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garri49 [273]
2 years ago
7

Fill in the blank with the correct German form.

German
2 answers:
Reika [66]2 years ago
8 0
„Lernt“ Josef Chinesisch?
S_A_V [24]2 years ago
3 0
Lernt Josef Chinesisch?
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13. in das Kinderzimmer

14. auf den Tisch

15. an der Wand

16. an die Wand

17. hinter das Haus

18. hinter dem Haus

19. zwischen den Häusern

20. zwischen die Häuser

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1.1 Multiplication and Division

1. (a) 20 (b) 21 (c) 36 (d) 42 (e) 45 (f) 18

(g) 28 (h) 49 (i) 40 (j) 8 (k) 9 (l) 4

(m) 7 (n) 7 (o) 9 (p) 0 (q) 0 (r) 0

2. (a) 3 (b) 7 (c) 4 (d) 8 (e) 3 (f) 4 (g) 9

(h) 7 (i) 3 (j) 7 (k) 4 (l) 5 (m) 2 (n) 4

(o) 7 (p) 0 (q) 0 (r) 0

3. 24

4. 27

5. (a) 16 (b) 28 (c) 32

6. (a) 6 (b) 3 (c) 4

7. 8

8. (a) 35 (b) 14 (c) 42

9. (a) Daniel 70p, Joel 56p (b) Daniel has 14p more than Joel

10. (a) 80 (b) 64 (c) 40

11. £6

12. (a) 9 (b) 7, with 1 left over

13. Team A: 7, Team B: 21, Team C: 14, Team D: 14 14. (a) 7 (b) 5

1.2 Squares, Cubes, Square Roots and Cube Roots

1. (a) 25 (b) 36 (c) 1 (d) 49 (e) 6 (f) 1 (g) 7

(h) 5

2. (a) 27 (b) 64 (c) 216 (d) 1000 (e) 3 (f) 10

(g) 6 (h) 4

3. (a) 100 (b) 4 (c) 16 (d) 49 (e) 64 (f) 81

(g) 1 (h) 343 (i) 512 (j) 0 (k) 0 (l) 8

4. (a) 10 (b) 2 (c) 9 (d) 8 (e) 4 (f) 3

5. (a) 144 (b) 121 (c) 3375 (d) 2197 (e) 169 (f) 225

(g) 400 (h) 1331 (i) 11 (j) 20 (k) 13 (l) 15

(m) 15 (n) 13 (o) 12 (p) 11

6. (a) 52 (b) 5 (c) 116 (d) 25 (e) 16 (f) 72

(g) 1001 (h) 100

MEP Pupil Text 1-6 Answers

252

1.3 Index Notation

1. (a) 45

(b) 33

(c) 67

(d) 74

(e) 183

(f) 192

(g) 46 (h) 75

(i) 106

(j) 1005

2. (a) 81 (b) 625 (c) 2401 (d) 10 000 (e) 1 (f) 729

(g) 128 (h) 2 (i) 4096 (j) 4 (k) 1 (l) 25

3. (a) 211 (b) 39

(c) 313 (d) 45

(e) 54

(f) 55

(g) 42 (h) 53

(i) 32 (j) 74

(k) 172 (l) 94

(m) 45

(n) 416 (o) 36 (p) 3 1 0 = (q) 3 3 1 =

(r) 35 (s) 37

(t) 47 (u) 50

4. (a) 22 (b) 23

(c) 24 (d) 26

(e) 33

(f) 52

(g) 43

(h) 34

(i) 53

5. (a) 313 (b) 28

(c) 411 (d) 310 (e) 29

(f) 210

(g) 35 (h) 37

(i) 35 (j) 810 (k) 73

(l) 92

(m) 2 4 4 2 or (n) 23

(o) 23

6. (a) 23

(b) 103

(c) 24 (d) 33

(e) 34

(f) 104

(g) 54

(h) 43

(i) 64

(j) 20 (k) 62

(l) 50

7. (a) 26

(b) 34

(c) 66

(d) 56

(e) 28

(f) 46

(g) 38

(h) 58

(i) 36

8. (a) 28

(b) 24 (c) 310 (d) 53

(e) 105 3

( ) (f) 75 4

( )

