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Mathematics

Whole Numbers and Their Properties: Advanced 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.
Word Problem Raj bought 119 pieces of fabric for ₹ 3,567 each. Later, he returned 19 pieces and received a refund. Calculate the total amount spent after the refund.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Total cost of 119 pieces = 119 × 3,567
Step 2: Total refund for 19 pieces = 19 × 3,567
Step 3: Total spent = (119 × 3,567) - (19 × 3,567)
Answer: ₹ 3,57,648
2.
Word Problem Amal supplies 15 litres of milk daily at ₹ 30 per litre. Calculate his total earnings in one week.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Daily earnings = 15 × 30
Step 2: Weekly earnings = Daily earnings × 7
Answer: ₹ 3,150
3.
Word Problem Raman incurs a daily travel expense of ₹ 150. Calculate the total expense for the month of June, which has 30 days.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Daily travel expense = 150
Step 2: June travel expense = 150 × 30
Answer: ₹ 4,500
4.
Word Problem Sonu attends music class 4 days a week and Manu 3 days a week. Find the total number of class days in a year if they continue their schedules.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Sonu's yearly classes = 4 × 52
Step 2: Manu's yearly classes = 3 × 52
Step 3: Total class days = 4 × 52 + 3 × 52
Answer: 364 days
5.
Word Problem Arun spends ₹ 55 on lunch and ₹ 40 on dinner daily. Find his weekly expenditure on both, and verify using the Distributive Property.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Daily total expenditure = 55 + 40
Step 2: Weekly expenditure = (55 + 40) × 7
Step 3: Verification using distributive property: Weekly expenditure = (55 × 7) + (40 × 7)
Answer: ₹ 665
6.
Word Problem Calculate the product of the greatest 3-digit number and the greatest 2-digit number using the most suitable property.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Greatest 3-digit number = 999
Step 2: Greatest 2-digit number = 99
Step 3: Product = 999 × 99
Answer: ₹ 98,901
7.
Word Problem A teacher asks to find the successor and predecessor of the number 8,06,998. Calculate their sum.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Predecessor = 8,06,997
Step 2: Successor = 8,06,999
Step 3: Sum of predecessor and successor = 8,06,997 + 8,06,999
Answer: ₹ 16,13,996
8.
Word Problem If the successor of a number is 8,07,000, find the original number.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Let the number be x
Step 2: Successor of x = x + 1 = 8,07,000
Step 3: x = 8,07,000 - 1
Answer: ₹ 8,06,999
9.
Word Problem Use properties of whole numbers to rearrange and simplify the expression 703 + 768 + 297 + 322.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Group numbers as (703 + 297) + (768 + 322)
Step 2: Simplify inside brackets: 1,000 + 1,090
Step 3: Sum = 1,000 + 1,090
Answer: ₹ 2,090
10.
Word Problem Find the application of the Commutative Property in this scenario: (18 + 5 - 5) and verify using whole number properties.
10 pts
Working:
Answer:
Worked Solution:
Step 1: Evaluate inside bracket: 18 + (5 - 5)
Step 2: Result is same as: (18 + 0)
Step 3: Application of commutative property: 18 = 18
Answer: 18
10
Total Questions
100
Total Points
~35
Minutes