How many practice questions are available for Whole Numbers?

SparkEd Math offers 60+ practice questions for Whole Numbers across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Whole Numbers content free on SparkEd Math?

Yes! All Whole Numbers content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Whole Numbers differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Whole Numbers problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Whole Numbers content aligned with the Olympiad syllabus?

Yes, all Whole Numbers questions and lessons on SparkEd Math are fully aligned with the Mathematical Olympiad Preparation (Olympiad) syllabus for Class 6. The content follows the official curriculum structure and exam pattern.

Whole Numbers — Class 6 Olympiad (2025-26)

About Whole Numbers — Class 6 Olympiad

Explore properties of whole numbers, number patterns, and apply distributive, associative, and commutative laws in creative problem solving. This topic is part of the Olympiad Class 6 mathematics syllabus (chapter: Module 2). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

Whole Numbers — solved examples for Class 6 Olympiad

Example 1easy

A school decided to buy new chairs for its 12 classrooms. Each classroom needs 25 chairs. If each chair costs ₹198, which expression correctly uses the distributive property to find the total cost?

A)(12 + 25) × 198
B)12 × (200 - 2)
C)(12 × 25) × 198
D)12 × 25 × (200 - 2)

Step-by-step solution

Total number of chairs needed = Number of classrooms × Chairs per classroom = 12 × 25.
Total cost = Total chairs × Cost per chair = (12 × 25) × 198.
To apply the distributive property to 198, we can write 198 as (200 - 2).
So, the expression becomes (12 × 25) × (200 - 2) which is 12 × 25 × (200 - 2).

Answer: 12 × 25 × (200 - 2)

Example 2medium

Consider a whole number 'P'. Its successor is 100 less than the product of 25 and 40. What is the predecessor of 'P'?

A)897
B)898
C)899
D)900

Step-by-step solution

The product of 25 and 40 is 25 × 40 = 1000.
The successor of P is 100 less than 1000, so successor of P = 1000 - 100 = 900.
If the successor of P is 900, then P itself must be 899 (since P + 1 = 900).
The predecessor of P is P - 1. So, the predecessor of 899 is 899 - 1 = 898.

Answer: 898

Example 3hard

Consider the expression: 12345 × 999 - 12345 × 998. What is the sum of the digits of the resulting value?

A)15
B)10
C)20
D)5

Step-by-step solution

Identify the common factor, which is 12345, in both terms of the expression.
Apply the distributive property: a × b - a × c = a × (b - c). So, 12345 × 999 - 12345 × 998 = 12345 × (999 - 998).
Simplify the expression: 12345 × (1) = 12345.
Calculate the sum of the digits of 12345: 1 + 2 + 3 + 4 + 5 = 15.

Answer: 15

Practice questions on Whole Numbers

Q1.easy
Consider the sum: 47 + 98 + 53 + 102. Which of the following shows the most efficient way to group the numbers to find the sum quickly, using the associative property?
1. A)(47 + 98) + (53 + 102)
2. B)47 + (98 + 53) + 102
3. C)(47 + 53) + (98 + 102)
4. D)47 + 98 + 53 + 102 (adding left to right)
Show answer
Answer: (47 + 53) + (98 + 102)
Hint: Look for pairs of numbers that add up to a multiple of 10 or 100 to make mental addition easier.
Q2.easy
Which of the following statements is NOT always true for any whole number 'p'?
1. A)p + 0 = p
2. B)p × 1 = p
3. C)p - 0 = p
4. D)0 - p = p
Show answer
Answer: 0 - p = p
Hint: Recall the identity elements for addition and multiplication. Consider what happens when you subtract a larger number from a smaller number, especially zero.
Q3.easy
Observe the pattern: 1, 4, 9, 16, 25, ... What is the 7th number in this sequence?
1. A)36
2. B)49
3. C)56
4. D)64
Show answer
Answer: 49
Hint: Look at the relationship between each number's position in the sequence and its value. Think about perfect squares.
Q4.medium
On a number line, point A is at 15. Point B is 7 units to the right of A. Point C is 12 units to the left of B. Point D is 9 units to the right of C. What is the distance between point A and point D?
1. A)0 units
2. B)4 units
3. C)7 units
4. D)19 units
Show answer
Answer: 4 units
Hint: Carefully track the position of each point on the number line relative to the previous one.
Q5.medium
To quickly compute 25 × 37 × 4, which property of whole numbers allows you to rearrange the numbers to simplify the calculation significantly?
1. A)Associative Property of Multiplication
2. B)Distributive Property
3. C)Commutative Property of Multiplication
4. D)Closure Property of Multiplication
Show answer
Answer: Commutative Property of Multiplication
Hint: Consider which property allows you to change the order of numbers in a multiplication operation.
Q6.medium
A student is asked to calculate 50 × (2 × 17). He prefers to calculate (50 × 2) × 17 instead. Which property of whole numbers justifies this change in grouping without changing the result?
1. A)Commutative Property of Multiplication
2. B)Distributive Property
3. C)Associative Property of Multiplication
4. D)Multiplicative Identity
Show answer
Answer: Associative Property of Multiplication
Hint: Think about the property that allows you to change the grouping of numbers in multiplication without affecting the final product.
Q7.hard
A student calculates the sum S = 1 + 2 - 3 + 4 + 5 - 6 + 7 + 8 - 9 + ... up to 30 terms. What is the value of S?
1. A)130
2. B)135
3. C)140
4. D)145
Show answer
Answer: 135
Hint: Group the terms strategically to reveal a simpler pattern in the sums of the groups, then sum these group totals.
Q8.hard
Consider the sequence: 1, 3, 7, 15, 31, ... What is the 9th term in this sequence?
1. A)127
2. B)255
3. C)511
4. D)1023
Show answer
Answer: 511
Hint: Analyze the relationship between consecutive terms. Is there a consistent operation or a power involved?
Q9.hard
A farmer has a certain number of eggs. On Monday, he sells half of his eggs and gives one extra egg to a neighbor. On Tuesday, he sells half of the remaining eggs and gives two extra eggs to another neighbor. On Wednesday, he sells half of the remaining eggs and gives three extra eggs to a third neighbor. If he is left with exactly 4 eggs, how many eggs did he have initially?
1. A)60
2. B)62
3. C)64
4. D)66
Show answer
Answer: 66
Hint: Start from the end and reverse each operation to find the initial number of eggs.

These are 9 of the 60 questions available for Whole Numbers. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.