Mathematics Grade 9

1. Numbers. Integers

Lead	Chapter
1.1.	Addition of Integers Free chapter!
1.2.	Subtraction of Integers
1.3.	Multiplication of Integers
1.4.	Division of Integers
1.5.	Combined Operations on Integers in Different Situations

2. Numbers. Cubes and Cube Roots

Lead	Chapter
2.1.	Working out Cubes of Numbers by Multipli­cation in Different Situations
2.2.	Cubes of Numbers Between 0 and 10 From Mathe­matical Tables
2.3.	Cubes of Numbers Greater Than 10 From Mathe­matical Tables
2.4.	Cubes of Numbers Less Than 1 From Mathe­matical Tabled
2.5.	Determining Cube Roots of Numbers by Factor Method in Different Situations
2.6.	Determining Cube Roots of Numbers Between 1 and 1 000 from Mathe­matical Table
2.7.	Determining Cube Roots of Numbers Greater Than 1 000 Using Mathe­matical Tables of Cubes
2.8.	Determining Cube Roots of Numbers Between 0 And 1 Using Mathe­matical Tables of Cubes
2.9.	Working Out Cubes of Numbers Using CASIO fx-82MS second edition Calculator
2.10.	Working Out The Cube Root of a Number Using a Calculator

3. Numbers. Indices and Logarithms

Lead	Chapter
3.1.	Expressing Numbers in Index Form in Different Situations
3.2.	The Laws of Indices. Multiplication
3.3.	The Laws of Indices. Division
3.4.	The Laws of Indices. Raising to a Power
3.5.	The Laws of Indices. Raising to a Nega­tive Power
3.6.	Relating Powers of 10 to Common Logarithms in Different Situations

4. Numbers. Compound Proportion and Rates of Work

Lead	Chapter
4.1.	Dividing Quantities into Propor­tional Parts in Different Situations
4.2.	Relating Different Ratios In Real Life
4.3.	Working Out Compound Propor­tions Using the Ratio Method in Different Situations
4.4.	Calcula­ting Rates of Work in Real Life Situations
4.5.	Mixed Exercise 1

5. Algebra. Matrices

Lead	Chapter
5.1.	Identifying a Matrix in Different Situations
5.2.	Determi­ning the Order of a Matrix in Different Situations
5.3.	Determi­ning the Position of Items in a Matrix in Different Situations
5.4.	Determi­ning Compa­tibility of Matrices in Addition
5.5.	Determi­ning Compa­tibility of Matrices in Subtraction
5.6.	Carrying Out Addition of Matrices in Real Life Situations
5.7.	Carrying Out Subtraction of Matrices in Real Life Situations

6. Algebra. Equations of Straight Lines

Lead	Chapter
6.1.	Identi­fying the Gradient in Real Life Situations
6.2.	Determi­ning the Gradient of a Straight Line From Two Known Points
6.3.	Determi­ning the Equation of a Straight Line Given Two Points
6.4.	Determi­ning the Equation of a Straight Line From a Known Point and a Gradient
6.5.	Expressing the Equation of a Straight Line in the Form of y = mx + c in Different Situations
6.6.	Interpre­ting the Equation y = mx + c in Different Situations
6.7.	Determining the x and y-Intercepts of a Straight Line
6.8.	Applying Equations of Straight Lines in Real Life Situations

7. Algebra. Linear Inequalities

Lead	Chapter
7.1.	Solving Linear Inequa­lities in One Unknown. Addition and Subtraction
7.2.	Solving Linear Inequa­lities in One Unknown. Multipli­cation and Division
7.3.	Solving Linear Inequa­lities in One Unknown Involving More Than One Operation
7.4.	Represen­ting Linear Inequa­lities in One Unknown Graphi­cally
7.5.	Represen­ting Linear Inequa­lities In Two Un­knowns Graphi­cally
7.6.	Applying Linear Inequa­lities to Real Life Situations
7.7.	Mixed Exercise 2

8. Measurement. Area

Lead	Chapter
8.1.	Calcula­ting the Area of a Penta­gon in Different Situations
8.2.	Area of a Hexagon
8.3.	Working Out the Surface Area of Triangu­lar and Rectan­gular- Based Prisms
8.4.	Working Out the Surface Area of Triangu­lar, Rectan­gular and Square-Based Pyramids
8.5.	Calcula­ting the Area of a Sector and Segment of a Circle
8.6.	Working Out the Surface Area of a Cone in Real Life Situations
8.7.	Calcu­lating the Surface Area of a Sphere in Real Life Situations

9. Measurement. Volume of solids

Lead	Chapter
9.1.	Volume of solids. Working out Volume of Triangu­lar and Rectan­gular-based Prisms
9.2.	Calcu­lating the Volumes of Triangular, Rectan­gular and Square-Based Pyramids
9.3.	Working Out the Volume of a Cone in Real Life Situations
9.4.	Determi­ning the Volume of a Frustum in Real-Life Situations
9.5.	Calcula­ting the Volume of a Sphere in Real Life Situations

10. Measurement. Mass, Volume, Weight and Density

Lead	Chapter
10.1.	Converting Units of Mass From One Form to Another in Different Situations
10.2.	Relating Mass and Weight in Real Life Situations
10.3.	Determi­ning Mass, Volume and Density in Diffe­rent Situations
10.4.	Determi­nation of Mass Given Volume and Density
10.5.	Determi­ning Volume Given Mass and Density

