1.Efectuati:
[(72 : 9 + 35 : 5) : 3] : 5 × 2 =
(14 × 5 + 30) : 10 + 396 : 2 – [25 × (44 – 8 × 5)] =
64 : 2 + [576 : 6 – (42 × 2 – 16 × 3 + 117 : 3)] =
[(2 × 3 + 3) : 9 + 4] × 5 – [6 × (7 + 8) : 9] =
150 – 600 : 4 + [72 : 2 – 4 × (20 – 11)] =
12 : 3 – 1 + 25 : 5 + 40 : 10 =
(3 × 7 + 42 : 2 – 42 + 5) : 5 =
38 × 25 + 104 × 21 + (64 × 96 – 64 × 86) : 4 =
2. Calculati produsul numarului a × b stiind ca:
a = 2 + 15 × 4 : (120 – 5 × 22) + 13 × 7 =
b = (60 – 53) × 43 × (16 + 34 : 2 – 5 × 6) : 3 – 301 =
3. Completati schemele urmatoare:
4. Aflati suma a + b + c stiind ca:
a = 72 + 2 × (652 : 2 – 26) + [12 × 3 × 5 + (24 × 3 + 72) × 0]
b = 38 × 16 + [(12 × 5 + 8 × 5) : 100 + 3] – (3 + 27) : 15
c = 546 + 304 – (560 : 7 × 3 + 10 × 27)
5. Prima atestare documentara a unui biciclete functionale este cea a baronului ______.
Asezand rezultatele in ordine crescatoare veti afla numele baronului inventator:
I. 3 × (676 : 13 – 18 : 2 × 3) – [819 : 9 – (902 – 36 × 25) × 13] + 60 × 2 =
R. (114 – 63 : 9) × 2 – [80 + (247 × 4 – 801 : 9) – 39 × 23] : 2 – 105 : 15 × 9 =
D. 197 + [(38 × 5 + 76 × 15) : 5 + 343] : 3 – 300 =
A. 224 : 8 – 8 + [(476 : 2 + 532 : 14) : 3] × 5 – 40 × 9 =
S. 504 : 9 + [30 × 5 – (67 + 33) : 5] – 640 : 16 – 2 × 5 =
6. Mandru de inventia sa, inventatorul bicicletei a brevetat ,,masinaria” in anul ____
(rezolvati exercitiul de mai jos si veti afla!)
160 × 8 + [(376 × 2 + 25 × 4) : 2 – 190] + (3 × 100 + 2) = ____
7. Bicicleta cu pedale a fost inventata in anul ____ (rezolvati si veti afla!)
134 × 25 + [3 × (12 × 13 – 18 × 2) + 256 : 4] – 1 909 =
Stiati ca …
….bicicleta inventata de Drais era fara pedale? Ea putea fi pusa in miscare cu ajutorul picioarelor.
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1.
[(72 : 9 + 35 : 5) : 3] : 5 × 2 =
[(8 + 7) : 3] : 5 × 2 =
(15 : 3) : 5 × 2 =
5 : 5 × 2 =
1 × 2 = 2
(14 × 5 + 30) : 10 + 396 : 2 – [25 × (44 – 8 × 5)] =
(70 + 30) : 10 + 198 – [25 × (44 – 40)] =
100 : 10 + 198 – (25 × 4) =
10 + 198 – 100 =
208 – 100 = 108
64 : 2 + [576 : 6 – (42 × 2 – 16 × 3 + 117 : 3)] =
32 + [96 – (84 – 48 + 39)] =
32 + [96 – (36 + 39)] =
32 + (96 – 75) =
32 + 21 = 53
[(2 × 3 + 3) : 9 + 4] × 5 – [6 × (7 + 8) : 9] =
[(6 + 3) : 9 + 4] × 5 – (6 × 15 : 9) =
(9 : 9 + 4) × 5 – 90 : 9 =
(1 + 4) × 5 – 10 =
5 × 5 – 10 =
25 – 10 = 15
150 – 600 : 4 + [72 : 2 – 4 × (20 – 11)] =
150 – 150 + (36 – 4 × 9) =
0 + (36 – 36) =
0 + 0 = 0
12 : 3 – 1 + 25 : 5 + 40 : 10 =
4 – 1 + 5 + 4 =
3 + 9 = 12
(3 × 7 + 42 : 2 – 42 + 5) : 5 =
(21 + 21 – 42 + 5) : 5 =
(42 – 42 + 5) : 5 =
5 : 5 = 1
38 × 25 + 104 × 21 + (64 × 96 – 64 × 86) : 4 =
950 + 2 184 + (6 144 – 5 504) : 4 = 950 + 2 184 + 640 : 4 =
3 134 + 160 = 3 294
2.
a = 2 + 15 × 4 : (120 – 5 × 22) + 13 × 7 =
a = 2 + 15 × 4 : (120 – 110) + 91 =
a = 2 + 60 : 10 + 91
a = 2 + 6 + 91 = 99
b = (60 – 53) × 43 × (16 + 34 : 2 – 5 × 6) : 3 – 301 =
b = 7 × 42 × (16 + 17 – 30) : 3 – 301 =
b = 301 × 3 : 3 – 301 =
b = 301 – 301 = 0
Produsul este a × b = 99 × 0 = 0
3.
