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11. Four containers of different heights are arranged in the ascending order of their heights. If the height

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of the smallest container (I) given in the figure is expressed as of largest container (IV) = 13.2 cm.
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Find the height of the largest container.

IV
III
13.2 cm I II

12. The school organises a sports day, and a total of 120 students participate in various sports that are
running, long jump, high jump, and relay race. The sports committee distributed refreshments to
the participants based on the number of sports they participate in and each student gets a fraction
of a refreshment pack based on the number of sports they participate in. The Distribution Plan Case study
1 1 3
is as follows:1 sport: pack; 2 sports: pack; 3 sports: pack; all 4 sports: 1 pack. Based on
4 2 4
this answer the following questions:
(a) If 30 students participate in 1 event each, how many refreshment packs are needed for
them?
(b) If 40 students participate in 2 events each, how many refreshment packs are needed for
them?
(c) If 25 students participate in 3 events each, how many refreshment packs are needed for
them?
(d) If the remaining students participate in all 4 events, how many refreshment packs are
needed for them?

Brain Sizzlers

I am a decimal number with hundredths digit 4.
I have a digit at my tenths place two less than the digit at my thousandths place and 2 less than the hundredths
place digit. What decimal number I am?

A Pinch of History
Excavations at Harappa, Mohenjo-Daro and other sites of the Indus Valley civilization have
uncovered evidence of the use of "practical mathematics". They used a standardized system

, , , 1, 2, 5, 10, 20, 50, 100, 200,
of weights based on the fractions and whole numbers: 1 , 1 1 1
20 10 5 2
and 500, with the unit weight equaling approximately 28 grams (and approximately equal to
the English ounce or Greek uncia).
The inhabitants of Indus civilization also tried to standardize measurement of length to a
high degree of accuracy. They designed a ruler—the Mohenjo-Daro ruler—whose unit of
length (approximately 1.32 inches or 3.4 centimeters) was divided into ten equal parts. Bricks
manufactured in ancient Mohenjo-Daro often had dimensions that were integral multiples of
this unit of length.

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