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Playing with Numbers Practice Questions

Class 8 · Mathematics · 859 free MCQs with instant results and detailed explanations.

859
Total
300
Easy
407
Medium
152
Hard

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Topics in Playing with Numbers

General Form of Numbers 311
Divisibility Tests 345
Number Puzzles 203

Sample Questions from Playing with Numbers

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
If the number 256 is expressed as a product of its prime factors, what would be the result?
A. 2^8
B. 4^4
C. 16^2
D. 8^3
Show Answer & Explanation
Correct Answer: A
The prime factorization of 256 is 2 multiplied by itself 8 times, which is 2^8. All other options can be expressed in terms of 2, but only option A directly represents the prime factorization.
Q2
Easy
What is the sum of the digits of the number 458?
A. 17
B. 15
C. 14
D. 13
Show Answer & Explanation
Correct Answer: A
The sum of the digits 4 + 5 + 8 equals 17.
Q3
Easy
Which of the following numbers is an even number?
A. 23
B. 32
C. 15
D. 49
Show Answer & Explanation
Correct Answer: B
32 is divisible by 2, making it an even number.
Q4
Medium
What is the next number in the series: 2, 4, 8, 16, ...?
A. 32
B. 24
C. 20
D. 30
Show Answer & Explanation
Correct Answer: A
The series is formed by multiplying the previous term by 2. 16 * 2 = 32.
Q5
Medium
If a number is divided by 5, the remainder is 3. What could be the number?
A. 13
B. 18
C. 28
D. 33
Show Answer & Explanation
Correct Answer: A
A number that gives a remainder of 3 when divided by 5 can be expressed as 5k + 3; thus, 13 fits this as it's 5*2 + 3.
Q6
Medium
Which of the following numbers is a perfect square?
A. 48
B. 64
C. 50
D. 72
Show Answer & Explanation
Correct Answer: B
64 is a perfect square because it can be expressed as 8 x 8.
Q7
Medium
What is the greatest common divisor (GCD) of 36 and 60?
A. 12
B. 15
C. 18
D. 24
Show Answer & Explanation
Correct Answer: A
The GCD of 36 and 60 is 12, as it is the largest number that divides both without a remainder.
Q8
Hard
What is the largest number that can be formed using the digits 5, 2, 8, and 1 without repetition?
A. 8521
B. 8215
C. 8152
D. 5821
Show Answer & Explanation
Correct Answer: A
To form the largest number, arrange the digits in descending order: 8, 5, 2, 1 gives 8521.
Q9
Hard
Which of the following numbers cannot be formed using the digits 1, 2, 3, and 4 exactly once?
A. 3214
B. 4123
C. 2143
D. 12345
Show Answer & Explanation
Correct Answer: D
The number 12345 has the digit '5' which is not part of the given digits.
Q10
Hard
Which of the following is NOT a perfect square?
A. 49
B. 64
C. 72
D. 36
Show Answer & Explanation
Correct Answer: C
The number 72 is not a perfect square since it cannot be expressed as the square of an integer.

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Playing with Numbers — Class 8 Mathematics Practice Questions Online

This page contains 859 practice MCQs for the chapter Playing with Numbers in Class 8 Mathematics. The questions are organized by difficulty — 300 easy, 407 medium, 152 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.