Математическо състезание

1. ʦʫʸʰʶʪʫʻˁʶʽ ʺʤ˃ʫʺʤ˃ʰˋʫˁʶʽ ˁˎˁ˃ʫʯʤʻʰʫ 16.04.2011 ̐. I ̡̣̭̌
Ɋɟɝɥɚɦɟɧɬ: ȼɫɹɤɚ ɡɚɞɚɱɚ ɨɬ 1 ɞɨ 15 ɢɦɚ ɫɚɦɨ ɟɞɢɧ ɜɟɪɟɧ ɨɬɝɨɜɨɪ. 15 ɬɟɫɬɨɜɢ ɡɚɞɚɱɢ ɫɚ
ɪɚɡɞɟɥɟɧɢ ɧɚ ɝɪɭɩɢ ɩɨ ɬɪɭɞɧɨɫɬ: ɨɬ 1 ɞɨ 5 ɫɟ ɨɰɟɧɹɜɚɬ ɫ ɩɨ 3 ɬɨɱɤɢ; ɨɬ 6 ɞɨ 10 - ɫ ɩɨ 5
ɬɨɱɤɢ ɢ ɨɬ 11 ɞɨ 15 – ɫ ɩɨ 7 ɬɨɱɤɢ.
Ɉɪɝɚɧɢɡɚɬɨɪɢɬɟ ȼɢ ɩɨɠɟɥɚɜɚɬ ɭɫɩɟɯ !
ʰʺʫ: …………………………………………………………………………………………………………………………………………………………………………………………………………………………….
˄ˋʰʸʰˍʫ: ………………………………………………………………………………………………………………………………………………………………………………………………………….
1. ȼ ɤɨɣ ɪɟɞ ɫɚ ɡɚɩɢɫɚɧɢ ɱɢɫɥɚɬɚ ɦɟɠɞɭ 14 ɢ 19?
ɚ) 10, 11, 12, 13 ɛ)14, 15, 16, 17 ɜ) 15, 16, 17, 18 ɝ) 17, 18, 19, 20
2. ȼ ɤɨɹ ɨɬ ɝɪɭɩɢɬɟ ɩɪɨɩɭɫɧɚɬɢɬɟ ɱɢɫɥɚ ɫɚ ɩɨ-ɦɚɥɤɢ ɨɬ ɧɚɣ-ɦɚɥɤɨɬɨ
ɞɜɭɰɢɮɪɟɧɨ ɱɢɫɥɨ?
ɚ) + 7 = 12 ɛ) - 6 = 4 ɜ) 16 + = 18 ɝ) 12 - = 9
5 + = 14 17 - = 10 10 - = 0 3 + = 16
3. ɉɪɨɩɭɫɧɚɬɢɬɟ ɱɢɫɥɚ ɜ ɪɟɞɢɰɚɬɚ 0, 3, 6, …, …, 15 ɫɚ:
ɚ) 10 ɢ 12 ɛ) 9 ɢ 11 ɜ) 8 ɢ 11 ɝ) 9 ɢ 12
4. Ɋɚɡɥɢɤɚɬɚ 16 – 8 ɟ ɪɚɜɧɚ ɧɚ:
ɚ) ɭɦɚɥɹɟɦɨɬɨ ɛ) ɭɦɚɥɢɬɟɥɹ ɜ) ɫɴɛɢɪɚɟɦɨɬɨ ɝ) ɫɛɨɪɚ
5. Ȼɚɛɚ ȼɟɥɢɤɚ ɛɨɹɞɢɫɚɥɚ 14 ɱɟɪɜɟɧɢ ɢ 5 ɡɟɥɟɧɢ ɹɣɰɚ. ɋ ɤɨɥɤɨ ɱɟɪɜɟɧɢɬɟ
ɹɣɰɚ ɫɚ ɩɨɜɟɱɟ ɨɬ ɡɟɥɟɧɢɬɟ?
