### GCSE Maths (9-1) Higher and Foundation Exam

##### Sample 9-1 maths higher and foundation papers are shown below. » New 9-1 grading statements

Year Board Spec Higher Paper Answers
2017 (prediction) Any   Online Tests Tests show answers
Sample Edexcel SP H1 H2 H3 H1 H2 H3
Specimen 1 Edexcel All Highers H1 H2 H3
Specimen 2 Edexcel H1 H2 H3 H1 H2 H3
Sample OCR SP H1 H2 H3 H1 H2 H3
Practice OCR H1-3 See Papers
Practice AQA SP H1 H2 H3 H1 H2 H3

Year Board Spec Foundation Paper Answers
2017 (prediction) Any   Online Tests Tests show answers
Sample Edexcel SP F1 F2 F3 F1 F2 F3
Specimen 1 Edexcel All foundations F1 F2 F3
Specimen 2 Edexcel F1 F2 F3 F1 F2 F3
Sample OCR SP F1 F2 F3 F1 F2 F3
Practice OCR F1-3 See Papers
Practice AQA SP F1 F2 F3 F1 F2 F3
EDEXCEL OCR AQA
3 papers: 1.5 hour each
NC, 2×C
80 marks each
3 papers: 1.5 hour each
NC, 2×C
100 marks each
3 papers: 1.5 hour each
NC, 2×C
80 marks each

A grade 4 will be equivalent to a present grade C and a grade 7 will be equivalent to a present grade A.

Foundation covers grades 5, 4, 3, 2, 1 (U) with Higher covering grades 9, 8, 7, 6, 5, 4, (3), (U)

###### New Foundation topics:
• Index laws
• Compound interest
• Direct and indirect proportion
• Simultaneous equations
• Cubic and reciprocal graphs
• Trigonometry - the sine, cosine and tangent ratios, including to know the exact values of sin, cos and tan 30°, 60° and 45°
• Arc lengths and sectors of circles
• Vectors
• Density
• Tree Diagrams
###### New Higher topics:
• Expand products of more than two binomials
• Interpret the reverse process as the 'inverse function'; interpret the succession of two functions as a 'composite function' (using formal function notation)
• Deduce turning points on a quadratic function by completing the square
• Estimating gradients of graphs and areas under graphs
• Simple geometric progressions including surds and interpret results in real-life cases
• Nth term of quadratic sequences
• Venn diagrams and conditional probability

###### Foundation Formulae to memorise:
• Pythagoras Theorem: a² =b² + c²

• Trig. ratios: sinθ=O/H, cosθ=A/H, tanθ=O/A

• Area of a trapezium: ½(a + b)h

• Volume prism: cross sectional area × length
###### Higher Formulae to memorise
• Quadratic formula, x = – b ± √(b² – 4ac) / 2a
• Cosine rule: a2 = b2 + c2 – 2bcCosA
• Sine Rule:  a sin A = b sin B = c sin C

• Area triangle = ½absinC
###### Geometry formula given:
• Curved surface area of cone
• Surface area of sphere
• Volume of sphere
• Volume of cone
###### Kinematic formula given:
• v = u + at
• s = ut + ½at2
• v2 = u2 + 2as.

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