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แบบฝึกเพื่อพัฒนาทักษะการคิดเลขเร็ว-ป.1เล่ม 1

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Published by wonpendarawong, 2020-06-05 01:49:39

แบบฝึกเพื่อพัฒนาทักษะการคิดเลขเร็ว-ป.1เล่ม 1

แบบฝึกเพื่อพัฒนาทักษะการคิดเลขเร็ว-ป.1เล่ม 1

Keywords: คณิตคิดเร็ว

·∫∫Ω°ñ ‡æË◊Õæ—≤π“∑°— …–°“√§¥‘ ‡≈¢‡√Á«
™—πÈ ª√–∂¡»°÷ …“ª∑ï ’Ë Ò
‡≈à¡∑’Ë Ò

‡√Õ◊Ë ß
°“√∫«°®”π«π Õß®”π«π∑Ë¡’ º’ ≈∫«°‰¡‡à °‘π ˘

™Õ◊Ë ............................................................π“¡ °≈ÿ ....................................................
™π—È ª√–∂¡»°÷ …“ª∑ï .Ë’ .......................................‡≈¢∑.’Ë ...................................................
‚√߇√¬’ π................................................................................................................
Õ”‡¿Õ....................................................®—ßÀ«¥— ....................................................

°≈ÿ¡à æ—≤π“°√–∫«π°“√‡√’¬π√Ÿâ
 ”π°— «‘™“°“√·≈–¡“μ√∞“π°“√»°÷ …“
 ”π°— ß“π§≥–°√√¡°“√°“√»÷°…“¢π—È æπÈ◊ ∞“π

°√–∑√«ß»÷°…“∏‘°“√
ÚııÒ

°≈ÿ¡à æ—≤π“°√–∫«π°“√‡√¬’ π√Ÿâ
 ”π—°«™‘ “°“√·≈–¡“μ√∞“π°“√»÷°…“
 ”π°— ß“π§≥–°√√¡°“√°“√»÷°…“¢Èπ— æÈ◊π∞“π
°√–∑√«ß»÷°…“∏‘°“√
æ¡‘ æ§å √ßÈ— ∑Ë’ Ú æ.». ÚııÒ
®”π«πæ‘¡æå Ú, ‡≈¡à
 ß«π≈¢‘  ∑‘ ∏‘Ï  ”π—°ß“π§≥–°√√¡°“√°“√»÷°…“¢—πÈ æ◊Èπ∞“π

°√–∑√«ß»°÷ …“∏°‘ “√

æ¡‘ æ∑å ’Ë ‚√ßæ¡‘ æå™ÿ¡πÿ¡ À°√≥°å “√‡°…μ√·Ààߪ√–‡∑»‰∑¬ ®”°¥—
˜˘ ∂ππß“¡«ß»å«“π ·¢«ß≈“¥¬“« ‡¢μ®μÿ®—°√ °√ÿ߇∑æ¡À“π§√ Ò˘
‚∑√. -ÚıˆÒ-Ùıˆ˜ ‚∑√ “√ -Úı˜˘-ıÒÒ
𓬂™§¥’ ÕÕ ÿ«√√≥ ºâæŸ ‘¡æåºâ‚Ÿ ¶…≥“ æ.». ÚııÒ

§”™’È·®ß

·∫∫Ωñ°‡æ◊ËÕæ—≤π“∑—°…–°“√§‘¥‡≈¢‡√Á« ™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈à¡∑’Ë Ò
¡’«—μ∂ÿª√– ß§å‡æ◊ËÕΩñ°Ωπ„À⺟â‡√’¬π§‘¥‡≈¢‰¥âÕ¬à“ß∂Ÿ°μâÕß √«¥‡√Á« „π‡√◊ËÕß
°“√∫«°®”π«π Õß®”π«π∑’Ë¡’º≈∫«°‰¡à‡°‘π ˘ ®”π«π∑—ÈßÀ¡¥ Ú ™ÿ¥
‚¥¬®”·π°‡ªìπ°“√∫«°®”π«π Õß®”π«π∑’Ë¡’º≈∫«°‰¡à‡°‘π ı ¡’ Ò ™ÿ¥
·≈–°“√∫«°®”π«π Õß®”π«π∑’Ë¡’º≈∫«°‰¡à‡°‘π ˘ ¡’ Ò ™ÿ¥ „™â‡«≈“™ÿ¥≈–
Û π“∑’

