Number Play
CBSE · Class 8 · Mathematics
Most important questions from Number Play for CBSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
Which expressions always give an even number for any integer values?
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2a + 4b, 6m + 8n, 4p + 2q
An expression is always even if all terms have even coefficients: 2a + 4b = 2(a + 2b), 6m + 8n = 2(3m + 4n), 4p + 2q = 2(2p + q). The expressions 3x + 5y and x² + 2 can be odd depending on the values.
A number leaves remainder 3 when divided by 5. Which algebraic expressions represent such numbers?
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5k + 3, 5k - 2, 5k + 8
Numbers with remainder 3 when divided by 5: 5k + 3 (3 more than multiple of 5), 5k - 2 (2 less than multiple of 5), 5k + 8 = 5k + 5 + 3 = 5(k+1) + 3. The expression 3k + 5 doesn't follow this pattern.
If two even numbers add to give a multiple of 4, what types of even numbers must they be?
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Both multiples of 4 OR both not multiples of 4
For sum to be multiple of 4: (4a) + (4b) = 4(a+b), or (4a+2) + (4b+2) = 4(a+b+1). When one is multiple of 4 and other isn't: 4a + (4b+2) = 4(a+b) + 2, which leaves remainder 2.
Solve the cryptarithm: AB × 5 = BC (where A, B, C are different digits)
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A=1, B=8, C=0
AB × 5 = BC means (10A + B) × 5 = 10B + C. Expanding: 50A + 5B = 10B + C, so 50A = 5B + C. For A=1, B=8: 50 = 40 + 10, so C=0. Check: 18 × 5 = 90. ✓
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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