RS Aggarwal 2021-2022 for Class 6 Maths Chapter 1 - Number System
TEST PAPER-1 A.
A. 1. Write each of the following numerals in words:
(i) 16,06,23,708 (ii) 14,23,08,915
Solution:-
(i) Sixteen crore six lakh twenty-three thousand seven hundred eight.
(ii) Fourteen crore twenty-three lakh eight thousand nine hundred fifteen.
2. Write each of the following numerals in words:
(i) 80,060, 409 (ii) 234,150,319
Solution:-
(i) Eighty million sixty thousand four hundred nine
(ii) Two hundred thirty-four million one hundred fifty thousand three hundred nineteen
3. Arrange the following numbers in ascending order:
3903216, 19430124, 864572, 6940513, 16531079
Solution:-
The given numbers in ascending order are:
864572 < 3903216 < 6940513 < 16531079 < 19430124
4. Arrange the following numbers in descending order:
54796203, 4675238, 63240613, 5125648, 589623
Solution:-
The given numbers in descending order are:
63240613 > 54796203 > 5125648 > 4675238 > 589623
5. How many 7-digit numbers are there in all?
Solution:-
The largest seven-digit number = 9999999
The smallest seven-digit number = 1000000
Number of all seven-digits numbers = (9999999 − 1000000) + 1
= 899999 + 1
= 9000000
Hence, there is a total of ninety lakh 7-digit numbers.
6. Write the largest and smallest numbers using each of the digits 1,4, 6, 8, 0 only once and find their difference.
Solution:-
The largest number formed using each of the digits: 1, 4, 6, 8 and 0, is 86410.
The smallest number formed using each of the digits: 1, 4, 6, 8 and 0, is 10468.
∴ Required difference = 86410 − 10468
= 75942
7. Write the Hindu-Arabic numeral for each of the following:
(i) CCXLII (ii) CDLXV (iii) LXXVI
(iv) DCCXLI (v) XCIV (vi) CXCIX
Solution:-
(i) CCXLII = 100 + 100 + (50 − 10) + 2 = 242
(ii) CDLXV = (500 − 100) + 50 + 10 + 5 = 465
(iii) LXXVI = 50 + 10 + 10 + 6 = 76
(iv) DCCXLI = 500 + 100 + 100 + ( 50 − 10) + 1 = 741
(v) XCIV = (100 − 10) + 4 = 94
(vi) CXCIX = 100 + (100 − 10) + 9 = 199
8. Write the Roman numeral for each of the following:
(1) 84 (ii) 99 (iii) 145 (iv) 406 (v) 519
Solution:-
(i) 84 = 50 + 30 + 4 = LXXXIV (ii) 99 = 90 + 9 = XCIX
(iii) 145 = 100 + (50 − 10) + 5 = CXLV (iv) 406 = 400 + 6 = CDVI
(v) 519 = 500 +10 + 9 = DXIX
9. Write the successor and predecessor of 999999 and find their difference.
Solution:-
Successor of 999999 = 999999 + 1 = 1000000
Predecessor of 999999 = 999999 − 1 = 999998
∴ Required difference = 1000000 − 999998 = 2
10. Round off each of the following to the nearest thousand:
(i) 1046 (ii) 973 (iii) 5624 (iv) 4368
Solution:-
(i) 1046 is rounded off to the nearest thousand as 1000.
(ii) 973 is rounded off to the nearest thousand as 1000.
(iii) 5624 is rounded off to the nearest thousand as 6000.
(iv) 4368 is rounded off to the nearest thousand as 4000.
B. Mark (✓) against the correct answer in each of the following:
11. Which of the following Roman numerals is correct?
(a) XC (b) XD (c) DM (d) VL
Solution:-
(a) Option (a) is correct.
Reason:- X can be subtracted from L and C only.
i.e., XC = ( 100 − 10 ) = 90
12. 1 Lakh = ...... thousands.
(a) 10 (b) 100 (c)1000 (d) none of these
Solution:-
Option (b) is correct.
One lakh (100000) is equal to one hundred thousand (100 x 1000).
13. No Roman numeral can be repeated more than....... Times.
(a) two (b) three (c) four (d) none of these
Solution:-
Option (b) is correct.
No Roman numeral can be repeated more than three times.
(a) 11 (b) 15 (c) 18 (d) 20
Solution:-
Option (d) is correct.
Between 1 and 100, the digit 9 occurs in 9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95,
96, 97, 98 and 99.
∴ The digit occurs 20 times between 1 and 100.
15. (7268 - 2427) estimated to the nearest hundred is
(a) 4900 (b) 4800 (c) 4841 (d) 5000
Solution:-
Option (a) is correct.
7268 will be rounded off to the nearest hundred as 7300.
2427 will be rounded of to the nearest hundred as 2400.
∴ 7300 − 2400 = 4900
16. One million = ………
(a) 1 lakh (b) 10 lakh (c) 100 lakh (d) 1 crore
Solution:-
Option (b) is correct.
1 million (1,000,000) = 10 lakh (10 × 1,00,000)
17. 1512 when rounded off to the nearest hundred is
(a) 1600 (b) 1500 (c) 1510 (d) none of these
Solution:-
Option (b) is correct.
The given number is rounded off to the nearest hundred as 1500.
18. Which of the symbols are never repeated?
(a) V, X and C (b) V, X and D (c) V, L and D (d) L, Kand C
Solution:-
Option (c) is correct.
In Roman numerals, V, L and D are never repeated and never subtracted.
19. Write 86324805 separating periods In Hindu-Arable system.
Solution:-
Periods: Crores Lakhs Thousands Hundreds Tens Ones
Digits: 8 63 24 8 0 5
Using commas, we write the given number as 8,63,24,805.
C. 20. Fill in the blanks:
(i) 1 crore = …….. lakh .
Solution:- 100 lakh
(ii) 1 crore = ….million
Solution:- 10 million
(iii) 564 when estimated to the nearest hundred is ....
Solution:- 600.
(iv) The smallest 4-digit number with four different digits is...
Solution:- 1023.
D. Write ' T ' for true and ' F ' for false in each of the following:
21. The difference of the face value and the place value of 5 in 85419 is 85414.
Solution:- F
Place value of 5 in 85419 = 5000
Face value of 5 in 85419 = 5
∴ Their difference = 5000 − 5 = 4995
22. In Roman numerals V, L, and D are never subtracted.
Solution:- T
In Roman numerals, V, L and D are never repeated and never subtracted.
23. The successor of the greatest 5-digit number is 100000.
Solution:- T
Greatest five-digit number = 99999
Successor of 99999 = 99999 + 1 = 100000
24. The estimated value of 46,530 to the nearest hundred is 46500.
Solution:- T
The number is 46,530. Its digit at the tens place is 3 < 5.
So, the number 46,530 is rounded off to the nearest hundred as 46,500.
25. 100 lakhs make a million.
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