Now that you have solved the whole number of chapters of the NCERT book, it is time to solve some extra questions. Presenting a worksheet with 28 questions, which have questions based on the NCERT chapter and some challenging questions. Do not worry if you are not able to solve a few. They are intentionally given to challenge a few. Let’s check out the questions.
Worksheets for Class 6 Maths Whole Numbers Chapter 2
1. Write the next three natural numbers after 10999.
Solution:
The next three natural numbers after 10999 are 11000, 11001, and 11002.
2. Write the three whole numbers occurring just before 10001.
Solution:
The three whole numbers just before 10001 are 10000, 9999, and 9998.
3. Which is the smallest whole number?
Solution:
The smallest whole number is 0.
4. How many whole numbers are there between 32 and 53?
Solution:
There are 20 whole numbers between 32 and 53. (Note: We do not count the numbers 32 and 53 themselves.)
5. Write the successor of:
(a) 2440701 (b) 100199 (c) 1099999 (d) 2345670
Solution:
(a) The successor of 2440701 is 2440702.
(b) The successor of 100199 is 100200.
(c) The successor of 1099999 is 1100000.
(d) The successor of 2345670 is 2345671.
6. Write the predecessor of:
(a) 94 (b) 10000 (c) 208090 (d) 7654321
Solution:
(a) The predecessor of 94 is 93.
(b) The predecessor of 10000 is 9999.
(c) The predecessor of 208090 is 208089.
(d) The predecessor of 7654321 is 7654320.
7. In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (> or <) between them.
(a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 9830415, 10023001
Solution:
(a) 530 > 503
(b) 370 > 307
(c) 98765 > 56789
(d) 9830415 < 10023001
8. Which of the following statements are true (T) and which are false (F)?
(a) Zero is the smallest natural number.
(b) 400 is the predecessor of 399.
(c) Zero is the smallest whole number.
(d) 600 is the successor of 599.
(e) All natural numbers are whole numbers.
(f) All whole numbers are natural numbers.
(g) The predecessor of a two digit number is never a single digit number.
(h) 1 is the smallest whole number.
(i) The natural number 1 has no predecessor.
(j) The whole number 1 has no predecessor.
(k) The whole number 13 lies between 11 and 12.
(l) The whole number 0 has no predecessor.
(m) The successor of a two digit number is always a two digit number.
Solution:
(a) False
(b) False (399 is the predecessor of 400)
(c) True
(d) True
(e) True
(f) False
(g) False
(h) False (The smallest whole number is 0)
(i) True
(j) False
(k) False
(l) True
(m) False
9. If the sum of three consecutive whole numbers is 60, what are these numbers?
Solution:
Let the three consecutive whole numbers be x, x+1, and x+2.
Their sum is x + (x+1) + (x+2) = 60.
Simplifying this, 3x + 3 = 60, so 3x = 57, and x = 19. Therefore, the numbers are 19, 20, and 21.
10. Multiply the largest two-digit number by the smallest whole number. What is the product?
Solution:
The largest two-digit number is 99, and the smallest whole number is 0.
So, 99 multiplied by 0 equals 0.
11. Subtract the smallest natural number from the largest three-digit number. What is the result?
Solution:
The largest three-digit number is 999, and the smallest natural number is 1.
So, 999 minus 1 equals 998.
12. If you add the successor of 999 to the predecessor of 1001, what is the sum?
Solution:
The successor of 999 is 1000, and the predecessor of 1001 is 1000.
So, 1000 + 1000 equals 2000.
13. Divide the smallest three-digit number by the largest single-digit number. What is the quotient?
Solution:
The smallest three-digit number is 100, and the largest single-digit number is 9.
So, 100 divided by 9 equals 11 remainder 1, or approximately 11.11.
14. A train covers 120 kilometers in 2 hours. How many kilometers will it cover in 3 hours at the same speed?
Solution:
If a train covers 120 kilometers in 2 hours, in 3 hours (which is 1.5 times 2 hours), it will cover 1.5 times 120 kilometers, which is 180 kilometers.
15. A rope is 20 meters long. If it is cut into pieces each 4 meters long, how many pieces can be obtained?
Solution:
If each piece of rope is 4 meters long, the number of pieces obtained from a 20-meter rope is 20 divided by 4, which equals 5 pieces.
16. If you arrange the numbers 1 to 100 in order, which number will be exactly in the middle?
Solution:
To find the middle number between 1 and 100, calculate the average of these two numbers: (1 + 100) / 2 = 101 / 2 = 50.5. Since we are dealing with whole numbers, the numbers 50 and 51 are in the middle.
17. What is the total number of even whole numbers between 1 and 100?
Solution:
Even numbers between 1 and 100 are from 2 to 100.
Counting every second number gives us a total of 50 even numbers.
18. Find the difference between the sum of odd whole numbers and even whole numbers from 1 to 50.
Solution:
Sum of odd numbers from 1 to 50 (1, 3, 5, …, 49) is 625.
Sum of even numbers from 1 to 50 (2, 4, 6, …, 50) is 650.
The difference is 650 – 625 = 25.
19. A tower casts a shadow 40 meters long. If the height of the tower is 30 meters, what is the length of the shadow cast by a 60-meter tall building?
Solution:
Assuming similar conditions, the shadow length is proportional to the height.
For a 30-meter tower, the shadow is 40 meters.
So, for a 60-meter tower (double the height), the shadow will be double the length, which is 80 meters.
20. If a bookshelf has 5 shelves and each shelf can hold 24 books, how many books can the entire bookshelf hold?
Solution:
If each shelf holds 24 books, then 5 shelves can hold 5 × 24 = 120 books in total.
21. If the sum of the first ‘n’ natural numbers is 210, what is the value of ‘n’?
Solution:
The sum of the first ‘n’ natural numbers is given by n(n + 1)/2 = 210.
Solving the quadratic equation, n² + n – 420 = 0,
n = 20.
22. A number is multiplied by 4, and 3 is subtracted from the product. The result is 25. What is the original number?
Solution:
Let the original number be x. According to the problem, 4x – 3 = 25.
Solving for x, we get x = 7.
23. If a garden has 45 trees and each tree yields 120 fruits, how many fruits are there in total?
Solution:
Total number of fruits = number of trees × fruits per tree
= 45 × 120 = 5400 fruits.
24. A clock ticks 60 times in a minute. How many times will it tick in an hour and a half?
Solution:
Number of ticks in an hour (60 minutes) is 60 × 60 = 3600.
For an hour and a half (90 minutes), it will tick 3600 + (30 × 60) = 5400 times.
25. The product of two whole numbers is 48. If one of the numbers is 6, what is the other number?
Solution:
If one number is 6 and their product is 48, the other number is 48 / 6 = 8.
26. There are 123 pages in a book. Rahul reads 1 page on the first day, 2 pages on the second day, 3 pages on the third day, and so on. On which day will he finish the book?
Solution:
This forms an arithmetic series with the nth term as n.
We need to find ‘n’ for which the sum of first n terms is 123. Using the formula for the sum of an arithmetic series, n(n+1)/2 = 123
n = 15.
27. If every student in a class of 50 students plants 8 trees, how many trees are planted in total?
Solution:
Total trees planted = number of students × trees per student
= 50 × 8 = 400 trees.
28. A rope of 120 meters is cut into pieces, each piece being 15 meters long. How many such pieces can be cut and how much rope is left unused?
Solution:
Number of 15-meter pieces = 120 / 15 = 8 pieces.
Rope left unused = 120 – (8 × 15) = 0 meters.
