Training book
1st level
Sato _anak_pintar
Greetings! my young friend! My name is Sato. I will help you learn arithmetic easily, fun and interesting! Follow me to the wonderful world of numbers! Let’s get acquainted! What’s your name? How old are you? Do you have a hobby?
Glad to meet you, now we are friends! I want to tell you a secret! In our world, there are only 10 digits “1,2,3,4,5,6,7,8,9,0”. We can make any number from these numbers! Surprised?
Follow me and you will find out how it works! Your friend, Sato Anak Pintar
1 lesson Let’s get acquainted with the main tool of mental arithmetic! The Abacus is the grandfather of a calculator. It was invented in the 5th century BC. Ancient people made calculations using the abacus. There are knitting needles and bones on the abacus. Each of them means a number.
4
1 lesson To work with the abacus, we use three fingers, thumb, index, and middle. The thumb means + (1,2,3,4). Middle finger - (1,2,3,4). The middle finger is the number 5 (+5-5).
To work with the abacus, we use three fingers, thumb, index, and middle. The thumb means + (1,2,3,4). Middle finger - (1,2,3,4). The middle finger is the number 5 (+5-5).
5
1 lesson Let’s start the first task? When completing the task using the technique of three fingers
6
1
2
9 -2 -5
4 -1 -2
1
2
1 1 7
3
4
5
6
7
8
9 10
2 6 -7
6 3 -5
8 1 -4
7 2 -3
2 2 -1
5 0 -5
3
4
5
6
7
8
9 10
2 1 5
5 1 3
7 1 1
3 1 5
8 1 5
5 1 0
6 2 1
5 0 4
1
2
3
4
5
6
7
8
9 10
2 2 -1
1 3 -2
3 0 -3
4 -2 2
1 -1 4
2 2 0
3 -2 3
4 -3 1
8 -5 -1
1 1 -2
3 6 -5
5 3 1
2 -1 3
2 lesson
When completing the task using the technique of three fingers
1
2
9 -7 6 -7
6 -5 7 -6
1
2
2 7 -8 1
9 0 -7 5
1
2
9 -9 9 -5 -2
2 6 1 -8 1
3 8 -6 7 -9
3 3 1 -2 7
3 8 1 -6 -3 2
4
5
6
7
8
9 10
6 -6 9 -8
7 -6 0 8
8 -8 9 -7
7 -6 8 -6
9 0 -7 6
6 0 -6 8
4
5
6
7
8
9 10
1 0 7 -6
8 1 -6 5
7 2 -8 6
4 -3 5 3
6 3 -8 -1
5 4 -7 5
4
5
6
7
8
9 10
1 6 -6 8 -5
7 1 -6 5 2
3 -2 -1 9 -8
6 2 -7 5 3
4 -2 -1 8 -8
5 -5 8 -1 2
7 2 -8 6
0 6 -1 4
9 0 -9 2 0
7
2 lesson When completing the task using the technique of three fingers
1
2
1 8 -5 -2 6
1 7 -2 -1 -5
3 1 6 -1 0 -5
4
5
6
7
8
9 10
2 -2 5 4 -8
2 2 5 -9 9
2 1 5 1 -8
3 6 0 -8 1
3 5 1 0 -5
3 0 1 0 5
Let’s get creative! Paint mandalas, use 6 different colors!
The lesson finished! You did a great job! See you in the next lesson! Your friend, Sato Anak pintar 8
4 5 -8 -1 7
3 lesson When completing the task using the technique of three fingers
1
2
1 1 2 -3 5 -1
2 2 5 -4 3 -1
1
2
1
2
5 4 -6 -2 5 1
8 -5 -1 2 -4 3
1 7 -5 6 -3 -1
3 -1 6 1 -8 5
3
4
5
6
7
8
9 10
7 1 1 -4 -5 8
8 1 -5 -2 1 -2
9 -1 -2 -1 3 -5
2 6 1 -5 -3 6
3 6 -5 -2 7 -1
2 7 -4 3 -5 -1
3
4
5
6
7
8
9 10
3
4
5
6
7
8
9 10
1 6 1 -3 2 -5
2 -1 3 5 -7 1
5 3 -8 6 1 1
4 -2 -1 6 -5 7
6 2 -1 -5 -2 8
3 5 -2 3 -6 -1
8 -3 4 -5 -2 6
4 -2 6 1 -8 3
7 1 1 -6 -2 8
6 2 -1 -5 7 -3
4 -3 8 -5 5 -7
9 -3 -5 -1 8 -6
1 5 2 -3 4 -8
7 -6 1 5 1 -2
5 4 -7 -1 7 -3
1 8 -5 -3 7 -5
1 7 -5 6 -4 3
9 -1 -5 -2 6 -7
9
3 lesson When completing the task using the technique of three fingers
1
2
2 2 -1 5 -1 2
3 5 1 -8 2 6
1
2
1
2
7 1 -2 -5 6 -1
8 -3 4 -9 8 -3
10
8 1 -4 -5 2 6
7 1 -5 -1 2 5
3
4
5
6
7
8
9 10
4 -2 5 2 -9 6
6 1 -7 8 -7 8
2 6 -1 2 -7 1
8 -6 1 -3 9 -8
6 -6 7 -5 -2 1
9 -7 2 -1 -2 8
3
4
5
6
7
8
9 10
3
4
5
6
7
8
9 10
7 -6 3 -1 -1 6
1 1 2 5 -8 3
1 1 5 -6 3 -2
2 5 1 -7 6 2
2 6 1 -4 3 -8
1 6 2 -3 1 -7
2 2 -3 5 2 -7
2 2 -3 5 2 -6
1 7 1 -4 3 -1
1 6 -5 2 5 -8
9 -1 5 -1 2 -4
2 1 5 -3 4 -9
1 1 2 5 -7 2
4 5 -9 3 6 -5
6 -1 4 -2 -5 6
3 6 -7 -2 8 -5
5 4 -7 1 6 -4
5 4 -9 2 6 -3
3 lesson When completing the task using the technique of three fingers
1
2
8 -6 4 -1 2 -1
1 7 -6 2 5 -3
1
2
4 5 -9 6 -1 2
2 6 1 -8 6 -1
3 6 -5 2 5 -7 2
3
1 2 1 5 -6 -2
4
5
6
7
8
9 10
7 1 1 -4 3 -6
2 5 2 -6 1 -3
1 6 2 -4 3 -7
4 -3 6 -5 2 5
2 6 1 -4 2 -5
5 1 1 -6 7 -3
4
5
6
7
8
9 10
1 6 2 -4 2 -6
8 -5 1 -3 6 -7
1 7 -6 5 1 -7
9 -2 -5 -1 6 2
2 5 2 -6 -1 7
5 3 -2 3 -8 6
9 -5 -2 -1 3 -4
3 1 -4 9 -7 6
Congratulations! You make a great result! I’ll see you again!
