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OCR GCSE Maths

Revision Notes

Home / GCSE / Maths / OCR / Revision Notes / 1. Number / 1.1 Arithmetic / 1.1.6 Time


1.1.6 Time


What do I need to know about time for GCSE?

  • Both 12-hour and 24-hour times could be used
  • In the 12-hour clock system ...
    • AM is between midnight (12am) and midday (12pm)
    • PM is between midday (12pm) and midnight (12am)

  • Times may have to be read from both analogue and digital clocks
  • Times may have to be read from timetables

Time Notes fig1 (1), downloadable IGCSE & GCSE Maths revision notes Time Notes fig1 (2), downloadable IGCSE & GCSE Maths revision notes

  • Time does not work like the rest of the number system (based on 10s, 100s, etc) so calculations can get awkward
    • 60 seconds in a minute
    • 24 hours in a day
    • ... and many more !

 

Time Notes fig2 (1), downloadable IGCSE & GCSE Maths revision notes Time Notes fig2 (2), downloadable IGCSE & GCSE Maths revision notes

How do I read a clock?

  • A 12-hour clock goes round once for am and once for pm
    • am is midnight (12am) to midday (12pm)
    • pm is midday (12pm) to midnight (12am)

  • A 24-hour clock uses four digits – two for the hour, two for the minutes
    • 1134 is 11.34am
    • The day starts at midnight which is 0000
    • 1pm is 1300, 2pm is 1400, ... 10pm is 2200, 11pm is 2300

 Time Notes fig3, downloadable IGCSE & GCSE Maths revision notes

  • Analogue clocks work in 12-hour time
  • On the minute hand each number is worth five minutes
    • Some clocks will have markings for individual minutes

  • The hour hand is always moving
    • At “half past” the hour hand should be halfway between two numbers

 

Time Notes fig4, downloadable IGCSE & GCSE Maths revision notes

  • Digital clocks can use either 24 hour time or 12-hour time
    • A “:” is often displayed between the hours and minutes

      eg 1245 would be displayed as 12:45
    • am or pm does not need to be specified with 24-hour time, it may or may not be shown on a 12-hour time
    • For single-digit hours, clocks often miss out the first zero

      eg 09:23 would be displayed as 9:23

  • Timetables (for a bus or train for example) use the 24‑hour time
    • Times are listed as four digits without the “:”

 Time Notes fig5, downloadable IGCSE & GCSE Maths revision notes

How do I calculate with time in terms of the 12-hour clock?

  • Work in chunks of time
    • eg calculate the minutes until the next hour, then whole hours, then

      minutes until a final time

  • Ensure you know when the 12-hour clock switches from am to pm
    • Remember midday is 12pm and midnight is 12am

 Time Notes fig6, downloadable IGCSE & GCSE Maths revision notes

How do I calculate with time in terms of the 24-hour clock?

  • Work in chunks of time just like the 12 hour clock calculations
    • eg. calculate the minutes until the next hour, then whole hours, then

      minutes until a final time

  • If the hour is greater than 12, subtract 12 from it to find the 12-hour PM hour

 Time Notes fig7, downloadable IGCSE & GCSE Maths revision notes

How do I use bus and train timetables?

  • These tend to use the 24-hour clock system
  • Each column represents a different bus/train – these are often called “services”
    • eg “The 0810 service from London King’s Cross”

  • The time in each cell usually indicate departure times (when the bus/train leaves that stop/station)
    • The last location on the list usually shows the arrival time

 Time Notes fig8 (1), downloadable IGCSE & GCSE Maths revision notes Time Notes fig8 (2), downloadable IGCSE & GCSE Maths revision notes

Exam Tip

Even when allowed, put that calculator away for time-based questions, they are pretty useless for these calculations!

