Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Find the quotient and remainder when $ 6x^4 + x^3 − x^2 + 5x − 6 $ is divided by $ 2x^2 − x + 1$. $$\tag*{[3]} $$ 2. The variables $x$ and …
Paper 32 May June 2020 Pure Math III – 9709/32/M/J/20 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Find the set of values of $ \ x \ $ for which $ \ 2({3}^{1 \ − \ 2x}) \lt 5x $. Give your answer in a simplified exact form. $$\tag*{[4]} $$ 2. (a) …
Paper 31 May June 2020 Pure Math III – 9709/31/M/J/20 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. (a) Find the coefficient of $ \ x^2 \ $ in the expansion of $ \ {(x \ – \ \frac{2}{x})}^{6} $. $$\tag*{[2]} $$ (b) Find the coefficient of …
Paper 12 May June 2020 Pure Math I – 9709/12/M/J/20 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. The coefficient of $ \ x^2 \ $ in the expansion of $ \ (4 + ax) {(1 + \frac{x}{2})}^{6} \ $ is $ \ 3$. Find the value of the constant $ \ a$. $$\tag*{[4]} $$ …
Paper 12 Oct Nov 2019 Pure Math I – 9709/12/O/N/19 Read More »
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 2017 Pure Math III – 9709/32/F/M/17 Read More »
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 March 2019 Pure Math III – 9709/32/F/M/19 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Use logarithms to solve the equation $5^{3−2x} = 4(7^{x})$, giving your answer correct to 3 decimal places. $$\tag*{[4]} $$ 2. Show that $ \displaystyle \int_{0}^{\frac{1}{4}\pi} x^{2} \cos 2x \textrm{d}x = \frac{1}{32}(\pi^{2} \ – \ 8)$. …
Paper 33 May June 2019 Pure Math III – 9709/33/M/J/19 Read More »
Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1. Use the trapezium rule with 3 intervals to estimate the value of $$ \int_{0}^{3} | {2}^{x} \ – \ 4 | \ \textrm{d}x. $$ $$\tag*{[3]} $$ 2. Showing all necessary working, solve the equation $ …
Paper 31 May June 2019 Pure Math III – 9709/31/M/J/19 Read More »
1. The times, $t$ seconds, taken to swim 100 m were recorded for a group of 9 swimmers and were found to be as follows. \begin{align*} 95 \quad 126 \quad 117 \quad 135 \quad 120 \\[2ex] 125 \quad 114 \quad 119 \quad 136 \end{align*} (i) Find the values of …
Paper 61 May June 2019 Probability & Statistics I – 9709/61/M/J/19 Read More »
1. The 40 members of a club include Ranuf and Saed. All 40 members will travel to a concert. 35 members will travel in a coach and the other 5 will travel in a car. Ranuf will be in the coach and Saed will be in the car. In how many ways can …
Paper 52 Feb Mar 2020 Probability & Statistics I – 9709/52/F/M/20 Read More »
