# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 845 - 849 of 1040

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## Question number: 845

### Question

A man 6 feet tall casts a shadow 10 feet long. At the same time, a tree nearby casts a shadow 60 feet long. What is the height, in feet, of the tree?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 21 feet | |

b. | 36 feet | |

c. | 23 feet | |

d. | 25 feet |

## Question number: 846

### Question

Reema is on a road trip. She travels at an average rate of 30 miles per hour. How far does she travel in 2 hours?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 25 miles | |

b. | 20 miles | |

c. | 75 miles | |

d. | 50 miles |

## Question number: 847

### Question

Nirav has built a cubical water tank with lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. So, how many tiles are required for the tank?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 100 | |

b. | 160 | |

c. | 120 | |

d. | 180 |

## Question number: 848

### Question

Pratik bought some packages of pencils. He bought three packages containing 5 pencils and n packages containing 10 pencils each. Which one of the following expression could be used to find the total number of pencils that Pratik bought?

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. |
| |

d. | Question does not provide sufficient data or is vague |

## Question number: 849

### Question

A girl 5 feet casts a shadow 60 inches long. At the same time a telephone pole casts a 300 inches shadow. Which proportions cannot be used to find the height of the telephone pole?

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |