# Ultimate GCSE Higher Maths Revision Video and Booklet

## Accompanying Question Booklet and Answers

Ultimate Higher Question Booklet

## OCR GCSE Higher Revision

Video Times

Intro – 00:00:00

Multiplying Fractions – 00:06:21

Dividing Fractions – 00:07:30

Reciprocals – 00:09:16

Arithmetic with Decimals – 00:10:56

Fractions Decimals Percentages – 00:13:24

Recurring Decimals to Fractions – 00:17:20

Significant Figures – 00:21:17

Use of a Calculator – 00:24:02

Estimation – 00:26:39

Currency – 00:31:03

Conversion Graphs – 00:32:21

Indices – 00:34:07

Laws of Indices – 00:35:41

Negative Indices – 00:37:45

Fractional Indices – 00:39:47

LCM – 00:47:45

HCF – 00:48:23

Product of Primes – 00:49:10

Applying Product of Primes – 00:51:44

LCM & HCF (Product of Primes) – 00:56:10

Standard Form – 00:59:52

Expressing as a Percentage – 01:14:23

Percentages of Amounts NC – 01:15:43

Percentages of Amounts Calc – 01:17:50

Percentages greater than 100% – 01:19:17

Percentage Change – 01:21:03

Simple Interest – 01:22:03

Compound Interest 1 – 01:23:13

Multipliers – 01:25:14

Compound Interest 2 – 01:27:41

Growth and Decay – 01:29:10

Finance – 01:30:46

Reverse Percentages – 01:31:41

Simplifying Ratio – 01:33:46

Ratio 1:n – 01:35:16

Forming Ratio – 01:36:58

Ratio and Fractions – 01:38:00

Sharing in a Ratio – 01:40:37

Given One Quantity – 01:42:17

Two Ratios – 01:43:50

Ratios and Equations – 01:46:22

Direct Proportion – 01:49:23

Proportional Graphs 1 – 01:52:14

Inverse Proportion – 01:52:50

Proportional Graphs 2 – 01:56:30

Proportion – Time – 01:56:56

Rounding – High/Low – 01:58:10

Error Intervals – 02:00:42

Upper/Lower Bounds – 02:05:33

Applying Bounds – 02:07:01

Surds – 02:10:33

Rationalising the Denominator 1 – 02:18:13

Rationalising the Denominator 2 – 02:21:15

Product Rule for Counting – 02:23:52

Angles in Polygons – 02:26:41

Angles in Parallel Lines – 02:32:32

Bearings – 02:35:52

Back Bearings – 02:41:46

Constructions – 02:44:27

Loci – 02:51:12

Views – 02:55:00

Speed, Distance, Time – 02:57:20

Distance-Time Graphs – 03:02:16

Density – 03:04:14

Pressure – 03:07:23

Popultation Density – 03:08:51

Parts of the Circle – 03:10:46

Circumference – 03:11:39

Perimeter of a Semi-Circle – 03:13:37

Arc Length – 03:16:09

Area of a Trapezium – 03:17:29

Area of Compound Shapes – 03:18:29

Area of a Circle – 03:19:39

Area of a Semi-Circle – 03:21:16

Area of a Sector – 03:22:07

Volume of a Prism – 03:23:07

Volume of a Cylinder – 03:24:22

In Terms of Pi – 03:25:28

Volume of a Cone – 03:27:53

Volume of a Pyramid – 03:28:36

Volume of a Sphere – 03:29:07

Volume of a Frustum – 03:29:47

Surface Area – 03:32:26

Surface Area of a Cylinder – 03:34:41

Surface Area of a Cone – 03:37:01

Surface Area of a Sphere – 03:38:19

Units (Area and Volume) – 03:38:47

Imperial Units – 03:42:01

Pythagoras – 03:43:19

Trigonometry – 03:46:32

Exact Trig Values – 03:52:56

3D Pythagoras – 03:54:23

3D Trigonometry – 03:56:59