°“√∑”·∫∫Ωñ°œ ¢Õ„Àâπ—°‡√’¬πμ—Èß„®∑”·∫∫Ωñ°œ „π·μà≈–™ÿ¥
μ“¡‡«≈“∑’˰”Àπ¥ ‡¡◊ËÕμ√«®§”μÕ∫‡ √Á®·≈â« „Àâπ—°‡√’¬ππ”§–·ππ∑’ˉ¥â
∫—π∑÷°≈ß„π·∫∫∫—π∑÷°§«“¡°â“«Àπâ“ ´÷ËßÕ¬Ÿà∑⓬·∫∫Ωñ°œ ·μà≈–‡√◊ËÕß

1 ·∫∫Ωñ°‡æ◊ËÕæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™πÈ— ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√Ë◊Õß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑Ë¡’ º’ ≈∫«°‰¡‡à °‘π ı

™ÿ¥∑Ë’ Ò

‡«≈“..................∂÷ß....................«—π∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 1 =
Ú. 1 + 1 =
Û. 3 + 1 =
Ù. 2 + 1 =
ı. 4 + 1 =
ˆ. 1 + 2 =
˜. 3 + 2 =
¯. 2 + 2 =
˘. 1 + 3 =
Ò. 2 + 3 =

·∫∫Ωñ°‡æÕË◊ æ≤— π“∑°— …–°“√§¥‘ ‡≈¢‡√Á« 2
™—Èπª√–∂¡»÷°…“ª∑ï ’Ë Ò ‡≈à¡∑Ë’ Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ º’ ≈∫«°‰¡à‡°‘π ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °π‘ ı

™¥ÿ ∑’Ë Ú

‡«≈“..................∂÷ß....................«π— ∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 2 + 0 =
Ú. 2 + 1 =
Û. 4 + 1 =
Ù. 3 + 1 =
ı. 1 + 2 =
ˆ. 3 + 2 =
˜. 2 + 2 =
¯. 2 + 3 =
˘. 1 + 3 =
Ò. 1 + 4 =

3 ·∫∫Ωñ°‡æ◊ËÕæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™πÈ— ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√Ë◊Õß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑Ë¡’ º’ ≈∫«°‰¡‡à °‘π ı

™ÿ¥∑Ë’ Û

‡«≈“..................∂÷ß....................«—π∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 3 =
Ú. 3 + 1 =
Û. 4 + 1 =
Ù. 1 + 1 =
ı. 2 + 1 =
ˆ. 2 + 2 =
˜. 1 + 2 =
¯. 2 + 3 =
˘. 1 + 3 =
Ò. 1 + 4 =

·∫∫Ω°ñ ‡æÕË◊ æ—≤π“∑°— …–°“√§¥‘ ‡≈¢‡√Á« 4
™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑Ë’ Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ º’ ≈∫«°‰¡à‡°‘π ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °π‘ ı

™¥ÿ ∑’Ë Ù

‡«≈“..................∂÷ß....................«π— ∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 4 + 0 =
Ú. 4 + 1 =
Û. 3 + 1 =
Ù. 1 + 1 =
ı. 2 + 1 =
ˆ. 1 + 2 =
˜. 2 + 2 =
¯. 3 + 2 =
˘. 1 + 3 =
Ò. 1 + 4 =

5 ·∫∫Ωñ°‡æ◊ËÕæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™πÈ— ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√◊ÕË ß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑Ë¡’ º’ ≈∫«°‰¡‡à °‘π ı

™¥ÿ ∑’Ë ı

‡«≈“..................∂÷ß....................«—π∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 2 =
Ú. 2 + 1 =
Û. 4 + 1 =
Ù. 1 + 1 =
ı. 3 + 1 =
ˆ. 3 + 2 =
˜. 2 + 2 =
¯. 1 + 2 =
˘. 1 + 3 =
Ò. 2 + 3 =