9. (a) 36 (b) 214 (c) 512 (d) 73

(e) 74

(f) 27

(g) 3 1 0 = (h) 4 4 1 = (i) 2 2 1 =

10. (a) a5

(b) a10 (c) x9 (d) x2 (e) y3

(f) p3

(g) q3

(h) x8

(i) b3

(j) b6

(k) c3

(l) x5

(m) y2

(n) x 0 = 1 (o) x8

(p) p4 (q) x3

(r) y4

(s) x 0 = 1 (t) x x 1 = (u) x12 (v) x8

(w) x15

(x) x54

11. (a) p = 3 (b) q = 0

12. 2 4 x

MEP Pupil Text 1-6 Answers

253

1.4 Factors

1. (a) 1, 2, 7, 14 (b) 1, 3, 9, 27 (c) 1, 2, 3, 6 (d) 1, 3, 5, 15

(e) 1, 2, 3, 6, 9, 18 (f) 1, 5, 25 (g) 1, 2, 4, 5, 8, 10, 20, 40

(h) 1, 2, 4, 5, 10, 20, 25, 50, 100 (i) 1, 3, 5, 9, 15, 45

(j) 1, 2, 5, 10, 25, 50 (k) 1, 2, 3, 4, 6, 9, 12, 18, 36 (l) 1, 2, 4, 7, 14, 28

2. (a) 1 10 2 5 5 2 10 1 × ×× × ,,, (b) 1 82 44 28 1 ×× × × ,,,

(c) 1 77 1 × × , (d) 1 93 39 1 ××× , ,

(e) 1 16 2 8 4 4 8 2 16 1 × ××× × ,,,, (f) 1 22 2 11 11 2 22 1 ×× ×× ,,,

(g) 1 11 11 1 × × ,

(h) 1 24 2 12 3 8 4 6 6 4 8 3 12 2 × × ×××× × , ,,,,, , 24 1 ×

3. (a) 4 (b) 3 (c) 3 (d) 4 (e) 5 (f) 4 (g) 11

(h) 1

4. (a) 6, 10, 20, 8, 2, 24, 4 (b) 10, 20, 15, 55

5. (a) (i) 20, 22, 24, 26 (ii) 21, 24, 27 (iii) 20, 25

(b) prime numbers

6. (a) (i) 16 (ii) 18 (b) (i) 25 (ii) 27

1.5 Prime Factors

1. 2, 3, 5, 7, 13, 19, 23

2. 53, 59

3. (a) 2 5 × (b) 237 × × (c) 2 17 2 × (d) 2 37 3 × ×

(e) 2 53 × (f) 23 5 3 × × (g) 3 11 13 × × (h) 3 5 11 2 × ×

(i) 7 11 13 × ×

4. (a) 32 25 = and 56 2 7 3 = × (b) 2 8 3 (= )

5. (a) 236 × = (b) 236 × = (c) 3 5 15 × = (d) 2

(e) 2 5 10 × = (f) 5 7 35 × = (g) 2 3 24 3 × =

(h) 2 3 13 78 ×× = (i) 3 7 147 2 × =

6. (a) 45 3 5 2 = × , 99 3 11 2 = × , 135 3 5 3 = ×

(b) (i) 3 9 2 = (ii) 3 9 2 = (iii) 3 5 45 2 × = (c) 3 9 2 =

7. (a) 5 (b) 3 5 45 2 × = (c) 2 8 3 = (d) 2 5 10 × =

(e) 2 3 24 3 × = (f) 2 3 5 30 ××= (g) 2 3 108 2 3 × =

(h) 2 11 44 2 × = (i) 2 3 7 252 2 2 × ×=

MEP Pupil Text 1-6 Answers

254

1.6 Further Index Notation

1. (a) 1

16 (b) 1

8

(c) 1

6

(d) 1

7

(e) 3 (f) 8 (g) 2

(h) 3 (i) 1 (j) 1

25 (k) 8 (l) 32 (m) 2187

(n) 125 (o) 1

2

2. (a) – 4 (b) – 1 (c) – 3 (d) 1

2

(e) − 1

2

(f) 2

(g) 3 (h) – 1 (i) 1

3

(j) – 1 (k) – 2 (l) – 2

(m) – 3 (n) 1

2

(o) – 2 (p) 1

3

(q) 2

3

(r) 2

5

3. (a) 0.125 (b) 0.05 (c) 2 (d) 4 (e) 1

225 = 0 004444 . ...

(f) 0.000125 (g) 729 (h) 27 (i) 1

2

(j) 1728

(k) 62748517 (l) 1331

4. (a) 1

a

(b) a10 (c) a4 (d) 1

6 a

(e) 1

2 a

(f) 1

6 a

(g) a8

(h) a

5

2 (i) 1

3

2 a

(j) a2 (k) 1

3 a

(l) a3

(m) a

b

2

2 (n) a

b

6

12 (o) a b 12 2 (p) b

a

4

4 (q) a

b

8

12

(r) m

n

2

6 (s) a

b

3

5 (t) m

a

2

(u) c

a b

3

4 (v) x

m2

(w) z

x y

12

8 4 (x) b

a

16

3

2

5. (a) 1

9

(b) a4 (c) y = 5

2

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