The Hard Grade 9 Questions Thread 2019

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Reply 180

the bear

Original post by IsMo987

Do u have some for non calculator

on this page

http://m4ths.com/grade-9-gcse.html

the questions are free.... you pay for the answers

Reply 181

Notnek

Original post by the bear

on this page

http://m4ths.com/grade-9-gcse.html

the questions are free.... you pay for the answers

£7.99!! If I charged for answers to questions I posted over the years then I'd be very rich :smile:

Reply 182

the bear

Original post by Notnek

£7.99!! If I charged for answers to questions I posted over the years then I'd be very rich :smile:

"will answer for 8 or more rep"

:teehee:

Reply 183

ThunderBeard

Sin30 > sin 28 (graphically)
Cos30>cos 29 (graphically)
Tan60>Tan57(graphically)

Original post by Notnek

Yes 1 is the answer. You would need to give more explanation for part b) which is quite a tricky question.

Reply 184

Notnek

Original post by ThunderBeard

Sin30 > sin 28 (graphically)
Cos30>cos 29 (graphically)
Tan60>Tan57(graphically)

The second line is incorrect.

Reply 185

ThunderBeard

Would the proof be acceptable if I corrected the mistake?

Original post by Notnek

The second line is incorrect.

Reply 186

Notnek

Original post by ThunderBeard

Would the proof be acceptable if I corrected the mistake?

You’d have to give more explanation about why the expression is an underestimate or overestimate.

Reply 187

Notnek

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}

Reply 188

Notnek

An arc of a circle with equation

x^2+y^2=r^2

is shown below

Calculate the length of this arc.

Reply 189

Notnek

Solve the inequality

\displaystyle \frac{(x-3)(2x+2)(1-x)}{-x^2-4} < 2x

Give any numbers in your answer correct to 3 significant figures.

Reply 190

Unknown1234abcd

For the inequality.

Spoiler

Original post by Notnek

Solve the inequality

\displaystyle \frac{(x-3)(2x+2)(1-x)}{-x^2-4} < 2x

Give any numbers in your answer correct to 3 significant figures.

Reply 191

Notnek

Original post by Marcusmaths

For the inequality.

Spoiler

Your numbers are wrong unfortunately, plus I don’t see any inequality signs. Post your working if you need help finding your mistake.

Reply 192

Unknown1234abcd

Did you get root 70 for your quadratic formula.

Original post by Notnek

Your numbers are wrong unfortunately, plus I don’t see any inequality signs. Post your working if you need help finding your mistake.

Reply 193

Notnek

Original post by Marcusmaths

Did you get root 70.

No.

Reply 194

ThunderBeard

X<0.468
X>-2.13
The only one that’s not too bad imo.

Original post by Notnek

Solve the inequality

\displaystyle \frac{(x-3)(2x+2)(1-x)}{-x^2-4} < 2x

Give any numbers in your answer correct to 3 significant figures.

Reply 195

ThunderBeard

2.02
Was I supposed to use the distance formula? I did, but I don’t think that it is in my specification.

Original post by Notnek

An arc of a circle with equation

x^2+y^2=r^2

is shown below

Calculate the length of this arc.

Reply 196

Unknown1234abcd

Spoiler

Original post by Notnek

No.

Reply 197

Notnek

Original post by Marcusmaths

Spoiler

Original post by ThunderBeard

X<0.468
X>-2.13
The only one that’s not too bad imo.

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

Reply 198

Notnek

Original post by ThunderBeard

2.02
Was I supposed to use the distance formula? I did, but I don’t think that it is in my specification.

Technically it isn't but I'd expect grade 9 students to be able to find the length of a line given two coordinates using Pythagoras.

Reply 199

ThunderBeard

Oh yeah, oops.

Original post by Notnek

Technically it isn't but I'd expect grade 9 students to be able to find the length of a line given two coordinates using Pythagoras.

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