Question 1

Level 1- Foundation-Finger Abacus and Beads

Accepted Answer

What will be taught

Via Finger Abacus & Abacus Tool
1 to 99 numbers
Addition & subtraction
Combination concepts: +5, +10 combinations

Via Mental Math
Visualization of beads
Mental addition & subtraction (non-combination, up to 99)

Outcome in children
Add & subtract 2-digit numbers on finger abacus and tool
Mental calculation of 2-digit addition & subtraction (non-combination)

Examples
5 + 13 + 9 + 31 + 29 = ?
26 + 3 − 15 + 56 = ?
56 + 10 − 15 + 14 = ?

Question 2

Level 2- Combinations and First Multiplications

Accepted Answer

What will be taught

Via Finger Abacus & Abacus Tool
Addition & subtraction up to 99
−10 combinations, double combinations
Multiplication: 2 digits × 1 digit
Via Mental Math
+5 & −5 combinations (+10 combinations)
Outcome in children
All combinations of 2-digit addition & subtraction
Multiply 2-digit × 1-digit on abacus
Mental addition & subtraction of 2-digit numbers

Examples
87 + 18 + 57 + 62 + 89 = ?
89 × 9 = ?
66 − 1 + 21 + 11 (mentally)

Question 3

Level 3- 3 Digit Mastery and Decimals

Accepted Answer

Duration- 12 Weeks

"What will be taught?"

Via Abacus tool Method:
Addition & subtraction- 2 & 3 digits calculations (mixed combinations)
Decimal addition and subtraction- Up to 3 digits
Multiplication- 2 digits x 1 digit, 3 digits x 1 digit and 4 digit x 1 digit

Via Mental Math Method:
Addition & subtraction- 2 digits (all combinations)
Multiplication- 2 digits x 1 digit, 3 digits x 1 digit

"Outcome in Children"

Upon the completion of Level 3, the children shall be able to do;
All type of addition and subtraction of 2 and 3 digits numbers via Finger Abacus Method and via the Abacus tool.
Decimal Addition and subtraction for up to 3 digits numbers.
Multiplication of 2 digit, 3 digit and 4 digit numbers by 1-digit numbers via Abacus tool.
Mental Calculation- 2 digits addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of 2 digits numbers by 1 digit numbers and 3 digits numbers multiplied by 1 digit numbers without using Abacus tool.

For example- Children shall be able to do the below given calculations;
586 + 259 + 57 + 83 - 278=?
259 + 574 - 663 + 57 - 176=?
&
289.28 + 46.85 - 54.89=?
127.76 + 29.87 - 88.34=?
&
4768 x 9=?
384 x 7=?
9475 x 8=?
&
Mental Calculations
96 + 64 - 25 + 85 =? (Mentally)
86 x 8 =? (Mentally)
846 x 6 =? (Mentally)

Question 4

Level 4- Division Introduced

Accepted Answer

Duration- 12 Weeks

"What will be taught?"

Via Abacus Method:
Addition & subtraction- 2, 3 & 4 digits (all combinations)
Decimals calculation- up to 4 digits (all combinations)
Multiplication- (3 & 4 digits x 1 digit) and (2 digits x 2 digits)
Division- 2, 3 and 4 digits ÷ 1 digits

Via Mental Math Method:
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Upto 3 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digits numbers multiplied by 1 digit without using Abacus tool.

"Outcome in Children"

Upon the completion of Level 4, the children shall be able to do;
All type of addition and subtraction of 2 and 3 and 4 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 4 digits numbers.
Multiplication of upto 4 digit numbers by 1 digit and 2 digit numbers on the Abacus tool.
Divide upto 4 digits numbers by 1 digit numbers on the Abacus tool.
They will start doing metal calculations of basic 2 digit numbers without using Fingers or the Abacus tool.

For example- Children shall be able to do the below given calculations;
8654 + 5735 + 835 - 1864 - 4278 =?
7632 + 9846 - 6573 + 135 - 2176 =?
&
1324.84 + 2464.37 - 756.98 =?
2756.16 + 89.64 - 764.83 =?
&
2346 x 36 =?
1364 x 46 =?
&
7458 ÷ 6 =?
8729 ÷ 8=?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 -364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)

Question 5

Level 5- 2 Digital Divisors and Mental Speed

Accepted Answer

Duration- 12 Weeks

"What will be taught?"

