mastery practice roots, cubes and cube roots objective ...€¦ · answers 1 chapter 1 squares,...

Answers 1

Chapter 1 Squares, Square Roots, Cubes and Cube Roots

Test Yourself 1.1

1 1. (a) (–9)2 (b) (3 —)2 (c) 5.62

4 2. (a) 6 × 6

(b) –14 × (–14)(c) 3.2 × 3.2 (d) –10.5 × (–10.5)

(e) 49

× 49

(f) –1 37

×(–1 37

)

3. (a) 64 (b) 441 (c) 0.49 4 25(d) 0.1156 (e) — (f) — 9 64

16 121 484 4. (a) — (b) —— (c) —— 9 16 25

5. (a) 400 (b) 90000 (c) 2500

6. (a) Between 900 and 1600(b) Between 49 and 64(c) Between 16 and 25

7. (a) 36, 49, 64, 81(b) 441, 484, 529, 576, 625,

676, 729, 784

8. (a) Yes (b) No (c) Yes(d) No (e) No (f) Yes

9. 1296 cm2

10. 324 tiles

11. 176 cm2

Test Yourself 1.2 2 1. (a) 7 (b) 0.8 (c) — 3 2. (a) 9 (b) 30 (c) 17 3 6 2 3. (a) — (b) — (c) — 7 11 3

4 4 13(d) — (e) — (f) — 5 3 8

4. (a) 0.5 (b) 2.5 (c) 0.07

5. (a) 7 (b) 0.4 8 7(c) — (d) — 9 10

6. (a) 21 (b) 65

7. (a) 6 (b) 10

8. (a) 4 (b) 5 (c) 9

9. (a) Between 6 and 7

(b) Between 10 and 11(c) Between 12 and 13

10. 100 cm

11. 168 cm2

12. (a) 91.16 (b) 0.9116(c) 288.3

Test Yourself 1.3

1. (a) 73 (b) (–0.6)3

1 (c) (–1 — )3

2

2. (a) 12 × 12 × 12 7 7 7(b) — × — × — 10 10 10(c) – 4.5 × (– 4.5) × (– 4.5)

3. (a) 216 (b) 21952(c) 0.064 (d) –3.375 8 125(e) —— (f) – —— 343 64

4. (a) 27 (b) 125000000(c) 0.512

5. (a) Between 8000 and 27000(b) Between 64000000 and

125000000(c) Between 216 and 343

6. 1728 cm3

7. 994 cm3

Test Yourself 1.4 1 1. (a) 5 (b) 1.7 (c) – — 3

2. (a) 1 (b) –3 (c) –10

1 2 3 3. (a) — (b) – — (c) — 2 3 2

4. (a) – 0.5 (b) 1.1 (c) 40

5. (a) 2 (b) 6 (c) –10

6. (a) Between 4 and 5(b) Between 0.2 and 0.3(c) Between 7 and 8

7. 168 cm

8. 6.30 cm

9. (a) 54 (b) 3 (c) – 0.8 1(d) –27 (e) 45 (f) — 2(g) 0.054

Mastery Practice

Objective Questions

1. B 2. A 3. C 4. C 5. B

6. B 7. B 8. A 9. A 10. D

11. C 12. B 13. B 14. B 15. D

Subjective Questions

1. 79.25 2. 5.45

3. 48.36 4. 0.8

5. 41.91 6. 71.79 4 7. 1 — 7 8. (a) 0.2 (b) –8 2 9. (a) 1 — (b) 3 3 10. (a) –0.6 (b) 48

Chapter 2 Rational and Irrational Numbers

Test Yourself 2.1

1. (a) 27125

(b) – 421100

(c) 517

(d) – 133

2. (a) 561

(b) – 301

(c) 2361

(d) – 4311

3. (a) 0.3 (b) 0.42857(c) 0.6667 (d) 0.8

4. (a) 0.–6 (b) 0..2

(c) 0.–2 3 (d) 0.–5 71–4 28 7 4 5. (a) — (b) — 9 11 7 13 (c) — (d) — 27 27

Test Yourself 2.2

2. (a) Yes (b) No(c) No (d) No

3. (a) Yes (b) No(c) Yes (d) No

Test Yourself 2.3

1. (a) 53 (b) 35(c) 9 (d) 6

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2 Mathematics Mathayom 2

2. (a) 511 (b) 93(c) 413 (d) 108

311 713 3. (a) ——– (b) ——— 11 13

58(c) 36 (d) —— 2

5 – 3 4. (a) ———— 2 3(8 – 6) (b) ————— 2 5(9 + 5)(c) ————— 4

(d) 3(13 + 11)

