Built for Singapore MOE syllabuses · 2026 (PSLE → A-Levels)

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O-Level A-Maths
Worked example
Question
Differentiate y = (2x − 3)⁵. Hence, find dy/dx when x = 2.
1
Use chain rule
Let u = 2x − 3. Then y = u⁵. So dy/dx = (dy/du) · (du/dx).
2
Differentiate
dy/du = 5u⁴ and du/dx = 2. Hence dy/dx = 10(2x − 3)⁴.
3
Substitute x = 2
dy/dx = 10(2·2 − 3)⁴ = 10(1)⁴ = 10.
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O-Level Biology · 6093
Student’s answer
“Water moves from the soil into the root hair cell because there is more water outside.”
AskCher keyword check
Conceptually right, but MOE requires: osmosis water potential gradient partially permeable membrane
Full-mark answer
“Water moves by osmosis from the soil (higher water potential) to the root hair cell (lower water potential) down a water potential gradient, through the partially permeable membrane.”
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