11. Measurement. Time, Distance and Speed

Lead	Chapter
11.1.	Working Out Speed in km/h and m/s
11.2.	Working Out Average Speed in Real Life Situations
11.3.	Determi­ning Velocity in Real Life Situations
11.4.	Working Out Acce­leration in Real Life Situations
11.5.	Identifying Longi­tudes on the Globe
11.6.	Relating Longi­tude to Time on the Globe
11.7.	Determi­ning Local Time of Places on the Earth Along Different Longi­tudes

12. Measurement. Money

Lead	Chapter
12.1.	Identifying Currencies That are Used in Different Countries
12.2.	Converting Currency from One to Another In Real Life Situations
12.3.	Converting Kenyan Currency to Foreign Currency
12.4.	Working Out Export Duties Charged on Goods
12.5.	Working Out Import Duties Charged on Goods
12.6.	Working Out Excise Duty Charged on Goods
12.7.	Determi­ning Value-Added Tax (VAT) Charged on Goods and Services

13. Measurement. Approximations and Errors

Lead	Chapter
13.1.	Approxi­mating Quantities in Measure­ments in Different Situations
13.2.	Determi­ning Errors Using Estimations and Actual Measure­ments of Quantities
13.3.	Determi­ning Percentage Errors Using Actual Measure­ments in Quantities
13.4.	Mixed Exercise 3

14. Geometry. Coordinates and Graphs

Lead	Chapter
14.1.	Plotting Out Points on a Cartesian Plane
14.2.	Drawing a Straight Line Graph Given an Equation
14.3.	Drawing Parallel Lines on a Cartesian Plane
14.4.	Relating the Gradients of Parallel Lines
14.5.	Drawing Perpendi­cular Lines on the Cartesian Plane
14.6.	Relating the Gradients of Perpendi­cular Lines
14.7.	Application of Graphs of Straight Lines to Real Life Situations

15. Geometry. Scale Drawing

Lead	Chapter
15.1.	Identifying and Determining Compass Bearings and True Bearing. Compass Directions
15.2.	Identifying Compass Bearings
15.3.	Identifying True Bearings
15.4.	Determining Compass Bearings
15.5.	Determining True Bearings
15.6.	Locating a Point Using Compass Bearing and Distance in Real Life Situations. Use of Compass Bearings
15.7.	Locating a Point Using the True Bearing and Distance in Real Life Situations
15.8.	Identifying Angle of Elevation in Real Life Situations
15.9.	Determining Angles of Elevation in Different Situations
15.10.	Identifying Angles of Depression in Real Life Situations
15.11.	Determining Angles of Depression in Different Situations
15.12.	Applying Scale Drawing in Simple Surveying
15.13.	Survey of an Area by Use of Bearings and Distances

16. Geometry. Similarity and Enlargement

Lead	Chapter
16.1.	Identifying Similar Figures and Their Properties
16.2.	Drawing Similar Figures in Different Situations
16.3.	Determining Properties of Enlargement of Different Figures
16.4.	Determining Properties of Enlargement in Different Situations
16.5.	Applying Properties of Enlargement to Draw Similar Objects and Their Images
16.6.	Determining Linear Scale Factor of Similar Figures

17. Geometry. Trigonometry

Lead	Chapter
17.1.	Identifying Angles and Sides of Right Angled Triangles in Different Situations
17.2.	Identifying Sine and Cosine Ratios From a Right Angled Triangle in Different Situations
17.3.	Identifying Tangent Ratio From a Right Angled Triangle
17.4.	Reading Mathe­matical Tables of Sines of Acute Angles
17.5.	Reading Mathe­matical Tables of Cosines of Acute Angles
17.6.	Reading Mathe­matical Tables of Tangents of Acute Angles
17.7.	Determining Trigono­metric Ratios of Acute Angles Using Calculators
17.8.	Applying Trigono­metric Ratios to Calculate Lengths of Right Angled Triangles in Different Situations
17.9.	Applying Trigonometric Ratios to Calculate Angles of Right Angled Triangles in Different Situations
17.10.	Mixed Exercise 4

18. Data Handling and Probability. Data Interpretation (Grouped Data)

Lead	Chapter
18.1.	Determining Appropriate Class Width for Grouped Data
18.2.	Drawing Frequency Distribution Tables of Grouped Data
18.3.	Identifying the Modal Class of Grouped Data
18.4.	Calculating the Mean of Grouped Data from Real Life Situations
18.5.	Determining the Median of a Grouped Data in Real Life Situations

19. Data Handling and Probability. Probability

Lead	Chapter
19.1.	Performing Experi­ments Involving Equally Likely Outcomes in Different Situations
19.2.	Determi­ning the Range of Proba­bility of an Event
19.3.	Identifying Mutually Exclusive Events in Real-Life Situations
19.4.	Performing Experiments of Single Chance Involving Mutually Exclusive Events
19.5.	Performing Experi­ments Involving Indepen­dent Events in Different Situations
19.6.	Drawing a Probability Tree Diagram for a Single Outcome
19.7.	Mixed Exercise 5

20. Tables

Lead	Chapter
20.1.	Mathematical Tables of Cubes (3 d.p.)
20.2.	Mathematical Tables of Cubes (2 d.p.)
20.3.	Mathematical Tables of Sines of Acute Angles (4 d.p.)
20.4.	Mathematical Tables of Cosines of Acute Angles (4 d.p.)
20.5.	Mathematical Tables of Tangents of Acute Angles (4 d.p.)