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MATEMÁTICAS SECUNDARIA

Deleted user 51 questions Updated 17 Apr 2019

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Questions in this quiz (51)

1N Ú M E R O S :
Nº * * ROM. * LETRA
==== . ===== . ==========
9 * * * [blank_start]IX[blank_end] * * * [blank_start]nueve[blank_end]
15 * * [blank_start]XV[blank_end] * * * [blank_start]quince[blank_end]
23 * * [blank_start]XXIII[blank_end] * * [blank_start]veintitrés[blank_end]
46 * * [blank_start]XLVI[blank_end] * * [blank_start]cuarenta y seis[blank_end]
94 * * [blank_start]XCIV[blank_end] * * [blank_start]noventa y cuatro[blank_end]
160 * [blank_start]CLX[blank_end] * * * [blank_start]ciento sesenta[blank_end]
450 * [blank_start]CDL[blank_end] * * * [blank_start]cuatrocientos cincuenta[blank_end]
509 * [blank_start]DIX[blank_end] * * * [blank_start]quinientos nueve[blank_end]
904 * [blank_start]CMIV[blank_end] * * [blank_start]novecientos cuatro[blank_end]
1. AIX
2. Bnueve
3. CXV
4. Dquince
5. EXXIII
6. Fveintitrés
7. GXLVI
8. Hcuarenta y seis
9. IXCIV
10. Jnoventa y cuatro
11. KCLX
12. Lciento sesenta
13. MCDL
14. Ncuatrocientos cincuenta
15. ODIX
16. Pquinientos nueve
17. QCMIV
18. Rnovecientos cuatro
2SUMA o [blank_start]ADICIÓN[blank_end]: . . . . . . . . . . . . . . MULTIPLICACIÓN: . . . . . . . . . . POTENCIA:
Operandos: [blank_start]SUMANDOS[blank_end] . . . . . . . . Operandos: [blank_start]FACTORES[blank_end] . . . . . .Operando: [blank_start]BASE[blank_end]
Resultado: SUMA o [blank_start]TOTAL[blank_end] . . . . . . Resultado: [blank_start]PRODUCTO[blank_end] . . . . . . Repetición: [blank_start]EXPONENTE[blank_end]
RESTA o [blank_start]SUSTRACCIÓN[blank_end]: . . . . . . . . DIVISIÓN: . . . . . . . . . . . . . . . . . . RAÍZ [blank_start]CUADRADA[blank_end]:
Operando 1º: [blank_start]MINUENDO[blank_end] . . . . . . Operando 1º: [blank_start]DIVIDENDO[blank_end] . . . . Símbolo: [blank_start]RADICAL[blank_end]
Operando 2º: [blank_start]SUSTRAENDO[blank_end] . . . . Operando 2º: [blank_start]DIVISOR[blank_end] . . . . . . . Operando: [blank_start]RADICANDO[blank_end]
Resultado: [blank_start]DIFERENCIA[blank_end] . . . . . . . . Resultado: [blank_start]COCIENTE[blank_end] . . . . . . . . Resultado: [blank_start]RAÍZ[blank_end]
. . . . . . . . . . . . . . . . . . . . . . . . . . . . Sobrante: [blank_start]RESTO[blank_end]
1. AADICIÓN
2. BSUMANDOS
3. CTOTAL
4. DSUSTRACCIÓN
5. EMINUENDO
6. FSUSTRAENDO
7. GDIFERENCIA
8. HFACTORES
9. IPRODUCTO
10. JDIVIDENDO
11. KDIVISOR
12. LCOCIENTE
13. MRESTO
14. NBASE
15. OEXPONENTE
16. PCUADRADA
17. QRADICAL
18. RRADICANDO
19. SRAÍZ
3DIVISIÓN con sus TÉRMINOS...
. =[blank_start]Dividendo[blank_end]
1. 3 5 9 . . . . . . |_5______=[blank_start]Divisor[blank_end]
. .[blank_start]3[blank_end].[blank_start]5[blank_end] . . . . . . . [blank_start]2[blank_end].[blank_start]7[blank_end].[blank_start]1[blank_end] . =[blank_start]Cociente[blank_end]
. . . [blank_start]0[blank_end].[blank_start]9[blank_end]
. . . . . [blank_start]4[blank_end] . . =[blank_start]Resto[blank_end]
1. ADividendo
2. BDivisor
3. CCociente
4. DResto
5. E3
6. F5
7. G2
8. H7
9. I1
10. J0
11. K9
12. L4
4CÁLCULOS con [ 3, 5 y 7] ...
=========================
1 = 5 + [blank_start]3[blank_end] – [blank_start]7[blank_end] . . . . 1 = [blank_start]3[blank_end] – ([blank_start]7[blank_end] – 5)
1 = 5 – ([blank_start]7[blank_end] – [blank_start]3[blank_end]) . . . 2 = ([blank_start]7[blank_end] + 3) / [blank_start]5[blank_end]
4 = ([blank_start]7[blank_end] + 5) / [blank_start]3[blank_end] . . . 5 = 7 – ([blank_start]5[blank_end] – [blank_start]3[blank_end])
5 = 3 + [blank_start]7[blank_end] – [blank_start]5[blank_end] . . . . 6 = [blank_start]3[blank_end] x ([blank_start]7[blank_end] – 5)
8 = 3 x [blank_start]5[blank_end] – [blank_start]7[blank_end] . . . . 9 = [blank_start]5[blank_end] + 7 – [blank_start]3[blank_end]
14 = ([blank_start]5[blank_end] – 3) x [blank_start]7[blank_end] . . 15 = 3 + [blank_start]5[blank_end] + 7
20 = ([blank_start]7[blank_end] – 3) x [blank_start]5[blank_end] . . 22 = 3 x [blank_start]5[blank_end] + [blank_start]7[blank_end]
26 = 3 x [blank_start]7[blank_end] + [blank_start]5[blank_end] . . . 32 = [blank_start]7[blank_end] x 5 – [blank_start]3[blank_end]
36 = (5 + [blank_start]7[blank_end]) x [blank_start]3[blank_end] . . 38 = [blank_start]7[blank_end] x 5 + [blank_start]3[blank_end]
50 = ([blank_start]3[blank_end] + 7) x [blank_start]5[blank_end] . . 56 = (5 + [blank_start]3[blank_end]) x [blank_start]7[blank_end]
56 = [blank_start]7[blank_end] x ([blank_start]5[blank_end] + 3) . . 105 = 3 x 5 x [blank_start]7[blank_end]
1. A3
2. B7
3. C7
4. D3
5. E7
6. F3
7. G7
8. H5
9. I7
10. J3
11. K5
12. L3
13. M7
14. N5
15. O7
16. P3
17. Q5
18. R7
19. S3
20. T5
21. U5
22. V7
23. W5
24. X7
25. Y5
26. Z5
27. AA7
28. AB7
29. AC5
30. AD7
31. AE3
32. AF7
33. AG3
34. AH7
35. AI3
36. AJ3
37. AK5
38. AL3
39. AM7
40. AN7
41. AO5
42. AP7
5CÁLCULOS con [1, 3, 5 y 7]
======================
[blank_start](7+3)/5-1[blank_end]= 1 * * * [blank_start](5x3-1)/7[blank_end]= 2
[blank_start](7+5)/3-1[blank_end]= 3 * * * [blank_start](7x3-1)/5[blank_end]= 4
[blank_start](7-5)x3-1[blank_end]= 5 * * * [blank_start](7+5)/(3-1)[blank_end]= 6
[blank_start](7-5)x3+1[blank_end]= 7 * * * [blank_start]7+5-1-3[blank_end]= 8
[blank_start](7+1-5)x3[blank_end]= 9 * * *[blank_start]7+5-3+1[blank_end]= 10
[blank_start](5+1)x3-7[blank_end]= 11 * * [blank_start](7x5+1)/3[blank_end]= 12
[blank_start]5x(3+1)-7[blank_end]= 13 * * [blank_start](5+1)/3x7[blank_end]= 14
[blank_start]3x7-1-5[blank_end]= 15 * * * [blank_start]3+7+1+5[blank_end]= 16
1. A(7+3)/5-1
2. B(7+5)/3-1
3. C(7-5)x3-1
4. D(7-5)x3+1
5. E(7+1-5)x3
6. F(5+1)x3-7
7. G5x(3+1)-7
8. H3x7-1-5
9. I(5x3-1)/7
10. J(7x3-1)/5
11. K(7+5)/(3-1)
12. L7+5-1-3
13. M7+5-3+1
14. N(7x5+1)/3
15. O(5+1)/3x7
16. P3+7+1+5
6EXPRESIONES ARITMÉTICAS...
========================
Doble de la diferencia de 7 y 3 => 2x([blank_start]7-3[blank_end]) = [blank_start]8[blank_end]
Mitad de la suma de 3 y 5 => ([blank_start]3+5[blank_end])/2 = [blank_start]4[blank_end]
Doble de 7, menos 5 => [blank_start]2x7[blank_end]-5 = [blank_start]9[blank_end]
Mitad de 8 por 3 => [blank_start]8/2x3[blank_end] = [blank_start]12[blank_end]
Suma de 7 y el doble de 4 => [blank_start]7+2x4[blank_end] = [blank_start]15[blank_end]
Diferencia del doble de 3 y 1 => [blank_start]2x3-1[blank_end] = [blank_start]5[blank_end]
Doble de la suma de 3 y 5 => [blank_start]2x(3+5)[blank_end] = [blank_start]16[blank_end]
Mitad de la diferencia de 7 y 3 => [blank_start](7-3)/2[blank_end] = [blank_start]2[blank_end]
Triple de la mitad de 6 => [blank_start]3x6/2[blank_end] =[blank_start]9[blank_end]
1. A7-3
2. B8
3. C3+5
4. D4
5. E2x7
6. F9
7. G8/2x3
8. H15
9. I5
10. J2x(3+5)
11. K16
12. L(7-3)/2
13. M2
14. N3x6/2
15. O9
16. P2x3-1
17. Q7+2x4
18. R12
7POTENCIAS ...
1. A\(A^n\), n es el...
2. B\(2^3\)=...
3. C\(2^2\)=...
4. D\(10^2\)=...
5. E\(N^2\)=25, N=...
6. F\(N^3\), N elevado al...
7. G\(10^3\)=...
8. H\(N^2\), N elevado al...
9. I\(A^n\), A es la...
8POTENCIAS:
==========
2³·3²·5² / (6·9·10) =
= 2³·3²·5² / (2·[blank_start]3[blank_end]·3·[blank_start]3[blank_end]·2·[blank_start]5[blank_end]) =
= 2³·3²·5² / ([blank_start]2[blank_end]²·[blank_start]3[blank_end]³·[blank_start]5[blank_end]) =
= [blank_start]2[blank_end]·[blank_start]5[blank_end]/[blank_start]3[blank_end] = [blank_start]10[blank_end]/[blank_start]3[blank_end] = [blank_start]3[blank_end],3...
1. A3
2. B3
3. C5
4. D2
5. E3
6. F5
7. G2
8. H5
9. I3
10. J10
11. K3
12. L3
9RAÍZ CUADRADA...
1. A2
2. B2
3. C2
4. D4
5. E4
6. F3
7. G5
8. H2
9. I47
10. J7
11. K7
12. L329
13. M2176
14. N5
15. O329
16. P2
17. Q3
18. R2
19. S0
20. T8
21. U1
22. V54
23. W4
24. X4
25. Y4
26. Z2176
27. AA0
28. AB0
10CÁLCULO MENTAL de 1 a 10 ...
===========================
1 = [blank_start]2³–(3+4)[blank_end] * * * * 2 = [blank_start](5+3)/4[blank_end]
3 = [blank_start]√[5+4][blank_end] * * * * * 4 = [blank_start](10/5)²[blank_end]
5 = [blank_start]3²–4[blank_end] * * * * * * 6 = [blank_start](2²–1)x2[blank_end]
7 = [blank_start](3²+5)/2[blank_end] * * * * 8 = [blank_start]5x3–7[blank_end]
9 = [blank_start]3+√[9x4][blank_end] * 10 = [blank_start]4+2x√[2+7][blank_end]
1. A2³–(3+4)
2. B√[5+4]
3. C3²–4
4. D(3²+5)/2
5. E3+√[9x4]
6. F(5+3)/4
7. G(10/5)²
8. H(2²–1)x2
9. I5x3–7
10. J4+2x√[2+7]

