Study kit (Mathematics 8th)

# Mathematics Grade 8

##### Authors
Vincent Odhiambo, Lewis Mwalili, Ziporah Muli, Jane Mbugua, Wycliffe Ogembo
##### Exercises kit’s authors
Vincent Odhiambo, Lewis Mwalili, Ziporah Muli, Jane Mbugua, Wycliffe Ogembo
##### Publisher
Kenya Literature Bureau
##### Included in packages
• The study kit contains 106 chapters and 554 exercises of which 413 are in the chapters and 141 in the task exercises.
• ##### Authors
Vincent Odhiambo, Lewis Mwalili, Ziporah Muli, Jane Mbugua, Wycliffe Ogembo
• ##### Exercises kit’s authors
Vincent Odhiambo, Lewis Mwalili, Ziporah Muli, Jane Mbugua, Wycliffe Ogembo
Mathematics
English
• ##### Publisher
Kenya Literature Bureau

### 1. Numbers. Integers

##### Chapter
1.1. Identifying Integers in Different Situations. Re­pre­senting Integers on a Number Line
Free chapter!
1.2. Addition of Integers on a Number Line
1.3. Subtraction of Integers on a Number Line
1.4. Combined Operations of Integers

### 2. Numbers. Fractions

##### Chapter
2.1. Combined Operations Involving Addition and Subtraction of Fractions
2.2. Combined Operations Involving Division, Multi­plication, Addition and Subtraction
2.3. Combined Operations Involving Brackets, Division, Multi­plication, Addition and Subtraction of Fractions
2.4. Operations on Fractions in Real Life Situations

### 3. Numbers. Decimals

##### Chapter
3.1. Conversion of Fractions to Decimals in Different Situations
3.2. Identifying Recurring Decimals in Different Situations
3.3. Converting Recurring Decimals to Fractions in Different Situations
3.4. Rounding Off Decimal Numbers to the Required Decimal Places in Different Situations
3.5. Expressing Numbers to the Required Significant Figures in Real Life Situations
3.6. Expressing Numbers in Standard Form in Different Situations
3.7. Combined Operations on Decimals in Different Situations

### 4. Numbers. Squares and Square Roots

##### Chapter
4.1. Working Out Squares of Numbers From Tables of Squares in Different Situations
4.2. Square of Numbers Greater than Ten and Numbers Between Zero and One
4.3. Working Out the Square Roots of Numbers Between One and Ten from Mathematical Tables
4.4. Working out Square Roots of Numbers Between 10 and 100 From Mathematical Tables
4.5. Working out Square Roots of Numbers Greater Than 100 and Numbers Between 0 and 10 From Mathematical Tables
4.6. Working out Squares of Numbers Using a Calculator in Different Situations
4.7. Working out Square Roots of Numbers Using a Calculator

### 5. Numbers. Rates, Ratios, Proportion and Percentages

##### Chapter
5.1. Rates
5.2. Expressing Fractions as Ratios in Real Life Situations
5.3. Comparing Two Ratios in Different Situations
5.4. Comparing Three Ratios in Different Situations
5.5. Dividing Quantities in Given Ratios in Real Life Situations
5.6. Working Out Ratios in Different Situations
5.7. Working Out Increase and Decrease of Quantities Using Ratios in Real Life Situations
5.8. Percentages. Working Out Percentage Change of Given Quantities in Real Life Situations
5.9. Identifying Direct Proportions in Real Life
5.10. Working Out Direct Proportions in Real Life Situations
5.11. Identifying Indirect Proportions in Real Life Situations
5.12. Working out Indirect Proportions in Real Life Situations

### 6. Algebra. Algebraic Expressions

##### Chapter
6.1. Factorisation of Algebraic Expressions in Different Situations
6.2. Simplification of Algebraic Fractions in Different Situations
6.3. Simplifications of Algebraic Fractions by Factorisation
6.4. Evaluating Algebraic Expressions by Substituting Numerical Values in Different Situations

### 7. Algebra. Linear Equations

##### Chapter
7.1. Forming Linear Equations in Two Unknowns in Real Life Situations
7.2. Forming Related Linear Equations in Two Unknowns
7.3. Solving Linear Equations in Two Unknowns by Substitution Method in Real Life Situations
7.4. Solving Linear Equations in Two Unknowns by Elimination Method in Real Life Situations
7.5. Applying Linear Equations in Two Unknowns in Real Life Situations

