# Hard Grade 9 Maths Question

Watch
Announcements

Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT

0

reply

Report

#2

(Original post by

Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT

**Fannon**)Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT

Then how many natives and tourists were there in 1987?

And how can you use the fact that the ratio was 155:69 in 1987 to form an equation?

0

reply

Report

#3

**Fannon**)

Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT

You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?

From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.

Hope this helps!

0

reply

Report

#4

Ah, sorry notnek, didn't refresh and see that you'd also posted!

(Original post by

Let the number of tourists on the island in 1986 be 'n'. Then there were 7n natives in 1986.

Then how many natives and tourists were there in 1987?

And how can you use the fact that the ratio was 155:69 in 1987 to form an equation?

**notnek**)Let the number of tourists on the island in 1986 be 'n'. Then there were 7n natives in 1986.

Then how many natives and tourists were there in 1987?

And how can you use the fact that the ratio was 155:69 in 1987 to form an equation?

0

reply

Report

#5

(Original post by

Ah, sorry notnek, didn't refresh and see that you'd also posted!

**surina16**)Ah, sorry notnek, didn't refresh and see that you'd also posted!

0

reply

(Original post by

The initial number of natives (in 1986) could be written as 7x, making the number of tourists x, as this still maintains the 7:1 ratio given in the question.

You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?

From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.

Hope this helps!

**surina16**)The initial number of natives (in 1986) could be written as 7x, making the number of tourists x, as this still maintains the 7:1 ratio given in the question.

You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?

From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.

Hope this helps!

0

reply

Report

#11

(Original post by

Yayyy thanks I've got it now. I vaguely remember this being taught probs wasn't paying attention

**Fannon**)Yayyy thanks I've got it now. I vaguely remember this being taught probs wasn't paying attention

I'll still try the question tho and see how it goes

0

reply

Report

#12

(Original post by

is it ok to use the term "natives" ?

**the bear**)is it ok to use the term "natives" ?

0

reply

Report

#13

(Original post by

Yes. In the question it just means the people who live there as opposed to tourists who visit.

**notnek**)Yes. In the question it just means the people who live there as opposed to tourists who visit.

0

reply

Report

#14

(Original post by

it does not feel right... they could have used "inhabitants" instead

**the bear**)it does not feel right... they could have used "inhabitants" instead

If they were talking about a specific country or comparing natives with collonials then I'd probably take issue with it

But it does seem like this question wasn't written in the last 30 years.

0

reply

(Original post by

Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that

I'll still try the question tho and see how it goes

**DD2508**)Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that

I'll still try the question tho and see how it goes

0

reply

**DD2508**)

Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that

I'll still try the question tho and see how it goes

0

reply

Report

#17

(Original post by

AQA. this sort of question does appear a lot with the new GCSE I think because there's so much more on problem solving. If you want I can send you an attachment with loads of these 'level 9' questions

**Fannon**)AQA. this sort of question does appear a lot with the new GCSE I think because there's so much more on problem solving. If you want I can send you an attachment with loads of these 'level 9' questions

I did try the question and got 125 so i guess i just panicked for no reason

0

reply

Report

#18

**DD2508**)

Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that

I'll still try the question tho and see how it goes

2

reply

Report

#19

(Original post by

These kinds of questions are quite common in the new 9-1 GCSE. The first time you see one they can be quite tricky but they're fine once you practice them. Here's a link with some practice for the common ratio questions that have appeared in practice/specimen papers.

**notnek**)These kinds of questions are quite common in the new 9-1 GCSE. The first time you see one they can be quite tricky but they're fine once you practice them. Here's a link with some practice for the common ratio questions that have appeared in practice/specimen papers.

0

reply

Report

#20

**surina16**)

The initial number of natives (in 1986) could be written as 7x, making the number of tourists x, as this still maintains the 7:1 ratio given in the question.

You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?

From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.

Hope this helps!

0

reply

X

### Quick Reply

Back

to top

to top