Page 32 - Start Up Mathematics_6

Thinking Skills

1. Write the greatest four-digit number using 2 different digits.
2. The place value of which digit is always equal to its face value irrespective of its position?

3. Find the difference between the greatest and the smallest numbers each of which on rounding
off gives 5,400.
4. After some decades, India’s population according to a survey will be 1,329,854,134. Write
this number in words according to:
(a) International system of numeration (b) Indian system

Values and Life Skills

1. A multinational company imported 78,000 cars in the year 2004–05; 81,347 cars in the year
2005–06 and 90,189 cars in the year 2006–07. How many cars in all were imported during
the period of three years? How is the concept of carpooling beneficial for environment?
2. A tank holds 1,000 L of water. If the capacity of a bucket is 12 L 600 mL, find the maximum
number of buckets that can be filled by the water tank. Why is the conservation of water
important?
3. The population of a city in the year 2002 was 2,45,67,890. In the year 2007, population rose to
2,45,69,923. What was the increase in population? Why is the growth of population growing
at a large rate harmful for our environment?

Some NCERT Textbook Questions

1. A book exhibition was held for four days in a school. The number of tickets sold at the counter
on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the
total number of tickets sold on all the four days.

2. Shekhar is a famous cricket player. He has so far scored 6980 runs in text matches. He wishes
to complete, 10,000 runs. How many more runs does he need?
3. Kirti bookstore sold books worth ` 2,85,891 in the first week of June and books worth
` 4,00,768 in the second week of the month. How much was the sale for the two weeks
together? In which week was the sale greater and by how much?

4. A merchant had ` 78,592 with her. She placed an order for purchasing 40 radio sets at ` 1200
each. How much money will remain with her after the purchase?

5. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer
greater than the correct answer? (Hint: Do you need to do both the multiplication?)
6. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can
be filled?
7. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate
(by rounding off to nearest tens):

(a) 439 + 334 + 4,317 (b) 1,08,734 – 47,599

(c) 8325 – 491 (d) 4,89,348 – 48,365

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