Mental Maths Question 2. Multiple Choice Questions<\/strong><\/p>\n Choose the correct answer from the given four options (3 to 17):<\/strong> Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Question 14. Question 15. Question 16. Question 17. Value Based Questions<\/strong><\/p>\n Question 1. Higher Order Thinking Skills (HOTS)<\/strong><\/p>\n Question 1. Question 2. Question 3. Question 4.
\n<\/strong>Question 1.
\nFill in the blanks:
\n(i) The digit …………… has the highest place value in the number 2309.
\n(ii) The digit …………… has the highest face value in the number 2039.
\n(iii) The digit …………… has the lowest place value in the number 2039.
\n(iv) Both Indian and International systems of numeration have …………… period in common.
\n(v) In the International system of numeration, commas are placed from …………… after every …………… digits.
\n(vi) The bigger number from the numbers 57,631 and 57,361 is ……………
\n(vii) 1 crore = …………… million
\n(viii)The smallest 4-digit number with 3 different digits is ……………
\n(ix) The greatest 4-digit number with 3 different digits is ……………
\n(x) 15 km 300 m = …………… m
\n(xi) 7850 cm = …………… m …………… cm
\n(xii) The number 5079 when estimated to the nearest hundreds is ……………
\nSolution:
\n(i) The digit 2 has the highest place value in the number 2309.
\n(ii) The digit 9 has the highest face value in the number 2039.
\n(iii) The digit 0 has the lowest place value in the number 2039.
\n(iv) Both Indian and International systems of numeration have ones period in common.
\n(v) In the International system of numeration, commas are placed from right after every 3 digits.
\n(vi) The bigger number from the numbers 57,631 and 57,361 is 57,631.
\n(vii) 1 crore = 10 million (viii)The smallest 4-digit number with 3 different digits is 1002.
\n(ix) The greatest 4-digit number with 3 different digits is 9987.
\n(x) 15 km 300 m = 15300 m
\n(xi) 7850 cm = 78 m 50 cm
\n(xii) The number 5079 when estimated to the nearest hundreds is 5100.<\/p>\n
\nState whether the following statements are true (T) or false (F):
\n(i) The difference between the place value and the face of the digit 7 in the number 2701 is 693.
\n(ii) The smallest 4-digit number -1 = the greatest 3-digit number.
\n(iii) The place of a digit is independent of whether the number is written in the Indian system or International system of numeration.
\n(iv) In the International system, a number having less number of digits is always smaller than the number having more number of digits.
\n(v) The estimated value of 9999 to the nearest tens is 10000.
\nSolution:
\n(i) The difference between the place value and the face of the digit 7 in the number 2701 is 693. True
\n(ii) The smallest 4-digit number-1 = the greatest 3-digit number. True
\n(iii) The place of a digit is independent of whether the number is written in the Indian system or International system of numeration.
\nTrue
\n(iv) In the International system, a number having less number of digits is always smaller than the number having more number of digits.
\nTrue
\n(v) The estimated value of 9999 to the nearest<\/p>\n
\nQuestion 3.
\nThe face value of the digit 5 in the number 36503 is
\n(a) 5
\n(b) 503
\n(c) 500
\n(d) none of these
\nSolution:
\nThe place value of 5 at hundred\u2019s place
\n= 5 \u00d7 100 = 500 (c)<\/p>\n
\nThe difference between the place values of 6 and 3 in 76834 is
\n(a) 3
\n(b) 5700
\n(c) 5930
\n(d) 5970
\nSolution:
\nThe place value of 6 at thousand\u2019s place
\n= 6 \u00d7 1000 = 6,000
\nThe place value of 3 at ten\u2019s place
\n= 3 \u00d7 10 = 30
\nThe difference between the place value of 6 and 3 = 6000 – 30 = 5970 (d)<\/p>\n
\nThe sum of the place values of all the digits in 5003 is
\n(a) 8
\n(b) 53
\n(c) 5003
\n(d) 8000
\nSolution:
\nThe place value of 3 at one\u2019s place
\n=3 \u00d7 1 = 3
\nThe place value of 0 at ten\u2019s place = 0 \u00d7 10 = 0
\nThe place value of 0 at hundred\u2019s place = 0 \u00d7 100 = 0
\nThe place value of 5 at thousand\u2019s place = 5 \u00d7 1000 = 5000
\nThe sum of the place value of all the digits
\nin 5003 = 3 + 0 + 0 + 5000 = 5003 (c)<\/p>\n
\nThe total number of 4-digit numbers is
\n(a) 9000
\n(b) 9999
\n(c) 10000
\n(d) none of these
\nSolution:
\nThe greatest 3-digit number = 999 The greatest 4-digit number = 9999 .\u2019. The total number of 4-digit numbers
\n= 9999 – 999 = 9000 (a)<\/p>\n
\nThe product of the place values of two-threes in 73532 is
\n(a) 9000
\n(b) 90000
\n(c) 99000
\n(d) 1000
\nSolution:
\nThe place value of 3 at ten\u2019s place = 3 \u00d7 10 = 30
\nThe place value of 3 at thousand\u2019s place = 3 \u00d7 1000 = 3000
\nThe product of place value of two threes = 30 \u00d7 3000 = 90000 (b)<\/p>\n
\nThe smallest 4-digit number having distinct digits is
\n(a) 1234
\n(b) 1023
\n(c) 1002
\n(d) 3210
\nSolution:
\nThe smallest 4-digit number having distinct digits is 1002. (c)<\/p>\n
\nThe largest 4-digit number having distinct digits is
\n(a) 9999
\n(b) 9867
\n(c) 9786
\n(d) 9876
\nSolution:
\nThe largest 4-digit number having distinct digits is 9867. (b)<\/p>\n
\nThe largest 4-digit number is
\n(a) 9999
\n(b) 9876
\n(c) 9990
\n(d) none of these
\nSolution:
\nThe largest 4-digit number is 9999. (a)<\/p>\n
\nThe difference between the largest number of 3-digit and the largest number of 3-digit with distinct digits is
\n(a) 0
\n(b) 10
\n(c) 12
\n(d) 14
\nSolution:
\nThe largest number of 3-digit = 999
\nThe largest number of 3-digit with distinct digits = 987
\n\u2234 Their difference = 999 – 987 = 12 (c)<\/p>\n
\nIf we write natural numbers from 1 to 100, the number of times the digit 5 has been written is
\n(a) 11
\n(b) 15
\n(c) 19
\n(d) 20
\nSolution:
\nIf we write natural numbers from 1 to 100, the number of times the digit 5 has been written is 20. (d)<\/p>\n
\nThe number 28,549 when rounded off to the nearest hundreds is
\n(a) 28,000
\n(b) 28,500
\n(c) 28,600
\n(d) 29,000
\nSolution:
\n28,549
\nThe digit at tens place is 4, which is less than 5.
