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Rearranging formulaeIB MYP Maths Extended: Mind map

What this mind map covers

  • Subject
  • Inverse operations
  • Brackets and fractions
  • Squares and roots
  • Using it
  • Exam tips

Exam questions on Rearranging formulae

  1. A car accelerates in a straight line with constant acceleration aa m/s². It starts at speed uu m/s and has speed vv m/s after tt seconds, where v=u+atv=u+at.
    A car starts at 77 m/s and reaches 2525 m/s with acceleration 33 m/s². Rearrange the formula to make tt the subject and find tt.2 marks
  2. The area AA of a trapezium with parallel sides aa and bb and perpendicular height hh is A=12(a+b)hA=\frac{1}{2}(a+b)h.
    A trapezium has area 4444 cm2^2, height 88 cm and one parallel side a=7a=7 cm. Make bb the subject of the formula and find bb.2 marks
  3. The volume VV of a cone with base radius rr and height hh is V=13πr2hV=\frac{1}{3}\pi r^2h.
    Make rr the subject of the formula.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).