Worked Example

Time Example sol abc (q1), downloadable IGCSE & GCSE Maths revision notes Time Example sol abc (q2), downloadable IGCSE & GCSE Maths revision notes

Worked Example

Time Example sol abc (1), downloadable IGCSE & GCSE Maths revision notes Time Example sol abc (2), downloadable IGCSE & GCSE Maths revision notes Time Example sol d, downloadable IGCSE & GCSE Maths revision notes



  • 1. Number
    • 1.1 Arithmetic
      • 1.1.1 Multiplication (non-Calc)
        • 1.1.2 Division (non-Calc)
          • 1.1.3 Mathematical Symbols
            • 1.1.4 Negative Numbers
              • 1.1.5 Order By Size
                • 1.1.6 Time
                • 1.2 Fractions
                  • 1.2.1 Mixed Numbers & Top Heavy Fractions
                    • 1.2.2 Adding & Subtracting Fractions
                      • 1.2.3 Multiplying & Dividing Fractions
                      • 1.3 Basic Percentages
                        • 1.3.1 Basic Percentages
                          • 1.3.2 Percentage Increases & Decreases
                          • 1.4 Reverse Percentages
                            • 1.4.1 Reverse Percentages
                            • 1.5 Compound Interest
                              • 1.5.1 Compound Interest
                                • 1.5.2 Depreciation
                                • 1.6 LCM / HCF / Prime Factors
                                  • 1.6.1 Prime Factors
                                    • 1.6.2 HCFs & LCMs
                                    • 1.7 Roots & Indices
                                      • 1.7.1 Roots & Indices - Basics
                                        • 1.7.2 Roots & Indices - Harder
                                        • 1.8 Rounding & Estimation
                                          • 1.8.1 Rounding & Estimation
                                          • 1.9 Standard Form
                                            • 1.9.1 Standard Form - Basics
                                              • 1.9.2 Standard Form - Harder
                                              • 1.10 Bounds & Error Intervals
                                                • 1.10.1 Bounds & Error Intervals - Basics
                                                  • 1.10.2 Calculations using Bounds
                                                  • 1.11 Recurring Decimals
                                                    • 1.11.1 Recurring Decimals
                                                    • 1.12 Surds
                                                      • 1.12.1 Surds - Basics
                                                        • 1.12.2 Surds - Rationalising Denominators
                                                        • 1.13 Using a Calculator
                                                          • 1.13.1 Using a Calculator
                                                          • 1.14 Counting
                                                            • 1.14.1 Counting
                                                            • 1.15 Best Buy
                                                              • 1.15.1 Best Buy
                                                              • 1.16 Exchange Rates
                                                                • 1.16.1 Exchange Rates
                                                              • 2. Algebra Basics
                                                                • 2.1 Expanding One Bracket
                                                                  • 2.1.1 Expanding One Bracket
                                                                  • 2.2 Simple Factorisation
                                                                    • 2.2.1 Simple Factorisation
                                                                    • 2.3 Expanding Quadratics
                                                                      • 2.3.1 Expanding Two Brackets - Basics
                                                                        • 2.3.2 Expanding Two Brackets - Harder
                                                                          • 2.3.3 Expanding Three Brackets
                                                                          • 2.4 Factorising Quadratics
                                                                            • 2.4.1 Factorising Quadratics - Basics
                                                                              • 2.4.2 Factorising Quadratics - Harder
                                                                                • 2.4.3 Difference of Two Squares
                                                                                  • 2.4.4 Factorising Quadratics - General
                                                                                  • 2.5 Rearranging Formulae
                                                                                    • 2.5.1 Rearranging Formulae - Basics
                                                                                      • 2.5.2 Rearranging Formulae - Harder
                                                                                      • 2.6 Solving Linear Equations
                                                                                        • 2.6.1 Collecting Like Terms
                                                                                          • 2.6.2 Solving Linear Equations
                                                                                            • 2.6.3 Forming Expressions & Equations
                                                                                            • 2.7 Substitution
                                                                                              • 2.7.1 Substitution
                                                                                              • 2.8 Proof/Reasoning
                                                                                                • 2.8.1 Proof/Reasoning - Algebraic
                                                                                                • 2.9 Functions
                                                                                                  • 2.9.1 Functions - Basics
                                                                                                    • 2.9.2 Compound Functions
                                                                                                      • 2.9.3 Inverse Functions
                                                                                                      • 2.10 Algebraic Fractions
                                                                                                        • 2.10.1 Algebraic Fractions - Adding & Subtracting
                                                                                                          • 2.10.2 Algebraic Fractions - Simplifying Fractions
                                                                                                            • 2.10.3 Algebraic Fractions - Multiplying & Dividing
                                                                                                          • 3. Solving Equations & Inequalities
                                                                                                            • 3.1 Quadratic Formula
                                                                                                              • 3.1.1 Quadratic Formula
                                                                                                              • 3.2 Completing the Square
                                                                                                                • 3.2.1 Completing the Square
                                                                                                                • 3.3 Linear Simultaneous Equations
                                                                                                                  • 3.3.1 Linear Simultaneous Equations
                                                                                                                  • 3.4 Quadratic Simultaneous Equations
                                                                                                                    • 3.4.1 Quadratic Simultaneous Equations
                                                                                                                    • 3.5 Inequalities
                                                                                                                      • 3.5.1 Solving Inequalities - Linear
                                                                                                                        • 3.5.2 Solving Inequalities - Quadratic
                                                                                                                        • 3.6 Inequalities on a Graph
                                                                                                                          • 3.6.1 Inequalities on Graphs - Drawing
                                                                                                                            • 3.6.2 Inequalities on Graphs - Interpreting
                                                                                                                            • 3.7 Iteration
                                                                                                                              • 3.7.1 Iteration - Using a Calculator
                                                                                                                                • 3.7.2 Iteration - Applications
                                                                                                                                • 3.8 Equations & Problem Solving
                                                                                                                                  • 3.8.1 Equations & Problem Solving
                                                                                                                                • 4. Sequences
                                                                                                                                  • 4.1 Sequences - Linear
