Number Play — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 5
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 5, "Number Play". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Number Play", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Number Play, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Number Play — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation.
- Q1Easy
A number is divisible by 2 if its units digit is:
A.1, 3, 5, 7 or 9B.0 or 5C.0, 2, 4, 6 or 8✓ CorrectD.any digitAnswer: C. 0, 2, 4, 6 or 8
Explanation: The divisibility-by-2 rule checks only the units digit: it must be even — 0, 2, 4, 6 or 8. Digits like 1, 3, 5, 7 or 9 make a number odd, not divisible by 2.
- Q2Easy
Which of these numbers is a multiple of 8?
A.56✓ CorrectB.58C.60D.54Answer: A. 56
Explanation: 56 = 8 × 7, so 56 is a multiple of 8. 58, 60 and 54 are not — none divides evenly by 8, e.g. 60 ÷ 8 = 7.5.
- Q3Easy
A number is divisible by 5 if its units digit is:
A.0 onlyB.5 onlyC.0 or 5✓ CorrectD.0, 2, 4, 6 or 8Answer: C. 0 or 5
Explanation: The divisibility-by-5 rule checks only the units digit: a number is divisible by 5 only when it ends in 0 or 5. Any other units digit, like 3, means 5 does not divide it evenly.
- Q4Easy
The first four multiples of 6 are:
A.6, 12, 18, 24✓ CorrectB.1, 2, 3, 6C.6, 16, 26, 36D.6, 12, 24, 48Answer: A. 6, 12, 18, 24
Explanation: Multiples of a number n are n×1, n×2, n×3, … For n = 6: 6×1=6, 6×2=12, 6×3=18, 6×4=24. Skipping ahead unevenly, like 6, 16, 26, 36, is not how multiples work.
- Q5Easy
A number is divisible by 10 if its units digit is:
A.0✓ CorrectB.5C.1D.0 or 5Answer: A. 0
Explanation: Divisibility by 10 needs a units digit of 0 exactly — 10 = 2 × 5, so an even digit and a 5 must combine, which only happens at 0. Ending in 5 alone, like 15, is not enough.
- Q6Easy
Is 7 a factor of 42?
A.NoB.Yes, 42 = 7 × 6✓ CorrectC.Only sometimesD.7 is a multiple of 42Answer: B. Yes, 42 = 7 × 6
Explanation: 7 is a factor of 42 because 42 = 7 × 6 divides exactly with no remainder. A factor must divide the number completely — 42 is a multiple of 7, not the other way round.
- Q7Medium
Is 462 divisible by 6?
A.NoB.Only by 2C.Yes✓ CorrectD.Only by 3Answer: C. Yes
Explanation: 462 is even (ends in 2) and its digit sum 4+6+2 = 12 is a multiple of 3, so it passes both tests for 6 = 2×3 and is divisible by 6.
- Q8Medium
Is 0 a multiple of 7?
A.Yes, 0 = 7 × 0✓ CorrectB.NoC.Only of even numbersD.0 is a factor of 7Answer: A. Yes, 0 = 7 × 0
Explanation: 0 = 7 × 0 divides exactly, so 0 counts as a multiple of 7 — and of every number, since n × 0 = 0 always. It is not correct to say 0 has no multiples.
- Q9Medium
What is the remainder when 47 is divided by 5?
A.3B.2✓ CorrectC.1D.0Answer: B. 2
Explanation: 47 = 5 × 9 + 2, so dividing 47 by 5 leaves remainder 2. A remainder must always be smaller than the divisor 5, which rules out larger guesses like 3.
- Q10Medium
Is 1332 divisible by 4?
A.NoB.Only by 2C.Yes✓ CorrectD.Only by 3Answer: C. Yes
Explanation: For divisibility by 4, check only the last two digits: 32. Since 32 = 4 × 8, 1332 is divisible by 4 — the earlier digits 1 and 3 do not matter.
- Q11Medium
What is the remainder when 100 is divided by 7?
A.2✓ CorrectB.3C.1D.4Answer: A. 2
Explanation: 100 = 7 × 14 + 2, so dividing 100 by 7 leaves remainder 2. The remainder must be smaller than the divisor 7, ruling out guesses like 3 or 4 from a subtraction slip.
- Q12Hard
The quick rule for divisibility by 11 uses:
A.the sum of all the digitsB.the difference of the sums of alternate digits✓ CorrectC.the last two digitsD.the units digit onlyAnswer: B. the difference of the sums of alternate digits
Explanation: The rule for 11 splits the digits into two alternating groups, sums each group, and checks whether the difference is 0 or a multiple of 11 — not the total digit sum used for 3 and 9.
