You are Here: Home >< Maths

# Edexcel IGCSE Mathematics A - Paper 3H - 2016 - Unofficial Mark Scheme

Announcements Posted on
TSR's new app is coming! Sign up here to try it first >> 17-10-2016
1. For question 19 ( circle theorm ) do we need to explain each step?
2. Could someone give me a rough list of topics that were on the paper, I sat mine in janurary and am trying to help predict what will be on 4H
3. (Original post by likeliverpool)
Question 20 and 21 are wrong. My maths teacher grabbed an exam herself and did all the questions. The ones on this mark scheme is what I put in the exam, which are wrong.

Question 20:
She explained that although the question said '4.5 (rounded to the nearest cm)' you were not supposed to put 4.55 which would have given you 1637 if you had carried on. Rather it should have been 4.75.
- I cant remember the real answer though

Question 21:
-I remember the answer being as 16/81

My math teacher could be wrong though, but I highly doubt it
Ok, I will once again post why your teacher is wrong:

Q20)
They said that 4.5cm was to the nearest 0.5cm, NOT 0.1cm. Therefore, adding half of 0.5, which is 0.25, to 4.5, we get 4.75 cm.
Upper bound of the side of the cube was 4.75 cm=47.5mm.
Lower bound of the radius of the sphere was 2.5mm.
Therefore the maximum number can be figured out by dividing the max volume of the cube by the minimum volume of the sphere.
1=Max volume cube = 47.5^3
2=Max volume sphere = 4/3 Pie R^3 = 4/3*pie*2.5^3
Divide 1 by 2 and you get 1637.465632.
However you cannot have 0.465632 of a sphere, so there are 1637 spheres which can be made from the cube.

As I have said, that will only lose you two or three out of five, most likely only two.

Q21)
This is the working:
The only ways to pick out three of the cards and get a total of 6 were to pick out a 1, 2 and 3; or to pick out 2,2 and 2.
The former can be achieved by picking them out in 1 of six orders:
1,2,3
1,3,2
2,3,1
2,1,3
3,1,2
3,2,1
To find out the probability of each of these scenarios, this is how you do it:
(2/9)*(3/8)*(4/7) = 1/21
Since there are 6 of them, multiply 1/21 by 6 = 2/7 (which is what you did)
However you forgot that by picking out three 2's, a total of six could be achieved.
The probability of this is (3/9)*(2/8)*(1/7)=1/84
1/84 + 2/7 = 25/84
4. (Original post by Latina56)
Could someone give me a rough list of topics that were on the paper, I sat mine in janurary and am trying to help predict what will be on 4H
Topic List for 4H
Angle rules (corresponding angles, interior angles etc.)
Alternate Segment Theorem
Indices
Transformations
A hard algebraic simplification question
Surds
Inequalities – inequality lines and graphs(shade in the correct section)
Vectors – Proof of straight line
Simultaneous equations
Function notation – inverse function, domain,range
Median, mean, mode, range
Compound interest and percentages
Proportionality
Bearings
Line Bisectors and angle bisectors
Construction of shapes
Histograms
Interior angles, exterior angles, number ofsides
Standard Form
Recurring Decimals
Prime Factors
Venn Diagrams
Chords and Sectors
Sin rule trig
5. (Original post by Martins1)
Topic List for 4H
Angle rules (corresponding angles, interior angles etc.)
Alternate Segment Theorem
Indices
Transformations
A hard algebraic simplification question
Surds
Inequalities – inequality lines and graphs(shade in the correct section)
Vectors – Proof of straight line
Simultaneous equations
Function notation – inverse function, domain,range
Median, mean, mode, range
Compound interest and percentages
Proportionality
Bearings
Line Bisectors and angle bisectors
Construction of shapes
Histograms
Interior angles, exterior angles, number ofsides
Standard Form
Recurring Decimals
Prime Factors
Venn Diagrams
Chords and Sectors
Sin rule trig
Thankyou! That is very helpful, just to clarify, are these your predictions for 4H or are they what was on 3H?
6. (Original post by Latina56)
Thankyou! That is very helpful, just to clarify, are these your predictions for 4H or are they what was on 3H?
This is a topic list of things which were not on paper 3H
7. (Original post by Martins1)
Here is my working supporting the 188 answer.
The formula of area of triangle need the perpendicular hight how did you get the hight ?
8. (Original post by WhiteX)
The formula of area of triangle need the perpendicular hight how did you get the hight ?
pythagorus theorem a2 + b2 = c2
9. (Original post by WhiteX)
The formula of area of triangle need the perpendicular hight how did you get the hight ?
The bottom of the sheet, where I figure out AF - AF is the perpendicular height.
10. (Original post by BOBQ)
pythagorus theorem a2 + b2 = c2
isnt pythagorus only used when there is the hight is 90 deg ?
11. (Original post by Martins1)
Topic List for 4H
Angle rules (corresponding angles, interior angles etc.)
Alternate Segment Theorem
Indices
Transformations
A hard algebraic simplification question
Surds
Inequalities – inequality lines and graphs(shade in the correct section)
Vectors – Proof of straight line
Simultaneous equations
Function notation – inverse function, domain,range
Median, mean, mode, range
Compound interest and percentages
Proportionality
Bearings
Line Bisectors and angle bisectors
Construction of shapes
Histograms
Interior angles, exterior angles, number ofsides
Standard Form
Recurring Decimals
Prime Factors
Venn Diagrams
Chords and Sectors
Sin rule trig
thanks those were helpful i'll focus on them i think direct proportion and inverse will come up too
12. (Original post by WhiteX)
thanks those were helpful i'll focus on them i think direct proportion and inverse will come up too
Yeah, I agree - i have proportionality in my list
13. (Original post by WhiteX)
isnt pythagorus only used when there is the hight is 90 deg ?
yes the triangle was divided into 2 smaller 90 degree triangles
14. (Original post by BOBQ)
you had to give the answer in the form ax + bx = c

