Algebra Play
CBSE · Class 8 · Mathematics
Practice quiz for Algebra Play — CBSE Class 8 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Algebra Play
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A number trick says: think of a number, double it, add 4, divide by 2, and subtract the original number. If the starting number is 7, what is the final result?
In the date trick, the final number is 291. Use the rule 100M + 165 + D to find the date, where M is the month and D is the day.
Mukta reports the date-trick answer as 1390. What date did she start with? Use the rule 100M + 165 + D.
A 2x2 calendar grid has top-left number 18. What is the sum of all four numbers in the grid?
Sample Questions
The sum of the numbers in a 2x2 calendar grid is 52. What is the top-left number?
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9
For a 2x2 calendar grid, the sum is 4a + 16. Set 4a + 16 = 52. Then 4a = 36, so a = 9. The top-left number is 9.
In a number pyramid, the top is 90 and the bottom row is 14, c, and 10, with the middle row values a and b. Find c, a, and b.
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c = 33, a = 47, b = 43
In a number pyramid, each number is the sum of the two numbers below it. So a = 14 + c, b = c + 10, and a + b = 90. Substitute: (14 + c) + (c + 10) = 90. That gives 24 + 2c = 90, so 2c = 66 and c = 33. Then a = 14 + 33 = 47 and b = 33 + 10 = 43.
For the number pyramid with top 60 and bottom row 12, c, 8, what are the values of c, a, and b?
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c = 20, a = 32, b = 28
The pyramid rules give a = 12 + c, b = c + 8, and a + b = 60. So (12 + c) + (c + 8) = 60. This becomes 20 + 2c = 60. Then 2c = 40, so c = 20. After that, a = 12 + 20 = 32 and b = 20 + 8 = 28.
A 2-digit number is written as ab. If the number is reversed to ba and b > a, what is the difference between the reversed number and the original number?
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9(b - a)
The original number is 10a + b and the reversed number is 10b + a. Their difference is (10b + a) - (10a + b) = 9b - 9a = 9(b - a). So it is always divisible by 9.
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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
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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