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GCSE Maths linear higher 1380 answers (18 May 2009)
Derived from other sources so not checked!
1a) Two Way Tables
1st row: 15 25 14 54
2nd row: 22 8 16 46
3rd row: 37 33 30 100 (3 marks)
1b) 37/100 or 0.37 or 37% (1 mark)
2a) Expressions
2x + 8y (2 marks)
2b) 2c + 4r (2 marks)
3a) Linear graphs
Missing values in table: -7, 1, 5 (2 marks)
3b) Straight line graph (2 marks)
4a) Substitution
k = 15 (2 marks)
4b) y = -7 (2 marks)
5a) Transformations
Correct rotation (2 marks)
5b) Translation 3 units to the right and 1 unit down (2 marks)
6a) Rectangle
The opposite sides of a rectangle are the same length (1 mark)
6b) x = 5.5 (2 marks)
6c) Perimeter = 57 cm (2 marks)
7a) Place value
15.456 (1 mark)
7b) 0.15456 (1 mark)
7c) 3220 (1 mark)
8a) Value for x
6 or -6 (2 marks)
8b) Prime factorisation
2 x 2 x 2 x 3 x 3 (2 marks)
9a) Plans and elevations
Square with side length 2 cm (2 marks)
9b) Sketch of solid shape (2 marks)
10) Water in barrel
320 seconds (3 marks)
11a) Length of a line
62.5 cm (1 mark)
11b) 63.5 cm (1 mark)
12) Shaded region
Construct angle bisector of BAC
Construct arc of circle 4 cm from B
Shade correct region (4 marks)
13a) Questionnaire
Question with a range of response boxes (2 marks)
13b) Question with a time period and response boxes (2 marks)
14) Estimating
28000 (or answer close to this) (3 marks)
15a) Standard form
6.4 x 10^4 (1 mark)
15b) 1.56 x 10^-5 (1 mark)
16a) Factorising
2x (2x - 3y) (2 marks)
16b) (x + 6) (x - 1) (2 marks)
17a) Cumulative frequency
Draw diagram (2 marks)
17b) Median = £240 (2 marks)
17c) The men spent more than the women by median average (1 mark)
18a) Circle theorems
54 degrees (2 marks)
18b) 27 degrees
Angle at the circumference is half the angle at centre (3 marks)
19a) Straight lines
x = 2, y = 3 (1 mark)
19b) y = 0.5x + 4 (2 marks)
20a) Inequalities
t < 5.5 (2 marks)
20b) 5 (1 mark)
21) Proportion
540 (4 marks)
22) Histogram
Bars of frequency density 0.8, 1, 1.6, 2, 1.2 (4 marks)
23a) Probability tree diagram
0.5, 0.3, 0.2 written in four places (2 marks)
23b) 0.25 (2 marks)
24a) Congruent triangles
Valid proof (3 marks)
24b) Valid proof that perpendicular bisects base (2 marks)
25a) Changing the subject
f = 10/7 (3 marks)
25b) u= fv/(v-f) (2 marks)
26a) Graph transformations
y = f(x-4) (2 marks)
26b) Stretched in y direction by scale factor 3 and in x direction by scale factor 0.5 (2 marks)
Possible topics for the 2009 calculator paper...
| NUMBER
PERCENTAGES
- % of a quantity
- % changes
- Compound interest
- Reverse % problems
RATIO
PROPORTION
Standard form calculations
Sequences
Lower and upper bound calculations
Laws of indices
Negative and fractional indices
Surds |
ALGEBRA
QUADRATICS
- Completing the square
- Solving equations by factorising, formula,completing the square
ALGEBRAIC FRACTIONS
- Solve equation
- Simplify expression
Equation of a circle
Graphical inequalities (shade regions)
Perpendicular gradients & lines
SIMULTANEOUS EQUATIONS
- Algebraic
- One quadratic, one linear
Other GRAPHS
- Cubic
- Reciprocal (1/x)
- Exponential
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| SHAPE AND SPACE
TRIGONOMETRY
- Pythagoras
- SOHCAHTOA
- Sine & cosine rules
- Area = ½absinC
CIRCLES
- Sector & segment area
- Arc length
VECTORS
AREAS and VOLUMES
- Quadrilaterals
- Prisms, cones, spheres
ANGLES
- Parallel lines
- Polygons
- Bearings
SIMILAR FIGURES |
HANDLING DATA
Stem-and-leaf
Box-and-whisker
SAMPLING METHODS
Relative frequency
Expected frequencies from probabilities
AVERAGES
- Mean, median, mode
- Moving averages
- Mean for frequency tables (including grouped data)
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