Sine Rule – 04:00:15

Ambiguous Case – 04:05:28

Cosine Rule – 04:10:55

1/2abSinC – 04:16:21

Area of a Segment – 04:17:19

Translations – 04:19:41

Rotations – 04:20:57

Reflections – 04:22:22

Enlargements – 04:26:51

Negative Scale Factors – 04:28:59

Invariant Points – 04:31:11

Similar Shapes – 04:32:36

Congruent Triangles – 04:33:57

Similar Shapes (area and Volume) – 04:36:39

Circle Theorems – 04:40:34

Geometric Proof – 04:50:46

Column Vectors – 04:54:34

Vectors – 04:59:29

Collecting Like Terms – 05:05:17

Substitution – 05:06:09

Laws of Indices – 05:08:16

Expanding Brackets – 05:09:48

Expanding 2 Brackets – 05:11:03

Expanding 3 Brackets – 05:14:17

Factorisation – 05:16:25

Difference Between 2 Squares – 05:28:52

Equations – Letters Both Sides – 05:33:04

Forming Equations – 05:35:08

Completing the Square – 05:46:21

Changing the Subject – 05:50:03

Algebraic Fractions – 05:54:37

Equations – Algebraic Fractions – 06:05:42

Identities – 06:12:23

Drawing Linear Graphs – 06:15:58

Midpoint of a Line – 06:17:22

Coordinates and Ratio – 06:18:32

Length of a Line – 06:21:04

Equation of a Line – 06:25:57

Parallel Lines – 06:33:23

Perpendicular Lines – 06:35:15

Real-Life Graphs – 06:38:02

Simultaneous Equations – 06:40:13

Graphical Solutions – 06:50:30

Non-Linear Simultaneous Eqns – 06:53:51

Equation of a Circle – 06:57:32

Equation of a Tangent – 06:58:28

Rates of Change – 07:02:36

Area Under a Graph – 07:07:22

Composite Functions – 07:14:00

Inverse Functions – 07:17:51

Intersection Points – 07:28:53

Graphical Solutions – 07:31:37

Reciprocal Graphs – 07:37:28

Cubic Graphs – 07:40:52

Exponential Graphs – 07:43:53

Trig Graphs – 07:46:30

Transforming Graphs – 07:48:31

Completing the Square Quadratics – 07:53:47

Solving Inequalities – 07:56:31

Inequalities on a Number Line – 07:59:34

Graphical Inequalities – 08:03:10

Iteration – 08:14:47

Triangular Numbers – 08:22:33

Fibonacci – 08:23:06

nth Term – 08:23:59

Geometric Progressions – 08:33:07

Algebraic Proof – 08:36:32

Frequency Trees – 08:40:51

Two-way Tables – 08:41:44

Composite Bar Charts – 08:43:28

Pie Charts – 08:45:01

Scatter Graphs – 08:51:02

Frequency Polygons – 08:54:23

Mode from Frequency Tables – 08:56:47

Mean from Frequency Tables – 08:57:29

Median from Frequency Tables – 08:58:42

Combined Mean – 08:59:36

Estimated Mean – 09:02:04

Modal Class – 09:04:53

Class containing the Median – 09:05:17

Linear Interpolation – 09:07:43

Stem and Leaf – 09:11:08

Quartiles – 09:13:04

Cumulative Frequency – 09:15:30

Box Plots – 09:21:50

Histograms – 09:24:24

Probability – 09:44:36

Not Happening – 09:45:33

Expectation – 09:46:02

Relative Frequency – 09:47:06

Tree Diagrams – 09:48:51

Independent Events – 09:53:11

Tree Diagram (Conditional) – 09:54:37

Conditional Probability – 09:59:08

Venn Diagrams – 10:01:38

Samples – 10:07:21

Capture Recapture – 10:09:20

Summary – 10:12:43

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