QUESTION BANK - CLASS 6 -KNOWING OUR NUMBERS
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- 1 crore = _____ million
a) 9
b) 10
c) 100
d) 1000
- The greatest five digit number is ____
a) 9999
b) 99999
c) 10000
d) 100000
- How many natural numbers are there between 1 and 10?
a) 6
b) 7
c) 8
d) 9
- 1 lakh = _____ ten thousand
b) 99999
c) 100000
d) 10000
- Q1. The greatest of the numbers 3146, 3157, 31548, 31692 is
b) 57
c) 5486
d) 60000
- Q2. Which of the following number is equal to 1 lakh?
b) 10 thousand
c) 100 thousand
d) 1000 thousand
- Q3. How many lakh will make 1 million?
b) 100
c) 1000
d) 10000
- Q4. How many million will make 1 crore?
b) 100
c) 1000
d) 10000
- Q5. The greatest 3 digit number is __ *
b) 100
c) 999
d) 1000
- Q6. The smallest of the numbers 7536,7521,7548,7532 is ___
b) 7521
c) 7548
d) 7532
- Q7. Arrange in Descending order 123,132,231.1234
b) 1234,231,123,132
c) 1234,231,132,123
c) 1234,231,132,123
d) 123,1234,132,231
- Q8. Arrange in Ascending order 4567, ,456,45678
b) 45,456,4567,45678
c) 45678,4567,456,45
c) 45678,4567,456,45
d) 45,456,45678,4567
- Q9. The Roman numeral D is equal to
b) 50
c) 100
d) 500
- Q10. The Number 10 represents in Roman numeral is
b) X
c) M
d) I
- The greatest five digit number is
b)99999
c)10000
d) 99990
- Estimate:(rounding off) appying General rule - 87x313 is
b)90x310
c)87x313
d)80x313
EXTRA TRY THESE QUESTIONS
(b) Divide the difference of eighteen and six by four.
(c) Forty five divided by three times the sum of three and two.
RAMAN'S SHOP
- Roman numeral of 92 is
b)XCIII
c)LXXIII
d)none
- using the digits 1,5,7,2 without repetition, the greatest 4-digit number that can be made is
b) 7512
c) 7215
d) 1257
- using the digits 3,5,7,0 without repetition, the greatest 4-digit number that can be made is
b) 7530
c) 7350
d) 0357
- The smallest 4-digit number that can be made using the digits 1,8,5,3 without repetition is
b) 3581
c) 1358
d) 1538
- Make the greatest 4-digit number by using any one digit of 2,6,5 twice
b) 6552
c) 2655
d) 6652
Which of the following number is equal to 1 crore?
b) 100 thousand
c) 10 million
d) 100 million
- 1 million = _____ lakh
- Write in Roman Numerals 69 & 98
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.
Place commas correctly and write the numerals: Seventy-three lakh seventy-five thousand three hundred seven.
7) Write XC in Hindu-Arabic numerals.
EXTRA TRY THESE QUESTIONS
- Estimate the following products using general rule 578 X161
- Insert commas suitably and write the names according to Indian
- System of numeration 87595762
- Place commas correctly and write the numerals
- Seventy three lakhs seventy five thousand three hundred seven
- Sekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. how many more runs does he need?
- A vessel has 4 litres and 500 ml of curd. In how many glasses each of 25 ml capacity, can it be filled? (4M)
- A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?
- Place commas correctly and write the numerals:- (2m) Fifty-eight million four hundred twenty-three thousand two hundred two.
- Place commas correctly and write the numerals:- Seven crore fifty-two lakh twenty-one thousand three hundred two.(2M)
- In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?(3M)
- Use the given digits without repetition and make the greatest and smallest 4-digit numbers. (a) 2, 8, 7, 4 (b) 9, 7, 4, 1 (c) 4, 7, 5, 0 (d) 1, 7, 6, 2 (e) 5, 4, 0, 3 (Hint : 0754 is a 3-digit number.)
- Now make the greatest and the smallest 4-digit numbers by using any one digit twice. (a) 3, 8, 7 (b) 9, 0, 5 (c) 0, 4, 9 (d) 8, 5, 1 (Hint : Think in each case which digit will you use twice.)
- 9 + 1 = 10 = 10 × 1
- 99 + 1 = 100 = 10 × 10
- 999 + 1 = 1000 = 10 × 100
- 9 + 1 = 10
- 99 + 1 = 100
- 999 + 1 = _______
- 9,999 + 1 = _______
- 99,999 + 1 = _______
- 9,99,999 + 1 = _______
- 99,99,999 + 1 = 1,00,00,000
- What is 10 – 1 =?
