. Can you decide what mistake a student has made?

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20 questions

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What mistake was made with the following equation? x⁴=x+x+x+x | Does not understand the meaning of exponents |

What mistake was made with the following equation?<br> 2(x+3)=2x+3 | Does not understand the distributive property |

What mistake was made with the following equation? 4 + (3 + 2) = 7 + 6 | Does not understand commutativity |

What mistake was made with the following equation? 3 + 3 × 5 = 6 × 5 | Did not follow the order of operations |

What mistake was made with the following equation? 3(x - 6) + 5 = 3 x -3 | Did not distribute properly |

What mistake was made with the following equation? (x-2)(x-2) = x2-4 | Did not distribute properly |

What mistake was made with the following equation? (x-2)(x+2) = x2-4x-4 | Did not distribute properly |

What mistake was made with the following equation? 1/2 × (2x - 8) = 4 x - 16 | Mixed up half and double |

What mistake was made with the following equation? -6(x - 8) = -x - 48 | Did not distribute properly |

What mistake was made with the following equation? x⁴=4x | Does not understand the meaning of exponents |

What mistake was made with the following equation? -8 + 15 = -23 | Did not know the effect of adding a positive integer |

What mistake was made with the following equation? -8 * (-9) = -72 | Misunderstood the multiplication pattern |

What mistake was made with the following equation? 13 - 45 = 32 | Did not know how to represent a negative difference |

What mistake was made with the following equation? 2.6 + 4.07=6.13 | Did not use the places properly |

What mistake was made with the following equation? 4 - (-7) = -3 | Did not subtract a negative number properly |

What mistake was made with the following equation? 2/3 ÷ 1/4 = 2/12 | Mixed up multiplying and dividing fractions |

What mistake was made with the following equation? 1/2 of 46 is 92 | Mixed up half and double |

What mistake was made with the following equation? 9 + 5 = 13 | Started counting at 9 |

What mistake was made with the following equation? 10 + 7 = 3 | Subtracted by mistake |

What mistake was made with the following equation? 5 × 4 = 25 | Miscounted number of groups |