### 8. Measurements. Circles

##### Chapter
8.1. Working Out the Circumference of a Circle in Real Life Situations
8.2. Working Out the Length of an Arc of a Circle in Different Situations
8.3. Calculating the Perimeter of a Sector of a Circle in Different Situations

### 9. Measurements. Area

##### Chapter
9.1. Calculating the Area of a Circle in Different Situations
9.2. Working Out the Area of a Sector of a Circle in Different Situations
9.3. Working Out the Surface Area of Cubes in Real Life Situations
9.4. Working Out the Surface Area of Cuboids in Real Life Situations
9.5. Working Out the Surface Area of Cylinders in Real Life Situations
9.6. Determining the Surface Area of Triangular Prisms in Different Situations
9.7. Working Out the Area of Irregular Shapes using Square Grids in Real Life Situations

### 10. Measurements. Money

##### Chapter
10.1. Identifying Interest and Principal in Real Life Situations
10.2. Calculating Simple Interest in Real Life Situations
10.3. Calculating Compound Interest Step by Step Per Annum up to Three Years in Real Life Situations
10.4. Working Out Appreciation
10.5. Working out Depreciation
10.6. Working out Hire Purchase in Real Life Situations

### 11. Geometry Geometrical. Constructions

##### Chapter
11.1. Parallel Lines (1)
11.2. Parallel Lines (2)
11.3. Perpendicular Lines
11.4. Dividing a Line Proportionally in Different Situations
11.5. Identifying Angle Properties of Polygons in Different Situations
11.6. Construction of a Regular Polygon up to a Hexagon in Different Situations
11.7. Construction of Irregular Polygons up to a Hexagon in Different Situations
11.8. Construction of Circles Passing Through the Vertices of a Triangle in Different Situations
11.9. Construction of Circles Touching the Sides of a Triangle in Different Situations

### 12. Coordinates and Graphs

##### Chapter
12.1. Drawing, Labelling and Identifying Points on the Cartesian Plane in Different Situations
12.2. Plotting Points on the Cartesian Plane in Different Situations
12.3. Generating Table of Values For a Linear Equation in Different Situations
12.4. Determining an Appropriate Scale for a Linear Equation on Cartesian Plane in Different Situations
12.5. Drawing a Linear Graph From Table of Values on Cartesian Plane in Different Situations
12.6. Solving Simultaneous Linear Equations Graphically in Different Situations
12.7. Applying Simultaneous Equations in Real Life Situations

### 13. Scale Drawing

##### Chapter
13.1. Representing Lengths to a Given Scale in Different Situations
13.2. Converting Actual Length to Scale Length in Real Life Situations
13.3. Converting Scale Length to Actual Length in Real Life Situations
13.4. Interpreting Linear Scales in Statement Form in Different Situations
13.5. Writing Linear Scale in Statement Form in Different Situations
13.6. Interpreting Linear Scales in Ratio Form in Different Situations
13.7. Writing Linear Scales in Ratio Form in Different Situations
13.8. Converting Linear Scale From Statement Form to Ratio Form in Different Situations
13.9. Converting Linear Scale From Ratio Form to Statement Form in Different Situations
13.10. Making Scale Drawing in Different Situations

### 14. Common Solids

##### Chapter
14.1. Identification of Common Solids From the Environment
14.2. Nets of Common Solids in Different Situations
14.3. Working out Surface Area of Solids From Nets of Solids in Different Situations
14.4. Determining the Distance Between Two Points on the Surface of a Solid in different Situations
14.5. Making Models of Hollow and Compact Solids

### 15. Data Handling and Probability. Data Presentation and Interpretation

##### Chapter
15.1. Drawing Bar Graphs of Data From Real Life Situations
15.2. Interpreting Bar Graphs of Data From Real Life Situations
15.3. Drawing Line Graphs of Given Data From Real Life Situations
15.4. Interpreting Line Graphs of Data from Real Life Situations
15.5. Identifying the Mode of a Set of Discrete Data From Real Life Situations
15.6. Calculating the Mean of a Set of Discrete Data From Real Life Situations
15.7. Determining the Median of a Set of Discrete Data From Real Life Situations

### 16. Probability

##### Chapter
16.1. Identifying Events Involving Chance in Real Life Situations
16.2. Performing Chance Experiments in Different Situations
16.3. Writing Experimental Probability Outcomes in Different Situations
16.4. Expressing Probability Outcomes in Fractions in Different Situations
16.5. Expressing Probability Outcomes in Decimals or Percentages in Different Situations