- 2. What is 100 – 1 =?
- 3. What is 10,000 – 1 =?
- 4. What is 1,00,000 – 1 =?
- 5. What is 1,00,00,000 – 1 =?
- Read these numbers. Write them using placement boxes and then write their expanded forms. (i) 475320 (ii) 9847215 (iii) 97645310 (iv) 30458094
- (a) Which is the smallest number?
- (b) Which is the greatest number?
- (c) Arrange these numbers in ascending and descending orders.
- 2. Read these numbers. (i) 527864 (ii) 95432 (iii) 18950049 (iv) 70002509
- (a) Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration..
- (b) Arrange these in ascending and descending order.
- (a) Forty two lakh seventy thousand eight.
- (b) Two crore ninety lakh fifty five thousand eight hundred.
- (c) Seven crore sixty thousand fifty five
- 1. You have the following digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with 6 digits.
- (a) Put commas for easy reading.
- (b) Arrange them in ascending and descending order.
- Take the digits 4, 5, 6, 7, 8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading.
- From the digits 3, 0 and 4, make five numbers each with 6 digits. Use commas.
- How many centimetres make a kilometre?
- Name five large cities in India. Find their population. Also, find the distance in kilometres between each pair of these cities
- How many millimetres make 1 kilometre?
- How many milligrams make one kilogram?
- A box contains 2,00,000 medicine tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams and in kilograms?
- Round these numbers to the nearest tens. 28 32 52 41 39 48 64 59 99 215 1453 2936
- Estimate: 5,290 + 17,986.
- Estimate: 5,673 – 436.
- Estimate the following products : (a) 87 × 313 (b) 9 × 795 (c) 898 × 785 (d) 958 × 387 Make five more such problems and solve them.
- Write the expressions for each of the following using brackets.
(b) Divide the difference of eighteen and six by four.
(c) Forty five divided by three times the sum of three and two.
- 2. Write three different situations for (5 + 8) × 6. (One such situation is : Sohani and Reeta work for 6 days; Sohani works 5 hours a day and Reeta 8 hours a day. How many hours do both of them work in a week?)
- 3. Write five situations for the following where brackets would be necessary.
- Write in Roman Numerals (a) 69 (b) 98.
- The sales during the last year
- Apples 2457 kg
- Oranges 3004 kg
- Combs 22760
- Tooth brushes 25367
- Pencils 38530
- Note books 40002
- Soap cakes 20005
- (a) Can you find the total weight of apples and oranges Raman sold last year?
- Weight of apples = __________ kg
- Weight of oranges = _________ kg
- Therefore, total weight = _____ kg + _____ kg = _____ kg
- Answer – The total weight of oranges and apples = _________ kg.
- (b) Can you find the total money Raman got by selling apples?
- (c) Can you find the total money Raman got by selling apples and oranges together?
- (d) Make a table showing how much money Raman received from selling each item. Arrange the entries of amount of money received in descending order. Find the item which brought him the highest amount. How much is this amount?
- A bus started its journey and reached different places with a speed of 60 km/hour. The journey is shown on page 14.
- (i) Find the total distance covered by the bus from A to D.
- (ii) Find the total distance covered by the bus from D to G.
- (iii) Find the total distance covered by the bus, if it starts from A and returns back to A.
- (iv) Can you find the difference of distances from C to D and D to E?
- (v) Find out the time taken by the bus to reach (a) A to B (b) C to D (c) E to G (d) Total journey
EXERCISE 1.1
ONE MARK QUESTIONS
- Fill in the blanks:
- (a) 1 lakh = _______ ten thousand.
- (b) 1 million = _______ hundred thousand.
- (c) 1 crore = _______ ten lakh.
- (d) 1 crore = _______ million.
- (e) 1 million = _______ lakh.
- 2. Place commas correctly and write the numerals:
- (a) Seventy three lakh seventy five thousand three hundred seven.
- (b) Nine crore five lakh forty one.
- (c) Seven crore fifty two lakh twenty one thousand three hundred two.
- (d) Fifty eight million four hundred twenty three thousand two hundred two.
- (e) Twenty three lakh thirty thousand ten.
TWO MARK QUESTIONS
- 3. Insert commas suitably and write the names according to Indian System of Numeration : (a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701
- 4. Insert commas suitably and write the names according to International System of Numeration : (a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831
EXERCISE 1.2
THREE/FIVE MARK QUESTIONS
- Population of Sundarnagar was 2,35,471 in the year 1991. In the year 2001 it was found to be increased by 72,958. What was the population of the city in 2001?