The equation for the line was Y = 3/4X - 4.75

That multiplied by 4 on each side gave it in the correct form

which was 4Y - 3X = -19
what about if you put -3/4X - X = -4.75
15. Hey,
4.5 was rounded to the nearest 0.5 not 0.1 so it wasn't 4.55- I think it was 4.75?
16. (Original post by Martins1)
Ok, I will once again post why your teacher is wrong:

Q20)
They said that 4.5cm was to the nearest 0.5cm, NOT 0.1cm. Therefore, adding half of 0.5, which is 0.25, to 4.5, we get 4.75 cm.
Upper bound of the side of the cube was 4.75 cm=47.5mm.
Lower bound of the radius of the sphere was 2.5mm.
Therefore the maximum number can be figured out by dividing the max volume of the cube by the minimum volume of the sphere.
1=Max volume cube = 47.5^3
2=Max volume sphere = 4/3 Pie R^3 = 4/3*pie*2.5^3
Divide 1 by 2 and you get 1637.465632.
However you cannot have 0.465632 of a sphere, so there are 1637 spheres which can be made from the cube.

As I have said, that will only lose you two or three out of five, most likely only two.

Q21)
This is the working:
The only ways to pick out three of the cards and get a total of 6 were to pick out a 1, 2 and 3; or to pick out 2,2 and 2.
The former can be achieved by picking them out in 1 of six orders:
1,2,3
1,3,2
2,3,1
2,1,3
3,1,2
3,2,1
To find out the probability of each of these scenarios, this is how you do it:
(2/9)*(3/8)*(4/7) = 1/21
Since there are 6 of them, multiply 1/21 by 6 = 2/7 (which is what you did)
However you forgot that by picking out three 2's, a total of six could be achieved.
The probability of this is (3/9)*(2/8)*(1/7)=1/84
1/84 + 2/7 = 25/84
I see, thanks. since I got 2/7 and used 4.55. Will I only lose 4-5 marks out of the paper?
17. (Original post by _Xenon_)
This is the Unofficial Mark Scheme for the Edexcel IGCSE Mathematics A HIGHER TIER exam today. If you find any errors, please let me know.

Question 1
Spoiler:
Show
1. Ingredients question.
(a) 750
(b) 30 muffins
Question 2
Spoiler:
Show
2. t is the total number of pens.
x is a small box.
y is a big box.
There are 4 pens in the small boxes and 10 pens in the big ones. I believe the answer was: t = 4x+10y (3 marks)
Question 3
Spoiler:
Show
3. 2.95
Question 4
Spoiler:
Show
4a.) 6 and 12
4b.) 2, 3, 4, 6, 8, 9, 10, 12, 14
Question 5
Spoiler:
Show
5. Sketch graph.
(-2,11) & (3/4) / (y = 3x - 5)
Question 6
Spoiler:
Show
6. Show that questions...

Example can be provided, just ask.
Question 7
Spoiler:
Show
7a.) y(3y+2)
Question 8
Spoiler:
Show
8. 10.7
Question 9
Spoiler:
Show
9. 52%
Question 10
Spoiler:
Show
10. 10.7 degrees (?)
Question 11
Spoiler:
Show
11. Cumulative frequency (add them up as you go along for the table and for plotting use the upper value and the cumulative frequency to plot point then join with smooth curve.

Interquartile range = UQ-LQ
Question 12
Spoiler:
Show
12. x = 7, y = -3
Question 13
Spoiler:
Show
13. Rearrange in the form ax+by=c
Question 14
Spoiler:
Show
14. Velocity question, differentiate.

V = 6t2-24t+(7 or 9)

2 seconds.
Question 15
Spoiler:
Show
15. 102.4cm
Question 16
Spoiler:
Show
16. Volume of the vase was 102 cm3.
Working out:
ASF =
LSF =
VSF =
= 24.3cm3 (3 s.f.)
Question 17
Spoiler:
Show
17. x = 8
Question 18
Spoiler:
Show
18. Rearrange.
k = 3m+1 (?)
Question 19
Spoiler:
Show
19. 63 degrees (circle theorems question)
Question 20
Spoiler:
Show
20. 1637 spheres
Question 21
Spoiler:
Show
21. 25/84
Question 22
Spoiler:
Show
22. 188cm2
Do you have answer to the simplify the 28x5etc one
18. (Original post by BOBQ)
yeah i think it was 4.75,

what would you get if you put 4.55 but did everything else correctly
two or three out of 5.
19. Ngl I put 4.55 and only realised after the exam, I think seen as we got the method correct we may get most apart from the mark for the final answer and the one for figuring out the right upper bound, so 3/5?
20. Can someone make a list for the things that weren't on this and the things that were for paper 4h. Thanks

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: June 11, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources