paper 1 maths gcse 2014 answers

1. Fractions

a) \frac{2}{21} (1 mark)

b) \frac{4}{15} (2 marks)


2. Stem and leaf diagrams

0 | 5 9

1 | 3 5 6 8 9 9

2 | 1 2 3 3 5 7 8 9

3 | 1 2 4

4 | 0

Example key: 1 | 3 = 13 minutes (3 marks)


3. Sports Centre

4 females used the gym (4 marks)


4. Family Railcard

£25.60 (4 marks)


5. Questionnaire

Suitable question with time period and answer boxes (2 marks)


6. Algebra

a) 2m^2 + 6m (1 mark)

b) 3xy(y-2) (2 marks)


7. Pigs in a field

3 pigs (4 marks)


8. Planting a tree

Correct area shaded (3 marks)


9. Transformations

a) Shape with vertices at (0, -1) (-2, -1) (-2, -3) (-1, -3) (2 marks)

b) Shape with vertices at (9, 3) (9, 9) (6, 9) (2 marks)



10. Milk bottles

The 6 pint bottle is the best value for money. (3 marks)


11. Angles in polygons

36 degrees (3 marks)


12. Temperature formula

a) It is not lower than the minimum (3 marks)

b) F=\frac{9C}{5}+32 (3 marks)


13. Competition

A wide range of answers will be accepted - possibly between 35 and 50. (4 marks)


14. Driving in France

6 hours (4 marks)


15. Quadratic graph

a) Missing values: 2, -1, 2, 7 (2 marks)

b) Correct U shaped parabola (2 marks)

c) x =4 or x = -1 (2 marks)


16. Box plots

a) 0.75 km (2 marks)

b) 20 (2 marks)

c) The median distance in the second half was lower but the interquartile ranges were the same (other comparisons are acceptable) (2 marks)


17. Indices

a) 1 (1 mark)

b) 0.01 (1 mark)

c) 0.00273 , 27.3 \times 10^{-3} , 2.73 \times 10^3 , 273 \times 10^2 (2 marks)


18. Simultaneous equations

x = 7 and y = -3 (3 marks)


19. Straight lines

y = 0.5x - 5 (3 marks)


20. Similar shapes

x = 6 (3 marks)


21. Circle theorems

55 degrees (3 marks)


22. More algebra

a) 27x^6y^{12} (2 marks)

b) \frac{x-3}{2x-1} (3 marks)


23. Probability tree diagram

a) Missing numbers: \frac{3}{10} , \frac{6}{9} , \frac{3}{9} , \frac{7}{9} , \frac{2}{9} (2 marks)

b) \frac{8}{15} (3 marks)


24. Vectors

Proof (3 marks)


25. Surds

a) 4\sqrt3 (2 marks)

b) 18 (2 marks)


26. Graph transformations

a) (180, 0) (1 mark)

b) (270, -1) (1 mark)

c) a = 2, b = 3, c = 1 (3 marks)