Mastery Practice

Objective Questions

1. C 2. D 3. A 4. B 5. B 6. B 7. C 8. B 9. B 10. D 11. B 12. C 13. C 14. A


1. Rational 2. Irrational 3. 312 4. 83 5. 72 6. 43 7. 9 8. 4

9. 12 10. 11

11. 167 12. 417 13. 43 14. 26 413 711 15. ——– 16. ——– 13 11 –87 17. —— 18. –33 7 8 + 3 3(11 + 7) 19. ———— 20. —————– 5 4

21. 2(14 – 7) 22. 5(8 + 5)

Chapter 3 Length and Area

Test Yourself 3.1

1. (a) 2.4 cm, 1516

inch

(b) 4.2 cm, 1 1116

inch

2. (a) 2800 m (b) 237 mm

(c) 3467000 cm (d) 39880 mm(e) 40 cm (f) 45.7 m(g) 9.8255 km (h) 20.084 m

3. (a) 734 cm (b) 3345 m(c) 125 mm (d) 16.09 m(e) 28.8 cm (f) 36.005 km

4. (a) 7 cm 6 mm (b) 93 km 450 m(c) 37 m 90 cm (d) 7 km 58 m(e) 520 cm 6 mm (f) 7 km 83 m

5. (a) 438 mm (b) 9885 m

(c) 21 km 3 m (d) 10 m 56 cm(e) 6.69 m (f) 21 cm 9 mm

6. (a) 34.68 m (b) 44 cm 8 mm(c) 40.115 km (d) 17.0155 km(e) 1 m 64 cm (f) 2.6 cm

7. (a) 198 Baht (b) 4.3 m

8. 40 cm

9. 25 km 850 m

Test Yourself 3.2

1. (a) 15 cm2 (b) 14 cm2

2. (a) 40 cm2 (b) 18 cm2

(c) 40 cm2 (d) 13.2 cm2

3. (a) 39 cm2 (b) 32 cm2

(c) 68 cm2 (d) 40 cm2

4. 6.25 cm

5. 24 cm2

Test Yourself 3.3

1. (a) RS, PQ (b) GH, EF(c) QR, PQ (d) NP, KL

2. (a) 15 cm2 (b) 14 cm2

3. (a) 12 cm2 (b) 60 cm2

(c) 112 cm2 (d) 24 cm2

(e) 140 cm2 (f) 42 cm2

4. (a) 34 cm2 (b) 22 cm2

(c) 56 cm2 (d) 47.5 cm2

5. (a) 16 cm2 (b) 64 cm2

(c) 48 cm2 (d) 44 cm2

6. 18 cm

7. 16 cm

8. 24 cm2

9. 10800 Baht

Mastery Practice

Objective Questions

1. C 2. C 3. B 4. B 5. C 6. B 7. C 8. D 9. B 10. A 11. B 12. A 13. A 14. D 15. D


1. 33 cm 2. 183 cm

3. 75 cm2 4. 80 cm2

5. 15 cm2 6. 36 cm2

7. 30% 8. 54 cm2

9. 93 cm2 10. 80 cm2

11. 27 cm2 12. 54 cm2

13. 40 cm2 14. 7 cm

15. 36 cm2 16. 7 cm

17. 432 m2

Chapter 4 Ratio, Proportion and Percentage

Test Yourself 4.1

1. (a) (i) 53 : 350 (ii) 53—350

(b) (i) 4 : 5 (ii) 4—5

(c) (i) 1 : 14 (ii) 1—14

(d) (i) 600 : 913 (ii) 600—913

2. (a) Yes (b) No(c) Yes (d) Yes

3. (a) 4 : 9 (b) 12 : 7(c) 4 : 5 (d) 35 : 16(e) 7 : 132 (f) 80 : 27

4. p : q q : p p : p – q q : p + q p – q : p + q

(a) 7 : 2 2 : 7 7 : 5 2 : 9 5 : 9

(b) 24: 9 3 : 8 8 : 5 3 : 11 5 : 11

(c) 52 : 20 5 : 13 13 : 8 5 : 18 4 : 9

Test Yourself 4.2


2. (a) Yes (b) Yes(c) No (d) Yes

3. (a) 120 (b) 108(c) 9 (d) 14

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3

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CHAPTER

4

Answers 3

4. (a) s = 28, t = 63 (b) k = 96, h = 56

5. Wicha = 880 Baht, Suwat = 1120 Baht

6. (a) 221 (b) 171

7. 230°C

8. 70 female competitors

9. Length = 20 cm, breadth = 35 cm

10. 91 kg

Test Yourself 4.3

1. (a) 10 : 2 : 7 (b) 35 : 150 : 24(c) 4 : 30 : 27 (d) 365 : 42 : 90

2. (a) Yes (b) No(c) No (d) Yes

3. (a) 4 : 9 : 7 (b) 12 : 5 : 8(c) 11 : 4 : 12 (d) 9 : 2 : 35

4. p : q : r p : q p : r q : r

(a) 9 : 10 : 4 9 : 10 9 : 4 5 : 2

(b) 15 : 11 : 6 15 : 11 5 : 2 11 : 6

(c) 24 : 40 : 25 3 : 5 24 : 25 8 : 5

(d) 55 : 85 : 16 11 : 17 55 : 16 85 : 16

5. (a) 15 : 24 : 26 (b) 195 : 60 : 28

6. (a) x = 240, y = 144(b) q = 12, r = 7

7. Malee = 12000 Baht, Siri = 19200 Baht

8. (a) w = 40, r = 45, k = 55(b) a = 48, b = 92, c = 72(c) s = 210, t = 126, u = 140(d) g = 6, h = 18, f = 7

9. Noodles = 4.5 kg, prawns = 1.5 kg, fish balls = 0.75 kg

10. (a) 400 (b) 28

11. 11 hours 40 minutes

12. 143 kg

13. 1st 14 km = 45.5 min, 2nd 14 km = 52.5 min, 3rd 14 km = 49 min

14. 42500 Baht

Test Yourself 4.4

1. (a) 4% (b) 23%(c) 117%

2. (a) 2—100

(b) 65—100

(c) 120—100

3. (a) 60% (b) 35%(c) 175%

4. (a) 70% (b) 13%(c) 210.5%

5. (a) 2—25

(b) 3—10

(c) 1 2—5

6. (a) 0.005 (b) 0.87(c) 1.25

Test Yourself 4.5

1. (a) 120 (b) 175 Baht(c) 76 Baht (d) 30 litres

2. 1300 Baht

3. 280 male workers

4. (a) 80% (b) 8%(c) 45% (d) 30%(e) 162.5% (f) 50%

5. 25%

6. 80

7. 60 kg

8. 2800 Baht

9. 30%

10. 5%

11. 480000 Baht

12. 5600 Baht

13. 26600 Baht

Mastery Practice

Objective Questions

1. D 2. B 3. A 4. B 5. C 6. D 7. C 8. A 9. B 10. D 11. A 12. A 13. D 14. B 15. C 16. B 17. C 18. C 19. C 20. C 21. D 22. C 23. D 24. A 25. A 26. D 27. C 28. A 29. D 30. B


1. 480 2. 176

3. 5 : 8 4. 156

5. 3 19—22

hours 6. 120

7. 8.5 m 8. 306 cm

9. 9 : 23 10. 18 cm

11. 2650000 Baht 12. 600 Baht

13. 20% 14. 100 Baht

15. 3120 Baht 16. 15%

17. 45% 18. 200 Baht

19. 30% 20. 20%

21. 4500 Baht 22. 27,000 Baht

23. 300 Baht 24. 30%

25. 25% 26. 1000 Baht

Chapter 5 Congruent Triangles

Test Yourself 5.1

1. (a) x = 12 cm, y = 90°, z = 6 cm(b) x = 13 cm, y = 11 cm, z = 10 cm(c) x = 6 cm, y = 11 cm, z = 20°

2. (a) Not congruent, ∆DEF and ∆HFG are not

congruent.(b) Congruent, ∆JKN ∆LMN (SSS)