11NÚMEROS DECIMALES...
1. A4 centésimas
2. B90 milésimas
3. C130 milésimas
4. D2 décimas
5. E25 centésimas
6. F310 milésimas
7. G36 centésimas
8. H4 décimas
9. I45 centésimas
10. J510 milésimas
11. K56 centésimas
12. L62 centésimas
13. M67 centésimas
14. N730 milésimas
15. O79 centésimas
16. P84 centésimas
17. Q890 milésimas
18. R930 milésimas
19. S99 centésimas
12FRACCIONES:
Parte COLOREADA de cada DIBUJO ...
1. A5/8
2. B5/6
3. C1/6
4. D1/2
5. E3/8
6. F2/7
7. G1/3
8. H3/10
9. I1/4
10. J4/9
11. K1/2
12. L1/3
13. M5/6
14. N7/10
15. O1/6
16. P2/5
17. Q1/8
18. R3/5
19. S3/4
20. T3/4
13

. . . . . . . . . FRACCIONES . . . . . . . . . . .
2/3 de 21 = [blank_start]14[blank_end] . . . 2/5 de 30 = [blank_start]12[blank_end]
1/2 de 32 = [blank_start]16[blank_end] . . . 5/6 de 24 = [blank_start]20[blank_end]
3/5 de 45 = [blank_start]27[blank_end] . . . 3/7 de 49 = [blank_start]21[blank_end]
1/6 de 42 = [blank_start]7[blank_end] . . . . 1/4 de 60 = [blank_start]15[blank_end]
5/7 de 42 = [blank_start]30[blank_end] . . . 4/5 de 40 = [blank_start]32[blank_end]
3/4 de 100=[blank_start]75[blank_end] . . . 1/3 de 18 = [blank_start]6[blank_end]
1/3 de 27 = [blank_start]9[blank_end] . . . . 2/7 de 28 = [blank_start]8[blank_end]
1. A14
2. B12
3. C16
4. D20
5. E21
6. F27
7. G7
8. H30
9. I75
10. J9
11. K15
12. L32
13. M6
14. N8
14MAYOR (>) o MENOR (<)
1/2 [blank_start]>[blank_end] 2/5 . . . 1/4 [blank_start]<[blank_end] 2/7
2/3 [blank_start]<[blank_end] 3/4 . . . 2/3 [blank_start]>[blank_end] 4/7
3/5 [blank_start]>[blank_end] 4/7 . . . 1/3 [blank_start]<[blank_end] 2/5
2/3 [blank_start]<[blank_end] 5/7 . . . 2/5 [blank_start]<[blank_end] 3/7
1/2 [blank_start]<[blank_end] 4/7 . . . 3/4 [blank_start]>[blank_end] 5/7
2/3 [blank_start]>[blank_end] 3/5 . . . 3/4 [blank_start]<[blank_end] 4/5
1/2 [blank_start]<[blank_end] 3/5 . . . 4/5 [blank_start]>[blank_end] 5/7
1. A>
2. B<
3. C>
4. D<
5. E<
6. F>
7. G<
8. H<
9. I>
10. J<
11. K<
12. L>
13. M<
14. N>
15FRACCIÓN a DECIMAL ...
=====================
3/4 = [blank_start]0,75[blank_end] . . . 3/2 = [blank_start]1,5[blank_end]
1/2 = [blank_start]0,5[blank_end] . . . . 5/2 = [blank_start]2,5[blank_end]
1/4 = [blank_start]0,25[blank_end] . . . 5/4 = [blank_start]1,25[blank_end]
1/5 = [blank_start]0,2[blank_end] . . . . 7/2 = [blank_start]3,5[blank_end]
1/8 = [blank_start]0,125[blank_end] . . 7/4 = [blank_start]1.75[blank_end]
2/5 = [blank_start]0,4[blank_end] . . . . 7/5 = [blank_start]1,4[blank_end]
3/5 = [blank_start]0,6[blank_end] . . . . 8/5 = [blank_start]1,6[blank_end]
3/8 = [blank_start]0,375[blank_end] . . 9/2 = [blank_start]4,5[blank_end]
4/5 = [blank_start]0,8[blank_end] . . . . 9/4 = [blank_start]2,25[blank_end]
5/8 = [blank_start]0,625[blank_end] . . 9/5 = [blank_start]1,8[blank_end]
7/8 = [blank_start]0,875[blank_end] . . 9/8 = [blank_start]1,125[blank_end]
1. A0,125
2. B0,2
3. C0,25
4. D0,375
5. E0,4
6. F0,5
7. G0,6
8. H0,625
9. I0,75
10. J0,8
11. K0,875
12. L1,125
13. M1,25
14. N1,4
15. O1,5
16. P1,6
17. Q1.75
18. R1,8
19. S2,25
20. T2,5
21. U3,5
22. V4,5
16SUMA y RESTA:
=============
\(\frac{2}{3} + \frac{3}{5}\ – \frac{3}{4}\) =
= (2x[blank_start]5x4[blank_end] + 3x[blank_start]3x4[blank_end] – 3x[blank_start]3x5[blank_end]) / (3x[blank_start]5x4[blank_end]) =
= (40+[blank_start]36[blank_end]–[blank_start]45[blank_end]) / [blank_start]60[blank_end] = [blank_start]31/60[blank_end]

