27) i) Verify the following -:
−
× (
−
+
−
) = (
−
×
−
) + (
−
×
−
) [2 M ]
ii) Name the property of multiplication illustrated in the following mathematical statement
−
× =
−
[1 M ]
28) Construct a quadrilateral ABCD where AB = 3.5 cm , BC = 2.5 cm , DC = 4.1 cm , B =
120 and C = 75
29) Raghu cycles to his school at an average speed of 12 km/hr. It takes him 20 minutes to reach
the school. If he wants to reach the school in 15 minutes what should be his average speed?
30) The scale of a map is 1 : 3x
. Two cities are shown 5 cm apart on the
map. Find the actual distance between the cities in kilometers.
OR
A garrison of 900 men had provisions for 42 days. However, a reinforcement of 500 men
arrived. For how many days will the food last now?
31) ( a )The product of two numbers is −
. If one of the number is −
, [ 2 M]
find the other number.
(b ) Represent −
on the number line. [1 M]
32) The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. Find its breadth.
33) The following table shows the expenditure in percentage incurred on the construction of a
house in a city:
Item Brick Cement Steel Labour Miscellaneous
Expenditure in
%
15% 20% 10% 25% 30%
Represent the above data by a pie chart
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