3. (a) Not congruent, ∆JKM and ∆KLM are not

congruent.(b) Congruent, ∆PQR ∆SRT (SAS)

4. (a) Not congruent, ∆KON and ∆LMO are not

congruent(b) Congruent, ∆PQR ∆TSU (ASA)

Mastery Practice

Objective Questions

1. D 2. C 3. A 4. B 5. B 6. D 7. B 8. C 9. D 10. A

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5



1. ∆ABC ∆EDF, ∆ACB ∆EFD, ∆BAC ∆DEF, ∆BCA ∆DFE, ∆CAB ∆FED, ∆CBA ∆FDE.

2. ∆STU ∆WVS, ∆SUT ∆WSV, ∆TSU ∆VWS, ∆TUS ∆VSW, ∆UST ∆SWV, ∆UTS ∆SVW.

3. ∆JKL ∆MLK, ∆JLK ∆MKL, ∆KJL ∆LMK, ∆KLJ ∆LKM, ∆LJK ∆KML, ∆LKJ ∆KLM.

4. 9 cm

5. 23 cm

6. 11.5 cm

7. (a) 25 cm (b) 11 cm (c) 22 cm

Chapter 6 Pythagoras’ Theorem

Test Yourself 6.1

1. (a) p (b) x (c) QR

2. (a) y 2 = x 2 + z 2

(b) v 2 = u 2 + w 2

(c) JL 2 = JK 2 + KL 2

(d) AC 2 = AB 2 + BC 2

3. (a) 25 cm (b) 13 cm

4. (a) 7.81 cm (b) 13.45 cm(c) 5 cm (d) 9 cm

5. (a) 13 cm (b) 7.48 cm

6. 11.31 cm

7. 3.35 m

Test Yourself 6.2

1. (a) A right-angled triangle(b) Not a right-angled triangle

2. (a) A right-angled triangle(b) Not a right-angled triangle(c) A right-angled triangle

3. (a) A right-angled triangle(b) An acute-angled triangle(c) An obtuse-angled triangle(d) A right-angled triangle

4. An obtuse angle

5. An obtuse-angled triangle

Mastery Practice

Objective Questions

1. C 2. B 3. D 4. C 5. A 6. D 7. A 8. D 9. A 10. C 11. A 12. C


1. 15 2. 21.26 cm

3. 7.21 cm 4. 33.91 m

5. 54 cm 6. 176 cm2

7. 95 m2 8. 6.40 cm

9. 32 m 10. 15 m

11. An acute angle

Chapter 7 Transformations

Test Yourself 7.1

1. (a) Yes (b) Yes(c) No

2. (a) Object:K, image:L(b) Object:N, image:M(c) Object:Q, image:P(d) Object:R, image:S

Test Yourself 7.2

1. (a) Yes (b) No(c) No (d) Yes

2. (a)

M �

M

(b)

M �

M

(c)

M �

M

(d)

M �

M

3. (a) (i) 4 units to the right followed by 4 units upwards.

(ii) 4142(b) (i) 2 units to the left followed

by 3 units downwards.

(ii) – 21– 32(c) (i) 2 units to the right followed

by 5 units downwards.

(ii) – 21– 52(d) (i) 5 units upwards.

(ii) 0152 4. (a) True (b) False

(c) False

5. (a) (8, –10) (b) (0, –12)(c) (13, 7) (d) (–7, – 4)

6. (a) (–7, 4) (b) (–3, – 6)(c) (– 4, –14) (d) (11, 11)

7. (a)

P �

BP

A

(b) P �

C

P

B

(c)

P �

C

P

D

8. (–16, 26) 9. (10, – 6)

CHAPTER

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CHAPTER

7

Answers 5

Test Yourself 7.3

1. (a) Yes (b) Yes(c) No (d) Yes

2. Image of P is B, image of Q is E, image of R is D.

3. (a) False (b) True(c) False (d) True

4. (a)

P

P �

M

N(b)

N

M

P

P �

(c)

N

M

P'

P

(d) P

P �M

N

5. (a)

(b)

(c)

(d)

6. (a) (9, 2) (b) (–9, –2)(c) (–3, –2) (d) (9, 10)(e) (–2, 9)

7. (a) (2, –6) (b) (–2, 6)(c) (–2, 4) (d) (8, –6)(e) (7, 3)

8. (a) A reflection in the line passing through (3, 4) and parallel to the x-axis.

