### Std5 (standard 5 math) mathematics syllabus for KCPE

Mathematics standard 5-five 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 up to hundreds of thousands

1.1.2.        Reading and writing numbers up to 999999 in words and symbols

1.1.3.        Rounding off numbers to the nearest tens and hundreds

1.1.4.        Divisibility tests for 3, 4, 6 and 9.

1.1.5.        Prime numbers less than 100

1.1.6.        Prime factors

1.1.7.        Common divisors (factors)

1.1.8.        Greatest common divisor (GCD)

1.1.9.        Highest Common factor (HCF)

1.1.10.    Common mulitiples

1.1.11.    Common multiples multiple (LCM)

1.1.12.    Roman numbers up to 50

### 2.       Fractions

a)      Simplifying fractions by cancellation

b)      Conversion of mixed numbers to improper fractions and vice versa

### 3.       Decimals

a)      Place value up to thousandths

b)      Conversion of fractions to decimals

c)       Conversion of decimals to fractions

### 4.       Operations

4.1. Whole numbers

a)           Addition and subtraction of up to 6 –digit numbers

b)           Multiplication of 3 single digit numbers

c)            Multiplication by up to 2 –digit numbers

d)           Division of up to 4 –digit numbers by 2 –digit numbers with the divisor less than the dividend

e)           Patterns involving even, odd and prime numbers

`Note:`

```For number patterns, use simple sequences involving even, odd and prime numbers ```

### 5.       Fractions

a)           Additional and subtraction of two fractions involving renaming of one fraction

b)           Addition and subtraction of two fractions involving renaming of both fractions

c)            Addition and subtraction of mixed numbers

d)           Multiplication of mixed numbers by whole numbers.

### 6.       Decimals

a)      Addition and subtraction of decimals

### 7.       Measurement

#### 7.1. Length

a)      Measuring length to the nearest metre and centimeter

b)      Kilometer as a unit of measuring length

c)       Conversion of metres to kilometers and vice versa

d)      Addition and subtraction involving units of length

e)      Multiplication and division involving units of length

f)       Perimeter of squares and rectangles involving kilometers, metres and centimetres

### 8.       Area

a)      Square metre and square centimeter

b)      Area of squares and rectangles using the formula

c)       Finding area of a triangle as half area of a rectangle practically

### 9.       Volume

a)      Cubic centimeter as a unit of measuring volume

b)      Volume as a product of number of unit cubes in a layer by number of layers

c)       Volume of cubes and cuboids using the formula

### 10.   Capacity

a)      Milliliter as a unit of measuring capacity

b)      Estimating and measuring capacity in milliliters

c)       Conversion of milliliters to litres and vice versa

d)      Addition and subtraction involving capacity in litres and milliliters

e)      Multiplication and division involving litres and milliliters by whole numbers

### 11.   Mass

a)      The gram as a unit of measuring mass

b)      Measuring and estimating mass to the nearest gram

c)       Conversion of kilograms to grams and vice versa

d)      Addition and subtraction involving mass in kilograms and grams

e)      Multiplication involving mass in kilograms and grams

f)       Division involving mass in kilograms and grams by whole numbers

### 12.   Money

a)      Use of bills in buying and selling

b)      Inland postal charges for letters and parcels

### 13.   Time

a)      Estimating time by length of shadow

b)      Reading, telling and writing time in a.m. and p.m.

c)       The second as a unit for measuring time

d)      Conversion of minutes to seconds and vice versa

e)      Addition and subtraction involving time in hours, minutes and seconds

f)       Multiplication and division involving units of time by whole numbers

### 14.   Geometry

a)      Unit angle and half disc

b)      The degree as a unit of measuring angles

c)       The protractor

d)      The reflex angle

e)      Angles on a straight line

f)       Perpendicular lines

g)      Sum of angles of a triangle

h)      Properties of right-angled isosceles and equilateral triangles

i)        Parallel lines

j)        Properties of squares and rectangles

k)      Making patterns

### 15.   Algebra

a)      Simplifying algebraic expressions

b)      Working out simple equations in one unknown

### 16.   Tables and Graphs

a)      Collecting and recording data

b)      Represent data in bar graphs

c)       Read and interpret bar graphs

### 17.   Scale drawing

a)      Linear scale in statement form

b)      Representing actual lengths with lines

c)       Conversion of scale lengths to actual length and vice versa

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Maurice Nyamoti,
Dec 30, 2014, 3:25 AM