·∫∫Ω°ñ ‡æÕË◊ æ—≤π“∑°— …–°“√§¥‘ ‡≈¢‡√Á« 6
™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑Ë’ Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ º’ ≈∫«°‰¡à‡°‘π ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °π‘ ı

™¥ÿ ∑’Ë ˆ

‡«≈“..................∂÷ß....................«π— ∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 1 + 0 =
Ú. 1 + 1 =
Û. 4 + 1 =
Ù. 3 + 1 =
ı. 3 + 2 =
ˆ. 2 + 2 =
˜. 1 + 2 =
¯. 2 + 3 =
˘. 1 + 3 =
Ò. 1 + 4 =

7 ·∫∫Ωñ°‡æ◊ËÕæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™πÈ— ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√Ë◊Õß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑Ë¡’ º’ ≈∫«°‰¡‡à °‘π ı

™ÿ¥∑Ë’ ˜

‡«≈“..................∂÷ß....................«π— ∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 0 =
Ú. 3 + 1 =
Û. 2 + 1 =
Ù. 4 + 1 =
ı. 1 + 1 =
ˆ. 1 + 2 =
˜. 3 + 2 =
¯. 1 + 3 =
˘. 2 + 3 =
Ò. 1 + 4 =

·∫∫Ωñ°‡æÕË◊ æ≤— π“∑°— …–°“√§¥‘ ‡≈¢‡√Á« 8
™—Èπª√–∂¡»÷°…“ª∑ï ’Ë Ò ‡≈à¡∑Ë’ Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ º’ ≈∫«°‰¡à‡°‘π ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °π‘ ı

™¥ÿ ∑’Ë ¯

‡«≈“..................∂÷ß....................«π— ∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 5 + 0 =
Ú. 4 + 1 =
Û. 3 + 1 =
Ù. 2 + 1 =
ı. 1 + 1 =
ˆ. 2 + 2 =
˜. 1 + 2 =
¯. 3 + 2 =
˘. 2 + 3 =
Ò. 1 + 4 =

9 ·∫∫Ωñ°‡æÕ◊Ë æ≤— π“∑—°…–°“√§‘¥‡≈¢‡√Á«
™πÈ— ª√–∂¡»°÷ …“ª∑ï ’Ë Ò ‡≈à¡∑’Ë Ò
‡√Õ◊Ë ß °“√∫«°®”π«π Õß®”π«π∑¡’Ë ’º≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡’º≈∫«°‰¡à‡°π‘ ı

™ÿ¥∑’Ë ˘

‡«≈“..................∂÷ß....................«π— ∑’.Ë ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + ˆ. 1 +
4 2

Ú. 2 + ˜. 3 +
1 2

Û. 3 + ¯. 2 +
1 2

Ù. 1 ˘. 1
+ +

1 3

ı. 2 + Ò. 2 +
1 3

·∫∫Ωñ°‡æËÕ◊ æ—≤π“∑°— …–°“√§¥‘ ‡≈¢‡√Á« 10
™Èπ— ª√–∂¡»°÷ …“ª∑ï ’Ë Ò ‡≈à¡∑Ë’ Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑Ë¡’ º’ ≈∫«°‰¡à‡°π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °π‘ ı

™ÿ¥∑’Ë Ò

‡«≈“..................∂÷ß....................«π— ∑.’Ë ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 3 + ˆ. 2 +
0 2

Ú. 1 + ˜. 1 +
1 2

Û. 4 + ¯. 2 +
1 3

Ù. 3 ˘. 1
+ +

1 3

ı. 3 + Ò. 1 +
2 4

11 ·∫∫Ωñ°‡æÕË◊ æ≤— π“∑°— …–°“√§¥‘ ‡≈¢‡√«Á
™Èπ— ª√–∂¡»÷°…“ªï∑Ë’ Ò ‡≈à¡∑Ë’ Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑’Ë¡’º≈∫«°‰¡à‡°‘π ˘

·∫∫∫—π∑°÷ §«“¡°“â «Àπâ“

·∫∫Ω°ñ ‡æÕË◊ æ≤— π“∑°— …–°“√§¥‘ ‡≈¢‡√«Á ‡≈¡à ∑’Ë Ò
‡√ÕË◊ ß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ı

