Question and Answers for Class 6 Maths Exercise 1.2 Chapter 1 Knowing our Numbers
Question 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.
Solution:
Total Tickets = Tickets on Day 1 + Tickets on Day 2 + Tickets on Day 3 + Tickets on Day 4
Let’s calculate:
Tickets on Day 1 = 1094
Tickets on Day 2 = 1812
Tickets on Day 3 = 2050
Tickets on Day 4 = 2751
So,
Total Tickets = 1094 + 1812 + 2050 + 2751
Calculating the sum:
Total Tickets = 7707
The total number of tickets sold on all four days is 7707.
Question 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?
Solution:
Total required runs = 10,000
Runs scored so far = 6980
So,
More runs needed = 10,000 – 6980
Calculating the difference:
More runs needed = 3020
Shekhar needs 3020 more runs to reach his goal of 10,000 runs.
Question 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?
Solution:
Votes for successful candidate = 5,77,500
Votes for nearest rival = 3,48,700
So,
Winning margin = 5,77,500 – 3,48,700
Calculating the difference:
Winning margin = 2,28,800
The winning margin in the election was 2,28,800 votes.
Question 4. Kirti bookstore sold books worth Rs. 2,85,891 in the first week of June and books worth Rs. 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?
Solution:
Sales in the first week = Rs. 2,85,891
Sales in the second week = Rs. 4,00,768
So,
Total sales = Rs. 2,85,891 + Rs. 4,00,768
Calculating the sum:
Total sales = Rs. 6,86,659
To find which week had greater sales and by how much:
Difference in sales = Rs. 4,00,768 – Rs. 2,85,891
Calculating the difference:
Difference = Rs. 1,14,877
The total sale for the two weeks was Rs. 6,86,659. The second week had greater sales by Rs. 1,14,877.
Question 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.
Solution:
Greatest number = 76432
Least number = 23467
So,
Difference = 76432 – 23467
Calculating the difference:
Difference = 52965
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 is 52965.
Question 6. A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?
Solution:
Daily production = 2,825 screws
Number of days in January = 31
So,
Total production in January = 2,825 screws/day × 31 days
Calculating the product:
Total production = 87,575 screws
The machine produced 87,575 screws in the month of January 2006.
Question 7. A merchant had Rs. 78,592 with her. She placed an order for purchasing 40 radio sets at Rs. 1200 each. How much money will remain with her after the purchase?
Solution:
Cost of one radio set = Rs. 1200
Number of radio sets = 40
So,
Total cost of radio sets = Rs. 1200 × 40
Calculating the product:
Total cost = Rs. 48,000
Initial amount = Rs. 78,592
Amount spent = Rs. 48,000
Remaining amount = Rs. 78,592 – Rs. 48,000
Calculating the difference:
Remaining amount = Rs. 30,592
The merchant will have Rs. 30,592 remaining after the purchase.
Question 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?)
Solution:
Incorrect product = 7236 × 65
Correct product = 7236 × 56
Difference = (7236 × 65) – (7236 × 56)
Calculating the difference using distributive property:
Difference = 7236 × (65 – 56)
Difference = 7236 × 9
Calculating the product:
Difference = 65,124
The student’s answer was 65,124 greater than the correct answer.
Question 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.)
Solution:
First, we convert everything to centimeters. Then we divide the total cloth by the cloth needed for one shirt to find the number of shirts and the remaining cloth.
Cloth needed for one shirt = 2 m 15 cm = 215 cm
Total cloth available = 40 m = 4000 cm
So,
Number of shirts = Total cloth / Cloth needed for one shirt
Number of shirts = 4000 cm / 215 cm/shirt
Calculating the quotient:
Number of shirts = 18 shirts (since we cannot have a fraction of a shirt)
Cloth used for 18 shirts = 18 shirts × 215 cm/shirt
Calculating the product:
Cloth used = 3870 cm
Remaining cloth = Total cloth – Cloth used
Remaining cloth = 4000 cm – 3870 cm
Calculating the difference:
Remaining cloth = 130 cm
We can stitch 18 shirts, and 130 cm of cloth will remain.
Question 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?
Solution:
Weight of one box = 4 kg 500 g = 4.5 kg
Maximum capacity of van = 800 kg
So,
Number of boxes = Maximum capacity / Weight of one box
Number of boxes = 800 kg / 4.5 kg/box
Calculating the quotient:
Number of boxes = 177.78
Since we cannot have a fraction of a box, the maximum number of boxes that can be loaded is 177.
Question 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.
Solution:
One-way distance = 1 km 875 m = 1875 m
Daily total distance (both ways) = 1875 m × 2
Calculating the product:
Daily total distance = 3750 m
Total distance in six days = Daily total distance × 6 days
Calculating the product:
Total distance = 22,500 m
The total distance covered by her in six days is 22,500 meters.
Question 12. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
Solution:
Total curd = 4 litres 500 ml = 4500 ml
Capacity of one glass = 25 ml
So,
Number of glasses = Total curd / Capacity of one glass
Number of glasses = 4500 ml / 25 ml/glass
Calculating the quotient:
Number of glasses = 180
Therefore, the curd can be filled into 180 glasses.