- In one state, the number of bicycles sold in the year 2002-2003 was 7,43,000. In the year 2003-2004, the number of bicycles sold was 8,00,100. In which year were more bicycles sold? and how many more?
- The town newspaper is published every day. One copy has 12 pages. Everyday 11,980 copies are printed. How many total pages are printed everyday?
- The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?
- 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.
- Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?
- In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?
- 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?
- Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, 3 each only once.
- A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?
- 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?
- 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 multiplications?)
t of 40 m cloth, how many shirts can be
stitched and how much cloth will remain?
(Hint: convert data in cm.)
(a) 730 + 998
- Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg? 11. The distance between the school and a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.
- A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
POINTS TO REMEMBER
- Ascending order means arrangement from the smallest to the greatest.
- Descending order means arrangement from the greatest to the smallest
- Greatest single digit number + 1 = smallest 2-digit number
- Greatest 2-digit number + 1 = smallest 3-digit number
- Greatest 3-digit number + 1 = smallest 4-digit number
- 99 is the greatest 2-digit number.
- The greatest 3-digit number is 999
- The greatest 4-digit number is 9999
- 1 hundred = 10 tens
- 1 thousand = 10 hundreds = 100 tens
- 1 lakh = 100 thousands = 1000 hundreds
- 1 crore = 100 lakhs = 10,000 thousands
- The smallest 8-digit number is called one crore.
- To write the numeral for a number
- 1 kilometre = 1000 metres
- 1 metre = 100 centimetres or 1000 millimetres
- 10 millimetres = 1 centimetre
- 1 metre = 100 centimetres = 1000 millimetres
- 1 kilometre = 1000 metres
- 1 m = 1000 mm
- 1 km = 1000 m = 1000 × 1000 mm = 10,00,000 mm
- 1 kilogram = 1000 grams.
- 1 gram = 1000 milligrams.
- 1 litre = 1000 millilitres.
- e kilo is the greatest and milli is the smallest;
- kilo shows 1000 times greater, milli shows 1000 times smaller,
- i.e. 1 kilogram = 1000 grams,
- 1 gram = 1000 milligrams.
- centi shows 100 times smaller,
- i.e. 1 metre = 100 centimetres.
- 1. Given two numbers, one with more digits is the greater number. If the number of digits in two given numbers is the same, that number is larger, which has a greaterleftmost digit. If this digit also happens to be the same, we look at the next digit andso on.
- 2. In forming numbers from given digits, we should be careful to see if the conditions under which the numbers are to be formed are satisfied. Thus, to form the greatestfour digit number from 7, 8, 3, 5 without repeating a single digit, we need to use allfour digits, the greatest number can have only 8 as the leftmost digit.
- 3. The smallest four digit number is 1000 (one thousand). It follows the largest three digit number 999. Similarly, the smallest five digit number is 10,000. It is ten thousanand follows the largest four digit number 9999.
- Further, the smallest six digit number is 100,000. It is one lakh and follows the largest five digit number 99,999. This carries on for higher digit numbers in a similar manner.
- 4. Use of commas helps in reading and writing large numbers. In the Indian system of numeration we have commas after 3 digits starting from the right and thereafter every 2 digits. The commas after 3, 5 and 7 digits separate thousand, lakh and crore respectively. In the International system of numeration commas are placed after every 3 digits starting from the right. The commas after 3 and 6 digits separate thousand and million respectively.
- 5. Large numbers are needed in many places in daily life. For example, for giving number of students in a school, number of people in a village or town, money paid or received in large transactions (paying and selling), in measuring large distances say between various cities in a country or in the world and so on.
- 6. Remember kilo shows 1000 times larger, Centi shows 100 times smaller and milli shows 1000 times smaller, thus, 1 kilometre = 1000 metres, 1 metre = 100 centimetres or 1000 millimetres etc.
- 7. There are a number of situations in which we do not need the exact quantity but need only a reasonable guess or an estimate. For example, while stating how many spectators watched a particular international hockey match, we state the approximate number, say 51,000, we do not need to state the exact number.
EXERCISE 1.3
- 1. Estimate each of the following using general rule:
(a) 730 + 998
(b) 796 – 314
(c) 12,904 +2,888
(d) 28,292 – 21,496
Make ten more such examples of addition, subtraction and estimation of their outcome.
- 2. 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
Make four more such examples.
- 3. Estimate the following products using general rule:
(b) 5281 × 3491
(c) 1291 × 592
(d) 9250 × 29
Make four more such examples
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