®”π«π¢Õâ ∑Ë’∑”∂Ÿ° (§–·ππ)

10
9
8
7
6
5
4
3
2
1
0

1 2 3 4 5 6 7 8 9 10 ™ÿ¥∑Ë’

·∫∫Ω°ñ ‡æËÕ◊ æ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√«Á 12
™—Èπª√–∂¡»°÷ …“ªï∑Ë’ Ò ‡≈à¡∑Ë’ Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑¡’Ë ’º≈∫«°‰¡‡à °‘π ˘

°“√∫«°®”π«π Õß®”π«π∑Ë’¡’º≈∫«°‰¡‡à °π‘ ˘

™¥ÿ ∑Ë’ Ò

‡«≈“..................∂ß÷ ....................«π— ∑Ë.’ ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 6 + 0 =
Ú. 2 + 1 =
Û. 1 + 4 =
Ù. 5 + 1 =
ı. 4 + 2 =
ˆ. 6 + 2 =
˜. 4 + 4 =
¯. 5 + 4 =
˘. 1 + 6 =
Ò. 2 + 6 =

13 ·∫∫Ω°ñ ‡æË◊Õæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °‘π ˘

™ÿ¥∑’Ë Ú

‡«≈“..................∂÷ß....................«π— ∑’Ë........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 6 =
Ú. 3 + 2 =
Û. 3 + 1 =
Ù. 6 + 1 =
ı. 5 + 2 =
ˆ. 3 + 3 =
˜. 2 + 4 =
¯. 1 + 5 =
˘. 3 + 6 =
Ò. 1 + 7 =

·∫∫Ω°ñ ‡æËÕ◊ æ—≤π“∑°— …–°“√§‘¥‡≈¢‡√«Á 14
™—Èπª√–∂¡»°÷ …“ªï∑’Ë Ò ‡≈à¡∑’Ë Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ ’º≈∫«°‰¡‡à °‘π ˘

°“√∫«°®”π«π Õß®”π«π∑Ë’¡’º≈∫«°‰¡‡à °π‘ ˘

™¥ÿ ∑Ë’ Û

‡«≈“..................∂ß÷ ....................«π— ∑Ë.’ ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 7 + 0 =
Ú. 4 + 1 =
Û. 2 + 3 =
Ù. 7 + 1 =
ı. 7 + 2 =
ˆ. 4 + 3 =
˜. 3 + 4 =
¯. 3 + 5 =
˘. 2 + 7 =
Ò. 1 + 7 =

15 ·∫∫Ω°ñ ‡æË◊Õæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °‘π ˘

™ÿ¥∑’Ë Ù

‡«≈“..................∂÷ß....................«π— ∑’Ë........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 8 =
Ú. 3 + 1 =
Û. 2 + 2 =
Ù. 8 + 1 =
ı. 5 + 1 =
ˆ. 5 + 3 =
˜. 6 + 3 =
¯. 4 + 4 =
˘. 2 + 7 =
Ò. 1 + 8 =

·∫∫Ω°ñ ‡æËÕ◊ æ—≤π“∑—°…–°“√§‘¥‡≈¢‡√Á« 16
™—Èπª√–∂¡»°÷ …“ª∑ï Ë’ Ò ‡≈¡à ∑Ë’ Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑’¡Ë ’º≈∫«°‰¡‡à °‘π ˘

°“√∫«°®”π«π Õß®”π«π∑Ë’¡’º≈∫«°‰¡‡à °π‘ ˘

™¥ÿ ∑Ë’ ı

‡«≈“..................∂ß÷ ....................«π— ∑Ë.’ ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 8 + 0 =
Ú. 1 + 2 =
Û. 3 + 2 =
Ù. 6 + 1 =
ı. 7 + 2 =
ˆ. 4 + 3 =
˜. 6 + 3 =
¯. 4 + 5 =
˘. 3 + 5 =
Ò. 1 + 8 =

17 ·∫∫Ω°ñ ‡æË◊Õæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√Õ◊Ë ß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °‘π ˘

