Page 155 - Start Up Mathematics_6

Thinking Skills

1. What are mixed fractions? If regular hexagon represents
one whole, find the mixed fraction representing the
combination given in figure.

2. What are equivalent fractions? Four-eighths of the circle
and one-half of the triangle shown in the given figure
are shaded. How are the two figures alike? How are they
different?
3. Refer to the given figure and represent each of the following
as a fraction.
(a) The letters inside the triangle as part of the given letters K L M
(A to P). A H

(b) The letters common to the circle and the triangle as B C E I
part of the given letters (A to P). D G F
O J
(c) The letters not in the triangle but inside the circle as N P
part of the given letters (A to P).

4. The following graph shows preferences of the students during breakfast in a hostel mess.
Based on the given data, answer the following:

(a) Whose number is greater, milk drinkers or coffee 1 1
drinkers and by what fraction? Milk 3 4 Coffee
(b) If the total number of students enrolled in the mess Juice 1 1 1 Mango shake
are 420, find the number of students who take tea. 6 6 Tea 12

(c) Find the total number of students who prefer either
juice or mango shake. Is it equal to coffee drinkers? Fraction of total

Values and Life Skills

1. Amit sleeps 8 hours a day. What fraction of the day is he awake? How much sleep is ideal
for a healthy body?

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2. Ranjana studied for hours, whereas her brother Roshan studied for hours on a particular
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day. Who studied for a shorter time? Do you help your brother or sister in studies?
3. Rama had ` 40, Sheenu had ` 100 and Jina had ` 100. In school canteen, Rama spent
` 20, Sheenu spent ` 25 and Jina spent ` 40. What fraction of their money did each spend?
Arrange the fraction of the expenditures in ascending order. Why should we keep a check
on our expenditures?
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4. Rohit read 30 pages of a book containing 100 pages. Simmi read of the same book. Who
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read more? How is reading a good habit?

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