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Mr M's Edexcel GCSE Linear 1380 Higher Tier Paper 3 Answers June 2011

Mr M’s Edexcel GCSE Linear 1380 Higher Tier Paper 3 Answers June 2011

1. Recipe
120g rolled oats, 90g butter, 45 ml golden syrup, 54g light brown sugar (3 marks)

2. Scatter graph
a) Positive OR Harriet takes longer to read books with more pages (1 mark)
b) 7.5 hours (or an answer close to this) (2 marks)

3. Angles in parallel lines
a) 55 degrees
b) Corresponding angles OR F angles (2 marks)

4. Estimate
280 (or an answer close to this) (3 marks)

5. Algebra
a) (i) 22
(ii) 3 (OR -3) (3 marks)
b) -1, 0, 1, 2, 3 (2 marks)

6. Exterior angles
12 sides (2 marks)

7. Transformations
a) Correct reflection – point of shape should be at (-6, 2.5) (2 marks)
b) Translation by (−6−1)\begin{pmatrix} -6 \\ -1 \end{pmatrix} (2 marks)

8. Questionnaire
a) Question with a time period and non-overlapping boxes (2 marks)
b) People at the swimming pool are likely to have an active lifestyle (1 mark)

9. Linear sequences
a) 4, 7 (1 mark)
b) 4n – 3 (2 marks)

10. Mass of a prism
38.4 kg (5 marks)

11. Sharing in a ratio
£32.40 (3 marks)

12. Indices
a) (i) w10w^10
(ii) h5h^5 (2 marks)
(b) 4x\frac{4}{x} (2 marks)

13. Frequency Polygon
Plotted correctly at midpoints of the weight intervals (2 marks)

14. Construction
Construct angle of 60 degrees (equilateral triangle) and bisect it (3 marks)

15. Expanding and factorising
a) x2+2xx^2 + 2x (2 marks)
b) x2–x–12x^2 – x – 12 (2 marks)
c) 2y(y–2)2y(y – 2) (2 marks)
d) (x+3)(x–3)(x + 3)(x – 3) (1 mark)

16. Fractions
a) 45\frac{4}{5} (3 marks)
b) 1415\frac{14}{15} (3 marks)

17. Geometrical Proof
Use angle sum of triangle equals 180 degrees to prove result (3 marks)

18. Cumulative Frequency
a) 90<m≤10090 < m \leq 100 (1 mark)
b) 16, 50, 82, 108, 120 (1 mark)
c) Draw cumulative frequency curve at endpoints of intervals (2 marks)
d) Median = 103 minutes (approx) (1 mark)

19. Simultaneous Equations
x = 3.5, y = -4 (3 marks)

20. Box Plots
Two correct comparisons such as the medians are the same and the interquartile range of the girls is smaller than that of the boys. (2 marks)

21. Equation of a straight line
a) Gradient =−12= -\frac{1}{2} (2 marks)
b) y=−x2+5y=-\frac{x}{2} + 5 (2 marks)

22. Indices and surds
a) 19\frac{1}{9} (2 marks)
b) a = -3 and b = 4 (3 marks)

23. Changing the subject
k=2tt−1k = \frac{2t}{t-1} (4 marks)

24. Histogram
a) 84, 60 (2 marks)
b) Bars 20 mm high and 3 mm high (2 marks)

25. 3D shapes
h=3xh = \sqrt{3} x (4 marks)

26. Vectors
a) 3b – 2a (1 mark)
b) Show parallel vector (3 marks)

27. Algebraic fraction
x = 3 or x = -2 (4 marks)
(edited 12 years ago)

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Revision List for GCSE Higher Calculator Maths Exam on 10th June 2011


Grade D
Using a calculator
Pie charts
Stem and leaf diagrams
Percentages
Plans and elevations
Area and circumference of a circle
Probability
Plotting a graph from a table of values
Rotations or enlargements


Grade C
Trial and improvement
Expressing a number as the product of its prime factors
Forming and solving an equation
Pythagoras’ Theorem
Mean from a frequency table
Speed, distance and time
Perpendicular bisector


Grade B
Standard form
Moving averages
Circle theorems
Trigonometry
Loci
Probability tree diagrams
Quadratic formula
Dimensions


Grade A
Sine Rule, Cosine Rule or area of a scalene triangle
Direct and inverse proportion
Stratified sample


Grade A*
Upper and lower bounds
Graph transformations
Reply 2
Avatar for Tulareyn
Tulareyn
1
Hi, do you think you'd get ANY method marks for doing about the same thing on the hemisphere question but using the volume formula instead?
Original post by Tulareyn
Hi, do you think you'd get ANY method marks for doing about the same thing on the hemisphere question but using the volume formula instead?


1 mark at most.
Do you think 50 marks will earn a grade B?

Thanks for all the answers
Original post by Uchiha_Sharingan
Do you think 50 marks will earn a grade B?

Thanks for all the answers


Quite possibly as it was slightly harder than usual.
Thanks!

Hopefully i can do way better in the calculator exam.
Thanks for all the topics.
what you guys hoping to get for this paper? im in year 12 doing my maths a level but i wanted to see this paper badly!!
You know for the translation question, i actually wrote: down one box and left 6 boxes, can this earn any marks?
Original post by Uchiha_Sharingan
You know for the translation question, i actually wrote: down one box and left 6 boxes, can this earn any marks?


one mark out of two if you didn't use the word translation
I think I got 400 for the estimate one as I did 10 x 20/0.5
What will I get?
For question 22a I got 1/9 not minus 1/9 will I get anything
And what is the 0 after w^1? An alternative answer? I put w^1

Also any idea on a and a* boundary?
Thanks
How do you know all these things?
Original post by Spellstheend
I think I got 400 for the estimate one as I did 10 x 20/0.5
What will I get?
For question 22a I got 1/9 not minus 1/9 will I get anything
And what is the 0 after w^1? An alternative answer? I put w^1

Also any idea on a and a* boundary?
Thanks


That estimate will be worth at least 2 out of 3.

It isn't -1/9, that it is a typo.

Boundaries a little lower than usual.
22. Indices and surds
a) −1/9-1/9 (2 marks)

I really doubt that it is a minus.... Are you sure?

1/(sqrt3(27)2)1/(sqrt3(27)^2)

No negative?

Also, whilst I thank you for the answers, I realised I messed up even worse than I suspected. Bye bye A* :smile:
Original post by Marshton
...


Yes it was a latex typo, fixed.
Reply 15
Avatar for sam.h
sam.h
4
Oh crap must have read the shapes wrong way round for q7 I put translation by (6'1) instead of (-6'-1). (don't know how to write the special vector brackets on here) will I still get one mark?
(edited 12 years ago)
Original post by sam.h
Oh crap must have read the shapes wrong way round I put translation by (6'1) instead of (-6'-1). (don't know how to write the special vector brackets) will I still get one mark?


yes
Original post by sam.h
Oh crap must have read the shapes wrong way round I put translation by (6'1) instead of (-6'-1). (don't know how to write the special vector brackets) will I still get one mark?


I did this too :frown: WAA HML
(edited 12 years ago)
Difference of two squares.
Reply 19
Avatar for JakeYO
JakeYO
For question 17 could you not have proved that each angle were equal, in turn, with theorems?

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