11
4 lesson Draw the abacus on each digit. Use your favorite color!
7
1
3
9
2
4
5
0
Are you aware that one digit is missing? Write what?
12
4 lesson Solve the task by using the abacus
1
2
8 -5 -1 7 -4 3
3 1 -3 7 -5 6
1
2
1
2
1 2 1 5 -8 6
1 6 2 -7 1 5
8 -1 -6 2 6 -9
8 1 -8 3 -2 7
3
4
5
6
7
8
9 10
1 7 -6 7 -2 -1
2 1 1 5 -7 5
5 3 -2 -6 9 -4
7 -5 6 -1 -1 3
6 1 -2 4 -8 7
3 -2 5 2 -6 2
3
4
5
6
7
8
9 10
3
4
5
6
7
8
9 10
4 -2 5 1 -6 2
5 3 -2 3 -8 -1
9 -3 -5 6 -5 7
1 6 2 -4 1 -5
6 2 -7 3 -4 8
3 -2 7 -5 6 -8
2 7 -5 -1 -1 -2
4 -3 8 -9 5 3
5 1 2 1 -7 6
9 -5 -3 6 -1 2
7 -1 3 -8 1 7
2 7 -1 -5 -1 2
3 -1 -1 8 -9 4
7 1 -5 1 -4 9
4 -2 7 -8 1 6
9 -5 -2 -1 8 -6
6 1 1 -5 6 -8
2 1 5 -8 9 -6
13
4 lesson
1
2
7 -6 8 -7 2 -3
5 2 2 -8 3 -2
3 4 -2 -1 7 -5 6
4
5
6
7
8
9 10
3 -2 8 -4 2 1
6 -1 4 -8 2 5
2 5 2 -8 2 -1
9 -3 -5 7 -2 -5
1 6 2 -7 6 -7
8 1 -7 -1 7 1
Congratulations! You make a great result! I’ll see you again!
14
8 -7 1 1 -2 6
5 lesson Solve the task by using the abacus
1
2
9 -1 -6 -1 7 -5
1 6 2 -7 2 -4
1
2
4 -2 -1 8 -9 4
6 -5 8 -2 -2 3
1
2
1 5 1 -6 1 7
9 -3 -5 3 -4 7
3 4 -3 8 -1 -5 -2
3 1 6 2 -7 6 -3
3 8 -2 3 -9 8 -5
4
5
6
7
8
9 10
5 4 -8 1 1 6
8 -5 6 -3 1 -7
2 6 -3 1 1 1
6 1 1 -7 3 -2
7 2 -4 2 -5 6
3 5 -6 1 6 -8
4
5
6
7
8
9 10
3 -2 7 -5 -1 7
7 1 -3 4 -9 9
2 1 6 -2 1 -7
9 -3 -5 8 -1 -6
8 -5 6 -4 2 -5
5 1 1 -5 7 -8
4
5
6
7
8
9 10
2 6 -5 1 -3 6
6 2 1 -8 3 -2
5 -5 8 -5 1 -4
3 -1 7 -9 7 -2
2 1 6 -3 1 -6
4 -3 8 -4 3 -6
2 -1 7 1 -8 -1
1 8 -3 -1 4 -7
7 -6 3 -1 6 -8
15
5 lesson
16
1
2
1 7 1 -6 -3 9
5 1 3 -4 -5 7
3 3 6 -1 -7 8 -5
4
5
6
7
8
9 10
4 -3 8 -2 1 -2
6 -5 2 5 -7 3
8 -1 -2 4 -3 -5
9 -5 -3 8 -7 1
2 5 -5 7 -8 1
7 -1 3 -8 2 6
1 3 -9 4 -2 7
6 lesson
17
6 lesson
18
7 lesson Use your mental map and your imagination for this task
19
7 lesson Use your mental map and your imagination for this task
20
7 lesson
21
8 lesson Use your mental map and your imagination for this task
22
8 lesson Use your mental map and your imagination for this task
23
8 lesson Include the missing numbers using the abacus
24
8 lesson
25
Congratulations, my friend! Now you know what mental arithmetic and abacus are! You did a great job! Follow me further! See you at the next stage!
Training book
1st level