                                                                                                                                    • 4.1.1 Sequences - Linear
                                                                                                                                    • 4.2 Sequences - Quadratic
                                                                                                                                      • 4.2.1 Sequences - Quadratic
                                                                                                                                      • 4.3 Fibonacci & Geometric
                                                                                                                                        • 4.3.1 Sequences - Basics
                                                                                                                                          • 4.3.2 Sequences - Identifying
                                                                                                                                            • 4.3.3 Sequences - Others
                                                                                                                                          • 5. Graphs
                                                                                                                                            • 5.1 Coordinates
                                                                                                                                              • 5.1.1 Coordinates
                                                                                                                                              • 5.2 Drawing Graphs
                                                                                                                                                • 5.2.1 Drawing Graphs - Shapes
                                                                                                                                                  • 5.2.2 Drawing Graphs - Using a Table
                                                                                                                                                    • 5.2.3 Drawing Graphs - Trig Graphs
                                                                                                                                                    • 5.3 Equation of a Line / y = mx + c
                                                                                                                                                      • 5.3.1 Straight Lines - Finding Equations
                                                                                                                                                        • 5.3.2 Straight Lines - Drawing Graphs
                                                                                                                                                        • 5.4 Perpendicular Lines
                                                                                                                                                          • 5.4.1 Perpendicular Lines
                                                                                                                                                          • 5.5 Transformations of Graphs
                                                                                                                                                            • 5.5.1 Transformations of Graphs
                                                                                                                                                            • 5.6 D-T / V-T Graphs
                                                                                                                                                              • 5.6.1 Distance-Time Graphs
                                                                                                                                                                • 5.6.2 Speed-Time Graphs
                                                                                                                                                                • 5.7 Solving Equations using Graphs
                                                                                                                                                                  • 5.7.1 Solving Equations using Graphs
                                                                                                                                                                  • 5.8 Equation of a Circle
                                                                                                                                                                    • 5.8.1 Circles - Equation & Graphs
                                                                                                                                                                      • 5.8.2 Circles - Finding Tangents
                                                                                                                                                                      • 5.9 Estimating Areas & Gradients of Graphs
                                                                                                                                                                        • 5.9.1 Estimating Areas & Gradients of Graphs
                                                                                                                                                                      • 6. Ratios, Proportion & Rate of Change
                                                                                                                                                                        • 6.1 Ratios
                                                                                                                                                                          • 6.1.1 Ratios
                                                                                                                                                                          • 6.2 Direct & Inverse Proportion
                                                                                                                                                                            • 6.2.1 Direct & Inverse Proportion
                                                                                                                                                                            • 6.3 Speed, Density & Pressure
                                                                                                                                                                              • 6.3.1 Speed, Density & Pressure
                                                                                                                                                                                • 6.3.2 Speed, Density & Pressure - Harder
                                                                                                                                                                              • 7. Geometry & Measures
                                                                                                                                                                                • 7.1 Angles in Parallel Lines
                                                                                                                                                                                  • 7.1.1 Angles in Parallel Lines
                                                                                                                                                                                  • 7.2 Angles in Polygons
                                                                                                                                                                                    • 7.2.1 Angles in Polygons
                                                                                                                                                                                    • 7.3 Similarity - Lengths
                                                                                                                                                                                      • 7.3.1 Similarity - Lengths
                                                                                                                                                                                      • 7.4 Similarity - Areas & Volumes
                                                                                                                                                                                        • 7.4.1 Similarity - Areas & Volumes
                                                                                                                                                                                        • 7.5 Congruent Triangles
                                                                                                                                                                                          • 7.5.1 Congruent Triangles
                                                                                                                                                                                          • 7.6 Transformations
                                                                                                                                                                                            • 7.6.1 Transformations - Rotation
                                                                                                                                                                                              • 7.6.2 Transformations - Reflection
                                                                                                                                                                                                • 7.6.3 Transformations - Translation
                                                                                                                                                                                                  • 7.6.4 Transformations - Enlargement
