RBSE Solutions Class 6 Maths Chapter 1 Know the Numbers Exercise 1.2

Rajasthan Board RBSE Class 6 Maths Chapter 1 Know the Numbers Ex 1.2

Question 1. Fill in the (RBSESolutions.com) blanks :
(i) 1 thousand = ............ tens
(ii) 100 lakhs = ............ crore
(iii) 1 kg = ............ grams
(iv) 100 cm = ............ meter
(v) 1 km = ............ meter
(vi) 1 litre = ............ milli litre
Answer:
(i) 1 thousand = \( 100 \) tens. This means 100 tens make one thousand.
(ii) 100 lakhs = \( 1 \) crore. A crore is a larger unit equal to 100 lakhs.
(iii) 1 kg = \( 1000 \) grams. Kilograms are used for heavier items, and grams for lighter ones.
(iv) 100 cm = \( 1 \) meter. A meter is a standard unit of length.
(v) 1 km = \( 1000 \) meter. Kilometers are used for measuring longer distances.
(vi) 1 litre = \( 1000 \) milli litre. Litres measure liquid volume, and milliliters are smaller units.
In simple words: We need to fill in the correct numbers to complete the unit conversions. For example, 100 tens make a thousand, and 1000 grams make a kilogram.

🎯 Exam Tip: Remember common conversions like 1 kg = 1000 g and 1 litre = 1000 ml. Understanding the prefixes like 'kilo' (1000) and 'centi' (1/100) helps a lot.

Question 2. The winning candidate got 6,42,312 votes in Loksabha elections. He beat his nearest rival by 65,318 votes. Find out how many votes did the nearest rival get.
Answer:
Votes secured by the winning candidate = \( 6,42,312 \)
Difference in votes between the winning candidate and the nearest rival = \( 65,318 \)
To find the votes of the nearest rival, we subtract the difference from the winner's votes.
Votes secured by the nearest rival = \( 6,42,312 - 65,318 = 5,76,994 \)
So, the nearest rival got \( 5,76,994 \) votes.
In simple words: The winner got 6,42,312 votes. The winner won by 65,318 votes. To find the rival's votes, we subtract the winning margin from the winner's total.

🎯 Exam Tip: When a question asks for a "difference" in the context of one person beating another, it usually means subtraction to find the lesser value.

Question 3. In the first four days, the Dashehra Mela was visited by 3079, 5768, 9014 and 12306 people (RBSESolutions.com) respectively. Find out how many people in all turned up to visit the Mela in the four days?
Answer:
Number of visitors on day 1 = \( 3,079 \)
Number of visitors on day 2 = \( 5,768 \)
Number of visitors on day 3 = \( 9,014 \)
Number of visitors on day 4 = \( 12,306 \)
To find the total number of people, we add up the visitors from all four days.
Total number of people in four days = \( 3,079 + 5,768 + 9,014 + 12,306 = 30,167 \)
So, a total of \( 30,167 \) people visited the Mela in those four days.
In simple words: We add the number of people who visited the fair on each of the four days to get the total number of visitors. This tells us how popular the Mela was.

🎯 Exam Tip: When a question uses phrases like "in all," "total," or "altogether," it indicates that addition is the operation required to solve the problem.

Question 4. A cricketer made 15030 runs in Test Cricket and 18999 runs in One day Cricket. How many runs were made in both types of games ?
Answer:
Runs scored in Test Cricket = \( 15,030 \)
Runs scored in One Day Cricket = \( 18,999 \)
To find the total runs, we add the runs from both types of games.
Total runs scored = \( 15,030 + 18,999 = 34,029 \)
So, the cricketer scored a total of \( 34,029 \) runs across both Test and One Day Cricket matches.
In simple words: We add the runs from Test Cricket and One Day Cricket together. This sum gives us the total runs made in both games.

🎯 Exam Tip: Pay attention to keywords like "total" or "both types" which signal the need to add values together to find a combined sum.

Question 5. Find the difference between (RBSESolutions.com) the biggest and smallest numbers obtained by using all the digits 5, 3, 9, 7, 4 once.
Answer:
The given digits are \( 5, 3, 9, 7, 4 \).
To form the largest number, arrange the digits in descending order: \( 9, 7, 5, 4, 3 \). So, the largest number is \( 97,543 \).
To form the smallest number, arrange the digits in ascending order: \( 3, 4, 5, 7, 9 \). So, the smallest number is \( 34,579 \).
Now, we find the difference between these two numbers.
Difference = Largest number - Smallest number
Difference = \( 97,543 - 34,579 = 62,964 \)
Thus, the difference between the biggest and smallest numbers formed is \( 62,964 \).
In simple words: First, use the given digits to make the largest possible number and the smallest possible number. Then, subtract the smaller number from the larger number.

🎯 Exam Tip: To create the largest number, arrange digits from biggest to smallest. To create the smallest number, arrange digits from smallest to biggest (be careful with zero if it's one of the digits). Then subtract to find the difference.

Question 6. Members of a self-employment group makes 1,385 Papads daily. How many Papads would they make in August?
Answer:
Number of Papads made in 1 day = \( 1,385 \)
The month of August has \( 31 \) days. This is a common knowledge fact about the calendar.
To find the total number of Papads made in August, we multiply the daily production by the number of days in August.
Total Papads made in August = Daily Papads \( \times \) Number of days in August
Total Papads made in August = \( 1,385 \times 31 = 42,935 \)
Thus, they would make \( 42,935 \) Papads in the month of August.
In simple words: We know how many Papads are made each day. We also know that August has 31 days. So, we multiply the daily amount by 31 to find the total for the month.

