Mr M’s Edexcel GCSE Mathematics A Higher Linear Paper 1 Answers June 20111. Questionnaire
a) Suitable table (2 marks)
b) Sample too small OR not representative (1 mark)
2. Paving slabs
a) Yes (he needs 30 slabs) (3 marks)
b) £276.16 (3 marks)
3. Parcels
a) £10 (1 mark)
b) Ed is cheaper than Bill for distances under 20 miles and more expensive for distances over 20 miles. The cost is the same for a distance of 20 miles. (3 marks)
4. Stem and leaf diagram
2 | 9
3 | 1 3 5 6 9
4 | 2 3 3 4 6 8 9
5 | 2 4 5
Key: 2 | 9 = 29 mph (3 marks)
5. Medicine
8 (2 marks)
6. Shortcakes
a) 30 (2 marks)
b) 60 (2 marks)
7. Buses
11.00 a.m. (3 marks)
8. Algebra
a)
6y−15 (1 mark)
b)
4x(2x+y) (2 marks)
c)
h=g10t (2 marks)
9. Rotation
Rotation 180 degrees about (3, 3) (3 marks)
10. Train tickets
Railtickets (65p cheaper) (4 marks)
11. Parallelogram
39 (3 marks)
12. Orange juice
4 (3 marks)
13. Hexagon and octagon
105 degrees (4 marks)
14. Lighthouse and harbour
a) 35 km (1 mark)
b) 110 degrees (1 mark)
c) Position marked 4 cm away on correct bearing (2 marks)
15. Cumulative frequency
a) 170 g (1 mark)
b) Correct box plot (3 marks)
c) Median of group A is higher than that of group B and interquartile range of A is bigger than B or other correct comparisons (2 marks)
16. More algebra
a)
m−10 (1 mark)
b)
(x+5)(x−2) (2 marks)
17. Standard form
a) 1 (1 mark)
b) 0.000067 (1 mark)
c)
2.7×1014 (2 marks)
18. Area of enlarged shape
1.5 (3 marks)
19. Probability tree diagram
a) Missing numbers: 0.6, 0.7, 0.3, 0.7 (2 marks)
b) 0.12 (2 marks)
20. Simultaneous equations
x = 3 and y = -2 (4 marks)
21. Circle theorems
Radius and tangent are perpendicular so angles OBA and ODA are 90 degrees
Angles in a quadrilateral sum to 360 degrees so angles DOB = 130 degrees
Angle BCD = 65 degrees as angle at circumference is half the angle at the centre of the circle (4 marks)
22. Histogram
a) Correct bars (frequency densities 3, 5, 3.6, 1.2) (3 marks)
b) 18 (2 marks)
23. Algebraic fractions
a)
2x−3x+4 (3 marks)
b)
x2−47x−2 (3 marks)
24. Recurring decimal
11031 (3 marks)
25. Cylinder and sphere
r = 3x (3 marks)
26. Graph transformations
a) Translation 3 units in the positive x direction (2 marks)
b) Stretch scale factor 2 in the y direction (2 marks)