GCSE Maths (9-1) Foundation Exam

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

Year Board Spec 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

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

new gcse 9-1 grading

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
  • Factorising quadratics
  • 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
Sample questions  Sample answers

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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