                                                                                                                                                                                                    • 7.6.5 Combined Transformations
                                                                                                                                                                                                    • 7.7 Transformations - Enlargement (Negative Scale Factor)
                                                                                                                                                                                                      • 7.7.1 Transformations - Enlargement (Negative Scale Factor)
                                                                                                                                                                                                      • 7.8 Area - Triangles & Quadrilaterals
                                                                                                                                                                                                        • 7.8.1 Area - Formulae
                                                                                                                                                                                                          • 7.8.2 Area - Adding & Subtracting
                                                                                                                                                                                                          • 7.9 Circles - Area & Circumference
                                                                                                                                                                                                            • 7.9.1 Circles - Area & Circumference
                                                                                                                                                                                                            • 7.10 Circles - Sector & Arcs
                                                                                                                                                                                                              • 7.10.1 Circles - Sector Areas & Arc Lengths
                                                                                                                                                                                                              • 7.11 Problem Solving with Areas
                                                                                                                                                                                                                • 7.11.1 Problem Solving with Areas
                                                                                                                                                                                                                  • 7.11.2 Converting Lengths & Areas
                                                                                                                                                                                                                  • 7.12 3D Shapes
                                                                                                                                                                                                                    • 7.12.1 3D Shapes - Surface Area
                                                                                                                                                                                                                      • 7.12.2 3D Shapes - Volume
                                                                                                                                                                                                                      • 7.13 Pythagoras
                                                                                                                                                                                                                        • 7.13.1 Pythagoras Theorem
                                                                                                                                                                                                                        • 7.14 SOHCAHTOA
                                                                                                                                                                                                                          • 7.14.1 SOHCAHTOA
                                                                                                                                                                                                                            • 7.14.2 3D Pythagoras & SOHCAHTOA
                                                                                                                                                                                                                            • 7.15 Sine/Cos Rules & Area of a Triangle
                                                                                                                                                                                                                              • 7.15.1 Sine & Cosine Rules, Area of a Triangle - Basics
                                                                                                                                                                                                                                • 7.15.2 Sine & Cosine Rules, Area of a Triangle - Harder
                                                                                                                                                                                                                                • 7.16 Circle Theorems
                                                                                                                                                                                                                                  • 7.16.1 Circle Theorems - Angles at Centre & Circumference
                                                                                                                                                                                                                                    • 7.16.2 Circles Theorems - Tangents
                                                                                                                                                                                                                                      • 7.16.3 Circle Theorems - Cyclic Quadrilaterals
                                                                                                                                                                                                                                        • 7.16.4 Circle Theorems - Alternative Segment
                                                                                                                                                                                                                                        • 7.17 Loci & Construction
                                                                                                                                                                                                                                          • 7.17.1 Loci & Construction
                                                                                                                                                                                                                                          • 7.18 Bearings & Scale
                                                                                                                                                                                                                                            • 7.18.1 Bearings & Scale
                                                                                                                                                                                                                                            • 7.19 Vectors
                                                                                                                                                                                                                                              • 7.19.1 Vectors - Basics
                                                                                                                                                                                                                                                • 7.19.2 Vectors - Finding Paths
                                                                                                                                                                                                                                                  • 7.19.3 Vectors - Proving Things
                                                                                                                                                                                                                                                  • 7.20 Drawing Plans & Elevations
                                                                                                                                                                                                                                                    • 7.20.1 Drawing Plans & Elevations
                                                                                                                                                                                                                                                    • 7.21 Trigonometry - Exact Values
                                                                                                                                                                                                                                                      • 7.21.1 Trigonometry - Exact Values
