Finding the Unknown
CBSE · Class 7 · Mathematics
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Quick Quiz: Finding the Unknown
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A matchstick pattern has the nth position given by 2n + 1 matchsticks. How many matchsticks are there at position 49?
Ranjana’s tile arrangement has 3k + 1 tiles at Step k. If an arrangement uses 100 tiles, which step number is it?
Jahnavi starts with ₹4000 and saves ₹650 per month. Sunita starts with ₹5050 and saves ₹500 per month. After how many months will their savings be equal?
Madhubanti has ₹500 to spend. Snacks cost ₹25 per plate and delivery costs ₹50. If p is the total number of people, which number of people can be served?
Sample Questions
Akash’s final answer in Riyaz’s math trick was 24. After the steps think of a number, subtract 3, multiply by 4, and add 8, what was the starting number?
Show answer
7
Let the number be x. The steps give 4x - 4 = 24. Add 4 to both sides: 4x = 28. Divide by 4: x = 7. So, Akash thought of 7.
Ramesh and Suresh have 60 marbles between them, and Ramesh has 30 more marbles than Suresh. How many marbles does Ramesh have?
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45
Let Suresh have y marbles. Then Ramesh has y + 30 marbles. So, y + (y + 30) = 60. This gives 2y + 30 = 60. Subtract 30: 2y = 30. Divide by 2: y = 15. Ramesh has 15 + 30 = 45 marbles.
Bhāskarāchārya’s horse problem gives the equation 300 + 6x = 10x - 100. What is the price of one horse?
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₹100
Start with 300 + 6x = 10x - 100. Step 1: Add 100 to both sides: 400 + 6x = 10x. Step 2: Subtract 6x from both sides: 400 = 4x. Step 3: Divide by 4: x = 100. So, one horse costs ₹100.
Solve the equation 11y + (-5) = 61 and find the value of y.
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6
Start with 11y + (-5) = 61. Add 5 to both sides: 11y = 66. Divide by 11: y = 6. So, the value of y is 6.
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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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