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DP IB Maths: AA HL

Topic Questions

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5.5 Optimisation

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Question 1a

Marks: 2

    Assess your score
      
    Key Concepts
    Differentiating Powers of x
    Modelling with Differentiation

    Question 1b

    Marks: 5

      Assess your score
        
      Key Concepts
      Modelling with Differentiation

      Question 2a

      Marks: 4

        Assess your score
          
        Key Concepts
        Differentiating Powers of x
        Modelling with Functions

        Question 2b

        Marks: 2

          Assess your score
            
          Key Concepts
          Modelling with Functions

          Question 3a

          Marks: 5

            Assess your score
              
            Key Concepts
            Volume of 3D Shapes
            Surface Area of 3D Shapes

            Question 3b

            Marks: 3

              Assess your score
                
              Key Concepts
              Modelling with Differentiation
              Key Features of Graphs

              Question 4a

              Marks: 6

                Assess your score
                  
                Key Concepts
                Volume of 3D Shapes
                Modelling with Differentiation

                Question 4b

                Marks: 4

                  Assess your score
                    
                  Key Concepts
                  Volume of 3D Shapes

                  Question 5a

                  Marks: 2

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                    Question 5b

                    Marks: 3

                      Assess your score
                        
                      Key Concepts
                      Displacement, Velocity & Acceleration
                      Key Features of Graphs

                      Question 5c

                      Marks: 3

                        Assess your score
                          
                        Key Concepts
                        Displacement, Velocity & Acceleration
                        Stationary Points & Turning Points

                        Question 5d

                        Marks: 4

                          Assess your score
                            
                          Key Concepts
                          Displacement, Velocity & Acceleration
                          Differentiation for Kinematics

                          Question 6a

                          Marks: 5

                            Assess your score
                              
                            Key Concepts
                            Stationary Points & Turning Points
                            Differentiating Powers of x

                            Question 6b

                            Marks: 4

                              Assess your score
                                
                              Key Concepts
                              Stationary Points & Turning Points
                              Testing for Local Minimum & Maximum Points

                              Question 6c

                              Marks: 1

                                Assess your score
                                  
                                Key Concepts
                                Modelling with Differentiation
                                Stationary Points & Turning Points

                                Question 6d

                                Marks: 2

                                  Assess your score
                                    
                                  Key Concepts
                                  Stationary Points & Turning Points
                                  Modelling with Differentiation

                                  Question 7a

                                  Marks: 2

                                    Assess your score
                                      
                                    Key Concepts
                                    Modelling with Differentiation

                                    Question 7b

                                    Marks: 3

                                      Assess your score
                                        
                                      Key Concepts
                                      Graphing Functions
                                      Key Features of Graphs

                                      Question 7c

                                      Marks: 4

                                        Assess your score
                                          
                                        Key Concepts
                                        Increasing & Decreasing Functions
                                        Differentiating Powers of x

                                        Question 7d

                                        Marks: 5

                                          Assess your score
                                            
                                          Key Concepts
                                          Introduction to Derivatives
                                          Modelling with Differentiation

                                          Question 8a

                                          Marks: 9

                                            Assess your score
                                              
                                            Key Concepts
                                            Surface Area of 3D Shapes
                                            Modelling with Differentiation

                                            Question 8b

                                            Marks: 2

                                              Assess your score
                                                

                                              Question 9a

                                              Marks: 6

                                                Assess your score
                                                  
                                                Key Concepts
                                                Stationary Points & Turning Points
                                                Differentiating Powers of x

                                                Question 9b

                                                Marks: 4

                                                  Assess your score
                                                    
                                                  Key Concepts
                                                  Testing for Local Minimum & Maximum Points

                                                  Question 10a

                                                  Marks: 11

                                                    Assess your score
                                                      
                                                    Key Concepts
                                                    Modelling with Differentiation
                                                    Finding the Constant of Integration

                                                    Question 10b

                                                    Marks: 4

                                                      Assess your score
                                                        
                                                      Key Concepts
                                                      Modelling with Differentiation


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