Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Solve the inequality $|2x \ + \ 3| \gt 3|x \ + \ 2|$. $$\tag*{[4]} $$ 2. On a sketch of an Argand diagram, shade the region whose points represent complex numbers $z$ satisfying the …
Paper 32 Feb March 2022 Pure Math III – 9709/32/F/M/22 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Two fair coins are thrown at the same time. The random variable $X$ is the number of throws of the two coins required to obtain two tails at the same time. (a) Find …
Paper 51 Oct Nov 2021 Probability & Statistics I – 9709/51/O/N/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. The graph of $ y = \mathrm{f}(x)$ is transformed to the graph of $y = 3 \ − \ \mathrm{f}(x)$. Describe fully, in the correct order, the two transformations that have been combined. $$\tag*{[4]} …
Paper 13 Oct Nov 2021 Pure Math I – 9709/13/O/N/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. The heights in cm of 160 sunflower plants were measured. The results are summarised on the following cumulative frequency curve. (a) Use the graph to estimate the number of plants with …
Paper 53 May June 2021 Probability & Statistics I – 9709/53/M/J/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Expand ${(1 \ + \ 3x)}^{\frac{2}{3}}$ in ascending powers of $x$, up to and including the term in $x^3$, simplifying the coefficients. $$\tag*{[4]} $$ 2. Solve the equation $4^x = 3 \ + \ {4}^{−x}$. …
Paper 33 May June 2021 Pure Math III – 9709/33/M/J/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Solve the inequality $|2x \ − \ 1| \lt 3|x \ + \ 1|$. $$\tag*{[4]} $$ 2. On a sketch of an Argand diagram, shade the region whose points represent complex numbers z satisfying the …
Paper 32 May June 2021 Pure Math III – 9709/32/M/J/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Solve the inequality $2|3x \ − \ 1| \lt |x \ + \ 1|$. $$\tag*{[4]} $$ 2. Find the real root of the equation $ {\large \frac{ 2{\mathrm{e}}^{x} \ + \ \mathrm{e}^{−x} }{ 2 \ …
Paper 31 May June 2021 Pure Math III – 9709/31/M/J/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. (a) Express $16x^2 \ − \ 24x \ + \ 10 $ in the form $(4x + a)^2 \ + \ b$. $$\tag*{[2]} $$ (b) It is given that …
Paper 12 May June 2021 Pure Math I – 9709/12/M/J/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Solve the equation $ \ln (x^3 − 3) = 3 \ln x \ − \ \ln 3$. Give your answer correct to 3 significant figures. $$\tag*{[3]} $$ 2. The polynomial $ax^3 + 5x^2 − 4x …
Paper 32 Feb Mar 2021 Pure Math III – 9709/32/F/M/21 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Solve the inequality $ | 2x \ − \ 1| \gt 3 |x \ + \ 2| $. $$\tag*{[4]} $$ 2. Find the exact value of $ \ \displaystyle \int_{0}^{1} (2 \ – \ x) …
Paper 33 May June 2020 Pure Math III – 9709/31/M/J/20 Read More »