MULTIPLICACIÓN y DIVISIÓN:
========================
\(\frac{2}{3}\)x\(\frac{1}{5}\) = 2x1 / [blank_start]3x5[blank_end] = [blank_start]2/15[blank_end]
\(\frac{1}{3}:\frac{3}{5}\) = 1/3 x [blank_start]5/3[blank_end] = 1x5 / [blank_start]3x3[blank_end] = [blank_start]5/9[blank_end]
1. A5x4
2. B3x4
3. C3x5
4. D5x4
5. E36
6. F45
7. G60
8. H31/60
9. I3x5
10. J2/15
11. K5/3
12. L3x3
13. M5/9
17a * * b * * * a+b * * * a–b * * * a·b * * * a:b
== * === * ===== * ====== * ===== * ======
-2 * +5 * * [blank_start]+3[blank_end] * * * * [blank_start]-7[blank_end] * * * [blank_start]-10[blank_end] * * * [blank_start]-0,4[blank_end]
+3 * -2 * * [blank_start]+1[blank_end] * * * [blank_start]+5[blank_end] * * * * [blank_start]-6[blank_end] * * * [blank_start]-1,5[blank_end]
+5 * +4 * * [blank_start]+9[blank_end] * * * [blank_start]+1[blank_end] * * * [blank_start]+20[blank_end] * * [blank_start]+1,25[blank_end]
-1 * -3 * * * [blank_start]-4[blank_end] * * * [blank_start]+2[blank_end] * * * [blank_start]+3[blank_end] * * * [blank_start]+0,3[blank_end]3
1. A+3
2. B-7
3. C-10
4. D-0,4
5. E+1
6. F+5
7. G-6
8. H-1,5
9. I+9
10. J+1
11. K+20
12. L+1,25
13. M-4
14. N+2
15. O+3
16. P+0,3
18CÁLCULOS...
==========
6,7 x \(10^{-2}\) = [blank_start]0,067[blank_end] . . . . 2\(\frac{3}{4}\) = [blank_start]11/4[blank_end]
\(\pi\) = [blank_start]3,14[blank_end] . . . . . 3\(\frac{1}{2}\) = [blank_start]7/2[blank_end]
9 – 5 = [blank_start]4[blank_end] . . . . . . \(\sqrt {16}\) = [blank_start]4[blank_end]
\(\sqrt {36}\) = [blank_start]6[blank_end] . . . . . 3 x 2 = [blank_start]6[blank_end]
\(\sqrt {49}\) = [blank_start]7[blank_end] . . . . . . \(2^3\) = [blank_start]8[blank_end]
\(3^2\) = [blank_start]9[blank_end] . . . . . . . \(\sqrt {81}\) = [blank_start]9[blank_end]
\(\frac{3}{5}\) de 20 = [blank_start]12[blank_end] . . . . . 7 + 5 = [blank_start]12[blank_end]
\(\frac{2}{3}\) de 21 = [blank_start]14[blank_end] . . . \(\frac{1}{2}\) de 28 = [blank_start]14[blank_end]
\(5^2\) = [blank_start]25[blank_end] . . . . . \(3^3\) = [blank_start]27[blank_end]
\(2^5\) = [blank_start]32[blank_end] . . . . . \(\frac{3}{4}\) de 60 = [blank_start]45[blank_end]
\(3^4\) = [blank_start]81[blank_end] . . . . \(5^3\) = [blank_start]125[blank_end]
\(10^3\) = [blank_start]1.000[blank_end] . . . 2,07 x \(10^3\) = [blank_start]2.070[blank_end]
\(\overline{X I V}\) = [blank_start]14.000[blank_end]
1. A0,067
2. B0.67
3. C11/4
4. D10/4
5. E3,14
6. F2,72
7. G7/2
8. H5/2
9. I4
10. J5
11. K4
12. L8
13. M6
14. N9
15. O6
16. P5
17. Q7
18. R9
19. S8
20. T6
21. U9
22. V6
23. W9
24. X41
25. Y12
26. Z15
27. AA12
28. AB15
29. AC14
30. AD15
31. AE14
32. AF7
33. AG25
34. AH10
35. AI27
36. AJ9
37. AK32
38. AL10
39. AM45
40. AN15
41. AO81
42. AP12
43. AQ125
44. AR15
45. AS1.000
46. AT30
47. AU2.070
48. AV207
49. AW14.000
50. AX140
19Descomposición FACTORIAL ...
===========================
4. 6 2 0 | [blank_start]2[blank_end] * * * * * 9. 4 5 0 | [blank_start]2[blank_end]
2. 3 1 0 | [blank_start]2[blank_end] * * * * * 4. 7 2 5 | [blank_start]3[blank_end]
1. 1 5 5 | [blank_start]3[blank_end] * * * * * 1. 5 7 5 | [blank_start]3[blank_end]
* 3 8 5 | [blank_start]5[blank_end] * * * * * * 5 2 5 | [blank_start]3[blank_end]
* * 7 7 | [blank_start]7[blank_end] * * * * * * 1 7 5 | [blank_start]5[blank_end]
* * 1 1 | [blank_start]11[blank_end] * * * * * * 3 5 | [blank_start]5[blank_end]
* * * 1 | * * * * * * * * * 7 | [blank_start]7[blank_end]
* [blank_start]2[blank_end]² x [blank_start]3[blank_end] x [blank_start]5[blank_end] x [blank_start]7[blank_end] x [blank_start]11[blank_end] * * * 1 |
* * * * * * * * * * [blank_start]2[blank_end] x [blank_start]3[blank_end]³ x [blank_start]5[blank_end]² x [blank_start]7[blank_end]
1. A2
2. B2
3. C3
4. D5
5. E7
6. F11
7. G2
8. H3
9. I3
10. J3
11. K5
12. L5
13. M7
14. N3
15. O5
16. P7
17. Q2
18. R3
19. S5
20. T7
21. U2
22. V11
20Descomposición FACTORIAL ...
===========================
3. 5 2 8 | [blank_start]2[blank_end] * * * * * 9. 4 5 0 | [blank_start]2[blank_end]
* 1. [blank_start]764[blank_end] | [blank_start]2[blank_end] * * * * * 4. [blank_start]725[blank_end] | [blank_start]3[blank_end]
* * [blank_start]882[blank_end] | [blank_start]2[blank_end] * * * * * *1. [blank_start]575[blank_end] | [blank_start]3[blank_end]
* * [blank_start]441[blank_end] | [blank_start]3[blank_end] * * * * * * * [blank_start]525[blank_end] | [blank_start]3[blank_end]
* * [blank_start]147[blank_end] | [blank_start]3[blank_end] * * * * * * * [blank_start]175[blank_end] | [blank_start]5[blank_end]
* * *[blank_start]49[blank_end] | [blank_start]7[blank_end] * * * * * * * *[blank_start]35[blank_end] | [blank_start]5[blank_end]
* * * *[blank_start]7[blank_end] | [blank_start]7[blank_end] * * * * * * * * [blank_start]7[blank_end] | [blank_start]7[blank_end]
3.528 = [blank_start]2[blank_end]³ x [blank_start]3[blank_end]² x [blank_start]7[blank_end]²
9.450 = [blank_start]2[blank_end] x [blank_start]3[blank_end]³ x [blank_start]5[blank_end]² x [blank_start]7[blank_end]
1. A2
2. B2
3. C764
4. D2
5. E725
6. F3
7. G882
8. H2
9. I575
10. J3
11. K441
12. L3
13. M525
14. N3
15. O147
16. P3
17. Q175
18. R5
19. S49
20. T7
21. U35
22. V5
23. W7
24. X7
25. Y7
26. Z7
27. AA2
28. AB3
29. AC7
30. AD2
31. AE3
32. AF5
33. AG7
21DESCOMPOSICIÓN en
FACTORES PRIMOS...
==================
90 = [blank_start]2 · 3² · 5[blank_end]
