0580/22 May/Jun 2026, Question 6: Substitution and rearranging formulas
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 5 marks
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The question, in short
A formula is E = 5c² − d². Evaluate E for given values, then make c the subject.
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Part (a) · 2 marks
Find E when c = √18 and d = 2.
- 1c² = 18
- 2E = 5 × 18 − 2²
- 3= 90 − 4 = 86
Answer86
Part (b) · 3 marks
Rearrange to give c in terms of E and d.
- 1E + d² = 5c²
- 2c² = (E + d²)/5
- 3c = √((E + d²)/5)
Answerc = √((E + d²)/5)
Stuck on a step? Read the free lesson: Rearranging Formulas
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Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 6.
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