Source: Complete International Mathematics For Cambridge IGCSE - David Rayner, Jim Fenson
1. | A 4 m ladder rests against a vertical wall with its foot 2m from the wall. How far up the wall does the ladder reach? | |
2. | A chord of length 9 cm is 4.2 cm from the center of the circle. What is the radius of the circle? | |
3. | The diagram contains two semicircles. Calculate the shaded area, given that the diameter of the larger semicircle is 12 cm. | |
4. | Find the length of a diagonal of a rectangular box of length 12 cm, width 5 cm and height 4 cm. | |
5. | A cone has base radius 5 cm and slant height 11 cm. Find its vertical height. | |
6. | A thin wire of length 18 cm is bent into the shape shown. Calculate the length from A to B. | |
7. | An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If the aircraft is 4000 m above the ground, how far is it from the control tower. | |
8. | A ladder reaches H when held vertically against a wall. When the base is 6 feet from the wall, the top of the ladder is 2 feet lower than H. How long is the ladder? |