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Mathematics

Exploring Whole Numbers

Whole Numbers
100 pts
40 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.
True / False Counting numbers include zero.
1 pt
True
False
Answer: False
2.
True / False The successor of any whole number can be found by adding one.
1 pt
True
False
Answer: True
3.
True / False The sum of any two whole numbers is always a whole number.
1 pt
True
False
Answer: True
4.
True / False Whole numbers are commutative under subtraction.
1 pt
True
False
Answer: False
5.
True / False Addition of whole numbers is associative.
1 pt
True
False
Answer: True
6.
True / False Multiplication is distributive over addition for whole numbers.
1 pt
True
False
Answer: True
7.
True / False Zero is the multiplicative identity for whole numbers.
1 pt
True
False
Answer: False
8.
True / False Any whole number multiplied by zero results in zero.
1 pt
True
False
Answer: True
9.
True / False The series of natural numbers starts from zero.
1 pt
True
False
Answer: False
10.
True / False Negative numbers are also part of whole numbers.
1 pt
True
False
Answer: False
11.
Multiple Choice How many whole numbers are smaller than 8?
2 pts
A. 7
B. 8
C. 9
D. 6
Answer: A. 7
12.
Multiple Choice The additive identity of whole numbers is:
2 pts
A. 1
B. 0
C. 2
D. 3
Answer: B. 0
13.
Multiple Choice What is the successor of the smallest whole number?
2 pts
A. 1
B. 5
C. 2
D. 3
Answer: A. 1
14.
Multiple Choice Find the successor of 8,06,998.
2 pts
A. 8,07,000
B. 8,06,998
C. 8,06,999
D. 8,06,997
Answer: C. 8,06,999
15.
Multiple Choice Which property is demonstrated by the equation: 2+4=4+2?
2 pts
A. Commutative
B. Associative
C. Identity
D. Distributive
Answer: A. Commutative
16.
Multiple Choice Which is not a natural number?
2 pts
A. 8
B. 0
C. 1
D. 5
Answer: B. 0
17.
Multiple Choice Which of the following is true: 13 - 8 = 8 - 13?
2 pts
A. True
B. False
Answer: B. False
18.
Multiple Choice What property is used here: 64 × 12 + 64 × 14?
2 pts
A. Distributive
B. Commutative
C. Associative
D. Identity
Answer: A. Distributive
19.
Multiple Choice Identify the property: 102 × 6 = 6 × 102
2 pts
A. Commutative
B. Identity
C. Distributive
D. Associative
Answer: A. Commutative
20.
Multiple Choice Find the sum of predecessors of 84,636 and 90,025.
2 pts
A. 1,74,662
B. 1,74,661
C. 1,74,669
D. 1,74,659
Answer: B. 1,74,661
21.
Fill in the Blank The _____ identity of whole numbers is 1.
2 pts
Answer: multiplicative
22.
Fill in the Blank The _____ property states that a + b = b + a.
2 pts
Answer: commutative
23.
Fill in the Blank The property a × (b + c) = a × b + a × c is called the _____ property.
2 pts
Answer: distributive
24.
Fill in the Blank Zero is the _____ identity for addition of whole numbers.
2 pts
Answer: additive
25.
Fill in the Blank Whole numbers include all of the natural numbers and _____
2 pts
Answer: zero
26.
Fill in the Blank The successor of a number is found by adding _____ to it.
2 pts
Answer: one
27.
Fill in the Blank A _____ number has no successor in whole numbers.
2 pts
Answer: greatest
28.
Fill in the Blank Whole numbers are not _____ under subtraction.
2 pts
Answer: closed
29.
Fill in the Blank The _____ of zero is undefined.
2 pts
Answer: division
30.
Fill in the Blank The set of whole numbers is _____ and infinite.
2 pts
Answer: ordered
31.
Word Problem A train travels at 60 km/h for 2.5 hours. How far does it travel? Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Distance = Speed × Time
Step 2: Distance = 60 × 2.5
Answer: 150 km
32.
Word Problem Calculate the sum: 703 + 768 + 297 + 322 by grouping them.
5 pts
Working:
Answer:
Worked Solution:
Step 1: (703 + 297) + (768 + 322)
Step 2: 1000 + 1090
Answer: 2090
33.
Word Problem What is the product of 102 and 6 using distributive property?
5 pts
Working:
Answer:
Worked Solution:
Step 1: 102 × 6 = (100 + 2) × 6
Step 2: (100 × 6) + (2 × 6)
Answer: 600 + 12 = 612
34.
Word Problem If 13 is added to a number and the result is 30, what is the number?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Let the number be x.
Step 2: x + 13 = 30
Step 3: x = 30 - 13
Answer: x = 17
35.
Word Problem Eva buys 15 notebooks, each costing $3. Find the total amount spent.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Total cost = Number of notebooks × Cost per notebook
Step 2: Total cost = 15 × 3
Answer: $45
36.
Word Problem Find the product of the greatest 3-digit number and the greatest 2-digit number.
5 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: 98901
37.
Word Problem If Amal earns $30 per day, calculate his earnings for 7 days.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Earnings per day = $30
Step 2: Total earnings = 7 × 30
Answer: $210
38.
Word Problem A rectangle has sides of length 8 and 6. Find the area.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Area = Length × Width
Step 2: Area = 8 × 6
Answer: 48 square units
39.
Word Problem Find the total cost: 15 litres of milk at $30 per litre in a week.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Daily cost = 15 × 30
Step 2: Weekly cost = Daily cost × 7
Answer: $3150
40.
Word Problem Raman spends $150 daily on travel. Calculate his total expense for 30 days.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Daily expense = $150
Step 2: Monthly expense = Daily expense × 30
Answer: $4500
40
Total Questions
100
Total Points
~35
Minutes