Free TMUA sample

Algebra and functions

Topic practice · Paper 1 · Foundation

This free ExamAlly page is a TMUA algebra and functions practice question for students preparing for the TMUA (Test of Mathematics for University Admission). Use it to check your understanding of Algebra and functions, attempt every option under light time pressure, then read the full worked solution.

Independent practice material, not affiliated with official TMUA organisers.

Matching revision guide: Read the Algebra & functions TMUA revision guide

Let x>0x>0 and suppose x1/3+x1/3=5.x^{1/3}+x^{-1/3}=5. What is the value of x2/3+x2/3?x^{2/3}+x^{-2/3},?