™ÿ¥∑’Ë ˆ

‡«≈“..................∂÷ß....................«—π∑.’Ë ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 7 =
Ú. 2 + 2 =
Û. 1 + 2 =
Ù. 8 + 1 =
ı. 7 + 1 =
ˆ. 4 + 2 =
˜. 3 + 3 =
¯. 5 + 4 =
˘. 2 + 5 =
Ò. 4 + 5 =

·∫∫Ω°ñ ‡æËÕ◊ æ—≤π“∑—°…–°“√§‘¥‡≈¢‡√«Á 18
™—Èπª√–∂¡»°÷ …“ªï∑’Ë Ò ‡≈à¡∑’Ë Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ ’º≈∫«°‰¡‡à °‘π ˘

°“√∫«°®”π«π Õß®”π«π∑Ë’¡’º≈∫«°‰¡‡à °π‘ ˘

™¥ÿ ∑Ë’ ˜

‡«≈“..................∂ß÷ ....................«π— ∑Ë.’ ........./........../..........

10

®ßÀ“º≈∫«°

Ò. 9 + 0 =
Ú. 3 + 2 =
Û. 2 + 1 =
Ù. 7 + 1 =
ı. 6 + 1 =
ˆ. 6 + 2 =
˜. 5 + 3 =
¯. 3 + 4 =
˘. 2 + 5 =
Ò. 1 + 6 =

19 ·∫∫Ω°ñ ‡æË◊Õæ—≤π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™—Èπª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√◊ËÕß °“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡‡à °π‘ ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡‡à °‘π ˘

™ÿ¥∑’Ë ¯

‡«≈“..................∂÷ß....................«π— ∑’Ë........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + 9 =
Ú. 2 + 3 =
Û. 4 + 1 =
Ù. 8 + 1 =
ı. 5 + 2 =
ˆ. 4 + 2 =
˜. 3 + 4 =
¯. 5 + 4 =
˘. 3 + 5 =
Ò. 3 + 6 =

·∫∫Ω°ñ ‡æË◊Õæ—≤π“∑°— …–°“√§‘¥‡≈¢‡√«Á 20
™—Èπª√–∂¡»°÷ …“ªï∑’Ë Ò ‡≈à¡∑’Ë Ò
‡√◊ÕË ß °“√∫«°®”π«π Õß®”π«π∑¡’Ë º’ ≈∫«°‰¡à‡°‘π ˘

°“√∫«°®”π«π Õß®”π«π∑’Ë¡’º≈∫«°‰¡‡à °‘π ˘

™ÿ¥∑’Ë ˘

‡«≈“..................∂÷ß....................«π— ∑’Ë........../........../..........

10

®ßÀ“º≈∫«°

Ò. 8 + ˆ. 3 +
0 3

Ú. 1 + ˜. 4 +
3 4

Û. 4 + ¯. 2 +
1 4

Ù. 5 ˘. 2
+ +

1 6

ı. 6 + Ò. 3 +
2 6

21 ·∫∫Ωñ°‡æÕË◊ æ—≤π“∑—°…–°“√§‘¥‡≈¢‡√«Á
™Èπ— ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈à¡∑’Ë Ò
‡√◊ÕË ß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ ’º≈∫«°‰¡‡à °‘π ˘

°“√∫«°®”π«π Õß®”π«π∑Ë’¡º’ ≈∫«°‰¡à‡°‘π ˘

™¥ÿ ∑’Ë Ò

‡«≈“..................∂ß÷ ....................«—π∑Ë’........../........../..........