100 = [blank_start]2² · 5²[blank_end]
120 = [blank_start]2³ · 3 · 5[blank_end]
150 = [blank_start]2 · 3 · 5²[blank_end]
180 = [blank_start]2² · 3² · 5[blank_end]
200 = [blank_start]2³ · 5²[blank_end]
225 = [blank_start]3² · 5²[blank_end]
250 = [blank_start]2 · 5³[blank_end]
1. A2 · 3² · 5
2. B2² · 5²
3. C2³ · 3 · 5
4. D2 · 3 · 5²
5. E2² · 3² · 5
6. F2³ · 5²
7. G3² · 5²
8. H2 · 5³
22DESCOMPOSICIÓN en FACTORES PRIMOS.
… … … … [^=elevado a] ...
==================================
30 = 2^[blank_start]1[blank_end] x 3^[blank_start]1[blank_end] x 5^[blank_start]1[blank_end] x 7^[blank_start]0[blank_end]
32 = 2^[blank_start]5[blank_end] x 3^[blank_start]0[blank_end] x 5^[blank_start]0[blank_end] x 7^[blank_start]0[blank_end]
35 = 2^[blank_start]0[blank_end] x 3^[blank_start]0[blank_end] x 5^[blank_start]1[blank_end] x 7^[blank_start]1[blank_end]
40 = 2^[blank_start]3[blank_end] x 3^[blank_start]0[blank_end] x 5^[blank_start]1[blank_end] x 7^[blank_start]0[blank_end]
42 = 2^[blank_start]1[blank_end] x 3^[blank_start]1[blank_end] x 5^[blank_start]0[blank_end] x 7^[blank_start]1[blank_end]
45 = 2^[blank_start]0[blank_end] x 3^[blank_start]2[blank_end] x 5^[blank_start]1[blank_end] x 7^[blank_start]0[blank_end]
50 = 2^[blank_start]1[blank_end] x 3^[blank_start]0[blank_end] x 5^[blank_start]2[blank_end] x 7^[blank_start]0[blank_end]
54 = 2^[blank_start]1[blank_end] x 3^[blank_start]3[blank_end] x 5^[blank_start]0[blank_end] x 7^[blank_start]0[blank_end]
56 = 2^[blank_start]3[blank_end] x 3^[blank_start]0[blank_end] x 5^[blank_start]0[blank_end] x 7^[blank_start]1[blank_end]
60 = 2^[blank_start]2[blank_end] x 3^[blank_start]1[blank_end] x 5^[blank_start]1[blank_end] x 7^[blank_start]0[blank_end]
1. A1
2. B1
3. C1
4. D0
5. E5
6. F0
7. G0
8. H0
9. I0
10. J0
11. K1
12. L1
13. M3
14. N0
15. O1
16. P0
17. Q1
18. R1
19. S0
20. T1
21. U0
22. V2
23. W1
24. X0
25. Y1
26. Z0
27. AA2
28. AB0
29. AC1
30. AD3
31. AE0
32. AF0
33. AG3
34. AH0
35. AI0
36. AJ1
37. AK2
38. AL1
39. AM1
40. AN0
23SISTEMA MÉTRICO DECIMAL...
MEDIDA . . . . . EQUIV. . UNIDAD . . . ABREV.
========== ====== ========== =====
2,074 metros = . 207,4 . [blank_start]centímetros[blank_end] . ([blank_start]cm[blank_end])
2.074 metros = . 2,074 . [blank_start]kilómetros[blank_end] . . ([blank_start]km[blank_end])
20,74 metros = . 2,074 . [blank_start]decámetros[blank_end] . ([blank_start]dam[blank_end])
2,074 metros = . 2.074 . [blank_start]milímetros[blank_end] . . ([blank_start]mm[blank_end])
207,4 metros = . 2,074 . [blank_start]hectómetros[blank_end] . ([blank_start]hm[blank_end])
6.193 litros = . . .61,93 . [blank_start]hectolitros[blank_end] . . . ([blank_start]hl[blank_end])
61,93 litros = . . .619,3 . [blank_start]decilitros[blank_end] . . . . ([blank_start]dl[blank_end])
61,93 litros = . . .6.193 . [blank_start]centilitros[blank_end] . . . .([blank_start]cl[blank_end])
528,7 gramos = 52,87 . [blank_start]decagramos[blank_end] . ([blank_start]dag[blank_end])
52,87 kilos = . . .52.870 . [blank_start]gramos[blank_end] . . . . ([blank_start]g[blank_end])
528,7 kilos = . . 5.287 . [blank_start]hectogramos[blank_end] . ([blank_start]hg[blank_end])
5.287 kilos = . . 5,287 . [blank_start]toneladas[blank_end]. . . . ([blank_start]t[blank_end])
1. Acentímetros
2. Bcm
3. Ckilómetros
4. Dkm
5. Edecámetros
6. Fdam
7. Gmilímetros
8. Hmm
9. Ihectómetros
10. Jhm
11. Khectolitros
12. Lhl
13. Mdecilitros
14. Ndl
15. Ocentilitros
16. Pcl
17. Qdecagramos
18. Rdag
19. Sgramos
20. Tg
21. Uhectogramos
22. Vhg
23. Wtoneladas
24. Xt
24Las 2 y cuarto de la noche = . . . . . . . . . [blank_start]02:15[blank_end]
Las 4 y media de la noche = . . . . . . . . . [blank_start]04:30[blank_end]
Las 7 menos cuarto de la noche = . . . . [blank_start]06:45[blank_end]
Las 9 y diez de la mañana = . . . . . . . . . .[blank_start]09:10[blank_end]
Las 11 menos veinte de la mañana = . [blank_start]10:40[blank_end]
Las 12 y cinco de la mañana = . . . . . . . [blank_start]12:05[blank_end]
Las 2 y media de la tarde = . . . . . . . . . .[blank_start]14:30[blank_end]
Las 5 menos diez de la tarde = . . . . . . [blank_start]16:50[blank_end]
Las 6 y cinco de la tarde = . . . . . . . . . . [blank_start]18:05[blank_end]
Las 7 y cuarto de la tarde = . . . . . . . . . [blank_start]19:15[blank_end]
Las 11 menos cuarto de la noche = . . [blank_start]22:45[blank_end]
Las 12 y veinte de la noche = . . . . . . . .[blank_start]00:20[blank_end]
1. A02:15
2. B04:30
3. C06:45
4. D09:10
5. E10:40
6. F12:05
7. G14:30
8. H16:50
9. I18:05
10. J19:15
11. K22:45
12. L00:20
25RECTAS y ÁNGULOS...
1. AR. PARALELAS
2. BSEGMENTO
3. CR. PERPENDICULARES
4. DL. RECTA
5. EÁ. OBTUSO
6. FÁ. AGUDO
7. GÁ. RECTO
8. HÁ. LLANO
9. IR. SECANTES
10. JMEDIATRIZ
11. KBISECTRIZ
12. LÁ. ADYACENTES
13. MSEMIRRECTA
14. NL. CURVA
26CIRCUNFERENCIA y CÍRCULO:
Elementos...
1. ACENTRO
2. BRADIO
3. CSEMICIRCUNFERENCIA
4. DARCO
5. ECUERDA
6. FSEMICÍRCULO
7. GSEGMENTO C.
8. HSECTOR C.
9. ICORONA C.
10. JR. EXTERIOR
11. KR. TANGENTE
12. LR. SECANTE
13. MCONCÉNTRICA
14. NC. SECANTE
15. OC. EXTERIOR
16. PTANGENTE EXTERIOR
17. QTANGENTE INTERIOR
18. RC. INTERIOR
19. SFIRMA
27FIGURAS GEOMÉTRICAS...
1. AHexágono
2. BSector
3. CTrapezoide
4. DCírculo
5. ETrapecio
6. FTriángulo
7. GPentágono
8. HRombo
9. IRectángulo
10. JCuadrado
11. KElipse
12. LRomboide
28ÁREAS de FIGURAS PLANAS
* Fórmula de Herón ...
1. A\(\frac{b · h}{2}\)
