Mensuration (length and area) (Chapter 9) 205
13 The second hand of a clock is 10 cm long. How far does the tip of the second hand travel in 20
seconds?
14 A square slice of bread has sides of length 10 cm. A semi-circular
piece of ham with diameter 10 cm is placed on the bread, and the
bread is cut in half diagonally as illustrated. Find the area of the
ham that is on:
a side A b side B of the bread.
15 Find the angle of a sector with area 30 cm^2 and radius 12 cm.
16
17 Find a formula for the areaAof the following regions:
abc
de f
10 cm
A
B
You may
need to use
Pythagoras’
theorem!
b
2 a
r
r
R
x
a
a
2 x
8mm
double ring
5 20
12
9
14
11
8
16
7
19 3 17
2
15
10
6
13
4
18
1
8mm
treble ring
80 mm 80 80 mmmm 60 mm
Brothers Jason and Neil go out for pizza. Jason chooses a rectangular piece of pizza measuring 10 cm
by 15 cm. Neil’s piece will be cut from a circular pizza with diameter 30 cm. Neil wants his piece to
be the same size as Jason’s. What angle should be made at the centre of the pizza?
18 Answer the questions of theOpening Problemon page 191.
19 A dartboard is divided into 20 equal sections numbered
from 1 to 20. Players throw darts at the board, and score
points given by the section number that the dart lands in.
If a dart lands in the outer double ring, the points value of
the throw is doubled. If a dart lands in the middle treble
ring, the points value of the throw is trebled. The central
bulls eye has a diameter of 32 mm, and is worth 25 points.
The red centre of the bulls eye has a diameter of 12 mm
and is worth 50 points.
a Find the circumference of the dartboard.
b Find the outer circumference of the “triple 9 ” section.
c Find the area in cm^2 , of the region of the dartboard
which results in a score of:
i 50 ii 25 iii 5
iv 14 v 12
IGCSE01
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Y:\HAESE\IGCSE01\IG01_09\205IGCSE01_09.CDR Monday, 13 October 2008 9:10:52 AM PETER