Solve the following word problems:Name: Date:

Question 1: Rectangle A has a perimeter of 42cm. Rectangle B has a perimeter of 24cm with 2 times the length and one third the width of rectangle A. Calculate the area of each rectangle. |

Question 2: The mean of two numbers is 57 and the difference is 32. Calculate the product of the two numbers. |

Question 3: The sum of ages of a mother and her daughter is 43. In 1 years time, the mother will be 8 times older than the daughter. How old is each person at present? |

Question 4: A taxi firm charges a fixed amount per journey plus a cost for each mile travelled. A journey of 8 miles costs £40.40. A journey of 3 miles costs £16.90. How much would a journey of 2 miles cost? |

Question 5: 2 rulers and 3 erasers cost £0.98 altogether. The total cost of 9 rulers and 5 erasers is £2.71. Calculate the cost of a ruler and an eraser. |

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# Answers

Question 1: Rectangle A has an area of 54cm ^{2} and rectangle B has an area of 36cm ^{2} |

Question 2: The product of the two numbers is 2993 |

Question 3: The mother is 39 and the daughter is 4. |

Question 4: A journey of 2 miles costs £12.20 |

Question 5: A ruler costs 19p and a eraser costs 20p |

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