HOMEWORK 6
Q1. a. The pentagon has three angles which are each 1400.
The other two interior angles are equal. Calculate the size of one of these angles.
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b. Five angles of a hexagon are each 1150. Calculate the size of the sixth angle.
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c. Show that each interior of a regular pentagon is 1080.
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d. A regular polygon has an interior angle of 1720. Find the number of sides of this
polygon.
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e. The diagram shows two of the exterior angles of a regular polygon with n sides.
Find n.
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Q2, A field, ABC, is in the shape of a triangle.
AC = 500m and BC = 650m.
a. Using a ruler and compasses only, complete the scale drawing of the field ABC.
Leave in your construction arcs.
Use a scale of 1 cm to represent 100m.
The side AB has been drawn for you.
Measure angle BAC.
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Q3. a. Find the value of x and y. Show all working
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b. In the quadrilateral PQRS, PQ = QS = QR.
PS is parallel to QR and angle QRS = 700
Calculate:
(a) angle RQS
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(b) angle PQS
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Q4. a. Write 21.2 % as decimal
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b. Work out $1.20 as a percentage of $16
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c . A concert hall has 1540 seats. Calculate the number of people in the hall when
55% of the seats are occupied.
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d . Shona buys a chair in a sale for $435.60 . This is a reduction of 12% on the
original price. Calculate the original price of the chair.
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e . Amir buys a camera for $250 and sells it for $200.
Calculate his percentage loss.
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f. Taxi fares cost 30 % more at night.
How much does a $9 daytime journey cost at night?
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