Study kit (Mathematics G7)

# Mathematics Grade 7

##### Authors
Zipporah Muli, Vincent Odhiambo, Lewis Mwalili, Jane Mbugua, Wycliffe Ogembo
##### Exercises kit’s authors
Zipporah Muli, Vincent Odhiambo, Lewis Mwalili, Jane Mbugua, Wycliffe Ogembo
##### Publisher
Kenya Literature Bureau
##### Included in packages
• The study kit contains 134 chapters and 638 exercises of which 536 are in the chapters and 102 in the task exercises.
• ##### Authors
Zipporah Muli, Vincent Odhiambo, Lewis Mwalili, Jane Mbugua, Wycliffe Ogembo
• ##### Exercises kit’s authors
Zipporah Muli, Vincent Odhiambo, Lewis Mwalili, Jane Mbugua, Wycliffe Ogembo
Mathematics
English
• ##### Publisher
Kenya Literature Bureau

### 1. Whole numbers

##### Chapter
1.1. Place value of digits up to hundreds of millions
Free chapter!
1.2. Total value of digits up to hundreds of millions
1.3. Total value of digits up to hundreds of millions in real life
1.4. Reading and writing numbers in symbols up to hundreds of millions
1.5. Reading and writing numbers in words up to millions
1.6. Writing numbers in symbols given in words up to millions
1.7. Round off numbers to the nearest hundreds of thousands
1.8. Round off numbers to the nearest million
1.9. Round off numbers to the nearest tens of millions
1.10. Round off numbers to the nearest hundreds of millions
1.11. Even and odd numbers
1.12. Prime numbers
1.13. Operations of whole numbers
1.14. Operations of whole numbers in real life situations
1.15. Sequences involving addition and substraction
1.16. Sequences involving multiplication and division
1.17. Create number sequences

### 2. Factors

##### Chapter
2.1. Divisibility test for 2, 3 and 6
2.2. Divisibility test for 4 and 8
2.3. Divisibility test for 5, 9 and 10
2.4. Divisibility test for 11
2.5. Expressing numbers as product of prime factors
2.6. Greatest common divisor and least common multiple
2.7. Application of GCD and LCM

### 3. Fractions

##### Chapter
3.1. Comparing fractions
3.2. Arranging fractions
3.4. Subtracting fractions
3.5. Multiplying fractions (1)
3.6. Multiplying fractions (2)
3.7. Reciprocals of fractions
3.8. Dividing fractions
3.9. Sequence of fractions

### 4. Decimals

##### Chapter
4.1. Place value of digits in decimal
4.2. Total value of digits in decimal
4.3. Adding and subtracting decimals
4.4. Multiplication involving decimals
4.5. Multiplication of decimals in real life
4.6. Dividing a decimal number by a whole number
4.7. Dividing a decimal number by a decimal number

### 5. Squares and square roots

##### Chapter
5.1. The squares of whole numbers
5.2. The squares of fractions
5.3. The squares of decimals
5.4. Square roots of whole numbers
5.5. Working square roots of fractions
5.6. Working square roots of decimals

### 6. Algebra

##### Chapter
6.1. Formation of algebraic expressions from real life situations
6.2. Formation of algebraic expressions from simple algebraic Statements, Involving Addition and Subtraction
6.3. Formation of algebraic expressions from simple algebraic statements involving multiplication and division
6.4. Simplification of algebraic expressions in real life situations (1)
6.5. Simplifi­cation of algebraic expressions in real life situations (2)

### 7. Linear Equations

##### Chapter
7.1. Forming linear equations in one unknown
7.2. Solving linear equations in one unknown
7.3. Application of linear equations in one unknown (1)
7.4. Application of linear equations in one unknown (2)

### 8. Linear Inequalities

##### Chapter
8.1. Applying linear inequality symbols to inequality statements
8.2. Forming simple inequalities in real life situation
8.3. Illustrating simple linear inequalities on a number line
8.4. Forming compound inequality statements in one unknown
8.5. Illustrating compound inequalities on a number line (1)
8.6. Illustrating compound inequalities on a number line (2)

### 9. Measurements

##### Chapter
9.1. Pythagorean relationship
9.2. Applications of Pythogorean relation­ship

### 10. Length

##### Chapter
10.1. Conversion of units of length
10.2. Addition and subtraction of units of length
10.3. Multiplication involving units of length
10.4. Division involving units of length
10.5. Perimeter of plane figures
10.6. Circumference of circles

### 11. Area

##### Chapter
11.1. Units of measuring area
11.2. Area of a rectangle
11.3. Area of a parallelogram
11.4. Area of a rhombus
11.5. Area of a trapezium
11.6. Derivation of the formula for the area of a circle
11.7. Area of borders
11.8. Area of combined shapes

### 12. Volume And Capacity

##### Chapter
12.1. Units of measuring volume. Conversion
12.2. Volume of cubes and cuboids
12.3. Volume of cylinders
12.4. Identifying relationship between cubic centimetres and litres
12.5. Identifying relationship between cubic metres and litres
12.6. Relating volume to capacity
12.7. Capacity of different containers

### 13. Time, Distance and Speed

##### Chapter
13.1. Units of measuring time
13.2. Conversion of hours to minutes and minutes to hours
13.3. Conversion of minutes to seconds and seconds to minutes
13.4. Conversion of kilometres to metres and metres to kilo­metres
13.5. Identifying speed as distance covered per unit time
13.6. Speed in kilo­metres per hour and speed in metres per second (1)
13.7. Speed in kilometres per hour and speed in metres per second (2)

### 14. Temperature

##### Chapter
14.1. Describing and comparing the tempe­rature of the environment
14.2. Identifying units of measuring temperature
14.3. Conversion of units of temperature
14.4. Tempe­rature in degrees Celsius and Kelvin (1)
14.5. Tempe­rature in degrees Celsius and Kelvin (2)

### 15. Money

##### Chapter
15.1. Profit and loss
15.2. Percentage profit
15.3. Percentage loss
15.4. Discount
15.5. Percentage discount
15.6. Commission
15.7. Percentage commission
15.8. Interpre­ting bills at home
15.9. Preparing bills
15.10. Postal charges (1)
15.11. Postal charges (2)
15.12. Mobile money services and transactions

### 16. Geometry

##### Chapter
16.1. Angles on a straight line
16.2. Angles at a point
16.3. Angles on a transversal
16.4. Angles in a parallelo­gram
16.5. Angle properties of polygons
16.6. Exterior angles and the number of sides of a polygon
16.7. Solving angles and sides of polygons

### 17. Geometrical Constructions

##### Chapter
17.1. Measuring different angles
17.2. Bisecting angles using a ruler and a pair of compasses
17.3. Construction of 90° using a ruler and a pair of compasses only
17.4. Construction of 45° using a pair of compasses and a ruler only
17.5. Construction of 60° using a pair of compasses and a ruler only
17.6. Construction of 30° and other angles that are multiples of 7.5° using a pair of compasses and a ruler only
17.7. Constructing a triangle (1)
17.8. Constructing a triangle (2)
17.9. Construction of circles