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Pure Mathematics 1 Practice
116 Tests • 1,740 Questions
Paper 1 • 75 marks • 1 hour 50 minutes
1.1 Quadratics
1.1.1 Completing the square and quadratic graphs
2 Tests • 30 Questions1.1.2 Discriminant and nature of roots
2 Tests • 30 Questions1.1.3 Quadratic equations and inequalities
2 Tests • 30 Questions1.1.4 Linear–quadratic simultaneous equations
1 Test • 15 Questions1.1.5 Equations quadratic in a function
1 Test • 15 Questions
1.2 Functions
1.2.1 Functions, domain and range
2 Tests • 30 Questions1.2.2 Composite functions
2 Tests • 30 Questions1.2.3 One-one and inverse functions
2 Tests • 30 Questions1.2.4 Graph transformations
1 Test • 15 Questions
1.3 Coordinate geometry
1.3.1 Straight-line equations
2 Tests • 30 Questions1.3.2 Gradients, distances, midpoints, parallel and perpendicular lines
1 Test • 15 Questions1.3.3 Equations of circles
2 Tests • 30 Questions1.3.4 Lines, circles and tangents
2 Tests • 30 Questions1.3.5 Graph intersections and parameter conditions
1 Test • 15 Questions
1.4 Circular measure
1.4.1 Radians and degree–radian conversion
2 Tests • 30 Questions1.4.2 Arc length and sector area
2 Tests • 30 Questions1.4.3 Combined sector and triangle problems
1 Test • 15 Questions
1.5 Trigonometry
1.5.1 Trigonometric graphs and transformations
2 Tests • 30 Questions1.5.2 Exact values and related angles
2 Tests • 30 Questions1.5.3 Inverse trigonometric relations and principal values
2 Tests • 30 Questions1.5.4 Trigonometric identities and simplification
2 Tests • 30 Questions1.5.5 Trigonometric equations in specified intervals
2 Tests • 30 Questions
1.6 Series
1.6.1 Binomial expansion for positive integer powers
2 Tests • 30 Questions1.6.2 Arithmetic progressions
2 Tests • 30 Questions1.6.3 Geometric progressions
2 Tests • 30 Questions1.6.4 Convergence, sum to infinity and mixed progression problems
2 Tests • 30 Questions
1.7 Differentiation
1.7.1 Gradient of a curve and derivative notation
1 Test • 15 Questions1.7.2 Differentiating powers and composite functions
2 Tests • 30 Questions1.7.3 Tangents, normals, increasing and decreasing functions
2 Tests • 30 Questions1.7.4 Rates of change and connected rates of change
2 Tests • 30 Questions1.7.5 Stationary points, maxima, minima and curve sketching
2 Tests • 30 Questions
1.8 Integration
1.8.1 Integration as the reverse of differentiation
2 Tests • 30 Questions1.8.2 Constants of integration and equations of curves
1 Test • 15 Questions1.8.3 Definite integration
2 Tests • 30 Questions1.8.4 Areas using definite integration
4 Tests • 60 Questions
Topic Mixed Practice
1.1 Quadratics
4 Tests • 60 Questions1.2 Functions
4 Tests • 60 Questions1.3 Coordinate geometry
4 Tests • 60 Questions1.4 Circular measure
4 Tests • 60 Questions1.5 Trigonometry
4 Tests • 60 Questions1.6 Series
4 Tests • 60 Questions1.7 Differentiation
4 Tests • 60 Questions1.8 Integration
4 Tests • 60 Questions
Full-Syllabus Mixed Practice
Pure Mathematics 1 Full-Syllabus Mixed Practice
20 Tests • 300 Questions
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