# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 250 - 255 of 931

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## Question 250

### Question

MCQ▾A triangle and a trapezoid are equal in area. They also have the same altitudes. If the base of the triangle is 18 inches, the mean of the parallel sides of the trapezoid is ________

### Choices

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

a. | 18 inches | |

b. | 9 inches | |

c. | Not obtained from this data | |

d. | 36 inches |

## Question 251

### Question

MCQ▾The area of an isosceles triangle having base 32 cm and one side 20 cm is________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 252

### Question

MCQ▾A circular park of 20 metre diameter has a circular path just inside the boundary of width 1 metre. The area of path is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 253

### Question

MCQ▾What is the point of concurrency of the perpendicular bisectors in a triangle called ________.

### Choices

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

a. | Centroid | |

b. | Incentre | |

c. | Orthocentre | |

d. | Circumcentre |

## Question 254

### Question

MCQ▾A covered wooden box has the inner measures as 115 cm, 75 cm, 35 cm and the thickness of wood is 2.5 cm. Then the volume of the wood is________

### Choices

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

a. | 80,000 cu. Cm | |

b. | 82,125 cu. Cm | |

c. | 85,000 cu. Cm | |

d. | 84,000 cu. Cm |

## Question 255

### Question

MCQ▾A triangle and a parallelogram are equal in area. They also have the same altitude. If the base of the triangle is 22 inches, the area of the trapezoid is ________.

### Choices

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

a. | 19 inches | |

b. | 11 inches | |

c. | Not obtainable from these data | |

d. | 2 inches |