Prime Numbers and HCF - LCM | Schroop Education

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IGCSE - Maths (Higher)

01- Prime Factors, HCF and LCM

PDF - Lecture Notes
Order of Operations (BIDMAS/BODMAS) (3:12)
Prime Numbers and HCF - LCM (8:31)
Multiples (1:38)
Prime Factorization (2:34)
Factors (3:47)
Even and Odd Numbers (3:35)
Relatively Prime (3:06)
Prime Numbers (1:58)
Order Of Operations (3:07)
Types Of Numbers (3:12)
Dividend Divisor Quotient Remainder (4:23)
Square Numbers - Useful Information (1:39)

01- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Prime Factors (13:29)
HCF and LCM (29:23)

02- Powers, Roots And Standard Form

PDF - Lecture Notes
Power Numbers ( Indices) (3:02)
Negative Indice ( Exponent) (3:08)
Multiplying And Dividing With Indices (2:47)
Power Of Two Product Numbers (2:11)
Addition and Subtraction Of Power Numbers Power Of Power Number (2:20)
Converting to & from Standard Form
Practice Questions
Solutions of the Practice Questions

02- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Power (Indice) (18:06)
Standard Form (29:02)

03- Fractions - Percentages - Decimals

PDF - Lecture Notes
Fractions (2:34)
Fraction Types (4:11)
Reducing Fractions (1:58)
Operation Of Fractions (5:05)
Decimals (2:17)
Percentages (5:30)
Fraction, Decimal and Percentage (3:59)
Percentage Change (2:21)
Percentage Increase and Decrease (3:02)
Other Application Of Percentage Change (4:53)

03- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Fractions (10:04)
Fraction Operations (12:50)
Percentage (36:38)
Percentage Increase and Decrease (22:38)
Reverse Percentage (19:04)
Recurring Numbers (14:26)

04- Exponential Growth and Decay - Simple and Compound Interest

PDF - Lecture Notes
Simple Interest (1:38)
Compound Interest (5:16)
Linear Growth and Decay (6:24)
Exponential Growth and Decay (2:33)
Practice Questions
Solutions of the Practice Questions

04- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Exponential Growth and Decay (41:32)
Compound Interest (6:29)

05- Ratios : Direct and Inverse Proportions

PDF - Lecture Notes
Direct and Inverse Proportion (6:38)

05- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Direct and Inverse Proportion (24:54)
Ratio (20:21)
Rate (28:56)

06- Rounding & Estimation

PDF - Lecture Notes

06- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Rounding & Estimation (29:34)
Upper & Lower Bounds 2 (99:39)
Upper & Lower Bounds 1 (25:32)

07- Surds (Roots )

PDF - Lecture Notes
Root Numbers ( Fractional Indices) (1:50)
Properties Of Root Numbers (6:38)
Rationalising Denominator (8:51)
Surds - Simplifying Surds
Practice Questions
Solutions of the Practice Questions

08- ALGEBRA - Expanding & Simplifying Brackets

PDF - Lecture Notes
Equations and Language Of Algebra (4:26)
Properties Of Expressions (1:20)
Simplifying Expressions (2:24)
Expanding Brackets (5:06)

08- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Simplifying Expressions (15:24)
Expanding Brackets (12:26)
Expanding 3 Brackets (17:32)

09- Factorising

PDF - Lecture Notes
Factorising (2:09)
Solving Quadratic Equations By Factorisation (3:56)

09- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Factorising (6:18)
Quadratic Factorisation (47:00)

10- Completing the Square

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

10- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Completing the Square (36:32)

11- Algebraic Fractions

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

11- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Algebraic Fractions (57:26)

12- Rearranging Formula

PDF - Lecture Notes
Substitution Into Formula (2:44)
Rearranging Formula (5:23)

12- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Rearranging Formula (17:40)
Substitution Into Formula (14:00)

13- Algebraic Proof

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

14- Linear Equations

PDF - Lecture Notes
Solving First Degree (Linear) Equations (4:49)
Solving Linear Equations by Factorisation (4:30)
Practice Questions
Solutions of the Practice Questions

15- Quadratic Equations

PDF - Lecture Notes
Quadratic Equations (4:19)
Solving Quadratic Equations By Quadratic Formula (4:46)
Disguised Quadratic Equations (9:31)
Quadratic Equations - Taking Square Root and Perfect Square Equations (3:28)
Useful Information About Quadratic Equations (2:50)

15- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Solving Quadratic Equations by Factorisation (18:15)
Solving Quadratic Equations by Formula (42:57)

16- Simultaneous Equations

PDF - Lecture Notes
Simultaneous Equations (7:16)
Practice Questions
Solutions of the Practice Questions

16- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Simultanous Equations (42:20)
Quadratic Simultaneous Equations (41:37)

17- Functions

PDF - Lecture Notes
Functions (6:37)
Inverse Functions (6:19)
Composite Functions (3:23)
Practice Questions
Solutions of the Practice Questions

17- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Functions (5:36)
Composite Functions (17:31)
Inverse Functions (6:47)

18- Coordinate Geometry

PDF - Lecture Notes
Coordinate Plane (4:37)
Slope (Gradient) Of A LineWriting (Finding) Line Equations (9:28)
Distance Between Two Points (3:50)
Midpoint Of Two Points (3:32)
Practice Questions
Solutions of the Practice Questions

19- Linear Graphs

PDF - Lecture Notes
Parallel and Perpendicular Lines (5:34)
Intercepts Of A Line (5:56)
Horizantal and Vertical Lines (1:20)
Practice Questions
Solutions of the Practice Questions

19- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Linear Graphs (29:05)
Parallel and Perpendicular Lines (3:08)
Perpendicular Lines (60:21)
More Linear Graphs (68:24)

20- Graphs Of Functions

PDF - Lecture Notes

20- PRACTICE QUESTIONS/VIDEO SOLUTIONS

More Graph Questions (16:25)
Reciprocal Graphs (11:37)
Quadratic Graphs (20:25)
Trigonometric Graphs
Solving Equations Using Graphs

21- Equation Of a Circle

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

22- Estimating Gradients and Area Under Graphs

PDF - Lecture Notes

22- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Estimating Gradients and Area Under Graphs (52:49)

23- Speed Time Graphs

PDF - Lecture Notes

23- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Speed Time Graphs (73:12)

24- Inequalities

PDF - Lecture Notes
Solving Linear Inequalities (4:41)
Compound Inequalities (6:22)
Solving Quadratic Inequalities (6:29)

24- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Solving Linear Inequalities (23:11)

25- Graphing Inequalities

PDF - Lecture Notes

25- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Representing Inequalities as Regions (37:54)

26- Transformation Of Graphs

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

28- Sequence

PDF - Lecture Notes
Arithmetic (Linear) Sequences (3:27)

28- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Arithmetic (Linear) Sequences (46:12)

29- GEOMETRY - Angles in Polygons & Parallel Lines

PDF - Lecture Notes
Angle Facts (4:09)
Angle on Parallel Lines Cut By a Transversal (3:36)
Angles on Disguised Parallel Lines (1:09)
Angles In A Triangle (2:27)
Exterior Angle Theorem in Triangles (3:39)
Special Right Angle Triangles (2:16)
Angles in Polygons (4:14)
Angles in a Quadrilateral (6:33)
Basic Angle Properties (2:20)
Practice Questions
Solutions of the Practice Questions

29- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Angles in a Triangle (2:02)
Regular Polygons (7:07)
Angles in a Quadrilateral (5:35)

30- Triangles

Similar Triangles (2:07)
Areas Of Similar Triangles (4:38)
Area Of A Triangle (7:08)
Area Of Isosceles And Equilateral Triangles (5:51)
Practice Questions
Solutions of the Practice Questions

31- Area and Perimeter

PDF - Lecture Notes
Area and Perimetre Of Quadrilateral (9:30)
Practice Questions
Solutions of the Practice Questions

31- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Area and Perimetre of Rectangle and Parallelgram (10:23)

32- Circle Theorems

PDF - Lecture Notes
Angle Theorems Of Circle (7:11)
Practice Questions
Solutions of the Practice Questions

32- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Angles in a Circle (29:30)

33- Area & Circumference of Circles

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

33- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Arc Length and Sector Area (14:59)
Circumference and Area of a Circle (4:51)

34- 3D Shapes

PDF - Lecture Notes
Surface Area And Volume Of a Cuboid (7:03)
Volume And Surface Area of a Cylinder (2:15)
Volume And Surface Area of a Cone (4:15)
Volume And Surface Area of a Pramid (5:39)
Volume And Surface Area of a Triangular Prism (3:16)

34- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Surface Area and Volume of a Cuboid (10:20)
Volume and Surface Area of Cone (10:09)
Volume and Surface Area of a Pyramid (29:31)

35- Area & Volume of Similar Shapes

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

35- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Area and Volume of Similar Shapes (31:00)

36- Geometric Proof

PDF - Lecture Notes

37- Pythagoras Theorem & Trigonometry

PDF - Lecture Notes
Pythagoras' Theorem (2:34)
Practice Questions
Solutions of the Practice Questions

38- The Sine Rule / Cosine Rule / Area Rule

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

38- PRACTICE QUESTIONS/VIDEO SOLUTIONS

The Sine Rule / Cosine Rule (24:34)

39- 3D Pythagoras & Trigonometry

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

40- Vectors

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

40- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Vectors (14:45)

41- Transformations

PDF - Lecture Notes
Practice Questions
Solutions of the Practice Questions

42- Probability

PDF - Lecture Notes
Probability (8:24)
Complement Of An Event Probability (6:57)
Conditional ( Dependend ) Probability (3:30)
Set - Venn Diagram

42- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Probability (66:33)
Set - Venn Diagram (31:43)

43- Statistics

PDF - Lecture Notes
Mean (Average) (1:53)
Weighted Mean (Average) (8:30)
Median (6:45)
Mode (2:07)
Range (1:13)

44- Histograms

PDF - Lecture Notes

44- PRACTICE QUESTIONS/VIDEO SOLUTIONS

Histograms (17:12)

45- Cumilative Frequency

PDF - Lecture Notes
Lower and Higher Quartiles (4:33)
Practice Questions
Solutions of the Practice Questions

LEVEL 8-9 MIX QUESTIONS - SET 1

Mix Questions - 21 Questions
Video Solutions (69:35)

LEVEL 8-9 MIX QUESTIONS - SET 2

Video Solutions (79:22)
Mix Questions - 21 Questions

LEVEL 8-9 MIX QUESTIONS - SET 3

Video Solutions (79:24)
Mix Questions - 21 Questions

Mock Exam 1

Mock Exam 1 - Paper 1
Video Solutions (51:39)

Mock Exam 2

Mock Exam 2 - Paper 3
Video Solutions (46:57)

Mock Exam 3

Mock Exam 3 - Paper 3
Video Solutions (60:17)

Mock Exam 4

Mock Exam 4 - Paper 1
Video Solutions (58:21)

Mock Exam 5

Mock Exam 5 - Paper 2
Video Solutions (65:09)

Mock Exam 6

Mock Exam 6 - Paper 3
Video Solutions (66:25)

Mock Exam 7

Mock Exam 7 - Paper 1
Video Solutions (72:21)

Mock Exam 8

Mock Exam 8 - Paper 2
Video Solutions (52:05)

Mock Exam 9

Mock Exam 9 - Paper 3
Video Solutions (54:49)

Mock Exam 10

Mock Exam 10 - Paper 1
Video Solutions (54:47)

Mock Exam 11

Mock Exam 11 - Paper 2
Video Solutions (59:39)

Mock Exam 12

Mock Exam 12 - Paper 2
Video Solutions (57:10)

Mock Exam 13

Mock Exam 13 - Paper 1
Video Solutions (48:24)

Mock Exam 14

Mock Exam 14 - Paper 2
Video Solutions (69:08)

Mock Exam 15

Mock Exam 15 - Paper 3
Video Solutions (54:46)

Mock Exam 16

Mock Exam 16 - Paper 1
Video Solutions (76:40)

Mock Exam 17

Mock Exam - Paper 1
Video Solutions (64:40)

Mock Exam 18

Mock Exam 18 - Paper 1
Video Solutions (75:23)

Mock Exam 19

Mock Exam 19 - Paper 1
Video Solutions (67:31)

Mock Exam 20

Mock Exam 20 - Paper 2-3
Video Solutions (74:12)

Mock Exam 21

Mock Exam 21 - Paper 2-3
Video Solutions (66:02)

Mock Exam 22

Mock Exam 22 - Paper 2- 3
Video Solutions (73:31)

Mock Exam 23

Mock Exam 23- Paper 2-3
Video Solutions (73:55)

Mock Exam 24

Mock Exam 24- Paper 2-3
Video Solutions (63:13)

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Prime Numbers and HCF - LCM

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