🎯 Exam Tip: Remember the number of days in each month or use a simple trick like the knuckle method to quickly recall if a month has 30 or 31 days.

Question 7. An airplane travels 685 kilometers in an hour. How much distance would it cover in 36 hours?
Answer:
Distance traveled by the airplane in 1 hour = \( 685 \) km
We need to find the distance covered in \( 36 \) hours. Since the distance covered each hour is the same, we multiply the distance for one hour by the total number of hours.
Distance traveled in \( 36 \) hours = Distance in 1 hour \( \times \) Number of hours
Distance traveled in \( 36 \) hours = \( 685 \times 36 = 24,660 \) km
Therefore, the airplane would cover \( 24,660 \) km in 36 hours.
In simple words: The airplane travels 685 km in one hour. To find out how far it goes in 36 hours, we multiply 685 by 36.

🎯 Exam Tip: This is a direct multiplication problem where you're scaling up a rate (distance per hour) by a given number of units (hours).

Question 8. A Processing math: 0% 50 for buying 150 (RBSESolutions.com) television sets. Find out the cost of one
Answer:
Total cost for 150 television sets = Rs \( 50 \) (Assuming the full cost was Rs 50, based on the verbatim question text, although this is an unusually small number for 150 TV sets)
Number of television sets = \( 150 \)
To find the cost of one television set, we divide the total cost by the number of sets.
Cost of one television set = Total cost \( \div \) Number of sets
Cost of one television set = Rs \( \frac{50}{150} = \text{Rs } \frac{1}{3} \)
So, the cost of one television set is Rs \( \frac{1}{3} \). This calculation assumes the cost `50` is a complete number as given.
In simple words: We have the total cost for 150 TV sets. To find the cost of just one set, we divide the total cost by the number of sets.

🎯 Exam Tip: When given a total cost for multiple items and asked for the cost of one, always use division. Ensure your units are consistent throughout the calculation.

Question 9. A student multiplied 5,068 with 36 instead of 63. Find out the difference in both answers.
Answer:
The correct multiplication should be \( 5,068 \times 63 \).
Correct answer = \( 5,068 \times 63 = 3,19,284 \)
The student multiplied \( 5,068 \) by \( 36 \).
Incorrect answer = \( 5,068 \times 36 = 1,82,448 \)
To find the difference between the two answers, we subtract the smaller result from the larger one.
Difference = Correct answer - Incorrect answer
Difference = \( 3,19,284 - 1,82,448 = 1,36,836 \)
Thus, the difference between the two answers is \( 1,36,836 \).
In simple words: First, calculate the correct answer by multiplying 5,068 by 63. Then, calculate the student's wrong answer by multiplying 5,068 by 36. Finally, subtract the smaller answer from the bigger one to find the difference.

🎯 Exam Tip: When dealing with calculation errors, always perform both the intended (correct) calculation and the actual (incorrect) calculation. Then, find the difference between their results.

Question 10. 75,000 sheets of paper are available for making Practice books. From every (RBSESolutions.com) sheet, 8 pages of Practice book are made. Every Practice book has 200 pages. How many practice books can be made from the available sheets of paper?
Answer:
Total number of sheets of paper available = \( 75,000 \)
Number of pages made from 1 sheet = \( 8 \)
First, calculate the total number of pages that can be made from all the sheets.
Total pages formed = \( 75,000 \text{ sheets} \times 8 \text{ pages/sheet} = 6,00,000 \text{ pages} \)
Each Practice book has \( 200 \) pages.
To find out how many books can be made, divide the total pages by the pages per book.
Number of practice books made = \( \frac{\text{Total pages}}{\text{Pages per book}} \)
Number of practice books made = \( \frac{6,00,000}{200} = 3,000 \)
So, \( 3,000 \) practice books can be made from the available sheets of paper.
In simple words: We first find the total number of pages we can make from all the paper. Then, we divide this total by the number of pages in one book to see how many books can be created.

🎯 Exam Tip: Break down multi-step problems. First, calculate intermediate values (like total pages), then use that result for the final calculation (total books). Always check units carefully.

Question 17. There are 15 litre of milk available (RBSESolutions.com) in a hotel. If 25 ml milk is required for making a cup of tea, how many cups of tea can be made from 15 litre of milk?
Answer:
Available milk = \( 15 \) litres
Milk required for 1 cup of tea = \( 25 \) ml
First, we need to convert the total available milk from litres to milliliters so both units are the same. We know that \( 1 \) litre = \( 1000 \) ml.
Available milk in milliliters = \( 15 \text{ litres} \times 1000 \text{ ml/litre} = 15,000 \text{ ml} \)
Now, to find how many cups of tea can be made, we divide the total available milk (in ml) by the milk required for one cup (in ml).
Number of cups of tea = \( \frac{\text{Total available milk (ml)}}{\text{Milk per cup (ml)}} \)
Number of cups of tea = \( \frac{15,000}{25} = 600 \)
Thus, using \( 15 \) litres of milk, \( 600 \) cups of tea can be made.
In simple words: First, change the total milk from litres to milliliters. Then, divide the total milliliters of milk by the amount of milk needed for one cup of tea to find out how many cups can be made.

🎯 Exam Tip: Always ensure all quantities are in the same units before performing calculations. Unit conversion is often the first crucial step in such problems.