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# Pure Math III Past Papers

## Paper 32 Feb March 2017 Pure Math III – 9709/32/F/M/17

Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1.     Solve the equation $\ \ln(1+2^{x}) = 2$, giving your answer correct to 3 decimal places. $$\tag*{[3]}$$ 2.     Solve the inequality $\ |x − 4| \lt 2|3x + 1|$. $$\tag*{[4]}$$ 3.   …

## Paper 32 Feb March 2019 Pure Math III – 9709/32/F/M/19

Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1.     (i)     Show that the equation $\ \log_{10} (x \ − \ 4) = 2 \ − \ \log_{10} x \$ can be written as a quadratic equation in $x$. $$\tag*{[3]}$$     …

## Paper 32 Feb Mar 2020 Pure Math III – 9709/32/F/M/20

1.     (a)     Sketch the graph of $y \ = \ |x \ – \ 2|.$ $$\tag*{[1]}$$         (b)     Solve the inequality $|x \ – \ 2| \ < \ 3x \ - \ 4.$ $$\tag*{[3]}$$ Check here for my solution …

## Paper 31 Oct Nov 2020 Pure Math III – 9709/31/O/N/20

1.       Solve the inequality $$\ 2 \ – \ 5x \ > \ 2|x \ – \ 3|.$$ $$\tag*{[4]}$$ Check here for my solution 2.       On a sketch of an Argand diagram, shade the region whose points represent complex numbers $z$ satisfying the inequalities  |z| …