# Std6 (standard 6 math) mathematics syllabus for KCPE

Mathematics standard 6-six syllabus for Kenyan KCPE-Kenya Certificate of Primary Education; Get it at www.manyamfranchise.com  academic online store for all.

## 1.       Numbers

### 1.1.    Whole Numbers

1.1.1. Place value and total value

1.1.2. Reading and writing numbers up to millions in symbols and words

1.1.3. Rounding off numbers

1.1.4. Divisibility test for 8

1.1.5. Squares and numbers

1.1.6. Square roots of perfect squares

## 2.       Fractions

2.1.    Reciprocal

2.2.    Squares of fractions

2.3.    Square roots of fractions

## 3.       Decimals

3.1.    Place value up to 4 decimal places

3.2.    Rounding off decimals to a given number of places

3.3.    Conversion of fractions to decimals

3.4.    Conversion of decimals to fractions

## 4.       Percentage

4.1.    Percentage as a fraction

4.2.    Using the  (%) symbol

4.3.    Conversion of fractions to percentage

4.4.    Conversion of decimals to percentage

4.5.    Conversion of percentage to fractions

4.6.    Conversion of percentage to decimals

## 5.       Operations

5.1.    Addition and subtraction of numbers

5.2.    Multiplication of numbers

5.3.    Division of up to 5 –digit numbers by up to 2-digit numbers with divisor less than the dividend

5.4.    Number sequences

5.5.    Working out problems involving LCM and GCD

## 6.       Fractions

6.1.    Addition and subtraction of fractions

6.2.    Addition and subtraction of fractions and mixed numbers

6.3.    Multiplication of fractions by fractions

6.4.    Multiplication of mixed numbers by fractions

6.5.    Division of a whole number by a fraction

6.6.    Division of a fraction by a fraction

6.7.    Division involving mixed numbers

6.8.    Number sequence involving fractions

## 7.       Decimals

7.1.    Addition and subtraction of decimals

7.2.    Multiplication of decimals by decimals

7.3.    Division of decimals by whole numbers

7.4.    Division of whole numbers by a decimal

7.5.    Division of a decimal by a decimal

## 8.       Percentage

8.1.    Percentage of quantities

## 9.       Measurement

9.1.    Millimeter as a unit of length

9.2.    Conversion of millimeters to centimeters and vice versa

9.3.    Pi (π) as a relationship between circumference and diameter practically

9.4.    Circumference of a circle

## 10.   Area

10.1.Arc and hectare as units of measuring are

10.2.Area of triangles, rectangles and squares including borders and shaded regions

## 11.   Volume

11.1.Cubic metre (m3) as a unit of measuring volume

11.2.Conversion of cubic metres to cubic centimeters and vice versa

11.3.Volume of cubes and cuboids

## 12.   Capacity

12.1.Deciliter (dl) as a unit of measuring capacity

12.2.Conversion of millimeters to litres and litres to deciliters and vice versa

12.3.Addition and subtraction involving litres, milliliters and deciliters

12.4.Multiplication and division involving litres, deciliters and milliliters

## 13.   Mass

13.1.Tonne (t) as a unit of measuring mass

13.2.Conversion involving tones (t), kilogram (kg) and grams (g)

13.3.Operations involving tones (kg) and gram (g)

## 14.   Money

14.2.Profit and loss

14.3.Percentage profit and loss

## 15.   Postal charges

15.1.International postal charges

15.2.Telegrams

15.3.Money orders

## 16.   Time and speed

16.1.Converting minutes to seconds and seconds to minutes

16.2.Conversion of the 12 hour system to 24 hour system and 24 hour system to 12 hour system

16.3.Reading and interpreting air, bus and train time tables

16.4.Speed in kilometers per hour (km/h) and metres per second (m/s)

16.5.Work out problems involving speed

## 17.   Geometry

17.1.Drawing and bisecting lines using rulers and pairs of compasses

17.2.Perpendicular lines

17.3.Parallel lines from a point on the line

## 18.   Angles

18.1.Vertically opposite angles

18.2.Supplementary angles

18.3.Construction of 900, 600, 1200, 450, 300, 750 and 150

18.4.Bisecting angles

18.5.Drawing triangles

18.6.Interior and exterior angles of a triangle

18.7.Making patterns

## 19.   Circles

19.1.Drawing circles

19.2.Centre, radius and diameter of a circle

19.3.Sectors of circles

19.4.Making patterns

## 20.   Models

20.1.Cubes and cuboids

20.2.Nets of cubes and cuboids

20.3.Making models

## 21.   Algebra

21.1.Use of brackets in algebraic expressions

21.2.Simplifying algebraic expressions

21.3.Equations in one unknown

21.4.The symbols greater than (>) and less than (>)

21.5.Comparison of quantities using =, > and < symbols

## 22.   Tables and graphs

22.1.Tables

22.2.Bar graphs

22.3.Line graphs

22.4.Pie charts

22.5.Travel graphs

22.6.Working out arithmetic mean

## 23.   Scale drawing

23.1.Interpreting drawing using linear scale

23.2.Reading and writing linear scale in statement form

23.3.Making scale drawings