1 / 4 Solution CLASS 6 MATHEMATICS WORKSHEET ( KNOWING

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Solution

CLASS 6 MATHEMATICS WORKSHEET ( KNOWING OUR NUMBERS)

Class 06 - Mathematics

Section A

(b) 3000

Explanation: Total number of sheets of paper available for making notebooks = 75,000

Total number of sheets needed for one notebook = = 25

Number of notebooks can be made from the paper available = = 3,000

(d) 9741, 1479

Explanation: The greatest number is 9741. Rearrange the digits in descending order.

The smallest number is 1479. Rearrange the digits in ascending order.

3. (a) 7,452,283

(d) 90500041

Explanation: 9,05,00,041

Explanation: The greatest number is 8742. Rearrange the digits in decreasing order.

The smallest number is 2478. Rearrange the digits in ascending order.

(b) 5430, 3045

Explanation: The greatest number is 5430. Rearrange the digits in descending order.

The smallest number is 3045. Rearrange the digits in ascending order. (If there is 0 among the given digits, it is not written at

the extreme left)

Explanation: 1,00,00,000 = 1 crore

(b) 999999

Explanation: Sum of 765432 and reverse of this number 234567 i.e, 765432 + 234567 = 999999

Explanation: Weight of apples = 2000kgs

Weight of Oranges = 340kgs

Weight of grapes = 20 kgs

Weight of fruits = Total number of 2000 + 340 + 20 = 2360kgs

10.

(d) 99

Explanation: 100 - 1 = 99

Section B

1. 11. 10

1. 12. 422000

1. 13. Ten

14. (a) True

Explanation: True

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15. (a) True

Explanation: True

16.

(b) False

Explanation: false.

Among kilo, milli, and centi, the smallest one is milli

17.

(b) Both A and R are true but R is not the correct explanation of A.

Explanation: Given (A) is true because of the given number in the International System of Numeration. But (R) is also true

but it's not a correct explanation of given (A).

18.

(b) Both A and R are true but R is not the correct explanation of A.

Explanation: Both Assertions (A) and (R) are true but R is not a correct explanation of A.

19.

(b) Both A and R are true but R is not the correct explanation of A.

Explanation: 1 kg is equal to 1000 grams. So (A) is true.

1 g = 1000 mg. So (A) is true.

20.

(d) A is false but R is true.

Explanation: 267 is less than 276.So, A is false And reason (R) is true.

Section C

21. Greatest number that can be written using the digits 6, 2, 7, 4, 3 each only once = 76,432.

Least number that can be written using the digits 6, 2, 7, 4, 3 each only once = 23,467.

∴ Difference between the greatest and least numbers that can be written using the digits 6, 2, 7, 4, 3 each only once

= 76,432 – 23,467 = 52,965.

22. Number of shirts produced by the factory = 216315

Number of trousers produced by the factory = 182736

Number of jackets produced by the factory = 58704

Total production of the factory = 216315 + 182736 + 58704 = 457755.

23. Number of tickets sold on the first day = 1094

Number of tickets sold on the second day = 1812

Number of tickets sold on the third day = 2050

Number of tickets sold on the final day = 2751

Total number of tickets sold on all the four days = 1094 + 1812 + 2050 + 2751 = 7707

24. Votes registered by the successful candidate = 5,77,500

Votes secured by the nearest rival = 3,48,700

Margin by which the successful candidate won the election

= 5,77,500 – 3,48,700 = 2,28,800

25. Total distance= 290 km

Total time taken hours= 4.5 hours

Speed km/hour

26. Weight of 1 tablet = 0.25 gm

We know 1 month = 30 days

So, 3 months days = 90 days

i.e. the bottle contains 90 tablets

Total weight of 90 tablets = 90 weight of 1 tablet = 90 0.25gm = 22.50 gm

a. 27. Commas are placed after last 3 digit then after two digit so it is Indian system.

b. Commas are placed each after three digit so it is International system.

28. Sale of books in the first week = Rs.2,85,891.

Sale of books in the second week = Rs.4,00,768

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Sale for the two weeks together = Rs.2,85,891 + Rs.4,00,768 = Rs.6,86,659.

The sale was greater in the second week by Rs. 4,00,768 – Rs.2,85,891 i.e., by Rs.1,14,877.

29. Money which the merchant had = Rs.78,592

Cost of 40 radio sets at Rs.1200 each = Rs.1200 × 40 = Rs.48,000

∴ Money that will remain with the merchant after the purchase = Rs. 78,592 – Rs.48,000 = Rs.30,592.

30. The population of Tripura = 3,199,203 i.e., Three million one hundred ninety-nine thousand two hundred three.

And the population of Meghalaya = 2,318,822, i.e., Two million three hundred eighteen thousand eight hundred twenty-two.

Section D

31. (i) The smallest number is 475320.

(ii) The greatest number is 97645310.

(iii) The numbers arranged in ascending order are as follows :

475320, 9847215, 30458094, 97645310.

The numbers arranged in descending order are as follows :

97645310, 30458094, 9847215, 475320.

32. The given numbers in descending order are :

85400, 7861, 7500, 5000

(b) The given numbers in descending order are :

92547, 88715, 45321, 1971.

33. (i) 95432 is the smallest number.

(ii) 70002509 is the greatest number.

(iii) Arranged in ascending order, these numbers are as follows :

95432, 527864, 18950049, 70002509.

Arranged in descending order, these numbers are as follows :

70002509, 18950049, 527864, 95432.

34. 201 to 209 = 9 times and 210 to 290 = 9 times i.e. total 18 times

a. 35. 12,345

b. 67,834,123

Section E

36. The standard unit of length is metre.

Units of length are- millimetre (mm), centimetre (cm), metre (m), and Kilometre (km)

1 cm = 10 mm and 1 mm

1 m = 100 cm = 1000 mm and 1 cm m

1 km = 1000 m and 1 m

37. 4kg 500g = 4kg + 500g = 4 1,000g + 500g

= 4,000g + 500g = 4,500g

800kg = 800 1,000g = 8,00,000g.

Weight the van can carry = 8,00,000g

Weight of one box = 4,500g

No. of boxes that can be loaded = 8,00,000g 4,500g

Hence, 177 such boxes can be loaded.

38. Total No. of pages in 9 notebook A = 9 192 = 1728 pages

Total no. of pages in 5 notebook B= 5 100 = 500 pages

Total no. pages used by class = 1728 + 500 = 2228 pages

Section F

39. Read the text carefully and answer the questions:

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Geeta is trying to understand shifting digits with four tiles on which number 1, 2, 3, 4 is written.

40. Read the text carefully and answer the questions:

Sohan and Rita went to buy an almirah. There were many almirahs available with their price tags.

1. 1234(i)

(a) 4321

Explanation: 4321

(ii)

(a) 1234

Explanation: 1234

(iii)

(b) 4123

Explanation: 4123

(iv)

(b) False

Explanation: False

(v)

1. 1788(i)

Explanation: ₹ 1897

(ii)

(a) ₹ 1788, ₹ 1897, ₹ 2635, ₹ 2854, ₹ 3975

Explanation: ₹ 1788, ₹ 1897, ₹ 2635, ₹ 2854, ₹ 3975

(iii)

(a) ₹ 3975, ₹ 2854, ₹ 2635, ₹ 1897, ₹ 1788

Explanation: ₹ 3975, ₹ 2854, ₹ 2635, ₹ 1897, ₹ 1788

(iv)

(a) True

Explanation: True

(v)