How many practice questions are available for Number Play?

SparkEd Math offers 60+ practice questions for Number Play 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 Number Play content free on SparkEd Math?

Yes! All Number Play 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 Number Play differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Number Play 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 Number Play content aligned with the CBSE syllabus?

Yes, all Number Play questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 6. The content follows the official curriculum structure and exam pattern.

Number Play — Class 6 CBSE (2025-26)

About Number Play — Class 6 CBSE

Investigate number properties, place value, estimation, and number puzzles. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 3). On this page you can practice 58 questions across three difficulty levels — 20 easy, 20 medium, and 18 hard — each with a visual step-by-step solution, plus a timed 33-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Number Play

Knowing Our Numbers: Place Value and Large Numbers
Estimation: Making Smart Guesses
Roman Numerals: Numbers from Ancient Rome
Forming Numbers: Playing with Digits
Number Puzzles & Properties: Building Blocks for Future Math

Interactive lesson · about 15 minutes · checkpoint question after every unit

Number Play — solved examples for Class 6 CBSE

Example 1easy

The greatest 4-digit number that can be formed using the digits 7, 0, 8, 3 exactly once is:

A)8730
B)8703
C)8370
D)7830

Step-by-step solution

To form the greatest number using given digits, place the largest digit at the thousands place, the next largest at the hundreds place, and so on.
The given digits are 7, 0, 8, 3. The largest digit is 8.
Arranging them in descending order: 8, 7, 3, 0.
Therefore, the greatest 4-digit number is 8730.

Answer: 8730

Example 2medium

How many factors does the number 48 have?

A)8
B)9
C)10
D)12

Step-by-step solution

List pairs of numbers whose product is 48: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8).
The unique factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Count the total number of factors. There are 10 factors.

Answer: 10

Example 3hard

A 7-digit number is formed using all digits from 1 to 7 exactly once. The digit at the hundreds place is 3 times the digit at the tens place. The digit at the lakhs place is the smallest odd digit. What is the sum of the digits at the thousands and ten thousands place if the number is the largest possible?

A)7
B)8
C)9
D)10

Step-by-step solution

The digits available are {1, 2, 3, 4, 5, 6, 7}.
The digit at the lakhs place is the smallest odd digit, which is 1. So, Lakhs = 1.
The digit at the hundreds place is 3 times the digit at the tens place. Possible pairs from remaining digits are (Tens=1, Hundreds=3) or (Tens=2, Hundreds=6). Since digit 1 is already used for lakhs, the only valid pair is Tens=2 and Hundreds=6.
Used digits: 1 (Lakhs), 2 (Tens), 6 (Hundreds). Remaining digits: {3, 4, 5, 7}. To form the largest possible number, place the largest remaining digits in the highest available places: Ten Lakhs = 7, Ten Thousands = 5, Thousands = 4, Units = 3. The number is 75,14,623. The sum of digits at Thousands (4) and Ten Thousands (5) is 4 + 5 = 9.

Answer: 9

Practice questions on Number Play

Q1.easy
In the number 5,34,892 (Indian System), what is the difference between the place value of the digit '3' and the face value of the digit '9'?
1. A)30000
2. B)29991
3. C)30083
4. D)2991
Show answer
Answer: 29991
Hint: Remember that place value depends on the position of the digit, while face value is just the digit itself.
Q2.easy
Which of the following numbers represents 'Seventy-five million two hundred nine thousand four hundred sixteen' in the International System of Numeration?
1. A)75,209,416
2. B)7,52,09,416
3. C)752,094,160
4. D)75,20,94,160
Show answer
Answer: 75,209,416
Hint: Recall the grouping of digits in the International System: ones, thousands, millions, where each group has three digits.
Q3.easy
Round off the number 2,387 to the nearest hundred.
1. A)2300
2. B)2400
3. C)2390
4. D)2000
Show answer
Answer: 2400
Hint: Look at the digit in the tens place to decide whether to round up or down to the nearest hundred.
Q4.medium
Ravi said, 'Every number divisible by 3 is also divisible by 9.' Is Ravi's statement correct? If not, give an example.
1. A)Yes, Ravi is correct.
2. B)No, Ravi is incorrect. For example, 12 is divisible by 3 but not by 9.
3. C)No, Ravi is incorrect. For example, 27 is divisible by 9 but not by 3.
4. D)Yes, but only for even numbers.
Show answer
Answer: No, Ravi is incorrect. For example, 12 is divisible by 3 but not by 9.
Hint: Recall the divisibility rules for 3 and 9. What is the difference between them?
Q5.medium
Which of the following statements about prime and composite numbers is true?
1. A)The number 1 is a prime number.
2. B)The smallest composite number is 2.
3. C)Every even number greater than 2 is a composite number.
4. D)All odd numbers are prime numbers.
Show answer
Answer: Every even number greater than 2 is a composite number.
Hint: Carefully recall the definitions of prime and composite numbers, and consider the number 2 as a special case.
Q6.medium
A bus leaves the station every 15 minutes. If the first bus leaves at 6:00 AM, at which of the following times will a bus definitely NOT leave the station?
1. A)6:45 AM
2. B)7:15 AM
3. C)7:30 AM
4. D)7:40 AM
Show answer
Answer: 7:40 AM
Hint: The bus departure times will be multiples of 15 minutes past 6:00 AM.
Q7.hard
A factory produced a certain number of toys. When the number of toys was rounded off to the nearest hundred, the result was 15,300. When the same number was rounded off to the nearest ten, the result was 15,290. What is the smallest possible number of toys the factory could have produced?
1. A)15285
2. B)15290
3. C)15250
4. D)15294
Show answer
Answer: 15285
Hint: Determine the range of numbers that would round to 15,300 for the nearest hundred, and then the range for 15,290 for the nearest ten. Find the overlap.
Q8.hard
Evaluate the following expression: (DCCLIX - CDXLV) + (MCMLXXXIV / IV).
1. A)790
2. B)810
3. C)800
4. D)780
Show answer
Answer: 810
Hint: First, convert all Roman numerals to their Hindu-Arabic equivalents. Then, perform the arithmetic operations following the order of operations.
Q9.hard
Which of the following statements is TRUE for all non-zero whole numbers a, b, and c?
1. A)a - (b + c) = (a - b) + c
2. B)a × (b + c) = (a × b) + (a × c)
3. C)a - (b - c) = (a - b) - c
4. D)a ÷ (b ÷ c) = (a ÷ b) ÷ c
Show answer
Answer: a × (b + c) = (a × b) + (a × c)
Hint: Recall the fundamental properties of whole numbers: closure, commutativity, associativity, and distributivity. Test each statement with simple non-zero whole numbers to find a counterexample if it's false.

These are 9 of the 58 questions available for Number Play. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.