ɚ) 7 ɛ) 8 ɜ) 9 ɝ) 10
6. ɉɨɫɬɚɜɟɬɟ ɡɧɚɰɢɬɟ “+” ɢ “–“ ɦɟɠɞɭ ɰɢɮɪɢɬɟ 2 3 4 5 6 = 12, ɡɚ ɞɚ
ɩɨɥɭɱɢɬɟ ɜɹɪɧɨ ɪɚɜɟɧɫɬɜɨ. Ɇɟɠɞɭ ɰɢɮɪɢɬɟ 3 ɢ 4, 4 ɢ 5 ɩɨɫɬɚɜɢɯɬɟ ɡɧɚɰɢɬɟ
ɚ) +, + ɛ) -, + ɜ) -, - ɝ) +, -
7. Ʉɨɥɤɨ ɮɢɝɭɪɤɢ ɧɚɣ-ɦɚɥɤɨ ɬɪɹɛɜɚ ɞɚ ɦɚɯɧɟɦ, ɡɚ ɞɚ
ɨɫɬɚɧɚɬ ɮɢɝɭɪɤɢ ɫɚɦɨ ɨɬ ɟɞɢɧ ɜɢɞ?
ɚ) 10 ɛ) 9 ɜ) 8 ɝ) 7
8. Ɇɚɦɚ ɤɭɩɢɥɚ ɛɚɧɚɧɢ. ɂɡɹɞɨɯɦɟ ɫ Ʉɪɚɫɢ ɩɨ ɟɞɢɧ ɢ ɨɫɬɚɧɚɯɚ ɫ 3 ɩɨɜɟɱɟ ɨɬ
ɢɡɹɞɟɧɢɬɟ. Ʉɨɥɤɨ ɛɚɧɚɧɢ ɟ ɤɭɩɢɥɚ ɦɚɦɚ?
ɚ) 7 ɛ) 5 ɜ) 4 ɝ) 3
9. Ⱦɟɰɚ ɢɝɪɚɹɬ ɫ ɬɨɩɤɢ, ɜɴɠɟɬɚ ɢ ɨɛɪɴɱɢ, ɤɚɬɨ ɜɫɹɤɨ ɢɝɪɚɟ ɫɚɦɨ ɫ ɟɞɢɧ ɭɪɟɞ.
Ɍɪɢ ɞɟɰɚ ɧɟ ɢɝɪɚɹɬ ɫ ɬɨɩɤɢ ɢ ɜɴɠɟɬɚ, 6 ɞɟɰɚ ɧɟ ɢɝɪɚɹɬ ɫ ɨɛɪɴɱɢ ɢ ɬɨɩɤɢ, ɚ 7
ɞɟɰɚ ɧɟ ɢɝɪɚɹɬ ɫ ɜɴɠɟɬɚ ɢ ɨɛɪɴɱɢ. Ʉɨɥɤɨ ɫɚ ɜɫɢɱɤɢɬɟ ɞɟɰɚ?
ɚ) 12; ɛ) 13; ɜ) 16; ɝ) 15
m
ath-bg.com
= 18
= 0= 0
…, …, 15…, 15 ɫɚɫɚ:
ɜ) 88 ɢɢ 111
ɹɹ ɜɜ)) ɫɴɛɢɪɫɴɛ
4 ɱɟɪɜɟɧɢ ɢɱɟɪɜɟɧɢ ɢ 5 ɡ
ɟ??
ɛ) 88
ɢɬɟɟ “+”“+” ɢɢ “–““– ɦ
ɪɚɜɟɧɫɬɜɨɚɜɟɧɫɬɜɨ. Ɇɟ
ɛɛ) -, +)
oo

2. 10. Ʉɨɥɤɨ ɫɚ ɩɪɚɜɨɴɝɴɥɧɢɰɢɬɟ ɧɚ ɱɟɪɬɟɠɚ?
ɚ) 12 ɛ) 10 ɜ) 6 ɝ) 5
11. ɑɢɫɥɚɬɚ 5, 6, 7, 8, 9, 10, 11, 12 ɬɪɹɛɜɚ ɞɚ ɫɟ ɩɨɫɬɚɜɹɬ ɩɨ ɟɞɢɧ ɩɴɬ ɜ
ɤɪɴɝɱɟɬɚɬɚ, ɬɚɤɚ ɱɟ ɫɛɨɪɴɬ ɨɬ ɞɜɟɬɟ ɱɢɫɥɚ ɧɚ ɜɫɹɤɚ ɩɪɚɜɚ ɥɢɧɢɹ ɞɚ ɟ ɟɞɢɧ ɢ ɫɴɳ.