2. B\(\sqrt{p·(p-a)·(p-b)·(p-c)}\)
3. Ca · a = \(a^2\)
4. Db · h
5. E\(\frac{D · d}{2}\)
6. Fh · b
7. G\(\frac{B + b}{2}\) · h
8. H\(\frac{L(6) · ap}{2}\)
9. I\(\pi\) · \(r^2\)
29TEOREMA de PITÁGORAS ...
=========================
Aplicación a triángulos [blank_start]rectángulos[blank_end].
La suma de los tres ángulos de un triángulo es [blank_start]180[blank_end]º.
Los ángulos agudos son [blank_start]complementarios[blank_end] (suman 90º).
Lados del ángulo recto: [blank_start]catetos[blank_end].
Lado opuesto al ángulo recto: [blank_start]hipotenusa[blank_end]
ENUNCIADO:
"La suma de los cuadrados de los [blank_start]catetos[blank_end]
es igual al cuadrado de la [blank_start]hipotenusa[blank_end]".
TEOREMA del CATETO:
"El cuadrado de cada [blank_start]cateto[blank_end] es igual
al producto de su proyección por la [blank_start]hipotenusa[blank_end]".
TEOREMA de la ALTURA:
"El cuadrado de la [blank_start]altura[blank_end] es igual
al producto de las proyecciones de los [blank_start]catetos[blank_end]".
1. Arectángulos
2. B180
3. Ccomplementarios
4. Dcatetos
5. Ehipotenusa
6. Fcatetos
7. Ghipotenusa
8. Hcateto
9. Ihipotenusa
10. Jaltura
11. Kcatetos
30TEOREMA de TALES...
1. A2,25
2. B9
3. C13,5
4. D10
5. E3,75
6. F15
7. G22,5
8. H100
9. I10
10. J6
11. K8
12. L100
31PLANO CARTESIANO...
1. A(+4,0)
2. B(+2,+5)
3. C(+7,+3)
4. D(+9,+8)
5. E(–1,+7)
6. F(–5,+2)
7. G(–10,+4)
8. H(–6,+9)
9. I(–8,0)
10. J(–2,–3)
11. K(–7,–7)
12. L(–4,–9)
13. M(0,–6)
14. N(+1,–10)
15. O(+3,–4)
16. P(+6,–9)
17. Q(+10,–5)
18. R(0,+1)
32… ... … [ y = 2x – 3 ] . [ y = x² + 3x – 5 ] . [ y = x³+2x²–3x–1 ]
… … … ========= . ============= . ===============
x=–2 => . . y= [blank_start]-7[blank_end] . . . . . . . y= [blank_start]-7[blank_end] . . . . . . . . . . y= [blank_start]5[blank_end]
x=–1 => . . y= [blank_start]-5[blank_end] . . . . . . . y= [blank_start]-7[blank_end] . . . . . . . . . . y= [blank_start]3[blank_end]
x=0 => . . . y= [blank_start]-3[blank_end] . . . . . . . y= [blank_start]-5[blank_end] . . . . . . . . . . y= [blank_start]-1[blank_end]
x=1 => . . . y= [blank_start]-1[blank_end] . . . . . . . y= [blank_start]-1[blank_end] . . . . . . . . . . y= [blank_start]-1[blank_end]
x=2 => . . . y= [blank_start]1[blank_end] . . . . . . . y= [blank_start]5[blank_end] . . . . . . . . . . . y= [blank_start]9[blank_end]
1. A-7
2. B-7
3. C3
4. D5
5. E-7
6. F-5
7. G-3
8. H-5
9. I-1
10. J-1
11. K-1
12. L-1
13. M1
14. N5
15. O9
33ÁLGEBRA. ECUACIONES ...
=======================
[ 2x – 3 = 5 ]
2x = 5 + [blank_start]3[blank_end] // x = [blank_start]8[blank_end] / 2 // x = [blank_start]4[blank_end]
. . .
[ 3x – 1 = x + 9 ]
3x – [blank_start]x[blank_end] = 9 + [blank_start]1[blank_end] // [blank_start]2[blank_end]x = [blank_start]10[blank_end]
x = 10 / [blank_start]2[blank_end] // x = [blank_start]5[blank_end]
. . .
[ 5 – x = 2 ]
5 – [blank_start]2[blank_end] = [blank_start]x[blank_end] // [blank_start]3[blank_end] = x
. . .
[ \(\frac {3x−1}{5}\) = 4 ]
3x – 1 = 4 · [blank_start]5[blank_end] // 3x = [blank_start]20[blank_end] + 1
x = 21 / [blank_start]3[blank_end] // x = [blank_start]7[blank_end]
. . .
[ \(\frac {3x}{2}\) + 4 = 7 ] . (Dos FORMAS):
3x + 4·[blank_start]2[blank_end] = 7·[blank_start]2[blank_end] . . . . . \(\frac {3x}{2}\) = 7 – [blank_start]4[blank_end]
3x = [blank_start]14[blank_end] – [blank_start]8[blank_end] . . . . . . . . 3x = [blank_start]3[blank_end] · [blank_start]2[blank_end]
x = [blank_start]6[blank_end] / 3 . . . . . . . . . . 3x = [blank_start]6[blank_end]
x = [blank_start]2[blank_end] . . . . . . . . . . . . x = 6 / [blank_start]3[blank_end] = [blank_start]2[blank_end]
[ \(\frac {2x–1}{3}\) + \(\frac {x}{2}\) = 9 ]
[blank_start]2[blank_end]· (2x–1) + [blank_start]3[blank_end] · x = 9 · [blank_start]6[blank_end]
4x – 2 + [blank_start]3x[blank_end] = [blank_start]54[blank_end]
[blank_start]7x[blank_end] = 54 + 2 // x = 56 / [blank_start]7[blank_end] = [blank_start]8[blank_end]
1. A3
2. B8
3. C4
4. Dx
5. E1
6. F2
7. G10
8. H2
9. I5
10. Jx
11. K2
12. L3
13. M5
14. N20
15. O3
16. P7
17. Q2
18. R2
19. S14
20. T8
21. U6
22. V2
23. W4
24. X3
25. Y2
26. Z6
27. AA2
28. AB3
29. AC2
30. AD3
31. AE6
32. AF3x
33. AG54
34. AH7x
35. AI7
36. AJ8
34EXPRESIONES ALGEBRAICAS...
=========================
Diagonal del cuadrado de lado 'x' => [blank_start]x[blank_end] · \(\sqrt{2}\)
Diagonal del rectángulo de lados 'x' 'y' => V¯([blank_start]x[blank_end]²+[blank_start]y[blank_end]²)
Área del trapecio de dimensiones 'B' 'b' 'h' => ([blank_start]B[blank_end]+[blank_start]b[blank_end]) · [blank_start]h[blank_end]/[blank_start]2[blank_end]
Longitud de un arco de radio 'x' y ángulo 'A'º => \(\pi\) · [blank_start]x[blank_end] · [blank_start]A[blank_end]/180
Área de corona circular entre circunferencias de radios 'R' 'r' => \(\pi\) · ([blank_start]R[blank_end]² – [blank_start]r[blank_end]²)
Producto de dos números impares consecutivos => ([blank_start]2x[blank_end]–1) · ([blank_start]2x[blank_end]+1) = [blank_start]4x[blank_end]²–[blank_start]1[blank_end]
1. Ax
2. Bx
3. Cy
4. DB
5. Eb
6. Fh
7. G2
8. Hx
9. IA
10. JR
11. Kr
12. L2x
13. M2x
14. N4x
15. O1
35FACTORIZACIÓN ALGEBRAICA ...
==========================
Sacar factor común:
6x² + 9x – 5 ... => ... [[blank_start]3x[blank_end]] · ([blank_start]2x+3[blank_end]) – 5
2x²y – 3xy² + xy ... => ... [[blank_start]xy[blank_end]] · ([blank_start]2x-3y+1[blank_end])

