GEOMETRY – MATHEMATICS P6

REVISION QUESTIONS ON GEOMETRY

7. The exterior angle of a regular polygon is 40⁰.

(a)           How many sides does it have?

(b)           Work out its interior angle.

(c)           What is its interior angle sum?

8. How many lines of symmetry does each of these have.

N.B         Draw and show them

(a)           square    (b)           isosceles triangle

(c)           Equilateral triangle              (d)           kite

10. The interior angle of a regular polygon is thrice its exterior angle. Find its interior angle sum.
11. (i) Don faces NE and makes a clockwise turn to face SW. what is the          measure of his turn?

(ii)           Draw the shapes: cylinder                  (b)           cube

(c)           triangular prism

(iii)          Draw a net for each solid in (ii) above.

12. Construct triangle XYZ with a pair of compasses such that XY = 7 cm, Ð XYZ = 60⁰ and ZXY = 45⁰

(b)           Measure XZ          (c)           Ð XZY

14. What acute angle is between the hour and minute arm of a clock at 6: 15 pm
15. Use a pair of compasses to construct the following.

(a)           Rectangle TOPE where TP = 8cm, PO = 6cm and measure its   diagonal.

(b)           Regular hexagon of side 4.3 cm

16. Calculate the length of a rectangle whose width is 7cm and a diagonal of 25 cm.

(b)           Find  its  (i)            Area                       (ii)           perimeter

18. The interior angle of a regular polygon is 120 more the exterior

(a)           Calculate its exterior angle

(b)           Find its interior sun

(c)           How many sides has the polygon and name it.