The resources on this page are designed to support students with CCEA GCSE Further Mathematics.
Pure Mathematics
Algebraic Fractions
Algebraic Fractions (Simplifying) Video 601 Questions Answers
Algebraic Fractions (Add/Subtract – Part 1) Video 602 Questions Answers
Algebraic Fractions (Add/Subtract – Part 2) Video 603 Questions Answers
Algebraic Fractions (Add/Subtract – Part 3) Video 604 Questions Answers
Algebraic Fractions (Multiplying) Video 605 Questions Answers
Algebraic Fractions (Dividing) Video 606 Questions Answers
Algebraic Fractions (More Multiplying and Dividing) Video 607 Questions Answers
Algebraic Manipulation
Expanding 3 Brackets Video 608 Questions Answers
Expanding 3 Brackets in Context Video 609 Questions Answers
Expanding 3 Brackets (further questions) Video 610 Questions Answers
Quadratic Equations
Solving by Factorising Video 611 Questions Answers
Quadratic Formula Video 612 Questions Answers
Forming and Solving Quadratics Video 613 Questions Answers
Algebraic Fractions (part 1) Video 614 Questions Answers
Algebraic Fractions (part 2) Video 615 Questions Answers
Completing the Square Video 616 Questions Answers
Completing the Square (Solving) Video 617 Questions Answers
Minimum Points (approach 1) Video 618 Questions Answers
Minimum Points (approach 2) Video 619 Questions Answers
Simultaneous Equations
Three Unknowns Video 620 Questions Answers
Three Unknowns (context) Video 621 Questions Answers
Quadratic Inequalities
Quadratic Inequalities Video 622 Questions Answers
Quadratic Inequalities (problems) Video 623 Questions Answers
Trigonometric Equations
Sin Graph Video 624 Questions Answers
Cos Graph Video 625 Questions Answers
Tan Graph Video 626 Questions Answers
CAST Diagram (introduction) Video 627 Questions Answers
Solving Trig Equations 1 Video 628 Questions Answers
Solving Trig Equations 2 Video 629 Questions Answers
Solving Harder Trig Equations Video 630 Questions Answers
Differentiation
Introduction Video 631 Questions Answers
Differentiation Video 632 Questions Answers
Differentiation (fractions) Video 633 Questions Answers
Differentiation (x on the denominator) Video 634 Questions Answers
Differentiation after Rearranging Video 635 Questions Answers
d2y/dx2 Video 636 Questions Answers
Gradient of a Curve Video 637 Questions Answers
Gradient of a Curve (finding the point(s)) Video 638 Questions Answers
Equation of a Tangent Video 639 Questions Answers
Equation of a Normal Video 640 Questions Answers
Parallel and Perpendicular lines to the tangent Video 641 Questions Answers
Parallel and Perpendicular lines to the normal Video 642 Questions Answers
Turning Points Video 643 Questions Answers
Nature of Turning Points Video 644 Questions Answers
Optimising Problems Video 645 Questions Answers
Sketch curve knowing maxima/minima Video 646 Questions Answers
Sketching Quadratics Video 646a Questions Answers
Sketching Cubics Video 646b Questions Answers
Integration
Integration (intro) Video 647 Questions Answers
Integration (fractions) Video 648 Questions Answers
Integration (rearrange) Video 649 Questions Answers
Find y if given dy/dx Video 650 Questions Answers
Definite Integral Video 651 Questions Answers
Definite Integrals on a Calculator Video 651a
Area Under a Curve Video 652 Questions Answers
Area (quadratics) Video 653 Questions Answers
Area (cubics) Video 654 Questions Answers
Logarithms
Introduction Video 655 Questions Answers
Logarithms on a Calculator Video 656 Questions Answers
More Logarithms Video 657 Questions Answers
Laws of Logs Video 658 Questions Answers
Laws (special cases) Video 659 Questions Answers
Logs (primes) Video 660 Questions Answers
Proving the Laws Video 661
Log/log Graphs Video 662 Questions Answers
Solving Index Equations Video 663 Questions Answers
Matrices
Multiplying Matrices (by a scalar) Video 664 Questions Answers
Multiplying Matrices (2×2 by 2×1) Video 665 Questions Answers
Multiplying Matrices (2×2 by 2×2) Video 666 Questions Answers
Identity Matrix Video 667 Questions Answers
Adding/Subtracting Matrices Video 668 Questions Answers
The Determinant Video 669 Questions Answers
Inverse of a 2×2 Matrix Video 670 Questions Answers
Solving Matrix Equations Video 671 Questions Answers
Simultaneous Equations using Matrices Video 672 Questions Answers
Mechanics
Kinematics
Displacement-time Graphs Video 673
Velocity-time Graphs Video 674
Equations of Motion
v = u + at Video 675
s = 1/2(u + v)t Video 676
v² = u² + 2as Video 677
s = ut + 1/2at² Video 678
s = vt – 1/2at² Video 679
Using Constant Acceleration Formulae Video 680
Vertical Motion Video 681
More Vertical Motion Video 682
Forces
Resolving Forces Video 683
Resultant Force (point) Video 684
Resultant Force (rectangle) Video 685
Resultant Force (inclined plane) Video 686
Equilibrium Video 687
Equilibrium (inclined plane) Video 688
Further Equilibrium Video 689
Newton’s Laws of Motion
Introduction Video 690
F = ma Video 691
Friction Video 692
Friction (inclined plane) Video 693
Horizontal Motion Video 694
Motion (inclined plane) Video 695
Connected Bodies Video 696
Resistance Per Mass Video 697
Pulleys Video 698
Pulleys (more) Video 699
Pulleys (table 1) Video 700
Pulleys (table 2) Video 701
Vectors
Introduction Video 702
Magnitude of a Vector Video 703
Direction of a Vector Video 704
Finding Speed and Distance Video 705
Resultant Force Video 706
F = ma (vectors) Video 707
Equations of Motion (vectors) Video 708
More Vectors Video 709
Moments
Introduction Video 710
Normal Reactions Video 711
Unknown Force/Distance Video 712
Beginning to Tilt Video 713
Statistics
Bivariate Analysis
Correlation Video 714
Spearman’s Rank Video 715
Scatter Graphs Video 716
Central Tendency and Dispersion
Mean (list of numbers) Video 717
Mean (frequency table) Video 718
Mean (grouped frequency) Video 719
Standard Deviation (list) Video 720
Standard Deviation (frequency table) Video 721
Standard Deviation (grouped frequency) Video 722
Missing Values Video 723
Additional Data Video 724
Linear Transformations Video 725
Probability
Independent Events Video 726
Mutually Exclusive Events Video 727
Probability NOT Happening Video 728
Conditional Probability Video 729
Tree Diagrams Video 730
Venn Diagrams Video 731
Further Probability Video 732
Addition Rule Video 733
Binomial Expansion
Pascal’s Triangle Video 734
Binomial Distribution Video 735
Further Binomial Video 736
Normal Distribution
Introduction Video 737
Standardised Normal Distribution Video 738
Non-Standardised Normal Distribution Video 739
Groups Video 740