Cuadrado de suma y resta:
x² + 10x + 25 ... => ... ([blank_start]x+5[blank_end]) · (x+5) = (x+5)²
4x² – 12x + 9 ... => ... ([blank_start]2x-3[blank_end]) · (2x-3) = (2x-3)²

Suma por diferencia:
9x² – 36 ... => ... ([blank_start]3x+6[blank_end]) · ([blank_start]3x-6[blank_end])
25x² – 4y² ... => ... ([blank_start]5x+2y[blank_end]) · ([blank_start]5x-2y[blank_end])

Ecuación cuadrada:
2x² + x – 3 = 0 . . . Soluciones: 1 y -3/2
2x² + x – 3 ... => ... ([blank_start]x-1[blank_end]) · ([blank_start]2x+3[blank_end])

Otros factores (Regla de Ruffini):
6x³+5x²–17x–6 ... => ... = (x+2) · ([blank_start]6x²-7x-3[blank_end])
. . . (x+2) · ([blank_start]2x-3[blank_end]) · (3x+1)
1. A3x
2. B2x+3
3. Cxy
4. D2x-3y+1
5. Ex+5
6. F2x-3
7. G3x+6
8. H3x-6
9. I5x+2y
10. J5x-2y
11. Kx-1
12. L2x+3
13. M6x²-7x-3
14. N2x-3
36ECUACIONES RACIONALES. Ejemplos ...
1. A2
2. B-1
3. C2
4. D-2
5. E1
6. F7/15
37TÉRMINO de una SUCESIÓN...
========================
5º de [3n²-5] = [blank_start]70[blank_end]
4º de [2n+3] = [blank_start]11[blank_end]
2º de [n³/2] = [blank_start]4[blank_end]
6º de [3n/2] = [blank_start]9[blank_end]
3º de [2n³-8] = [blank_start]46[blank_end]
5º de [(n²+3)/2] = [blank_start]14[blank_end]
1. A70
2. B11
3. C4
4. D9
5. E46
6. F14
38ESTADÍSTICA: Datos de un examen
de los 50 alumnos de una clase...
. x . . fi . . Fi . . f% . . F% . . x·fi
=== === === === ==== ====
. 0 . . 1 . . 1 . . . 2 . . . 2 . . . [blank_start]0[blank_end]
. 1 . . 3 . . 4 . . . 6 . . . 8 . . . [blank_start]3[blank_end]
. 2 . . 2 . . 6 . . . [blank_start]4[blank_end] . . 12 . . .[blank_start]4[blank_end]
. 3 . . 4 . .10 . . .[blank_start]8[blank_end] . . [blank_start]20[blank_end] . .[blank_start]12[blank_end]
. 4 . . 5 . .[blank_start]15[blank_end] . .10 . . 30 . . [blank_start]20[blank_end]
. 5 . . 7 . .22 . . [blank_start]14[blank_end] . .44 . .[blank_start]35[blank_end]
. 6 . .11 . 33 . . [blank_start]22[blank_end] . .66 . .[blank_start]66[blank_end]
. 7 . . 8 . .[blank_start]41[blank_end] . .16 . .[blank_start]82[blank_end] . . [blank_start]56[blank_end]
. 8 . . 4 . .45 . . 8 . . .[blank_start]90[blank_end] . . [blank_start]32[blank_end]
. 9 . . 3 . .[blank_start]48[blank_end] . . 6 . . .96 . . [blank_start]27[blank_end]
.10 . .2 . .50 . . 4 . .100 . . [blank_start]20[blank_end]
. . . === . . . . === . . . . . ====
. . . . 50 . . . . 100 . . . . . . [blank_start]275[blank_end]
======================
MEDIA => [blank_start]275[blank_end] / [blank_start]50[blank_end] = [blank_start]5,5[blank_end]
MEDIANA => [blank_start]5[blank_end]+3/11
MODA => [blank_start]6[blank_end]
1. A0
2. B3
3. C4
4. D12
5. E20
6. F35
7. G66
8. H56
9. I32
10. J27
11. K20
12. L275
13. M15
14. N41
15. O48
16. P4
17. Q8
18. R14
19. S22
20. T20
21. U82
22. V90
23. W275
24. X50
25. Y5,5
26. Z5
27. AA6
39Sistema BINARIO { 32 ~ 16 ~ 8 ~ 4 ~ 2 ~ 1 } ...
1. A52
2. B27
3. C60
4. D3
5. E41
6. F17
7. G42
8. H57
9. I26
10. J40
11. K20
12. L23
40A modo de REGLA de TRES ...
==========================
4 es a CUATRO, como 9 es a [blank_start]NUEVE[blank_end]. - - - - - - - - - - - - m² es a m³, como SUPERFICIE es a [blank_start]VOLUMEN[blank_end].
10 es a DIEZ, como 20 es a [blank_start]VEINTE[blank_end]. - - - - - - - - - - - - - METRO es a KILÓMETRO, como KILO es a [blank_start]TONELADA[blank_end].
9° es a NOVENO, como 20° es a [blank_start]VIGÉSIMO[blank_end]. - - - - - - -METRO es a CENTÍMETRO, como EURO es a [blank_start]CÉNTIMO[blank_end].
7° es a SÉPTIMO, como 12° es a [blank_start]DUODÉCIMO[blank_end]. - - - - TIEMPO es a HORA, como ÁNGULO es a [blank_start]GRADO[blank_end].
1/4 es a UN CUARTO, como 1/2 es a UN [blank_start]MEDIO[blank_end]. - - - 15 h es a 15 HORAS, como 15° es a 15 [blank_start]GRADOS[blank_end].
N² es a N³ , como CUADRADO es a [blank_start]CUBO[blank_end]. - - - - - - - - 45º es a AGUDO, como 135º es a [blank_start]OBTUSO[blank_end].
1ª es a DÉCIMAS, como 3ª es a [blank_start]MILÉSIMAS[blank_end]. - - - - - - - ROTACIÓN es a DÍA, como TRASLACIÓN es a [blank_start]AÑO[blank_end].
3² es a POTENCIA, como 3/4 es a [blank_start]FRACCIÓN[blank_end]. - - - - - CIRCUNFERENCIA es a ARCO, como RECTA es a [blank_start]SEGMENTO[blank_end].
x es a MULTIPLICAR, como : es a [blank_start]DIVIDIR[blank_end]. - - - - - - - -NIVEL es a HORIZONTAL, como PLOMADA es a [blank_start]VERTICAL[blank_end].
