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Q. Write in Roman numerals.
1. 73
2. 92

In Roman numerals:

Q. Write the expressions for each of the following using brackets.
(a) Four multiplied by the sum of nine and two.
(b) Divide the difference of eighteen and six by four.
(c) Forty five divided by three times the sum of three and two.

(a) Four multiplied by the sum of nine and two. (b) Divide the difference of eighteen and six by four. (c) Forty five divided by three times the sum of three and two.

3. Estimate the following products using general rule:
(a) 578 × 161     (b) 5281 × 3491       (c) 1291 × 592      (d) 9250 × 29 

(a)  Rounding off by general rule, 578 rounds off to 600 161 rounds off to 200, Required product =   (b)  Rounding off by the general rule, 5281 rounds off to 5000 3491 rounds off to 3500 Required product =  (c)  Rounding off by general rule, 1291 rounds off to 1300 592 rounds off to 600 Required product =  (d)   Rounding off by general rule, 9250 rounds off to 10000 29 rounds off to...

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

(a)  Rounding off to nearest hundreds, 439 rounds off to 400 334 rounds off to 300 4317 rounds off to 4300, Required sum =  Again, by rounding off to nearest tens, 439 rounds off to 440 334 rounds off to 330 4317 rounds off to 4320, Required sum =    (b)  Rounding off to nearest hundreds,  rounds off to  rounds off to Required difference =  Also, rounding off to nearest tens,   rounds off...

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

(a)       By rounding off to hundreds, 730 rounds off to 700, 998 rounds off to 1000. Required sum =    (b)  By rounding off to hundreds, 796 rounds off to 800, 314 rounds off to 300. Required difference =    (c)  By rounding off to thousands, 2904 rounds off to 13000, 2822 rounds off to 3000. Required sum =    (d)  By rounding off to nearest thousands, 28,296 rounds off to 28000, 21,496...

Q. Round off the given numbers to the nearest tens, hundreds and thousands.

Given Number               Approximate to Nearest       Rounded Form
75847                                     Tens                            ________________
75847                                   Hundreds                      ________________
75847                                   Thousands                    ________________
75847                                   Ten thousands               ________________

Given Number Approximate to Nearest Rounded Form 75847 Tens 75847 Hundreds 75847 Thousands 75847 Ten thousands 

12. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

We know,   Given, Capacity of vessel = Capacity of a single glass =  Number of glasses required to fill the vessel = Hence, 180 glasses are needed to fill the vessel completely.

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.

We know,  Given, Distance between the school and her house = The distance she covers each day =    Therefore, she will cover   in six days.

10. 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?

We know, Weight of each medicine box= Weight limit of the van =  The number of boxes that can be loaded in the van = Hence, 177 boxes can be loaded in the van.

9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain? (Hint: convert data in cm.)

We know, Given, Lenght of cloth required to stitch a shirt = Also, Now, the cloth required for one shirt = Number of shirts that can be stitched out = Therefore, 18 shirts can be made from the given cloth. And,  cloth will remain unused.

8. 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?)

Given, The student multiplied instead of . Wrong answer =  Correct answer =   The difference in the answers = Hence, his answer was greater than the correct answer by

7. A merchant had rupees 78,592 with her. She placed an order for purchasing 40 radio sets at rupees 1200 each. How much money will remain with her after the purchase?

Total money merchant has = Cost of one radio set =  Cost of 40 radio sets =  Money left with the merchant = Therefore, money left with her after purchase = 

6. A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Given, Screws produced by machine in one day = We know, there are 31 days in January   Screws produced in 31 days = Therefore, screws produced in January 2006 =

5. 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.

Given, digits: 6, 2, 7, 4 and 3  Since, the digits have to be used only once, arrange them in ascending and descending order to get the minimum and maximum number. Greatest number = Smallest number =  The difference between the greatest and the least number

4. 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?

Given, Worth of books sold in the first week = Worth of books sold in the second week = Total sale in the two weeks = Clearly, sales in the second week is greater than the first year by 

3. 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?

Given, Number of votes registered by the successful candidate = 5, 77,500 votes Number of votes registered by the rival candidate = 3, 48,700 votes The margin                   Therefore, the successful candidate won the election by a margin of votes.

2.  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?

The number of runs scored by Shekhar so far = 6980 The number of runs shekhar wishes to score = 10,000  The number of runs required = Therefore, Shekhar requires . 

1. 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.

Given, Tickets sold on the first day of exhibition = 1094 Tickets sold on the second day = 1812 Tickets sold on the third day  = 2050 Tickets sold on the last day = 2751 Total number of tickets sold =  Total number of tickets sold =

Q. A bus started its journey and reached different places with a speed of 60 km/hour.
 (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? 
                                                                                     
     

(i) Total distance from A to D = AB + BC + CD (ii) Total distance between D to G = DE + EF + FG   (iii) Required distance = AD + DG + GA (iv) The difference of distances from C to D and D to E 

Q. 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?

Number of medicine tablets =  Weight of each medicine tablet =  Therefore, total weight = 
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