The Hard Grade 9 Questions Thread 2019

Here is the final question in the maths treasure hunt from last week. I thought I'd post it here because it's very hard



The diagram shows a circle with centre C and radius $x$. The green shaded section has a total area of 9153 square units. Find the value of $x$, giving your answer to the nearest whole number.

Here is the final question in the maths treasure hunt from last week. I thought I'd post it here because it's very hard



The diagram shows a circle with centre C and radius $x$. The green shaded section has a total area of 9153 square units. Find the value of $x$, giving your answer to the nearest whole number.

Where can I find the other questionsb

This could be in a non-calculator paper:

a) Estimate the value of

$\displaystyle \frac{\sin 28}{\cos 29} \times \tan 57$

b) Is your answer an underestimate or an overestimate? Explain your answer.

degrees or radions ?

This could be in a non-calculator paper:

a) Estimate the value of

$\displaystyle \frac{\sin 28}{\cos 29} \times \tan 57$

b) Is your answer an underestimate or an overestimate? Explain your answer.

there is a level 9/A* paper here:

https://mathsmadeeasy.co.uk/wp-content/uploads/2019/04/GCSE-Maths-Level-9-Paper-A-STAR-paper-Questions-Questions.pdf

sin30= 0.5, cos 30= surd(3)/2 , tan 60= surd(3)

0.5/1 diide by surd 3/2 =surd 3/2
surd 3 over 3 times 3= 3 surd 3 /3= surd (3)

overestimate as:
answer is bigger than actual answer and i rounded all the values up to the nearest ten.

is there a mark scheme for it

This could be in a non-calculator paper:

a) Estimate the value of

$\displaystyle \frac{\sin 28^o}{\cos 29^o} \times \tan 57^o$

b) Is your answer an underestimate or an overestimate? Explain your answer.

Could you post a proper picture of the question please or how the question is layed out

0.5/1 diide by surd 3/2 =surd 3/2

This is not right.

i wanted to divide 0.5 by surd(3)/2 to get a single number to multiply by tan(60). coz 0.5/1 divide by surd(3)/2 = 0.5/surd(3)/2

I recommend using fractions instead of decimals - it will make your life easier. So you have

$\displaystyle \sin 30 \div \cos 30 = \frac{1}{2} \div \frac{\sqrt{3}}{2}$

What's that equal to?

@Notnek i think i multiplied surd3/3 x tan(60) wrong.
yh i did lol, surd (3)/3 x surd(3)/1 = surd3 x surd3 =3
3x1=3, 3/3 = 1