Student ID: ..Foundation Studies Level 1MAT001- MATHEMATICS I MODULE TEST 2 Duration: 1 hour1. In the pentagon the two angles labelled to are equal.104o91oto117otoNOT TO SCALE

Calculate the value of t

[3]2. In the diagram, the points A, B, C and D lie on a circle, centre O. Angle DOB = 124 and angle CDO = 36.CT is a the tangent at C.

Calculate,

(i) angle ODB,

[1]

(ii) angle DCB

[1]

(iii) angle DAB

[1]

(iv) angle BCTT

[1]

(v) angle CBO

[1]3. Find the value of s

[2]4. Find the angle a, b and c

[4]5. a) Calculate the sum of the interior angles of a 9 sided polygon.

[2]b) Find the size of each interior angles of a regular polygon with 15 sides

[3]6. a) Find the number of sides of a regular polygon with an interior angle of 1620

[2]b) Find the number of sides of a regular polygon with an exterior angle of 360

[2]7. A girl standing on a hill at A, overlooking a lake, can see a small boat at a point B on the lake. If the girl is at a height of 50m above B and at a horizontal distance of 120m away from B, calculate:(i) the angle of depression of the boat from the girl,

[2] (ii) the shortest distance between the girl and the boat.

[2]8. (a) Find the length of the diagonal of the base.

[2] (b) Find the length of the edge PA

[3]8. (a) In the space below, construct the triangle ABC with AB = 10 cm and AC = 12 cm. Leave in your construction arcs. The line BC is already drawn.

[2](b) Measure angle ABC. [1](c) Using a straight edge and compasses only, and leaving in your construction arcs, construct the perpendicular bisector of BC.[2]

(d) Using a straight edge and compasses only, and leaving in your construction arcs, construct the bisector of angle ABC.[2](e) Draw line CD which is 4 cm away from BC and parallel to BC[2]

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