10

®ßÀ“º≈∫«°

Ò. 0 + ˆ. 5 +
9 3

Ú. 3 + ˜. 4 +
1 4

Û. 1 + ¯. 2 +
4 6

Ù. 5 ˘. 1
+ +

2 6

ı. 7 + Ò. 2 +
2 7

·∫∫Ωñ°‡æË◊Õæ—≤π“∑°— …–°“√§¥‘ ‡≈¢‡√«Á 22
™π—È ª√–∂¡»÷°…“ªï∑Ë’ Ò ‡≈à¡∑Ë’ Ò
‡√Õ◊Ë ß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ º’ ≈∫«°‰¡à‡°π‘ ˘

·∫∫∫—π∑°÷ §«“¡°â“«Àπâ“

·∫∫Ωñ°‡æËÕ◊ æ≤— π“∑—°…–°“√§¥‘ ‡≈¢‡√Á« ‡≈¡à ∑’Ë Ò
‡√ËÕ◊ ß °“√∫«°®”π«π Õß®”π«π∑¡’Ë º’ ≈∫«°‰¡‡à °π‘ ˘

®”π«π¢Õâ ∑’Ë∑”∂°Ÿ (§–·ππ)

10
9
8
7
6
5
4
3
2
1
0

1 2 3 4 5 6 7 8 9 10 ™ÿ¥∑Ë’

23 ·∫∫Ωñ°‡æË◊Õæ—≤π“∑—°…–°“√§‘¥‡≈¢‡√Á«
™—πÈ ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈à¡∑Ë’ Ò
‡√Ë◊Õß °“√∫«°®”π«π Õß®”π«π∑¡Ë’ ’º≈∫«°‰¡à‡°‘π ˘

§≥–∑”ß“π

∑ªË’ √°÷ …“
Ò. §ÿ≥À≠‘ß°…¡“ «√«√√≥ ≥ Õ¬ÿ∏¬“
‡≈¢“∏‘°“√§≥–°√√¡°“√°“√»÷°…“¢—Èπæ◊Èπ∞“π
Ú. 𓬠¡‡°’¬√μ‘ ™Õ∫º≈
√Õ߇≈¢“∏‘°“√§≥–°√√¡°“√°“√»÷°…“¢—Èπæ◊Èπ∞“π
Û. 𓬫‘π—¬ √Õ¥®à“¬
√Õ߇≈¢“∏‘°“√§≥–°√√¡°“√°“√»÷°…“¢—Èπæ◊Èπ∞“π

º∑⟠√ß§≥ÿ «≤ÿ ‘
Ò. 𓬠ÿ™“μ‘ «ß»å ÿ«√√≥
∑’˪√÷°…“¥â“πæ—≤π“°√–∫«π°“√‡√’¬π√âŸ
Ú. π“ß “««—π∑¬“ «ß»å»‘≈ª¿‘√¡¬å
∑’˪√÷°…“¥â“π¡“μ√∞“π°“√»÷°…“
Û. π“߇∫≠®≈—°…≥å πÈ”øÑ“
ºâŸÕ”𫬰“√ ”π—°«‘™“°“√·≈–¡“μ√∞“π°“√»÷°…“
Ù. √».¥√.®‘√“¿√≥å »‘√‘∑«’
‚√߇√’¬π “∏‘μ·Ààß¡À“«‘∑¬“≈—¬‡°…μ√»“ μ√å
»πŸ ¬å«‘®—¬·≈–æ—≤π“°“√»÷°…“
ı. √».ª√–æπ∏å ®à“¬‡®√‘≠
‚√߇√’¬π “∏‘μ¡À“«‘∑¬“≈—¬»√’π§√‘π∑√«‘‚√≤ ª√– “π¡‘μ√ ΩÉ“¬ª√–∂¡
ˆ. √».æ—™√’ «√®√— √—ß ’
‚√߇√’¬π “∏‘μ®ÿÓ≈ß°√≥å¡À“«‘∑¬“≈—¬ ΩÉ“¬ª√–∂¡
˜. π“ß “««’≥“ Õ—§√∏√√¡
ºŸâ‡™’ˬ«™“≠¥â“πæ—≤π“π«—μ°√√¡°“√‡√’¬π√âŸ
¯. 𓬪√“‚¡∑¬å ¢®√¿—¬
»÷°…“π‘‡∑»°å  æ∑.°√ÿ߇∑æ¡À“π§√ ‡¢μ Ò

·∫∫Ω°ñ ‡æ◊ÕË æ≤— π“∑—°…–°“√§¥‘ ‡≈¢‡√Á« 24
™Èπ— ª√–∂¡»÷°…“ªï∑’Ë Ò ‡≈¡à ∑’Ë Ò
‡√Õ◊Ë ß °“√∫«°®”π«π Õß®”π«π∑’Ë¡º’ ≈∫«°‰¡à‡°π‘ ˘

