**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 (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)

(ii) (2 marks)

(b) (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) (2 marks)

b) (2 marks)

c) (2 marks)

d) (1 mark)

16. Fractions

a) (3 marks)

b) (3 marks)

17. Geometrical Proof

Use angle sum of triangle equals 180 degrees to prove result (3 marks)

18. Cumulative Frequency

a) (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 (2 marks)

b) (2 marks)

22. Indices and surds

a) (2 marks)

b) a = -3 and b = 4 (3 marks)

23. Changing the subject

(4 marks)

24. Histogram

a) 84, 60 (2 marks)

b) Bars 20 mm high and 3 mm high (2 marks)

25. 3D shapes

(4 marks)

26. Vectors

a) 3**b** – 2**a** (1 mark)

b) Show parallel vector (3 marks)

27. Algebraic fraction

x = 3 or x = -2 (4 marks)

**Mr M’s Edexcel GCSE Linear 1380 Higher Tier Calculator Paper 4 Answers June 2011**

1. Probability

a) 0.2 (2 marks)

b) 160 (2 marks)

2. Enlargement

Correct enlargement (3 marks)

3. Factors

a) (2 marks)

b) 15 (2 marks)

4. Straight line graph

Draw straight line passing through (0, -2) and (3, 10) (3 marks)

5. Circular pond

34.6 (3 marks)

6. Stem and leaf diagram

a)

1 | 6 8

2 | 1 5 7 8 8

3 | 0 6 6 6 8

4 | 1 5 8 8

Key: 4 | 8 = 48 years old (different numbers acceptable!) (3 marks)

b) 33 (2 marks)

7. Coloured beads

10 green (3 marks)

8. Rotation

Correct rotation (2 marks)

9. Surface area

(4 marks)

10. Algebra

a) 7e + 2f (2 marks)

b) -3 (3 marks)

c) 146 (2 marks)

11. Frequency table

a) 0 (1 mark)

b) 1.625 (3 marks)

12. Trial and improvement

3.7 (4 marks)

13. Using a calculator

a) 109.8847047 (2 marks)

b) 110 (1 mark)

14. Expressions

a) i)

ii) (2 marks)

b) (1 mark)

15. Inequalities

a) Draw an open circle at -3 with an arrow pointing right (2 marks)

b) (2 marks)

16. Reverse percentage decrease

£5.40 (3 marks)

17. Similar triangles

a) 20 (2 marks)

b) 10.8 (2 marks)

18. Algebra

a) (1 mark)

b) (2 marks)

c) (3 marks)

19. Standard form

(3 marks)

20. Dimensions

Tick , , (3 marks)

21. Circle theorem

i) 54 degrees

ii) Angles in same segment are equal (2 marks)

22. Stratified sample

15 (2 marks)

23. Rectangles and quadratics

a) Show quadratic (3 marks)

b) 6.36 (4 marks)

24. Probability tree diagram

(4 marks)

25. Trigonometry

a) 9.68 (4 marks)

b) 13.1 (3 marks)

26. Upper and lower bounds

(3 marks)