Edviro Academy

6.1A Introduction to ratios

6.2A Ratios & Simple Problems

6.2B Simplifying Ratios

Ratios Simple Problems Worksheet

6.3A Ratios, Fractions & Percentages

6.4A Finding Unknown Ratios

6.5A Ratios with Overlap

6.6A Ratios & Equations

6.7A Scale Factors & Ratios

6.8A Advanced Ratios Questions

7.1A Introduction to Percentages

7.2A Percentages & Fractions

7.3A Percentages & Decimals

7.4A Percentages & Ratios

7.5A Percentage of a number

7.6A One number as percentage of another (Part A)

7.6B Representing Data as percentage (Part B)

7.7A Increasing & Decreasing an amount by percentage (Part A)

7.7B Increasing & Decreasing an amount by percentage - Multiplier Method (Part B)

7.8A Percentage Change

7.9A Discount Calculations

7.10A Reverse Percentages (Part A)

7.10B Reverse Percentage (Increase & Decrease) (Part B)

8.1A Introduction to Exchange Rates & Calculations

9.1A Best buys

10.1A Introduction to Measuring Systems

10.2A Distance

10.3A Mass

10.4A Time

11.1A Introduction to Approximation

11.2A Rounding Numbers 10S, 100S, 1000S

11.3A Rounding to Decimal Places

11.4A Rounding to Significant Figs

11.5A Truncation

11.6A Estimation & Calculations

Approximation Work sheet

12.1A Upper & Lower Bounds

12.1B Interpreting limits of accuracy (Addition & Subtraction)

12.1C Interpreting limits of accuracy (Multiplication & Division)

12.2A Suitable degree of accuracy

13.1A Indices & Degree of Polynomial

13.2A Indices Multiplication Law

13.3A Indices Division law

13.4A Indices Power Law

13.5A Power of 0 & 1

13.6A Reciprocals & Negative Exponents

13.7A Fractional & Negative Exponents

13.8A Solving Exponents

Indices Laws Mixed Past Paper Questions Work Sheet

14.1A Introduction to standard form

14.1B Ordinary numbers to standard form

14.1C Standard form to ordinary numbers

14.11A Ordering numbers in standard form

14.2A Multiplication & Division of standard forms

14.3A Addition & Subtraction of standard forms

Surds Mixed Past Exam Questions Set 1

Surds Mixed Past Exam Questions Set 2

16.1A Introduction to Algebra

16.2A Coefficient, variable and power

16.3A Terms & like terms

16.4A Equations VS expressions

16.5A Addition & Subtraction of Terms

16.6A Multiplication & Division of Terms

16.7A Simplifying expressions & collecting like terms

16.8A Intro to polynomials

16.9A Expanding Single Brackets

16.10A Expanding Double Brackets

16.11A Expanding (a+b)(a-b)

16.12A Expanding Triple Brackets

16.13A Factorising algebraic expression

17.1A Introduction to linear equations

17.2A Introduction to solving linear equations

17.3A Forming & Solving linear equations in 1 variable

17.4A Graphs of linear equation 1 variable

18.1A Introduction to linear equation in 2 variables

18.2A Solving linear equations in 2 variables

18.3A Solving & Graphing linear equation in 2 variables

19.1A Pair of linear equation in 2 variables

19.2A Solving by Graphical Method

19.3A Substitution Method

19.4A Elimination Method

19.5A Which Method, When & Why

19.6A Forming & Solving Simultaneous Equations

19.7 Simultaneous Equations Worksheet

20.1A Coordinate Axes

20.1B Equation of Line (y = mx + c)

20.2A Rearranging to the form y = mx + c

20.3A Rearranging to the form ax + by + c=0

20.4A Gradient of a line & y axis intercept

20.4B Calculating Gradient of a Line

20.5A Rate of Change & Application of Gradient

20.6A Gradient of a Curve at a point

20.7A Drawing graphs of straight line from given equations

20.8A Forming equation of a line from given graph

20.10A Distance formula (IGCSE Only)

20.11A Midpoint Formula

20.12A Equation of Parallel Lines

20.13A Equation of Perpendicular lines

22.1A Introduction to quadratic functions

22.1B Quadratics & GCSE scope

22.2A General equation of quadratic function y = ax2+bx+c

22.3A Quadratic Vocabulary (Part A)

22.3B Graphing Quadratic Functions (Part B)

23.1A Roots/ Solutions

23.2A Introduction to solving quadratics which method, when & why

23.3A Solving quadratics Graphically

23.3B Factorising vs Solving quadratics

23.4A Quadratic Factorisation(Simple) (PART A)

23.4B Quadratic Factorisation (Simple) (PART B)