Via Abacus Method:
Addition & subtraction- 3 & 4 digits (all combinations)
Multiplication- (2 digits x 2 digits, 3 digits × 2 digits)
Division- 3 digits ÷ 1 digit, 4 digits ÷ 1 digit, 3 digit ÷ 2 digits and 4 digits ÷ 2 digits

Via Mental Math Method:
Addition & subtraction- 2 & 3 digits (all combinations)
Decimal Addition & subtraction- 4 digits (all combinations)
Multiplication- 3 digits x 1 digit, 4 digits × 1 digit, 2 digits x 2 digits
Division- 2 digits ÷ 1 digit, 3 digits ÷ 1digit, 4 digits ÷ 1digit

"Outcome in Children"

Upon the completion of Level 5, the children shall be able to do;
All type of addition and subtraction of upto 4 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 4 digits numbers.
Multiplication of upto 4 digit numbers by 1 digit and upto 3 digits numbers by 2 digits numbers.
Divide upto 4 digits numbers by 1 digit numbers on the Abacus tool.
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Upto 4 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 2 digit numbers by 2 digit numbers without using Abacus tool.
 Mental Calculation- Dividing upto 4 digit numbers by 1 digit numbers without using Abacus tool.

For example- Children shall be able to do the below given calculations;
7624 + 5627 + 745 - 5343 - 1263 =?
&
6736.84 + 1524.54 - 1634.85 =?
5463.87 + 725.96 - 1264.44 =?
&
7464 x 6 =?
737 x 77 =?
&
8464 ÷ 8 =?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 - 364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
&
6912 ÷ 8 (Mentally)

Question 6

Level 6- Fractions, BODMAS and Bigger Numbers

Accepted Answer

Duration- 12 Weeks

"What will be taught?"

Via Abacus Method:
Addition & subtraction- 4 and 5 digits (all combinations)
Multiplication- 4 digits x 2 digits
Division- 3 digits ÷ 2 digits, 4 digits ÷ 2 digits and 5 digits ÷ 2 digits
Fractions Conversion
BODMAS

Via Mental Math Method:
Addition & subtraction- 2 & 3 digits (all combinations)
Decimal- 4 digits (all combinations)
Multiplication- 2 digits x 2 digits, 3 digits × 2 digits
Division- 4 digits ÷ 1 digit, 3 digits ÷ 2 digits
Fractions conversion

"Outcome in Children"

Upon the completion of Level 6, the children shall be able to do;
All type of addition and subtraction of upto 5 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 4 digits numbers on the Abacus tool.
Multiplication of upto 4 digit numbers multiplied by 2 digits on the Abacus tool.
Divide upto 5 digits numbers by 2 digit numbers on the Abacus tool.
Converting fractions in percentages
Solving BODMAS based calculations
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Upto 4 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 3 digit numbers by 2 digit numbers without using Abacus tool.
 Mental Calculations- Dividing upto 4 digit numbers by 1 digit numbers and 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculations- Doing Fraction conversions without using the Abacus tool.

For example- Children shall be able to do the below given calculations;
98456 + 6343 + 12565 - 63424 - 12534 =?
&
7453.53 + 3644.74 - 6443.74 =?
&
7846 x 68 =?
&
65636 ÷ 6 =?
&
Fraction calculations
& 
14 + (8 – 2 × 3) =?
2 + 4 ÷ (22 + 6) × 2 =?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 -364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
&
6912 ÷ 8 (Mentally)
&
Fraction Conversions (Mentally)

Question 7

Level 7- Percentages and Decimal Operations

Accepted Answer

Duration- 12 Weeks

"What will be taught?"

Via Abacus Method:
Addition & subtraction- 4 and 5 digits (all combinations)
Decimal- 5 digits (all combinations)
Multiplication- 3 digits × 3 digits, 4 digits × 2 digits
Division- 4 digits ÷ 2 digits, 5 digits ÷ 2 digits
Fractions combined operations
Percentage

Via Mental Math Method:
Addition & subtraction- 2 & 3 digits (all combinations)
Multiplication- 3 digits x 2 digits
Division- 4 digits ÷ 1 digits, 3 digits ÷ 2 digits
Decimal addition & subtraction
Decimal multiplication
Decimal divisions
Fractions

"Outcome in Children"