(b) A reflection in the line passing through (–1, 1) and parallel to the y-axis.

(c) A reflection in the line passing through (1, –3) and (5, 1).

(d) A reflection in the line passing through (6, 1) and (2, 5).

9. (a) (6, –3)(b) (– 4, 2)

10. (a)

P

M M �

Q

(b)

R SM

M �

(c)

T

U

M

M �

(d)

W

V

M

M �

Test Yourself 7.4

1. (a) Yes (b) No(c) Yes (d) Yes

2. (a) I (b) I(c) III (d) I

3. (a) True (b) False(c) True (d) True

4. (a)

O

(b)

O

(c)

O

(d)

O

5. (a)

P

O

P'

The angle of rotation is 90° rotating anticlockwise.

(b) P

OP'

The angle of rotation is 90° rotating anticlockwise.

(c)

PO P'

The angle of rotation is 180°.

CHAPTER

7


(d) P

OP'

The angle of rotation is 90° rotating clockwise.

6. (a) (2, –1) (b) (–3, 2)(c) (1, 4) (d) (2, 5)

7. (a) (10, 2) (b) (– 4, –1)(c) (1, –1) (d) (7, 2)

8. (a)

MOM '

(b)

O

M �M

(c)

O

M

M '

(d)

M

O

M �

9. (a) (i) A rotation through 90° clockwise about (–9, 2).

(ii) A rotation through 180° about (5, 2).

(iii) A rotation through 90° anticlockwise about (– 4, – 6).

(b) A rotation through 90° clockwise about (0, –1).

A rotation through 270° anticlockwise about (0, –1).

10. (3, –2)

Test Yourself 7.5


2. (a) Yes (b) Yes(c) Yes

Test Yourself 7.6

1. (a) Not an enlargement(b) Not an enlargement(c) An enlargement(d) An enlargement

1 2. (a) — (b) –1 2

1(c) – — (d) –2 2

3. (a) O

A

B

A�

B�

(b)

V�

T�S�

W� U�

ST

U

O

V

W

(c)

S�

R�

Q�

B�

O

QRP

S

(d) Z�

X�

Y�

OX

YZ

4. (a)

C

(b) C

(c)

C

(d)

C

(e)

C

(f)

C

5. (a) BC and QR, AB and PQ, AC and PR

(b) ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R(c) 3(d) ∆PQR and ∆ ABC

6. (a) A (b) A

AF AE(c) —– = —– AC AB

(d) (i) ∠AGF, ∠GFE, ∠CBA GF FE AE(ii) —– = —– = —– DC CB AB(iii) ABCD, AEFG

7. (a) 2 (b) 12 cm

(c) 11 cm 5 8. (a) – — (b) 15 m 2

1(c) 7 — m 5

1 9. (a) — (b) 7 cm 2

(c) 6 cm

CHAPTER

7

Answers 7

10. (a) 40 (b) 12

(c) 64 (d) 54 1 5(e) — (f) — 3 2

11. (a) 36 cm2 (b) 32 cm2

1 12. (a) – — (b) 126 cm2

3(c) 112 cm2

13. 6 cm2 14. 672 cm2

Mastery Practice

Objective Questions

1. B 2. A 3. D 4. C 5. D 6. A 7. B 8. C 9. A 10. A 11. A 12. B 13. A 14. C 15. C 16. C 17. B 18. A 19. A 20. D 21. B 22. A 23. A 24. A


1.

M

M �

2. (1, 2)

3. A translation – 61– 52

4.

M �

M

Q

P

5. A translation – 81– 42

6.

M �

K�

K

L

L�

M

O

7.

2–2

–4

–2

2

4

y

O x–4 4

8. A translation 101–72 9. K L

M

NN'M'

L�

K'

10.

2–2–2

–4

2

4

–4 4

y

O x

P

P�

11. (9, 0)

12. (3, 0)

13. 90° clockwise; (0, 4)

14. A rotation through 90° clockwise about (–2, 2).

15.