4.
a = 72 + 2 × (652 : 2 – 26) + [12 × 3 × 5 + (24 × 3 + 72) × 0]
a = 72 + 2 × (326 – 26) + (180 + 0)
a = 72 + 2 × 300 + 180
a = 72 + 600 + 180
a = 852
b = 38 × 16 + [(12 × 5 + 8 × 5) : 100 + 3] – (3 + 27) : 15
b = 608 + [(60 + 40) : 100 + 3] – 30 : 15
b = 608 + (100 : 100 + 3) – 2
b = 608 + (1 + 3) – 2
b = 608 + 4 – 2
b = 610
c = 546 + 304 – (560 : 7 × 3 + 10 × 27)
c = 850 – (80 × 3 + 270)
c = 850 – (240 + 270)
c = 850 – 510
c = 340
Suma a + b + c = 852 + 610 + 340 = 1 802
5. Raspuns: DRAIS
D. 197 + [(38 × 5 + 76 × 15) : 5 + 343] : 3 – 300 =
197 + [(190 + 1140) : 5 + 343] : 3 – 300 =
197 + (1 330 : 5 + 343) : 3 – 300 =
197 + (266 + 343) : 3 – 300 =
197 + 609 : 3 – 300 =
197 + 203 – 300 =
400 – 300 = 100
R. (114 – 63 : 9) × 2 – [80 + (247 × 4 – 801 : 9) – 39 × 23] : 2 – 105 : 15 × 9 =
(114 – 7) × 2 – [80 + (988 – 89) – 897] : 2 – 7 × 9 =
107 × 2 – (80 + 899 – 897) : 2 – 63 =
214 – (979 – 897) : 2 – 63 =
214 – 82 : 2 – 63 =
173 – 63 = 110
A. 224 : 8 – 8 + [(476 : 2 + 532 : 14) : 3] × 5 – 40 × 9 =
28 – 8 + [(238 + 38) : 3] × 5 – 360 =
20 + (276 : 3) × 5 – 360 =
20 + 92 ×5 – 360 =
20 + 460 – 360 =
480 – 360 = 120
I. 3 × (676 : 13 – 18 : 2 × 3) – [819 : 9 – (902 – 36 × 25) × 13] + 60 × 2 =
3 × (52 – 9 × 3) – [91 – (902 – 900) × 13] + 120 =
3 × (52 – 27) – (91 – 2 × 13) + 120 =
3 × 25 – (91 – 26) + 120 =
75 – 65 + 120 =
10 + 120 = 130
S. 504 : 9 + [30 × 5 – (67 + 33) : 5] – 640 : 16 – 2 × 5 =
56 + (150 – 100 : 5) – 40 – 10 =
56 + (150 – 20) – 40 – 10 =
56 + 130 – 40 – 10 =
186 – 40 – 10 =
146 – 10 = 136
Numerele asezate in ordine crescatoare sunt 100, 110, 120, 130, 136.
Literele corespunzatoare numerelor sunt in ordine: D, R, A, I, S.
6. Raspuns: 1 818
160 × 8 + [(376 × 2 + 25 × 4) : 2 – 190] + (3 × 100 + 2) =
1 280 + [(752 + 100) : 2 – 190] + 302 =
1 280 + (852 : 2 – 190) + 302
1 280 + (426 – 180) + 302
1 280 + 236 + 302
1 516 + 302 = 1 818
7. Raspuns: 1 865
134 × 25 + [3 × (12 × 13 – 18 × 2) + 256 : 4] – 1 909 =
3 350 + [3 × (156 – 36) + 64] – 1 909 =
3 350 + (3 × 120 + 64) – 1 909 =
3 350 + (360 + 64) – 1 909 =
3 350 + 424 – 1 909 =
3 774 – 1 909 = 1 865
Fisa de lucru prezentata este extrasa din lucrarea Matematica distractiva pentru clasele III-IV
Comandati cartea de AICI pentru juniorul dvs. din clasa pregatitoare.