                                                                                                                                                                                                                                                    • 8. Probability
                                                                                                                                                                                                                                                      • 8.1 Basic Probability
                                                                                                                                                                                                                                                        • 8.1.1 Basic Probability
                                                                                                                                                                                                                                                        • 8.2 Venn Diagrams & Two Way Tables
                                                                                                                                                                                                                                                          • 8.2.1 Probability - Venn Diagrams
                                                                                                                                                                                                                                                            • 8.2.2 Probability - Two Way Tables
                                                                                                                                                                                                                                                              • 8.2.3 Set Notation & Venn Diagrams
                                                                                                                                                                                                                                                              • 8.3 Combined Probability
                                                                                                                                                                                                                                                                • 8.3.1 Combined Probability - Basics
                                                                                                                                                                                                                                                                  • 8.3.2 Combined Probability - Harder
                                                                                                                                                                                                                                                                • 9. Statistics
                                                                                                                                                                                                                                                                  • 9.1 Mean, Median & Mode
                                                                                                                                                                                                                                                                    • 9.1.1 Mean, Median & Mode
                                                                                                                                                                                                                                                                      • 9.1.2 Averages from Tables & Charts
                                                                                                                                                                                                                                                                        • 9.1.3 Averages from Grouped Data
                                                                                                                                                                                                                                                                          • 9.1.4 Calculations with the Mean
                                                                                                                                                                                                                                                                            • 9.1.5 IQR & Range
                                                                                                                                                                                                                                                                            • 9.2 Box Plots
                                                                                                                                                                                                                                                                              • 9.2.1 Box Plots
                                                                                                                                                                                                                                                                              • 9.4 Frequency Polygons
                                                                                                                                                                                                                                                                                • 9.4.1 Frequency Polygons
                                                                                                                                                                                                                                                                                • 9.5 Scatter Graphs (inc. Time Series)
                                                                                                                                                                                                                                                                                  • 9.5.1 Scatter Graphs
                                                                                                                                                                                                                                                                                    • 9.5.2 Time Series Graphs
                                                                                                                                                                                                                                                                                    • 9.6 Histograms
                                                                                                                                                                                                                                                                                      • 9.6.1 Histograms
                                                                                                                                                                                                                                                                                      • 9.7 Cumulative Frequency Graphs
                                                                                                                                                                                                                                                                                        • 9.7.1 Cumulative Frequency
                                                                                                                                                                                                                                                                                        • 9.8 Bar Charts
                                                                                                                                                                                                                                                                                          • 9.8.1 Bar Charts
                                                                                                                                                                                                                                                                                          • 9.9 Population & Samples
                                                                                                                                                                                                                                                                                            • 9.9.1 Comparing Distributions
                                                                                                                                                                                                                                                                                              • 9.9.2 Capture - Recapture


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                                                                                                                                                                                                                                                                                            Author: Lucy

                                                                                                                                                                                                                                                                                            Lucy has been a passionate Maths teacher for over 12 years, helping to engage interest and develop confidence in the subject at all levels. As Head of Department and Director of Maths, Lucy has advised schools across both academy trusts and an entire city, where her role was to support and coach teachers to improve Maths teaching for all.


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