Plank
03-06-2008, 11:01 AM
Answers to the Edexcel Higher Linear Tier Exam (new spec) CALCULATOR
1) Probability
a) P(black) = 5/12 (2 marks)
b) P(not black) = 7/12 (1 mark)
2) Using a calculator
11.94117647 (2 marks)
3) Scatter diagram
a) Plot two points (1 mark)
b) Negative correlation (1 mark)
c) Straight line of best fit (1 mark)
d) Approx 12 degs C (1 mark)
e) Approx 1100 metres (1 mark)
4) Angles between parallel lines
i) y = 58 degs
ii) Alternate angle (2 marks)
5) 3D drawing (2 marks)
6) Nth term of a linear sequence
3n + 2 (2 marks)
7) Trial and improvement
x = 2.7 (4 marks)
8)Frequency polygon (2 marks)
9) Angles in a quadrilateral
a) 5x + 60 = 360 (2 marks)
b) x = 60 (3 marks)
10) Ratio and Percentages
a) 10 British cars (2 marks)
b) £94 including VAT (3 marks)
c) £7680 value after 2 years (3 marks)
11) Algebra
a) 2a + 4c (1 mark)
b) S = 9/8 (or 1.125) (2 marks)
c) x (x – 5) (2 marks)
d) x² + 7x + 12 (2 marks)
e) (y + 5) (y + 3) (2 marks)
12) Mobile phones
a) Percentage increase = 7.06% (3 marks)
b) Moving averages = 74 and 83 (2 marks)
13) Cylinder
a) Volume = 503 cm³ (2 marks)
b) Mass = 302 grams (2 marks)
14) Right-angled triangle
a) Area of triangle = 28 cm² (2 marks)
b) AC = 10.63 cm (3 marks)
c) y = 34.8 degs (3 marks)
15) Transformations
Rotation 180 degrees about (1,0) (3 marks)
16) Factors
a) 2² x 3² x 7 (3 marks)
b) 3 and 45 (3 marks)
17) Standard form
3.02 x 10^27 (2 marks)
18) Shading region
Region R is a right angled triangle with vertices at (2,1) (2,4) and (5,1) (3 marks)
19) Area of a sector
221 cm² (2 marks)
20) Inverse proportion
a) q = 136/t² (3 marks)
b) q = 5.44 (1 mark)
21) Histogram
a) Missing numbers: 18, 20, 12 (2 marks)
b) Complete two missing bars (2 marks)
22) Upper and lower bounds
Upper bound = 8.75 miles per litre (3 marks)
23) Algebraic fraction
a) Show quadratic (3 marks)
b) x = 1.22 or x = -3.55 (3 marks)
24) Cosine rule
Angle BAC = 85.5 degrees (3 marks)
25) Exponential curve
k = 1.4, a = 5 (3 marks)
:)
1) Probability
a) P(black) = 5/12 (2 marks)
b) P(not black) = 7/12 (1 mark)
2) Using a calculator
11.94117647 (2 marks)
3) Scatter diagram
a) Plot two points (1 mark)
b) Negative correlation (1 mark)
c) Straight line of best fit (1 mark)
d) Approx 12 degs C (1 mark)
e) Approx 1100 metres (1 mark)
4) Angles between parallel lines
i) y = 58 degs
ii) Alternate angle (2 marks)
5) 3D drawing (2 marks)
6) Nth term of a linear sequence
3n + 2 (2 marks)
7) Trial and improvement
x = 2.7 (4 marks)
8)Frequency polygon (2 marks)
9) Angles in a quadrilateral
a) 5x + 60 = 360 (2 marks)
b) x = 60 (3 marks)
10) Ratio and Percentages
a) 10 British cars (2 marks)
b) £94 including VAT (3 marks)
c) £7680 value after 2 years (3 marks)
11) Algebra
a) 2a + 4c (1 mark)
b) S = 9/8 (or 1.125) (2 marks)
c) x (x – 5) (2 marks)
d) x² + 7x + 12 (2 marks)
e) (y + 5) (y + 3) (2 marks)
12) Mobile phones
a) Percentage increase = 7.06% (3 marks)
b) Moving averages = 74 and 83 (2 marks)
13) Cylinder
a) Volume = 503 cm³ (2 marks)
b) Mass = 302 grams (2 marks)
14) Right-angled triangle
a) Area of triangle = 28 cm² (2 marks)
b) AC = 10.63 cm (3 marks)
c) y = 34.8 degs (3 marks)
15) Transformations
Rotation 180 degrees about (1,0) (3 marks)
16) Factors
a) 2² x 3² x 7 (3 marks)
b) 3 and 45 (3 marks)
17) Standard form
3.02 x 10^27 (2 marks)
18) Shading region
Region R is a right angled triangle with vertices at (2,1) (2,4) and (5,1) (3 marks)
19) Area of a sector
221 cm² (2 marks)
20) Inverse proportion
a) q = 136/t² (3 marks)
b) q = 5.44 (1 mark)
21) Histogram
a) Missing numbers: 18, 20, 12 (2 marks)
b) Complete two missing bars (2 marks)
22) Upper and lower bounds
Upper bound = 8.75 miles per litre (3 marks)
23) Algebraic fraction
a) Show quadratic (3 marks)
b) x = 1.22 or x = -3.55 (3 marks)
24) Cosine rule
Angle BAC = 85.5 degrees (3 marks)
25) Exponential curve
k = 1.4, a = 5 (3 marks)
:)