1 EGIGS| HOLIDAY HOMEWORK| GRADE 10 CIE

HOLIDAY HOMEWORK SUMMER BREAK 2018-19 CLASS X CIE SUBJECT : MATHEMATICS

INVESTIGATORY PROJECT

Trigonometry

Measuring height of a building by trigonometry. Four buildings of different heights to be considered.

Record the distance from the building you want to calculate the height to where you are standing.

Steps next to be mentioned. Use trigonometry to find the height.

Volume

A rectangular piece of paper has a fixed perimeter of 40cm. It could be for example, 7cm×13cm.

This paper can make a hollow cylinder of height of 7cm or of height 13cm. Use another piece of paper of dimensions of your choice and repeat the

previous step. Work out the volume of each cylinder using the formula.

Compare the volumes of each and present your observation

2 EGIGS| HOLIDAY HOMEWORK| GRADE 10 CIE

Bearings

Marking criteria:

1. Cover page and overall presentation 2. Accuracy

This project is to demonstrate the use of trigonometric bearings to find accurate directions on map. Please follow the instructions. You must file must contain:

1. Cover page 2. Index 3. Each page of this file with the instructed work. 4. Any other sheet you might need to show your working. 5. List of mathematical tools used.

COMPASS BEARINGS

All bearings are measured:

- Clockwise - From north - In three figures

Complete the compass rose below with the correct bearings. Two have been done for your assistance. Print and attach the direction sheet in your project file.

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ALGEBRA

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GEOMETRY AND COORDINATE GEOMETRY

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MENSURATION AND TRIGONOMETRY

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MATRICES AND TRANSFORMATIONS

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NUMBERS

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