23.5A Factoring Quadratics (Harder) (PART A)

23.5C Solving Quadratics (Harder) (PART B)

23.5E Short Cut Method

23.6C Completing the Square Method (Part B)

23.6D Completing the Square Method Tutorial

23.9A Formula method (Part A)

23.9B When to use formula Method (Part B)

23.9C Discriminant of quadratic formula (Part C)

23.10A Solving quadratics in the form ax2+bx = 0

23.11A Solving quadratics in the form ax2 - c2 = 0

23.12A Forming and solving quadratic equations

23.13A Simultaneous quadratic equations (Line & Quadratic)

24.1A Intro to Equation of a circle

24.1B Graphing equation of circle from equation & vice versa

24.2A Solving (simultaneous) equation of circle and line

24.3A Equation of a circle, tangent & Perpendicular lines

25.3A Adding & Subtracting Algebraic Fractions

25.4A Multiplication of Algebraic Fractions

25.5A Division of Algebraic Fractions

25.5B Simplifying Algebraic Fractions Tutorials

✏️Simplifying Algebraic Fractions Worksheet & Solutions

25.6A Solving Algebraic Fractions

25.6B Solving Algebraic Fractions Tutorials

✏️Solving Algebraic Fractions

26.1A Introduction to inequalities

26.2A Solving linear inequalities in 1 variable (F & H)

26.2B Inequality on number line (F & H)

26.2C Graphs of inequality & inequality region LINEAR ( F & H)

26.3A Inequality Region (Plotting Linear Graphs, Revision) (Part A)

26.3B Sketching Inequality Region - Given inequalities (Part B)

26.4A Finding inequalities from shaded region(Given region)

26.5A Quadratic Inequalities

26.5B Quadratic Inequalities Tutorials

✏️Quadratic Inequalities Past Exam Questions

27.1A Algebraic Proofs

28.1A Introduction to Sequences

28.3A Linear Sequences (Part A)

28.3B Finding expression for nth term -linear (Part B)

28.4A Quadratic Sequences (Part A)

28.4B Finding expression for nth term - Quadratic (Part B)

28.5A Geometric Sequences

28.6A Special & Fibonacci Sequences

✏️Sequences worksheets - Past Exam question collections

29.1A Introduction to Function Notations

29.4A Composite Functions

29.6A Inverse Functions

29.5A Solving Fucntions

30.2A Straight line graphs

30.3A Quadratic Graphs

✏️Quadratic Graphs Workbook & Solutions

30.4A Cubic Graphs

30.5A Graphs of Exponential & Decay functions

30.6A Graphs of Reciprocal functions

31.1A Sine Graph

31.1B Cosine Graph

31.1C Tan Graph

Trigonometric Graphs Worksheet

Trigonometric Graphs Worksheet Solutions

32.2A Vertical Transformations

32.3A Horizontal Transformations

32.4A Reflection of Graphs

32.6A Introduction to trigonometric graph transformations (Part A)

32.6B Vertical trigonometric translations (Part B)

32.6C Horizontal trigonometric translations (Part C)

32.6D Reflections of trigonometric graphs (Part D)

33.1A Triangle Basics

34.1A CONGRUENT TRIANGLES & SHAPES

35.1APythagorean theorem

35.2A Applications of Pythagorean theorem

✏️Pythagoras Theorem Worksheet & Solutions

35.3 Past Exam Questions - Pythagorean Theorem

36.1A Area of right triangles

37.3A Cosine ratio to work out missing side and angle

37.4A Tan ratio to work out missing side and angle

37.5A Using combination of Sin, Cosine & Tan

37.6A Exact Trigonometric Values

38.1A 3D Pythagoras and trigonometry (Part A)

36BB PYTHAGORAS IN 3D AND TRIGONOMETRY

39.1A Solving pyramids using Pythagoras & trigonometry

39.2A Volume of pyramids

40.1A Introduction to Sine Rule & Cosine Rule

40.2A Sine Rule - Finding Missing side of a triangle (Part A)

40.2B Sine Rule - Finding Missing angle of a triangle (Part B)

40.2C Ambiguous Sine Rule Case (Part C)

40.2D Past Exam Questions SINE RULE & Worksheet

40.3A Cosine Rule - Finding Missing side of a triangle (Part A)

40.3B Cosine Rule - Finding Missing angle of a triangle (Part B)

40.3C Ambiguous Cosine Rule Case (Part C)

40.3D Past Exam Questions COSINE RULE & Worksheet

41.1A Area of any triangle (Trigonometric Formula)

