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# GCSE Mathematics Edexcel Questions

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1. Hi there,

I am struggling to answer a few maths questions based on a variety of topics.

I would appreciate any form of help!

Q1 (Equations and inequalities)

Football pitch area = 7140 m^2
4x+5 m wide and 3x-7 m long
What are the dimensions of the pitch?

Q2 (Equations and inequalities)

Jodie and Kate play netball for the same team
In a month they score fewer than 15 goals
Kate scored 4 more goals than Jodie
What is the maximum number of goals Jodie could have scored?

Q3 (Equations and inequalities)

A pond is 8 m wide by 10 m long
It has a path around it that is exactly the same width all round
The area of the path is 80% of the area of the pond
How wide is the path?

Q4 (Similarity and congruence)

Y and Z are similar cylinders
Y has a volume of 6(pi) cm^3
Z has a volume of 93.75(pi) cm^3
The radius of cylinder Y is 0.6 cm
Calculate the radius of cylinder Z

2. (Original post by Pandora___)
Hi there,

I am struggling to answer a few maths questions based on a variety of topics.

I would appreciate any form of help!

Q1 (Equations and inequalities)

Football pitch area = 7140 m^2
4x+5 m wide and 3x-7 m long
What are the dimensions of the pitch?

Q2 (Equations and inequalities)

Jodie and Kate play netball for the same team
In a month they score fewer than 15 goals
Kate scored 4 more goals than Jodie
What is the maximum number of goals Jodie could have scored?

Q3 (Equations and inequalities)

A pond is 8 m wide by 10 m long
It has a path around it that is exactly the same width all round
The area of the path is 80% of the area of the pond
How wide is the path?

Q4 (Similarity and congruence)

Y and Z are similar cylinders
Y has a volume of 6(pi) cm^3
Z has a volume of 93.75(pi) cm^3
The radius of cylinder Y is 0.6 cm
Calculate the radius of cylinder Z

Show your working and/or ideas, then we can help.
3. (Original post by RDKGames)
Show your working and/or ideas, then we can help.
For the first question, what I did was (4x+5)(3x-7) = 7140

Then I expanded it (so 12x^2 +15x - 35 -28x = 7140)

I then took away 7140 from both sides to have a quadratic equation to solve

12x^2 -13x - 7175 = 0. I tried solving it using the quadratic formula, but the answer(s) I got was not correct.

For the second question, I realised that I had to put together an inequality and then solve it, but I wasn't too sure with what the inequality should contain.

I started off by trying to solve 15-x+4+x (K + J's goals in a month) < x (J's goals) < x+4 (K's goals), but I struggled with solving it.

For the third question, I did 8 x 10 to give the area of the pond (80 cm^2) and found 80% of that which is 64 cm^2. The equation to find the width would have been something like a x b = 64, but I became discombobulated from then on.

For the final question, I tried applying my knowledge of "the ratio of the volume is cubed the ratio of the radii", but I did not know how to answer the actual question with that in mind.
4. (Original post by Pandora___)
For the first question, what I did was (4x+5)(3x-7) = 7140

Then I expanded it (so 12x^2 +15x - 35 -28x = 7140)

I then took away 7140 from both sides to have a quadratic equation to solve

12x^2 -13x - 7175 = 0. I tried solving it using the quadratic formula, but the answer(s) I got was not correct.

For the second question, I realised that I had to put together an inequality and then solve it, but I wasn't too sure with what the inequality should contain.

I started off by trying to solve 15-x+4+x (K + J's goals in a month) < x (J's goals) < x+4 (K's goals), but I struggled with solving it.

For the third question, I did 8 x 10 to give the area of the pond (80 cm^2) and found 80% of that which is 64 cm^2. The equation to find the width would have been something like a x b = 64, but I became discombobulated from then on.

For the final question, I tried applying my knowledge of "the ratio of the volume is cubed the ratio of the radii", but I did not know how to answer the actual question with that in mind.
Correct working for the first one, correct quadratic. You should indeed get x=25 since you can disregard the negative value. If you're not getting this then you're probably slipping up somewhere in your quadratic formula.

Incorrect inequality. Let's denote Jodie's goals by J and Katie's goals by K. We are told they scored fewer than 15 in a month. So that means We are also told that Kate scored 4 more than Jodie, meaning Since we know K in terms of J, we can use this to get our inequality ONLY in terms of J and get the required answer.

Wrong. The area of the pond is 80, yes, but the path around the pond is different. Draw a diagram and label your pond and the path around it with the unknown variable for the width, you might need to dissect the path into 4 rectangles.

Volume of a cylinder is determined by . Since you know they are similar, the radius and height of Z is are the same as the radius and height of Y but multiplied by some constant . So for Y: and for Z: . Try and figure out the radius of cylinder Z which is where as told in the question.

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