0580/23 Oct/Nov 2021, Question 11: Rearranging Complex Formulas
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 5 marks
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The question, in short
For the formula P = M(g² + h²), work out P from given values, then make g the subject of the equation.
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Part (a) · 2 marks
Substitute M = 100, g = 3 and h = 4.5 into the formula and calculate the resulting value of P.
- 1P = 100(3² + 4.5²)
- 2= 100(9 + 20.25) = 100 × 29.25
- 3P = 2925
Answer2925
Part (b) · 3 marks
Rearrange P = M(g² + h²) so that g is expressed using P, M and h.
- 1P/M = g² + h²
- 2g² = P/M − h²
- 3g = ±√(P/M − h²)
Answer±√(P/M − h²) or ±√((P − Mh²)/M)
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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 11.
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