42.1A Introduction to Bearings

42.2A Bearings & SOHCAHTOA

42.3A Revision of Sine & Cosine Rule

42.3B Bearings & Sine Rule

42.3C Bearings with Cosine Rule

42.3D Bearings + Trigonometry Tutorials

44.1A Area of Sector

45.2A Angle at the center is twice the angle at circumference (With Proof)

45.4A Angle on a semi circle is 90*

45.3A Angle at the circumference from same arc are equal (With Proof)

45.5A Opposite angle on cyclic quadrilateral add to 180* (With Proof)

45.6A Tangent is perpendicular to radius of a circle

45.7A Tangents from external point are equal

45.8A Radius perpendicular to chord- bisects the chord

45.9A Alternate segment theorem (With Proof)

45.10A Combined circle theorem questions

Circle Theorems Tutorials (3 Marks)

Circle Theorems Tutorials (4 Marks)

Circle Theorems Tutorials (5 Marks)

46.1A Introduction to angles 7 Polygons

46.2A Lines & Angle Basics (Part A)

46.2B Alternate, corresponding & interior angles on parallel lines (Z & F angles) (Part B)

46.3A Angles in Triangles

46.4A Angles in Quadrilaterals

46.5A Angles in Regular Polygons (Part A)

46.5B Finding angle of any regular polygon (Part B)

46.5C Finding interior & exterior angle of a regular polygon(Part C)

46.6A Angles in Irregular Polygons

47.1A Introduction of area and units

47.2A Area of Square and Rectangle

47.3A Area of Triangles (A = 1/2 bh)

47.3B Area of any triangle (Trigonometric Formula A = 1/2ab Sin(C) (Higher Only)

47.4A Area of Parallelogram

47.5A Area of Trapezium

47.6A Area of circle and semi circle

47.7A Area of compound 2D shapes

48.1AIntroduction to surface area & volumes (units)

48.2A What is a Prism? (Part A)

48.2B Volume & Surface area of any prism (Part B)

48.3A Surface Area and Volume of cube

48.4A Surface Area and Volume of cuboid

48.5A Surface Area of Cylinder (Part A)

48.5B Volume of Cylinder (Part B)

48.6A Surface Area and Volume of Cone

48.7A Surface Area of frustum of a cone (Part A)

48.7B Volume of frustum of a cone (Part B)

48.8A Surface Area and Volume of Sphere

48.9A Surface Area and Volume of Hemi-Sphere

48.10A Surface Area and Volume of composite solid

48.11A Surface Area and Volume (Harder Exam Style Questions)

49.1A Density = Mass/ Volume

50.1A Introduction to similar shapes

50.2A Similar shapes (Length)

50.3A Similar shapes (Surface area & length)

50.4A Similar shapes (Volume & length)

50.5A Similar Shapes (Area & Volume)

51.1A Direct Proportions

51.2A Inverse Proportions

52.1A Introduction to transformations

52.2A Translations

52.3A Reflections

52.4A Enlargements (Part A)

52.4B Enlargements with negative scale factors (Part B)

52.5A Rotations

53.1A Simple Interest

53.2A Compound Interest

54.1A Set & Set notations

55.1A Introduction to venn diagrams

55.2A Venn diagrams and probability

56.1A Introduction to vectors & column vectors

56.1B Equal, Parallel & negtive vectors

56.2A Scalar multiplication of vectors, addition & multiplication

Vectors Worksheets & Solutions

56.3A Vectors & Ratios (Higher)

57.4A Representing Data (Pictograms)

57.5A Representing Data (Pie Charts)

57.6A Representing Data (Scatter Graphs)

58.1A Quartile, Median & Box Plots

58.1B Box plots & its interpretation

59.1A Cumulative frequency, Median & Box Plots

59.1B Cumulative Frequency - Past Exam Questions

60.1A Frequency Density

60.2A Histograms

60.3A Frequency Density & Histograms (Harder Past Exam Questions)

61.1A Mean of Data

61.2A Median of Data

61.3A Mode & Range of Data

62.1B Finding probability

62.1C Relative frequency

62.4A Frequency Trees

62.5A Probability Tree Diagrams

62.6A AND & OR rules of probability

Algebraic Probability - Past Exam questions

63.1 A Algebraic Probability Ex 1

63.1 B Algebraic Probability Ex 2

63.1 C Algebraic Probability Ex 3

63.1 D Algebraic Probability Ex 4

63.1 E Algebraic Probability Ex 5

63.1 F Algebraic Probability Ex 6

63.1 G Algebraic Probability Ex 7

63.1 H Algebraic Probability Ex 8

63.1 I Algebraic Probability Ex 9

63.1 J Algebraic Probability Ex 10

63.1 K Algebraic Probability Ex 11

64.1A Solving by Iteration