A

BC

A�

B�

C�

16. A reflection in the line passing through (2, 2) and parallel to the y-axis.

17. A translation – 51– 32 18.

PA

B

C

A'

B '

C '

19.

C

I

20.

IC

21.

D 'A'

B 'C '

E '

EA

B

PC

D

22. 30 unit2

23. 10 unit2

24.

C '

A'

B '

B

O C

A

Chapter 8 Statistics

Test Yourself 8.1

1.

162°Coffee

Tea

Chocolate

Others

126°

54°

18°

Hot Beverages Soldby a Cafe

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CHAPTER

8


2.

72°

57°102°

87°Coffee

Chocolate

Favourite Flavours of Ice Creamof 120 People

OthersVanilla

Strawberry

42°

3.

36°162°

Revision

Non-fictionFiction

Reference

Types of Books Boughtby Suree

72°

Test Yourself 8.2

1. (a) Others (b) 1—4

(c) 28000 Baht

2. (a) 30 (b) 45°

(b) 1—8

(d) 1 : 4

Test Yourself 8.3

1. (a) (i) 120° (ii) 17°(b) US$455.3 billion(c) US$210.8 billion

2. (a) 25.78% (b) 64.8°(c) 47.8 billion Baht

(d) 11.1% (e) 160

Mastery Practice

Objective Questions

1. C 2. B 3. A 4. C 5. D 6. C 7. B 8. D 9. A 10. B


1. Private candidate

2. 130°

3. 104 students 4. 78 students

5. 14

6. 20%

7. 80% 8. 140 students

9. 36° 10. 90°

11. 108° 12. 5833 Baht

13. 60° 14. 72°

Chapter 9 Probability

Test Yourself 9.1

1. (a) Impossible (b) Definitely(c) Likely (d) Not likely(e) Even

2. (a) P (b) R (c) Q (d) S (e) T

3. (a) Likely(b) Impossible(c) Not likely(d) Not very likely

4. (a) Impossible (b) Definitely(c) Likely (d) Even

Test Yourself 9.2

1. (a) A dice is rolled.(b) (i) A possible outcome.

(ii) A possible outcome.(iii) An impossible outcome.

2. (a) A possible outcome.(b) A possible outcome.(c) An impossible outcome.

3. (a) The possible outcomes are red ball, blue ball, yellow ball and black ball.

(b) Sample space, S = {red ball, blue ball, yellow ball, black ball}

4. Let H represents the heads of the coin, T represents the tails of the coin, R represents the red pencil, B represents the blue pencil and G represents the green pencil.

(a) The possible outcomes are (H, R), (H, B), (H, G), (T, R), (T, B) and (T, G).

(b) Sample space, S = {(H, R), (H, B), (H, G), (T, R), (T, B), (T, G)}

5. (a) Sample space, S = {F, E, S, T, I, V, A, L}

(b) (i) {E, I, A}(ii) {F, S, T, V, L}

6. (a) (i) Possible event(ii) Possible event(iii) Impossible event

(b) (i) {1, 3, 5}(ii) {}(iii) {2, 3, 5}

Mastery Practice

Objective Questions

1. D 2. A 3. A 4. A 5. C 6. D 7. B 8. D 9. C 10. B 11. B 12. C 13. D 14. A 15. B


1. (a) Impossible (b) Unlikely(c) Certainly (d) Very likely(e) Even

2. (a) Unlikely (b) Certainly(c) Even (d) Impossible(e) Likely

3. (a) (i) Likely(ii) Unlikely(iii) Impossible

(b) A red marble

4. (a) {S, A, M, P, L, E}

(b) (i) Possible outcome(ii) Impossible outcome

(c) (i) {S, M, P, L}(ii) {S, P}

5. (a) {(1, 7), (1, 8), (1, 9), (2, 7), (2, 8), (2, 9), (3, 7), (3, 8), (3, 9), (4, 7), (4, 8), (4, 9), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9)}

(b) (i) Possible(ii) Possible

(c) (i) {(2, 7), (3, 7), (5, 7)}(ii) {(1, 7), (1, 8), (1, 9),

(2, 7), (2, 8), (2, 9), (3, 7), (3, 8), (4, 7)}

CHAPTER

8

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CHAPTER

9

mastery practice roots, cubes and cube roots objective ...€¦ · answers 1 chapter 1 squares,...

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