Generated May 24, 2026 at 9:11 PM from Math-Ch-03.pdf
Mathematics
Advanced Whole Numbers Problem Solving
Whole Numbers
100 pts
10 questions • ~35 min
Aayush Nayak
6-B
Grade 6
YBIS
Home
Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
10 pts
Word Problem
If Indian independence day is celebrated on 15th August, calculate the total number of days from 1st January of a leap year to 15th August. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Number of days in January = 31
Step 2: Number of days in February (leap year) = 29
Step 3: Number of days in March = 31
Step 4: Number of days in April = 30
Step 5: Number of days in May = 31
Step 6: Number of days in June = 30
Step 7: Number of days in July = 31
Step 8: Number of days until 15th August = 15
Total = 31 + 29 + 31 + 30 + 31 + 30 + 31 + 15
Answer: 228 days
2.
10 pts
Word Problem
A factory produces 125 widgets per day. Due to increased demand, they decide to work an extra day each fortnight. Calculate the increase in production after 3 months. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Number of days in 3 months assuming average 30 days per month = 90
Step 2: Number of extra days worked in 3 months (90 / 14 = 6 fortnights) = 6
Step 3: Total normal production in 3 months = 125 × 90
Step 4: Additional production = 125 × 6
Total increase in production = 125 × 6
Answer: 750 additional widgets
3.
10 pts
Word Problem
Swathi gets paid ₹ 45 per hour. She worked 35 hours one week, and 42 hours the next week. Calculate her total earnings for these two weeks. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Earnings for first week = 45 × 35
Step 2: Earnings for second week = 45 × 42
Total earnings = (45 × 35) + (45 × 42)
Answer: ₹ 3,465
4.
10 pts
Word Problem
A bookstore had a stock of 5,000 books. They sold 245 books each week for 4 weeks and then received a new shipment of 1,500. Calculate the current inventory. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Books sold in 4 weeks = 245 × 4
Step 2: Total stock after sales = 5,000 - (245 × 4)
Step 3: Current inventory after new shipment = (5,000 - 980) + 1,500
Answer: 5,520 books
5.
10 pts
Word Problem
A rectangular garden has a length that is twice its width. If the perimeter of the garden is 300 meters, find the dimensions of the garden. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Let width = W, then length = 2W
Step 2: Formula for perimeter = 2(length + width) = 2(2W + W)
Step 3: 6W = 300
Step 4: W = 300 / 6
Width = 50 meters, Length = 100 meters
Answer: Dimensions are 50 meters by 100 meters
6.
10 pts
Word Problem
A school fundraiser sells entry tickets at ₹ 150 each and raffle tickets at ₹ 25 each. If 240 entry tickets and 150 raffle tickets are sold, calculate the total revenue generated. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Revenue from entry tickets = 150 × 240
Step 2: Revenue from raffle tickets = 25 × 150
Total revenue = (150 × 240) + (25 × 150)
Answer: ₹ 39,750
7.
10 pts
Word Problem
A car travels at a constant speed of 90 km/h. Calculate the distance traveled in 3 hours and 45 minutes. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Convert 45 minutes to hours = 45/60 = 0.75
Step 2: Total time in hours = 3 + 0.75 = 3.75
Step 3: Distance = Speed × Time
Distance = 90 × 3.75
Answer: 337.5 km
8.
10 pts
Word Problem
A tank can be filled by a pipe in 4 hours and emptied by another pipe in 6 hours. If both pipes are opened together, how long will it take to fill the tank? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Rate of filling = 1/4 tank per hour
Step 2: Rate of emptying = 1/6 tank per hour
Step 3: Net rate = (1/4 - 1/6) tank per hour
Step 4: Net rate = 1/12 tank per hour
Time to fill = 1 / (1/12)
Answer: 12 hours
9.
10 pts
Word Problem
A grocer purchased a sack of rice weighing 60 kg. If he sells parts of it weighing 12.5 kg, 15 kg, and 23 kg, how much rice is left? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Total weight of rice sold = 12.5 + 15 + 23
Step 2: Total weight of rice sold = 50.5 kg
Step 3: Rice left = 60 - 50.5
Answer: 9.5 kg
10.
10 pts
Word Problem
An organization has a budget of ₹ 2,00,000 for projects. If it spends ₹ 52,750 on Project A, ₹ 68,945 on Project B, and ₹ 23,250 on Project C, how much budget remains? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Total expenditure = 52,750 + 68,945 + 23,250
Step 2: Total expenditure = 1,44,945
Step 3: Remaining budget = 2,00,000 - 1,44,945
Answer: ₹ 55,055
10
Total Questions
100
Total Points
~35
Minutes