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Quadratics

Factorising I

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Factorising II

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Parabolas

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Completing the square

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Finding the vertex

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

The quadratic formula

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

The discriminant

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Points of intersection

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Quadratic inequalities

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Quadratics in disguise

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Coordinate Geometry

Distance between points

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Midpoints

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Gradient

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Equation of a straight line

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Parallel and perpendicular

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Equation of a circle

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Tangent and normal to a circle

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Polynomials

Function notation

Cubic functions

Problem 1

Problem 2

Problem 3

Long division

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Long division

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

The factor and remainder theorems

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Partial Fractions

Problem 1

Problem 2

Inequalities

Functions

Modulus equations I

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Translation of graphs

Problem 1

Problem 2

Problem 3

Problem 4

Enlargement of graphs

Problem 1

Problem 2

Problem 3

Sequences

Explicit sequences

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Recursive sequences

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Increasing/decreasing sequences

Problem 1

Problem 2

Problem 3

Periodic sequences

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Partial sums

Problem 1

Sigma notation

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Arithmetic Sequences

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Arithmetic Series

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Geometric sequences

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Geometric series

Problem 1

Problem 2

Problem 3

Problem 4

Sum to infinity

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Binomial expansion

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Generalised expansion

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Trigonometry

Basic trigonometry

Sin, cos and tan

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Trigonometric identites

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Using identities

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Transformed equations

The cosine rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

The sine rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Area of a triangle

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Radians

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Arcs and sectors

Problem 1

Problem 2

Problem 3

Problem 4

Addition formulae

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Double angle formulae

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Harmonic Form

Problem 1

Problem 2

Problem 3

Problem 4

Reciprocal functions

Problem 1

Problem 2

Problem 3

Small angle approximations

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Exponentials and Logarithms

Exponential functions

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Logarithms

Problem 1

Problem 2

Problem 3

Logarithms II

Problem 1

Problem 2

Problem 3

Problem 4

Laws of logarithms I

Problem 1

Problem 2

Laws of logarithms II

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Logarithm equations

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Equations with $e$

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Differentiation

Estimating Change

Estimating Gradients

First principles

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Differentiating Polynomials (and beyond)

Problem 1

Problem 2

Tangents and Normals

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Turning points

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Optimisation

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Differentiation of sin and cos

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Differentiating $e^{kx}$

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

The Product Rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

The Chain Rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

The quotient rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Implicit differentiation

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Parametric curves

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Related rates of change

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Convexity and concavity

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Numerical Methods

Change of sign rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Iteration

Problem 1

Problem 2

Problem 3

Problem 4

Newton-Raphson

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

The trapezium rule

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Riemann sums

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Integration

Geometric area

Integrating $\sin^2$ and $\cos^2$

Integration by parts

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Integration by substitution (indefinite)

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Integration by substitution (definite)

Parametric integration

Problem 1

Problem 2

Problem 3

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Two circles, each of radius $3,$ are drawn below.

Intersecting circles

Find the area of the intersection of the two circles.

What type of triangle is this?

Intersecting with triangle

Each edge of the red triangle is a radius.

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Next pageProblem 4