A1- Calculations on integers - Additions 

Example:  $30+23+40+87$

A2 - Calculations on integers -  Multiplications 

Example:  $2\times 16\times 38\times 2$

A3 - Calculations on integers - Additions and Multiplications

Examples:  $26+64+34+46$  , $23\times 3\times 18$

A4 - Calculations on integers - Divisions

Examples  $88:8$ ,  $36:20$

A5 - Calculations on integers - Additions and Multiplications with parentheses

Example $5\left(12+4\right)$

A6 - Calculations on integers - Additions and Multiplications without parentheses

Example:  $-6+2+7+2-4$

A7 - A5 - Calculations on integers - Additions and Multiplications with parentheses

Example:  $\left(12-5\right)-\left(-1+5\right)$

A8 - Calculations on integers - Multiplications

Example:  $2\left(-3\right)\left(-6\right)\times 3$   

A9 - Calculations on integers - Additions, Subtractions, Multiplications

B3 -  Calculations on decimals - Additions, Multiplications 

Examples :  $4.2+3.7+5.6$  ; $0.5\times 42.4\times 4$

B4 - Calculations on decimals - Multiplications by $10$ $100$ $1000$

Example : $64.56\times 100$

B5 - Calculations on decimals - Multiplications by $0.1$   $0.01$   $0.001$

Example :   $28.5\times 0.01$

B6 - Calculations on decimals - Multiplication by a power of 10

Examples :  $12.3\times 100$   $28.5\times 0.01$

B7 - Calculations on decimals - Additions and multiplications with parentheses 

Example :  $5\left(3.2-5.8\right)$  

B8 $-$ Calculations on decimals - Additions and subtractions without parentheses

Example :  $-8.12+7.9+6.42$

B9 -  Calculations on decimals - Additions and subtractions with parentheses

Example: $39.1+\left(4.8-8.55+5.91\right)$

B10 -  Calculations on decimals - Additions, subtractions and multiplications without parentheses

C1 - Simplifications of Fractions 

C2  -  Additions and subtractions of fractions - Level 1

Fractions with same denominator

C3  -  Additions and subtractions of fractions - Level 2

Addition and subtraction with an integer

C4 -  Additions and subtractions of fractions - Level 3

C5 - Multiplication of a fraction by an integer

Example : $24\times \frac{5}{3}$

C6 - Multiplications of fractions

C7 - Operations with fractions - Level 1

Example: $\frac{5}{2}:\frac{4}{7}$

C8 - Operations with fractions - Level 2

Example : $\frac{1}{4}\left(\frac{2}{3}+\frac{2}{5}\right)$

C9 - Operations with fractions - Level 3  

Examples : $\frac{\frac{1}{4}+\frac{1}{2}}{\frac{2}{3}}+\frac{2}{5}$ ; $\left(\frac{1}{4}-\frac{2}{3}\right)\left(\frac{2}{3}+\frac{2}{5}\right)$

C10 - Operations with fractions - Level 4

D1 - Calculations on radicals - Immediate

D2 - Calculations on radicals - Simplifications  

Example :  $\sqrt{2}\times \frac{\sqrt{8}}{\sqrt{16}}$

D3 - Calculations on radicals - Simplifications  

Example :  $2\sqrt{24}+4\sqrt{96}$

D4 - Calculations on radicals - Simplification of the denominator - Part 1

Examples :  $\frac{40\sqrt{2}}{\sqrt{5}}$ $\frac{4}{2+\sqrt{6}}$

D5 - Calculations on radicals - Getting a reduce form - Part 1 

Examples :  $\left(\sqrt{8}+3\right)\left(\sqrt{8}-3\right)$ ${\left(\sqrt{6}+2\right)}^2$

D6 - Calculations on radicals - Getting a reduce form - Part 2

Examples :  $-5\sqrt{6}+8\sqrt{6}+2\sqrt{6}$  ; $\sqrt{20}+4\sqrt{20}+8\sqrt{125}+5$

D7 - Calculations on radicals - Simplification of the denominator - Part 2

Examples: $2\sqrt{2}+\frac{-8}{\sqrt{2}}$  ; $\frac{2+6\sqrt{3}}{-5+2\sqrt{3}}$

D8 - Calculations on radicals - Simplifications

Examples : ${\sqrt{6}}^3{\sqrt{4}}^5{\sqrt{6}}^5$ ;  $\frac{{\sqrt{4}}^4{\sqrt{6}}^5}{{\sqrt{4}}^2{\sqrt{8}}^3}$

D9 - Calculations on radicals - Simplifications

Examples :  $\frac{2\sqrt{2}}{\frac{1}{\sqrt{4}}\sqrt{10}\sqrt{4}}$ ou $\sqrt{\frac{3}{5}}\sqrt{\frac{4}{7}}\sqrt{\frac{2}{3}}$

D10 - Calculations on radicals -  Synthesis