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

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

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.