˘. π“¬Àƒ…Æåæ—π∏ÿå ª√’™æ—π∏ÿå
ºŸâ®—¥°“√Õ“«ÿ‚  ∫√‘…—∑§ÿ¡Õß (‰∑¬·≈π¥å) ®”°—¥

Ò. π“¬π“«’ ¬—Ë߬◊π
ºŸâÕ”π«¬°“√‚√߇√’¬πª∑ÿ¡§ß§“ °√ÿ߇∑æ¡À“π§√

º√⟠∫— º‘¥™Õ∫‚§√ß°“√  ”π—°«‘™“°“√·≈–¡“μ√∞“π°“√»÷°…“

°≈ÿà¡æ—≤π“°√–∫«π°“√‡√’¬π√âŸ
Ò. π“ß “«°—≠π‘°“ æ√“À¡≥åæ‘∑—°…å
Ú. π“ß “«»√‘π∑√ ‡»√…∞°“√ÿ≥¬å
Û. π“ß “««√≥—π ¢ÿπ»√’
Ù. 𓬠—πμ‘ ÿ¢  —πμ‘»“ π ÿ¢
ı. π“ß “«‡ª√¡«¥’ »√’∏πæ≈

ºâŸ‡¢’¬π

Ò. π“ß “«®ß°≈≥’ ®—π∑√—ß…å
»÷°…“π‘‡∑»°å  æ∑.Õÿ∑—¬∏“π’

Ú. π“ߪí≠≠“π“√∂ °Õß·°â«
§√Ÿ‚√߇√’¬π«—¥™—¬™π– ß§√“¡ °√ÿ߇∑æ¡À“π§√

Û. π“ß “«‡æÁ≠π¿“ ‡æ™√¢”
§√‚Ÿ √߇√’¬π«—¥™—¬™π– ß§√“¡ °√ÿ߇∑æ¡À“π§√

ºâŸ∫√√≥“∏°‘ “√

Ò. π“ß “«°—≠π‘°“ æ√“À¡≥åæ‘∑—°…å  ”π—°«‘™“°“√·≈–¡“μ√∞“π°“√»÷°…“

Ú. π“ß “««√≥—π ¢ÿπ»√’  ”π—°«‘™“°“√·≈–¡“μ√∞“π°“√»÷°…“

º®Ÿâ ¥— æ¡‘ æμå πâ ©∫∫—  ”π—°‡∑§‚π‚≈¬’‡æ◊ËÕ°“√‡√’¬π°“√ Õπ
π“ß “«™≈ƒ∑—¬ º≈«“∑‘μ

ºŸâÕÕ°·∫∫ª°
𓬪√–‡∑»  ÿ¢ ∂‘μ¬å

25 ·∫∫Ω°ñ ‡æ◊ËÕæ≤— π“∑—°…–°“√§¥‘ ‡≈¢‡√Á«
™—Èπª√–∂¡»°÷ …“ª∑ï Ë’ Ò ‡≈¡à ∑Ë’ Ò
‡√ÕË◊ ß °“√∫«°®”π«π Õß®”π«π∑Ë’¡’º≈∫«°‰¡‡à °‘π ˘

æ¡‘ æ∑å ’Ë ‚√ßæ‘¡æ™å ¡ÿ πÿ¡ À°√≥å°“√‡°…μ√·Ààߪ√–‡∑»‰∑¬ ®”°¥—
˜˘ ∂ππß“¡«ß»å«“π ·¢«ß≈“¥¬“« ‡¢μ®μÿ®—°√ °√ÿ߇∑æ¡À“π§√ Ò˘
‚∑√. -ÚıˆÒ-Ùıˆ˜ ‚∑√ “√ -Úı˜˘-ıÒÒ
𓬂™§¥’ ÕÕ ÿ«√√≥ ºâæŸ ‘¡æåºâ‚Ÿ ¶…≥“ æ.». Úıı


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