The Hard Grade 9 Questions Thread 2019

Both of you have made the same (small) mistake in your working. I'll let you both think about it.

Signs are opposite?

Why?

I moved the e1uations to the other side so
0<3x^2 +5x -3
So x > 0.468 instead of x< 0.468?

That's correct now. I don't know how you solved the inequality but if you moved to $-x^2-4$ to the other side then you have to switch the inequality sign around because $-x^2-4$ is negative.

A sequence of numbers is formed by the iterative process

$\displaystyle u_{n+2} = \frac{u_{n+1}}{u_n}$

$u_1 = 2$ and $u_2=6$

Find the value of $u_{2019}$

OK, I'll start on this.

$u_3 = \dfrac{6}{2} = 3$

$u_4 = \dfrac{3}{6} = \dfrac{1}{2}$

$u_5 = \dfrac{1/2}{3} = 1/6$


Come back to me in the morning, I think I should be at $u_{2019}$ by then

Does anyone have adding or subtracting algebraic fractions where there is 3 fraction instead if 2? they may not be grade 9 but ive only seen them once by my exam board and that was in nov 2018 retakes and they will most likely come up this year so i might need some practice, so if anyone has any or know where to find them that would be appreciated

check june 2017 paper 2

exam board?

edexcel

An arc of a circle with equation $x^2+y^2=r^2$ is shown below



Calculate the length of this arc.

I'll kick things off with one that I've posted the last 2 years and was done badly in both threads:




The value of is 32.123 degrees correct to 3 decimal places. The value of $y$ is 62.425 degrees correct to the nearest 0.005 degrees.

By considering bounds, find the value of to a suitable degree of accuracy. You must show all of your working.