- Q13Hard
In the cryptarithm A1 + 1B = B0 (different letters mean different digits), B is:
A.0B.1C.9✓ CorrectD.8Answer: C. 9
Explanation: In A1 + 1B = B0, the units column needs 1+B to end in 0, so B = 9 (carrying 1). Then the tens column A+1+1 = 9 gives A = 7, confirming 71 + 19 = 90.
- Q14Hard
A number leaves remainder 8 when divided by 12, and a second number is 4 short of a multiple of 12. Is their sum always a multiple of 8?
A.No, not always✓ CorrectB.Yes, alwaysC.Yes, always a multiple of 12D.Only if both are evenAnswer: A. No, not always
Explanation: Both numbers leave remainder 8 when divided by 12, so their sum is 12(a+b) + 16, which is a multiple of 8 only when a+b is even — so it is not always a multiple of 8.
Key concepts: Number Play (Class 8 Mathematics)
This chapter is about the hidden structure of whole numbers: multiples, factors and quick tests for divisibility. You revisit the rules for 2, 5 and 10 (units digit), learn the digit-sum rules for 3 and 9, the last-digits rules for 4 and 8, and the alternating-sum rule for 11 — and see with place value why each rule works. It ends with cryptarithms, puzzles where letters stand for digits and clever reasoning about remainders and units digits cracks the code.
- Multiple
- A number obtained by multiplying a given number by a whole number: the multiples of 6 are 6, 12, 18, 24, … Every number is a multiple of 1 and of itself.
- Factor
- A number that divides another exactly, leaving no remainder. 7 is a factor of 42 because 42 = 7 × 6; a prime has exactly two factors.
- Divisibility by 2, 5, 10
- Decided by the units digit alone: divisible by 2 if it ends in 0, 2, 4, 6 or 8; by 5 if it ends in 0 or 5; by 10 only if it ends in 0.
- Divisibility by 3 and 9
- Add the digits: the number is divisible by 3 if the digit sum is a multiple of 3, and by 9 if the digit sum is a multiple of 9.
- Divisibility by 4 and 8
- Since 100 is a multiple of 4 and 1000 a multiple of 8, only the last two digits decide divisibility by 4 and the last three decide divisibility by 8.
- Divisibility by 11
- Add the digits in alternate places and subtract the two sums; the number is divisible by 11 if this difference is 0 or a multiple of 11.
- Divisibility by composites
- For a composite like 6, 12 or 15, check its coprime parts: divisible by 6 means by 2 and 3, by 12 means by 3 and 4, by 15 means by 3 and 5.
- Remainder
- What is left over after dividing: 47 ÷ 5 leaves 2, since 47 = 5 × 9 + 2. Adding the divisor to a number keeps the remainder the same.
- Why the rules work
- Place values above the units are multiples of 10, and each power of 10 leaves a fixed remainder (1 for 9, ±1 for 11), which is exactly why the digit tests work.
- Cryptarithms
- Puzzles in which each letter stands for a single digit, different letters mean different digits, and a leading digit is never 0 — solved by reasoning about units digits and sizes.
- Digit-sum invariance
- Reversing or rearranging the digits of a number keeps its digit sum unchanged, so a multiple of 9 stays a multiple of 9 when its digits are reversed.
Start this chapter free
You have 14 solved above. Sign in with Google (no card needed). You get 1 Easy + 1 Medium quiz on every chapter during your 30-day trial. After that, you keep 1 Easy quiz on every chapter, free for good, plus the formulas & exam tips.
This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start this chapter free →Number Play — FAQs
What are the key concepts in Class 8 Mathematics Number Play?+
This chapter is about the hidden structure of whole numbers: multiples, factors and quick tests for divisibility. You revisit the rules for 2, 5 and 10 (units digit), learn the digit-sum rules for 3 and 9, the last-digits rules for 4 and 8, and the alternating-sum rule for 11 — and see with place value why each rule works. It ends with cryptarithms, puzzles where letters stand for digits and clever reasoning about remainders and units digits cracks the code. Key ideas include Multiple, Factor, Divisibility by 2, 5, 10, Divisibility by 3 and 9, Divisibility by 4 and 8, Divisibility by 11.
What does Class 8 Mathematics Chapter 5 (Number Play) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Number Play": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Number Play" questions free to practise?+
Yes. Sign in with Google to practise "Number Play" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Number Play" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Number Play" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Number Play" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Number Play (Class 8 Mathematics)?+
The questions that matter most test Multiple, Factor, Divisibility by 2, 5, 10, Divisibility by 3 and 9, Divisibility by 4 and 8, Divisibility by 11. This page shows 14 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Number Play?+
Yes — Class 8 Mathematics Number Play has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.