Upon the completion of Level 7, the children shall be able to do;
All type of addition and subtraction of upto 5 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 5 digits numbers on the Abacus tool.
Multiplication of upto 4 digit numbers multiplied by 3 digits on the Abacus tool.
Divide upto 5 digits numbers by 2 digit numbers on the Abacus tool.
Converting fractions
Percentages
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 2 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Dividing upto 4 digit numbers by 1 digit numbers without using Abacus tool.
Mental Calculation- Upto 4 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Decimal multiplication of upto 4 digits
Mental Calculation- Decimal divisions of upto 2 digits
Mental Calculation- Fraction mental calculations

For example- Children shall be able to do the below given calculations;
98456 + 6343 + 12565 - 63424 - 12534 =?
&
7453.53 + 3644.74 - 6443.74 =?
&
7846 x 68 =?
&
65636 ÷ 6 =?
&
Fraction calculations
& 
Solving percentages
&
14 + (8 – 2 × 3) =?
2 + 4 ÷ (22 + 6) × 2 =?
&

Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 - 364.73 =?
&
7452 x 8 =? (Mentally)
&
6912 ÷ 8 =? (Mentally)
&
896 ÷ 32 =? (Mentally)
&
236.82 + 63.45 - 34.86 =? (Mentally)
&
64.34 x 24 =? (Mentally)
&
84.32 ÷ 6 =? (Mentally)
&
Fraction calculations (Mentally)

Question 8

Level 8- Square Roots and Mastery

Accepted Answer

Duration- 12 Weeks

"What will be taught?"

Via Abacus Method:
Addition & subtraction- 4 and 5 digits (all combinations)
Division- 5 digits ÷ 2 digits
Square roots- 3 and 4 digits combined operations

Via Mental Math Method:
Addition & subtraction- 3 and 4 digits (all combinations)
Mixed calculations (÷, - , x, +) with BODMAS rule
Multiplication- 3 digits × 2 digits
Division- 4 digits ÷ 1 digit, 3 digits ÷ 2 digits
Decimal Addition & subtraction- 5 digits (all combinations)
Decimal multiplication
Decimal divisions
Fractions

"Outcome in Children"

Upon the completion of Level 8, the children shall be able to do;
All type of addition and subtraction of upto 5 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 5 digits numbers on the Abacus tool.
Square roots upto 4 digits on the Abacus tool
Multiplication of upto 4 digit numbers multiplied by 3 digits on the Abacus tool.
Divide upto 5 digits numbers by 2 digit numbers on the Abacus tool.
Percentages on the Abacus tool
Mental Calculation- Upto 4 digits addition and subtraction without using Abacus tool.
Mental Calculation- BODMAS based calculations without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Dividing upto 4 digit numbers by 1 digit numbers & 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Upto 5 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Decimal multiplication of upto 4 digits
Mental Calculation- Decimal divisions of upto 2 digits
Mental Calculation- Fraction mental calculations

For example- Children shall be able to do the below given calculations;
98456 + 6343 + 12565 - 63424 - 12534 =?
&
7453.53 + 3644.74 - 6443.74 =?
&
7846 x 68 =?
&
65636 ÷ 6 =?
&
Solving percentages
&
14 + (8 – 2 × 3) =?
2 + 4 ÷ (22 + 6) × 2 =?
&
√(7396) =?
&
5474 + 8462 - 763 + 164 =? (Mentally)
&
84 + (23 – 12 × 6) =? (Mentally)
22 + 34 ÷ (12 + 2) × 42 =? (Mentally)
&
243.34 + 523.74 -364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
843 x 24 =? (Mentally)
&
4537.74 + 2384.21 - 3482.12 =? (Mentally)
&
6345.22 x 8 (Mentally)
&
84.21 ÷ 7 =? (Mentally)
&
Fraction Conversions (Mentally)

Online Abacus Mental Math Classes- Available Globally

A structured journey from first numbers to confident writing.

Eight progressive levels of Abacus & Mental Math and eight years of structured English — designed to grow with your child from age 5 to 14.

Select the course to view the Syllabus

Abacus Mental Math Syllabus

Level 1- Foundation-Finger Abacus and Beads

Level 2- Combinations and First Multiplications

Level 3- 3 Digit Mastery and Decimals

Level 4- Division Introduced

Level 5- 2 Digital Divisors and Mental Speed

Level 6- Fractions, BODMAS and Bigger Numbers

Level 7- Percentages and Decimal Operations

Level 8- Square Roots and Mastery

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