# Std7 (standard 7 math) mathematics syllabus for KCPE

Mathematics standard 7-seven 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

1.1.3. Squares and square roots

1.1.4. Divisibility tests for 11

## 2.       Fractions

2.1.    Squares of fractions

2.2.    Square roots of fractions involving perfect squares

## 3.       Decimals

3.1.    Place value and total value

3.2.    Conversion of decimals to fractions

3.3.    Conversion of fractions to decimals

3.4.    Squares of decimals

3.5.    Square roots of decimals involving perfect squares

## 4.       Percentage

4.1.    Convert percentage to fraction and fraction to percentage

4.2.    Conversion of decimal to percentage and percentage to decimal

## 5.       Operations

5.1.    Addition, subtraction and multiplication involving whole numbers

5.2.    Division involving whole numbers

5.3.    Combined operation in whole numbers

5.4.    Number sequence

`Note:`

```         ````i.````            ``````Order of operation should involve only two operations at a time```

`       ``ii.````            ``````Operations involving negative integers should be avoided```

## 6.       Fractions

6.1.    Addition and subtraction

6.2.    Multiplication and division

6.3.    Combined operations in fractions

6.4.    Number sequence

## 7.       Decimals

7.1.    Basic operations involving decimals

7.2.    Combined operations in decimals

## 8.       Percentage

8.1.    Percentage increase

8.2.    Percentage decrease

## 9.       Measurements

9.1.    Decimeters (dm), decameters (dm) and hectometers (hm)

9.2.    Conversion of units of length

9.3.    Perimeter of shapes

9.4.    Working out problems involving perimeter in real life situation

## 10.   Area

10.1.Working out area of circles practically

10.2.Working out problems involving area of circles using formulae

10.3.Working out area of trapezium and parallelogram practically

10.4.Area of combined shapes and borders

10.5.Working out surface area of cubes, cuboids and cylinders practically

10.6.Working out problems involving surface area of cubes, cuboids and cylinders

## 11.   Volume

11.1.Cross –sectional area of regular solids

11.2.Volume of cubes and cuboids

11.3.Volume of cylinders through piling

11.4.Volume of cylinders using the formula

## 12.   Capacity

12.1.Capacity of cubes, cuboids and cylinders

12.2.Relationship between capacity and volume

## 13.   Mass

13.1.Mass in grams, kilograms and tones

## 14.   Money

14.1.Discount and percentage discount

14.2.Commission and percentage commission

14.3.Simple interest

14.4.Hire purchase

14.5.Bills

## 15.   Postal charges

15.1.Inland and international postal charges

15.2.Money and postal orders

15.3.Writing telegrams

15.4.Working out telegram charges

## 16.   Time and speed

16.1.Operations involving units of time

16.2.Air flight, bus and train tables involving time, fare and distance

16.3.Conversion involving units of speed

## 17.   Temperature

17.1.Direct comparison of temperature

17.2.Degree Celsius (0c)

## 18.   Geometry

18.1.Parallel lines and transversals

18.2.Perpendicular bisectors of lines

18.3.Working out problems involving angle properties of parallel line

18.4.Angle properties of squares, rectangles, rhombuses parallelogram and trapeziums

18.5.Construction of triangles

18.6.Construction of circles

18.7.Pythagorean relationship 3 – 4 – 5

18.8.Net of cubes, cuboids and cylinders

18.9.Models of cubes, cuboids and cylinders

18.10.                  Making patterns

## 19.   Algebra

19.1.Formation and simplification of algebraic expressions

19.2.Substitution in algebraic expressions

19.3.Forming and solving equations

19.4.Simplifying inequalities in one unknown

## 20.   Tables and graphs

20.1.Linear scale

20.2.Tables involving real life situations

20.3.Drawing graphs

20.4.Reading and interpreting graphs

20.5.Arithmetic mean and mode

## 21.   Scale drawing

21.1.Linear scale in ratio form

21.2.Conversion of scale from one form to another

21.3.Making scale drawing

21.4.Working out problems involving scale drawing

## 22.   Ration and proportions

22.1.Ratio as a fraction

22.2.Sharing using ratio

22.3.Working out problems involving ratio using unitary method

22.4.Increasing and decreasing quantities using ratio

22.5.Direct and indirect proportions

22.6.Working out problems involving simple direct and indirect proportions

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Maurice Nyamoti,
Dec 30, 2014, 9:52 AM
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