\nHence, the rounded off number to nearest hundreds = 28,500. (b)<\/p>\n
\nThe smallest natural number which when rounded off to the nearest hundreds as 500 is
\n(a) 499
\n(b) 501
\n(c) 450
\n(d) 549
\nSolution:
\nThe smallest natural number which when rounded off to the nearest hundreds as 500 is 450. (c)
\nThis is so because the digit at tens place is 5, which is equal to 5.<\/p>\n
\nThe greatest natural number which when rounded off to the nearest hundreds as 500 is
\n(a) 549
\n(b) 599
\n(c) 450
\n(d) none of these
\nSolution:
\nThe greatest natural number which when rounded off to the nearest hundreds as 500 is 549. (a)
\nThis is so because the digit at tens place is 4, which is less than 5.<\/p>\n
\nThe greatest 5-digit number formed by the digits 3, 0, 7 is
\n(a) 33077
\n(b) 77730
\n(c) 77330
\n(d) none of these
\nSolution:
\nThe greatest 5-digit number formed by the digits 3, 0, 7 is 77730. (b)<\/p>\n
\nIn the International place value system, we write 1 billion for
\n(a) 10 lakh
\n(b) 1 crore
\n(c) 10 crore
\n(d) 100 crore
\nSolution:
\nIn the International place value system, we write 1 billion for 100 crore. (d)<\/p>\n
\nThe distance between Anu’s home and her school is 4 km 850 m. Everyday she cycles both ways. Find the distance covered by her in a week. (Sunday being a holiday).
\nWhat are the advantages of cycling?
\nSolution:
\nDistance between Anu’s home and her school = 4 km 850 m = 4 x 1000+ 850 = 4850 m Distance travelled by Anu per day = 4850 m x 2 = 9700 m Since, in a week there are 7 days but Sunday is off.
\nHence, distance travelled by Anu for 6 days (a week) = 9700 \u00d7 6 = 58200 m
\n= 58 km 200 m
\nCycling is good for health and it saves fuel and helps in reducing pollution.<\/p>\n
\nIs there any digit whose place value is always equal to its face value irrespective of its position in any number?
\nSolution:
\nYes, the digit is 0.<\/p>\n
\nWrite all 4-digit numbers that can be formed with the digits2 and 5, using both digits equal number of time. Also find their sum.
\nSolution:
\nPossible numbers are : 2255, 2552, 2525, 5225, 5252, 5522
\nand their sum = 2255 + 2552 + 2525 + 5225 + 5252 + 5522 = 23331<\/p>\n\n\n
\n Thousand<\/strong><\/td>\n Hundred<\/strong><\/td>\n Tens<\/strong><\/td>\n Ones<\/strong><\/td>\n<\/tr>\n \n 2<\/td>\n 2<\/td>\n 5<\/td>\n 5<\/td>\n<\/tr>\n \n 2<\/td>\n 5<\/td>\n 5<\/td>\n 2<\/td>\n<\/tr>\n \n 2<\/td>\n 5<\/td>\n 2<\/td>\n 5<\/td>\n<\/tr>\n \n 5<\/td>\n 2<\/td>\n 2<\/td>\n 5<\/td>\n<\/tr>\n \n 5<\/td>\n 2<\/td>\n 5<\/td>\n 2<\/td>\n<\/tr>\n \n 5<\/td>\n 5<\/td>\n 2<\/td>\n 2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nWhat is the difference between the smallest 6-digit number with five different digits and the greatest 5-digit number with four different digits?
\nSolution:
\nThe smallest 6-digit number with five different digits = 100234.
\nThe greatest 5-digit number with four different digits = 99876.
\nTheir difference = 100234 – 99876 = 358<\/p>\n
\nHow many times does the digit 3 occur at tert’s place in natural numbers from 100 to 1000?
\nSolution:
\n90 times i.e. 3, 13, 23, 33, 43, 53, 63, 73, 83, 93 and upto 983, 993<\/p>\nML Aggarwal Class 6 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"