The Hard Grade 9 Questions Thread 2019
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Reply 120
12
Original post by BuryMathsTutor
There are some similar questions here: http://burymathstutor.co.uk/GeometricRatioProblems.pdf
Do you have any more hard practise questions
Reply 121
Post #113 in this thread although apparently it's not that difficult.
Original post by IsMo987
Do you have any more hard practise questions
Reply 122
keep this in my list to solve latterly
Reply 123
Original post by IsMo987
Do you have any more hard practise questions
http://burymathstutor.co.uk/CirclesAndTangents.pdf
Reply 124
Original post by OllyDaws
i dint get this from a site sorry, got this from my last mock paper from edexcel, i dont know when this was taken or this is from and actual exam as my school covered the date with their own
how do you get AP->?
Reply 125
12
Reply 126
15
that question is confusing the hell out of me
Original post by IsMo987
Reply 127
12
Original post by salimyasin10
that question is confusing the hell out of me
I know right I felt like ripping my hair out
Reply 128
15
can u give the answer
coz then i know what direction to take when answering these questions
coz then i know what direction to take when answering these questions
Original post by IsMo987
I know right I felt like ripping my hair out
Reply 129
12
Original post by salimyasin10
can u give the answer
coz then i know what direction to take when answering these questions
coz then i know what direction to take when answering these questions
Reply 130
15
yh i cant work it out
.
Original post by IsMo987
Reply 131
Roughly difficulty order 
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.
AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times. (this one is somewhere between the difficulty of 3 and 4, but closer to 3).
Find the range of possible values of c.
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.
AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times. (this one is somewhere between the difficulty of 3 and 4, but closer to 3).
Find the range of possible values of c.
Reply 132
Can u also provide answers and methods pls
Original post by Aayush :)
Roughly difficulty order
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.
AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times. (this one is somewhere between the difficulty of 3 and 4, but closer to 3).
Find the range of possible values of c.
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.
AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times. (this one is somewhere between the difficulty of 3 and 4, but closer to 3).
Find the range of possible values of c.
Reply 133
Original post by Chemist123
how do you get AP->?
you use AB->
therefore to get to MP-> u need MO-> which u use your AB-> or BA->
M is midpoint of AB->
only giving hints for now
Reply 134
16
this is from 1MA1 Paper 1H Nov 2018 Q21.
It shouldn't be publicly available since edexcel have the paper still locked.
It shouldn't be publicly available since edexcel have the paper still locked.
Original post by IsMo987
Could you send the site from where you got this question
Original post by OllyDaws
i dint get this from a site sorry, got this from my last mock paper from edexcel, i dont know when this was taken or this is from and actual exam as my school covered the date with their own
Reply 135
Original post by begbie68
this is from 1MA1 Paper 1H Nov 2018 Q21.
It shouldn't be publicly available since edexcel have the paper still locked.
It shouldn't be publicly available since edexcel have the paper still locked.
yeah thats it, you get it for mock aswell or you done it before?
Reply 136
Original post by Piloerection101
Can u also provide answers and methods pls
I'll give hints in the spoilers (which are in the same order as the questions below):
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times.
Find the range of possible values of c.
Spoiler
Spoiler
Spoiler
Spoiler
Spoiler
Reply 137
16
I'm not a student.
Original post by OllyDaws
yeah thats it, you get it for mock aswell or you done it before?
Reply 138
Original post by Notnek
Here's a toughie:
Liquid A and liquid B are poured into two containers X and Y. In container X, liquid A and liquid B are in the ratio 5:1. In container Y, liquid A and liquid B are in the ratio 1:3. Some of the liquid in X and some of the liquid in Y are poured into a third container Z so that there are equal volumes of liquid A and B in container Z. What is the ratio of the volumes of liquid poured into Z from containers X and Y?
Obviously this is grade 9+ (because of the thread you're in). If you struggle with easier ratio problems then this is not the thread for you
Liquid A and liquid B are poured into two containers X and Y. In container X, liquid A and liquid B are in the ratio 5:1. In container Y, liquid A and liquid B are in the ratio 1:3. Some of the liquid in X and some of the liquid in Y are poured into a third container Z so that there are equal volumes of liquid A and B in container Z. What is the ratio of the volumes of liquid poured into Z from containers X and Y?
Obviously this is grade 9+ (because of the thread you're in). If you struggle with easier ratio problems then this is not the thread for you
2:3
Reply 139
Original post by Aayush :)
Roughly difficulty order
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.
AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times. (this one is somewhere between the difficulty of 3 and 4, but closer to 3).
Find the range of possible values of c.
1. The points (-1,2) and (2, 20) lie on a quadratic curve. (-1, 2) is the turning point of the curve. Find the equation of the quadratic curve.
2. A particular triangle has sides AB, AC and BC.
AB is 8cm, AC is 14cm and BC is x cm.
Given that angle BAC is obtuse, find the range of possible values of x^2
3. H is the product of two randomly selected non-zero integers.
Prove that there is a probability of 0.125 that h is an odd and positive integer.
4. a/b + b/a = c where a, b and c are all integers.
Prove that there is no set of values of a and b such that -2 < c < 2.
IGCSE only
The curve y = x^3 -6x^2 - 135x - c crosses the x axis 3 times. (this one is somewhere between the difficulty of 3 and 4, but closer to 3).
Find the range of possible values of c.
1 (x+1)^2 +2
X^2+2x+3
2. Any more info?
3. Odd: o+o+o
.5*.5*.5
4.if a/b is <1 then b/a is> 1
Therefore 1,0 and -1 are impossible
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