NOTES FOR YOUR NEXT STUDY SESSION
The study blog
Useful routines, worked examples and small ideas that make learning feel more manageable.
CHOOSE YOUR NEXT GUIDE
Which average problem are you solving?
Choose the method that matches your question, then work through the examples.
सवाल में गलत मान है, दो ग्रुप हैं या कोई संख्या जोड़नी है? सही तरीका यहाँ चुनो।
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ScienceCalculate weight using W = mg while keeping mass unchanged between locations. Read the supplied gravity value and check three original worked exercises.
Read article ↗: Mass and Weight on the Moon: Keep Kilograms Separate from Newtons
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ScienceCalculate thin-lens power in dioptres using focal length in metres. Retain converging and diverging signs and check three original numerical exercises.
Read article ↗: Lens Power from Focal Length: Convert Centimetres to Metres and Keep the Sign
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ScienceFind pressure from a normal force and contact area. Convert square centimetres correctly, compare areas and check three original numerical exercises.
Read article ↗: Pressure from Force and Area: Convert the Area Before Dividing
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ScienceSeparate distance from displacement on a return journey. Use a signed number line, check a round-trip example and solve three original practice questions.
Read article ↗: Distance vs Displacement on a Round Trip: Add the Path, Subtract the Positions
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MathsFind a new mean when every observation is multiplied, divided or shifted. See the ax + b rule, its conditions and three fully worked practice…
Read article ↗: Mean After Multiplying or Shifting Every Observation: The ax + b Rule
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MathsCalculate a parametric curve’s slope by dividing time derivatives. Evaluate at the same parameter value, check dx/dt and try three worked exercises.
Read article ↗: Parametric Derivatives: Why dy/dx Equals (dy/dt)/(dx/dt)
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MathsSimplify integrals on symmetric limits using odd and even parts. Check integrability before cancelling and solve three original worked practice questions.
Read article ↗: Definite Integral Symmetry: Use Odd and Even Parts on [−a, a]
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MathsConnect dr/dt and dA/dt for a changing circle using the chain rule. Keep radius and rate separate, track units and check three original worked exercises.
Read article ↗: Related Rates for a Growing Circle: Connect Radius Change to Area Change
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MathsUse integration by parts to integrate a product such as xe^(2x). Choose u and dv, retain constants and check three original worked practice exercises.
Read article ↗: Integration by Parts: Choose u and dv, Then Check the Minus Sign
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MathsChoose u in integration by substitution by matching an inner function with its derivative. Track constants and new limits, then try three worked exercises.
Read article ↗: Integration by Substitution: Match the Inner Function and Its Derivative