ɇɹɤɨɢ ɨɬ ɬɹɯ ɜɟɱɟ ɫɚ ɩɨɫɬɚɜɟɧɢ. Ʉɨɟ ɱɢɫɥɨ ɫɬɨɢ ɜ ɬɴɦɧɨɬɨ ɤɪɴɝɱɟ?
ɚ) 12 ɛ) 9 ɜ) 7 ɝ) 5
12. Ʉɨɥɤɨ ɹɣɰɚ ɬɪɹɛɜɚ ɞɚ ɢɦɚ ɧɚ ɦɹɫɬɨɬɨ ɧɚ ɜɴɩɪɨɫɢɬɟɥɧɢɹ ɡɧɚɤ?
ɚ) 16 ɛ) 15 ɜ) 11 ɝ) 10
13. ȼɢɥɢ ɢ ȼɟɧɰɢ ɡɚɩɨɱɧɚɥɢ ɞɚ ɨɰɜɟɬɹɜɚɬ ɪɟɞɢɱɤɚ ɨɬ ɜɟɥɢɤɞɟɧɫɤɢ ɡɚɣɱɟɬɚ,
ɟɞɧɨɜɪɟɦɟɧɧɨ ɨɬ ɞɜɚɬɚ ú ɤɪɚɹ. ȼɢɥɢ ɨɰɜɟɬɢɥɚ 6 ɡɚɣɱɟɬɚ, ɤɨɢɬɨ ɫɚ ɫ 5 ɩɨ-ɦɚɥɤɨ
ɨɬ ɨɰɜɟɬɟɧɢɬɟ ɨɬ ȼɟɧɰɢ. Ɉɫɬɚɧɚɥɢ ɞɜɟ ɧɟɨɰɜɟɬɟɧɢ ɡɚɣɱɟɬɚ. Ʉɨɥɤɨ ɫɚ ɜɫɢɱɤɢ
ɡɚɣɱɟɬɚ?
ɚ) 20 ɛ) 19 ɜ) 17 ɝ) 16
14. ȼɚɧɹ ɩɨɞɪɟɞɢɥɚ ɩɨ ɝɨɥɟɦɢɧɚ 5 ɩɪɴɱɢɰɢ, ɬɚɤɚ ɱɟ ɜɫɹɤɚ ɫɥɟɞɜɚɳɚ ɟ ɫ 2 ɫɦ
ɩɨ-ɞɴɥɝɚ. ɂɡɦɟɪɢɥɚ ɧɚɣ-ɞɴɥɝɚɬɚ, ɬɹ ɛɢɥɚ - 9 ɫɦ. Ʉɚɤɜɚ ɟ ɞɴɥɠɢɧɚɬɚ ɧɚ ɬɪɟɬɚɬɚ
ɩɪɴɱɢɰɚ?
ɚ) 13 ɫɦ ɛ) 11 ɫɦ ɜ) 7 ɫɦ ɝ) 5 ɫɦ
15. Ʉɜɚɞɪɚɬɴɬ ɟ ɦɚɝɢɱɟɫɤɢ
(ɫɛɨɪɴɬ ɩɨ ɪɟɞɨɜɟ, ɤɨɥɨɧɢ ɢ ɞɢɚɝɨɧɚɥɢ ɟ eɞɢɧ ɢ ɫɴɳ).
Ʉɨɥɤɨ ɟ ɫɭɦɚɬɚ ɧɚ ɥɢɩɫɜɚɳɢɬɟ ɱɢɫɥɚ?
ɚ) 19 ɛ) 17 ɜ) 16 ɝ) 15
?
8 4
9
6 2
m
ath-b
5
ɩɨɱɧɚɥɢ ɞɚ ɨɰɜɟɧɚɥɢ ɞɚ ɨ
ɜɚɬɚ úú ɤɪɚɹɤɪɚɹ. ȼɢɥ
ɬ ȼɟɧɰɢɟɧɰɢ. ɈɫɬɚɧɚɈɫɬ
ɛ) 1
om
ɩɪɨɫɢɬɟɥɧɢɹ ɡɧɢɬɟɥɧɢɹ