x es A MULTIPLICAR, como + es a [blank_start]SUMAR[blank_end]. - - - - - - - 3 es a TRIÁNGULO, como 6 es a [blank_start]HEXÁGONO[blank_end].
F es a LETRA, como 5 es a [blank_start]CIFRA[blank_end]. - - - - - - - - - - - - - - PERÍMETRO es a POLÍGONO, como CIRCUNFERENCIA es a [blank_start]CÍRCULO[blank_end].
ROMA es a PALABRA, como 7.541 es a [blank_start]CANTIDAD[blank_end]. - - - - - - - - - - - CILINDRO es a CONO, como PRISMA es a [blank_start]PIRÁMIDE[blank_end].
RESTA es a DIFERENCIA, como MULTIPLICACIÓN es a [blank_start]PRODUCTO[blank_end]. - BORDE es a ARISTA, como ESQUINA es a [blank_start]VÉRTICE[blank_end].
SUMAR es a TOTAL, como DIVIDIR es a [blank_start]COCIENTE[blank_end]. - - - - - - - - - - - - ÁREA es a HECTÁREA, como AÑO es a [blank_start]SIGLO[blank_end].
SUMA es a SUMANDOS, como MULTIPLICACIÓN es a [blank_start]FACTORES[blank_end]. - - SEGUNDO es a MINUTO, como MINUTO es a [blank_start]HORA[blank_end].
1. ANUEVE
2. BVEINTE
3. CVIGÉSIMO
4. DDUODÉCIMO
5. EMEDIO
6. FCUBO
7. GMILÉSIMAS
8. HFRACCIÓN
9. IDIVIDIR
10. JSUMAR
11. KCIFRA
12. LCANTIDAD
13. MPRODUCTO
14. NCOCIENTE
15. OFACTORES
16. PVOLUMEN
17. QTONELADA
18. RCÉNTIMO
19. SGRADO
20. TGRADOS
21. UOBTUSO
22. VAÑO
23. WSEGMENTO
24. XVERTICAL
25. YHEXÁGONO
26. ZCÍRCULO
27. AAPIRÁMIDE
28. ABVÉRTICE
29. ACSIGLO
30. ADHORA
41SUDOKU
[P] [E] [L] [O] [T] [A] ...
1. AL
2. BT
3. CE
4. DO
5. EE
6. FE
7. GO
8. HO
9. IP
10. JP
11. KP
12. LA
13. MA
14. NL
15. OL
16. PT
42SUDOKU...
1. AP
2. BE
3. CL
4. DO
5. ET
6. FA
7. GA
8. HT
9. IE
10. JP
11. KL
12. LO
13. MT
14. NO
15. OA
16. PL
17. QO
18. RE
19. SP
20. TP
21. UA
22. VA
23. WT
24. XL
43PORCENTAJES...
Un ciclista ha recorrido 18 km de una etapa que tiene 150 km en total. ¿Qué porcentaje le queda por recorrer?
... 18 de 150 => 1.800/150 = 12% ha recorrido
... 100–12 = 88% queda por recorrer.

Una magdalena contiene 24 gramos de harina, que representan el 40% de su peso total.
¿Cuánto pesará una bolsa con una docena?
... 40% de P = 24 g => P = 2.400/40 = 60 g pesa cada una.
... 60 x 12 = 720 g pesará una docena.

Queremos comprar unos pantalones que tienen un 20% de descuento.
Si su precio final después de la rebaja es 27,2 €,
¿cuánto costaban los pantalones antes de ser rebajados?
... Ha pagado el 80%. => 27,2x100/80 = 34 € ers su precio inicial.

Una panadería ha vendido 340 barras de pan de las 500 barras que habían preparado.
¿Qué porcentaje se ha vendido? ¿Qué porcentaje ha quedado sin vender?
... 340 de 500 => 340x100/500 = 68% ha vendido.
... 100 – 68 = 32% sin vender.

Este año pagamos 252 € de IBI tras una subida del 5%.
¿Cuánto pagamos el año pasado, antes de la subida?
... El 105% de P = 254,6 => 252x100/105 = 240 € el año pasado.

A fecha actual, el agua embalsada en Córdoba es de 2000 hm3, lo que supone un 70% de la capacidad total. ¿Cuál es la capacidad total de los embalses de Córdoba?
1. AP O R C E N T A J E S
44. . . = P O R C E N T A J E S = . . . .
. . . =================== . . . .
4% de 25 = [blank_start]1[blank_end] . . . . 10% de 40 = [blank_start]4[blank_end]
5% de 60 = [blank_start]3[blank_end] . . . . 15% de 60 = [blank_start]9[blank_end]
8% de 75 = [blank_start]6[blank_end] . . . 25% de 200 = [blank_start]50[blank_end]

6 de 15 = [blank_start]40[blank_end]% . . . 12 de 20 = [blank_start]60[blank_end]%
9 de 30 = [blank_start]30[blank_end]% . . . 6 de 120 = [blank_start]5[blank_end]%
1. A1
2. B3
3. C6
4. D4
5. E9
6. F50
7. G40
8. H30
9. I60
10. J5
45PORCENTAJES...
============
Un ciclista ha recorrido 18 km de una etapa de 150 km.
¿Qué porcentaje le queda por recorrer?
... 18 de 150 >>> 18x100/[blank_start]150[blank_end] = [blank_start]12[blank_end]% ha recorrido
... 100–[blank_start]12[blank_end] = [blank_start]88[blank_end]% queda por recorrer.

Una magdalena contiene 24 gramos de harina, que es el 40% de su peso total.
¿Cuánto pesará una bolsa con una docena?
... 40% de P = 24 g >>> P = [blank_start]24[blank_end]x100/[blank_start]40[blank_end] = [blank_start]60[blank_end] g pesa cada una.
... 60 x [blank_start]12[blank_end] = [blank_start]720[blank_end] g pesará una docena.

Una prenda con un 20% de descuento, me costó 27,2 €.
¿Cuánto costaba antes de la rebaja?
... Ha pagado el: 100–20 = [blank_start]80[blank_end]% >>> 27,2x[blank_start]100[blank_end]/[blank_start]80[blank_end] = [blank_start]34[blank_end] € era su precio inicial.

