# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 315 - 320 of 1040

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## Question number: 315

» Quadrilaterals and Practical Geometry

### Question

Four angles of a quadrilateral are in the ratio 3: 6: 9: 12. The smallest angle is________.

### Choices

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

a. | 20 | |

b. | 10 | |

c. | 36 | |

d. | 50 |

## Question number: 316

» Quadrilaterals and Practical Geometry

### Question

Match the following.

List-Ⅰ (List of Geomertic Shapes) | List-Ⅱ (Characteristic of Shapes) |
---|---|

(A) Trapezoid | (i) Diagonals are perpendicular |

(B) Rhombus | (ii) Diagonals bisect each other |

(C) Parallelogram | (iii) Diagonals are congruent |

### Choices

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

- (A)
- (B)
- (C)
| ||

a. | - (ii)
- (iii)
- (i)
| |

b. | - (iii)
- (i)
- (ii)
| |

c. | - (ii)
- (i)
- (iii)
| |

d. | All of the above |

## Question number: 317

### Question

30 % of 140 = x% of 420, then the value of x is________.

### Choices

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

a. | 10 | |

b. | 30 | |

c. | 2 | |

d. | 5 |

## Question number: 318

» Quadrilaterals and Practical Geometry

### Question

ABCD is rhombus and P is the point where its two diagonals meet, then if , then is________.

### Choices

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

a. | 120 | |

b. | 50 | |

c. | 40 | |

d. | 30 |

## Question number: 319

### Question

30 % of 300 = x% of 150, then the value of x is________.

### Choices

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

a. | 50 | |

b. | 30 | |

c. | 60 | |

d. | 10 |

## Question number: 320

» Quadrilaterals and Practical Geometry

### Question

Given below steps of construct a quadrilateral PQRS where PQ = 5.0 cm, QR = 3.0 cm, RS = 4.2 cm, SP = 3.3 cm and which of the following is a wrong step?

(P) Step 1: Draw PQ = 5.0 cm and construct

(Q) Step 2: With P as center and radius SP = 3.3 cm, cut off SP = 3.3 cm along PX.

(R) Step 3: Join. With S as center and radius RS = 4.2 cm, draw an arc.

(S) Step 4: With Q as center and radius QR = 3.0 cm, draw an arc to cut the arc drawn in above step at R. Join QR, RS to obtain the required quadrilateral PQRS.

### Choices

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

a. | R | |

b. | p | |

c. | S | |

d. | Q |