1. | Divide one thousand and six million thirty thousand and seven by three hundred and eight in three factors. Explain the method of finding the correct remainder. |

2. | Multiply 16 tons 13 cwt. 1 qr. 6 lbs. by 86. |

3. | If £47 14s. 8d. be divided among 9 men and 5 boys, giving each man three times as much as a boy, what is the share of each? |

4. | Find, by Practice, the value of 24ac. 3ro. 16po. at £2 11s. 10d. per acre. |

5. | Simplify 1/3 of 2 3/5 of |

6. | Find the value of 2/3 of 4/5 of 11s. 3d.; and express this value as the fraction of 2/11 of half-a-guinea. |

7. | Explain the method of converting a vulgar fraction into a decimal one. If the denomination of a fraction is 16, and the numerator an odd number, shew why the equivalent decimal terminates in four places. Divide ·03091 by 14·05, and 1·18 by ·014. |

8. | If the carriage of 21·97 tons for 6·86 miles cost £7 17s. 6d., what weight will be carried 21·56 miles for £9 18s.? |

9. | Extract the square root of ·7 to five places of decimals. |

10. | If a cubic foot of water weighs 1000 oz., and a gallon of water weighs 10 lbs., find to what depth a rectangular cistern, 16 ft. 6 in. long and 8 ft. 4 in. broad, is filled when it contains 13,750 gallons. |

11. | If £2320 amounts in 7 months to £2421 10s., find the rate per cent, per annum. |

12. | If a cubic yard of water weighs¾ ton, and a cubic metre of water weighs 1000 kilogrammes, express the value of a kilogramme in lbs. [1 metre = 39·27 inches.] |