Se han vendido 340 panes de los 500 que se habían preparado.
¿Qué porcentaje se ha vendido? ¿Qué porcentaje ha quedado sin vender?
... 340 de 500 >>> 340x100/500 = [blank_start]68[blank_end]% ha vendido.
... 100 – [blank_start]68[blank_end] = [blank_start]32[blank_end]% sin vender.

Este año pagamos 252 € de IBI tras una subida del 5%.
¿Cuánto pagamos el año pasado, antes de la subida?
... El 100+5 = [blank_start]105[blank_end]% de P = 252 >>> 252x100/[blank_start]105[blank_end] = [blank_start]240[blank_end] € el año pasado.

Un embalse contiene 644 hm³ de agua, que es un 70% de la capacidad total.
¿Cuál es la capacidad total del embalse?
... 70% de T = [blank_start]644[blank_end] >>> [blank_start]644[blank_end]x100/[blank_start]70[blank_end] = [blank_start]920[blank_end] hm³ lleno.
1. A12
2. B88
3. C150
4. D12
5. E24
6. F40
7. G60
8. H12
9. I720
10. J80
11. K100
12. L80
13. M34
14. N68
15. O68
16. P32
17. Q105
18. R105
19. S240
20. T644
21. U644
22. V70
23. W920
46SISTEMAS de NUMERACIÓN...
NÚMERO: 1 2 0
=============
En base 2 => [120/2] = [blank_start]60[blank_end](0)/2 = [blank_start]30[blank_end](0)/2 = [blank_start]15[blank_end](0)/2 = [blank_start]7[blank_end](1)/2 = [blank_start]3[blank_end](1)/2 = [blank_start]1[blank_end](1)
... >>> 1111000
En base 5 => [120/5] = 24([blank_start]0[blank_end])/5 = 4([blank_start]4[blank_end])
... >>> [blank_start]440[blank_end]
En base 9 => [120/9] = [blank_start]13[blank_end]([blank_start]3[blank_end])/9 = [blank_start]1[blank_end]([blank_start]4[blank_end])
... >>> [blank_start]143[blank_end]
1. A60
2. B30
3. C15
4. D7
5. E3
6. F1
7. G0
8. H4
9. I440
10. J13
11. K3
12. L1
13. M4
14. N143
47SISTEMAS de NUMERACIÓN.
PASO a BASE DECIMAL ...
====================
100110 en base 2 => 0+1·[blank_start]2[blank_end]+1·[blank_start]4[blank_end]+0·[blank_start]8[blank_end]+0·[blank_start]16[blank_end]+1·[blank_start]32[blank_end] = [blank_start]38[blank_end]
2031 en base 4 => [blank_start]1[blank_end]+[blank_start]3[blank_end]·4+[blank_start]0[blank_end]·16+[blank_start]2[blank_end]·64 = [blank_start]141[blank_end]
1507 en base 8 => 7+0·[blank_start]8[blank_end]+5·[blank_start]64[blank_end]+1·[blank_start]512[blank_end] = [blank_start]839[blank_end]
1. A38
2. B2
3. C4
4. D8
5. E16
6. F32
7. G1
8. H3
9. I0
10. J2
11. K141
12. L8
13. M64
14. N512
15. O839
48CÁLCULOS en CADENA ...
1. A54
2. B64
3. C8
4. D56
5. E36
6. F6
7. G42
8. H21
9. I25
10. J5
11. K125
12. L250
13. M180
14. N30
15. O24
16. P3
17. Q9
18. R81
19. S49
20. T7
21. U35
22. V40
23. W8
24. X64
25. Y16
26. Z4
27. AA28
28. AB14
29. AC20
30. AD4
49. . . . . . . = Á L G E B R A = . . . . . . .
===========================
x–3=0 > x=[blank_start]3[blank_end] . . . . . . . x+5=3 > x=[blank_start]-2[blank_end]
3+x=5 > x=[blank_start]2[blank_end] . . . . . . . 2=x–3 > x=[blank_start]5[blank_end]
x/2=3 > x=[blank_start]6[blank_end] . . . . . . . x/3+2=5 > x=[blank_start]9[blank_end]
2x=6 > x=[blank_start]3[blank_end] . . . . . . . . 2x+3=7 > x=[blank_start]2[blank_end]
2x–1=5 > x=[blank_start]3[blank_end] . . . . . . 3x=9 > x=[blank_start]3[blank_end]
3x+2=5 > x=[blank_start]1[blank_end] . . . . . . 3x–5=4 > x=[blank_start]3[blank_end]
2x/3=4 > x=[blank_start]6[blank_end] . . . . . . . 3x/2=6 > x=[blank_start]4[blank_end]
2x/5+1=3 > x=[blank_start]5[blank_end] . . . . . 3x/4–5=1 > x=[blank_start]8[blank_end]
x²=9x4 > x=+–[blank_start]6[blank_end] . . . . . x²+5=9 > x=+–[blank_start]2[blank_end]
x²–3=6 > x=+–[blank_start]3[blank_end] . . . . . 2x²/3=6 > x=+–[blank_start]3[blank_end]
3x²/2–5=1 > x=+–[blank_start]2[blank_end] . . 2x–3=x+1 > x=[blank_start]4[blank_end]
x=3x–6 > x=[blank_start]3[blank_end] . . . . . . (2x–3)/5=x > x=[blank_start]-1[blank_end]
x³=54/2 > x=[blank_start]3[blank_end] . . . . . 3x/5=(x+3)/2 > x=[blank_start]15[blank_end]
1. A3
2. B-2
3. C2
4. D5
5. E6
6. F9
7. G3
8. H2
9. I3
10. J3
11. K1
12. L3
13. M6
14. N4
15. O5
16. P8
17. Q6
18. R2
19. S3
20. T3
21. U2
22. V4
23. W3
24. X3
25. Y15
26. Z-1
50ECUACIÓN RACIONAL ...
1. Ax+2
2. Bx-1
3. Cx
4. D+x
5. E-2
6. Fx
7. G-2
8. H8
9. I2
10. J-1
51CÁLCULO MENTAL ...
=================
9x7 =[blank_start]63[blank_end]– 5 =[blank_start]58[blank_end]/ 2 =[blank_start]29[blank_end]– 4 =[blank_start]25[blank_end]√¯=[blank_start]5[blank_end]x 8 =[blank_start]40[blank_end]
8+7 =[blank_start]15[blank_end]/ 3 =[blank_start]5[blank_end]x 9 =[blank_start]45[blank_end]+ 4 =[blank_start]49[blank_end]√¯=[blank_start]7[blank_end]x 3 =[blank_start]21[blank_end]
7–3 =[blank_start]4[blank_end]² =[blank_start]16[blank_end]x 4 =[blank_start]64[blank_end]√¯=[blank_start]8[blank_end]x 7 =[blank_start]56[blank_end]– 15 =[blank_start]41[blank_end]
6x7 =[blank_start]42[blank_end]/ 2 =[blank_start]21[blank_end]/7 =[blank_start]3[blank_end]³ = [blank_start]27[blank_end]x 2 =[blank_start]54[blank_end]/ 6 =[blank_start]9[blank_end]
1. A63
2. B58
3. C29
4. D25
5. E5
6. F40
7. G15
8. H5
9. I45
10. J49
11. K7
12. L21
13. M4
14. N16
15. O64
16. P8
17. Q56
18. R41
19. S42
20. T21
21. U3
22. V27
23. W54
24. X9

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Description: Actividades de MATEMÁTICAS para SECUNDARIA ...
Author: Deleted user
Language: English
Views: 39
History: Created on 17 Apr 2019 · updated on 17 Apr 2019
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MATEMÁTICAS SECUNDARIA

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