Numerical Application — Flashcards
CBSE · Class 11 · Applied Mathematics
24 flashcards for Numerical Application (CBSE Class 11 Applied Mathematics) to test yourself on key terms and facts.
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What is the formula for calculating average (mean) and what does it represent?
Answer
Average (Mean) = Sum of all observations / Total number of observations Average represents a calculated central value of given data and is a measure of central tendency. It lies between the maximum a…
How is weighted average different from simple average? Give the formula.
Answer
Weighted average considers that some elements carry more weight than others. Weighted Average (x̄w) = Σⁿᵢ₌₁ wᵢxᵢ / Σⁿᵢ₌₁ wᵢ where wᵢ = weight of iᵗʰ element, xᵢ = value of iᵗʰ element Example: Grad…
What is the key difference between average speed and average velocity?
Answer
Average Speed = Total distance travelled / Total time taken (direction independent) Average Velocity = Total displacement / Total time taken (direction dependent) Key difference: Average speed canno…
What are odd days and how do you calculate them?
Answer
Odd Days = Extra days left after exact number of weeks For example: 31 days = 4 weeks + 3 days, so 3 odd days Ordinary year = 365 days = 52 weeks + 1 day → 1 odd day Leap year = 366 days = 52 weeks …
What is the speed of hour hand and minute hand in a clock?
Answer
Hour Hand Speed = 30° per hour = 0.5° per minute Minute Hand Speed = 360° per hour = 6° per minute The minute hand is 12 times faster than the hour hand.
How many times do minute and hour hands coincide in a day?
Answer
22 times in a day They coincide every 12/11 hours = 65 5/11 minutes ≈ 65.45 minutes They don't coincide between 11 o'clock to 12 o'clock (this happens twice in 24 hours), so 24 - 2 = 22 times.
What is the formula to find the angle between clock hands at any given time?
Answer
A = |30H + m/2 - 6m| = |30H - 11m/2| where H = hours, m = minutes Alternatively: T = (2/11)(H × 30° ± A) where T = time in minutes, A = angle between hands…
How do you determine if a year is a leap year?
Answer
A year is a leap year if: 1. It is divisible by 4 2. For century years (ending in 00), it must be divisible by 400 Examples: 2020 is leap year (divisible by 4) 2000 is leap year (divisible by 400) 19…
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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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