Vedanta Excel in Mathematics Book 7 Final (2079)

Answers

M N
3
5
b) {3, 5, 6, 9, 10, 12, 15, 20} 6 9 10 15
12
20

A Bishnu B
c) {Maria, Rahim, Bishnu, Kishan, Dorje} Maria Kishan

Rahim Dorje EF
3 14
C D
4 8 24 e) {1, 2, 3, 4, 6, 8} 6 28

d) {4, 8, 12, 16,20, 24, 32}
12 16
20 32

14. a) A = {2, 4, 6, 8} and B = {3, 6, 9} A 6 B
Set of common elements = {6} 2 3

4 9
8

b) C = {6,12, 18, 24, 30, 36, 42, 48} and D = {8, 16, 24, 32, 40, 48} C1320 36168 24 8D
48 16
Set of common elements = {24, 48} Q
P 32

c) P = {1, 2, 4} and Q = {1, 2, 3, 6} 4 13 42 40
Set of common elements = {1, 2} 26 Y
X
1
d) X = {1, 2, 3, 4, 6, 12} and Y = {1, 2, 3, 6, 9, 18} 4 2 9

Set of common elements = {1, 2, 3, 6} 12 3
6 18

15. Complete your project work and compare with your friends. Then, discuss in the class.

2. Operations on Whole Numbers

Creative Section Exercise - 2.1

5. a) Two arab fifty-six crore twenty-eight lakh eighty thousand rupees; Two billion five hundred sixty-two

million eight hundred eighty thousand rupees.

b) Seven arab ninety crore fifty-one lakh thirty thousand four hundred; Seven billion nine hundred five

million one hundred thirty thousand four hundred.

c) Sixteen kharab forty-seven arab rupees; one trillion six hundred forty-seven billion rupees.

6. a) 6,84,91,47,05,340; 684,914,705,340 b) 37,815,668,521; 37,81,56,68,521

7. a) 5 × 107 + 2 × 106 + 6 × 104 + 3 × 103 + 7 × 102 + 9 × 100

b) 4 × 108 + 8 × 105 + 1 × 103 + 5 × 102 + 3 × 101

c) 7 × 109 + 5 × 108 + 2 × 106 + 6 × 105 + 4 × 101 + 8 × 100

d) 2 × 1010 + 3 × 109 + 9 × 108 + 6 × 104 + 8 × 103 + 4 × 102 + 7 × 100

8. a) One crore sixty lakh (Sixteen million)

b) Four crore seventy-five lakh (Forty-seven million five hundred thousand)

c) Three arab forty crore (Three billion four hundred million)

d) Five arab thirteen crore (Five billion one hundred thirty million)

e) Two million seven hundred thousand (Twenty-seven lakh)

f) Six million nine hundred ninety thousand (Sixty-nine lakh ninety thousand)

g) Seven billion two hundred million (Seven arab twenty crore)

h) Eight billion three hundred sixty million (Eight arab thirty-six crore)

9. a) 750000 Seven hundred fifty thousand (Seven lakh fifty thousand)

b) 1915000000 One billion nine hundred fifteen million (One arab ninety-one crore fifty lakh)

c) 62500000 Six crore twenty-five lakh (Sixty-two million five hundred thousand)

d) 2520000000 Two arab fifty-two crore (Two billion five hundred twenty million)

10. a) Rs 32,40,000 Thirty-two lakh forty thousand rupees

b) Rs 67,500,000 Sixty-seven million five hundred thousand rupees

11. and 12. Please complete your project works and compare with your friends. Then discuss in the class

and show to your teacher.

299Approved by Curriculum Development Centre, Sanothimi, Bhaktapur Vedanta Excel in Mathematics - Book 7

Answers

Creative Section Exercise - 2.2

3. a) 3 b) 3 c) 4 d) 6 e) 12 4. a) 6 b) 10 c) 18 d) 6 e) 7 f) 15 g) 16 h) 24

5. a) 6 b) 4 c) 6 d) 13 e) 3 f) 15 g) 13 h) 24 6. a) 15 b) 30 c) 8

d) 42 e) 60 7. a) 10 l b) 12, 4 apples, 5 bananas, 8 guavas 8. a) 4 ft. b) 1m 40 cm

9. a) 18 classmates, 3 snickers, 4 kit kats, 5 cadburies b) 8 arrangements, 7 orange, 5 maroon,

3 white colour c) 25 people, 2 sweaters, 3 kambals, 4 jackets d) 7 fruits, 14 heaps 10. a) 38 b) 130

Creative Section Exercise - 2.3

3. a) 6 b) 12 c) 12 d) 18 e) 24 4. a) 18 b) 36 c) 36 d) 42 e) 24 f) 72 g) 150 h) 210

5. a) 24 b) 42 c) 90 d) 60 e) 48 f) 120 g) 180 h) 360 6. a) 48 b) 150

7. a) 60 l b) 4 m c) 4800 km 8. a) 7 : 00 a.m. b) 6:00 p.m. 9. a) 200 b) 40 10. a) 65 b) 52

11. a) 175 b) 100 12. and 13. Please complete your project works and compare with your friends.

Then discuss in the class and show to your teacher.

Creative Section Exercise - 2.4

3. a) 2025 b) 7744 c) 15376 4. a) Yes b) No c) Yes d) No e) Yes

5. a) 8 b) 10 c) 12 d) 18 e) 28 f) 35 6. a) 14 b) 16 c) 21 d) 35 e) 64 f) 158

7. a) 56 b) 7 c) 1156 d) 2156 e) 2 3 f) 6 5 g) 14 2 h) 6 2 i) 6 5 j) 10 3 k) 360 2
8
78 190 c) 1143 d)
8. a) 9 b) 9 c) 6 9. a) b) 6 e) 7
5 4

10. a) 0.4 b) 0.9 c) 1.2 d) 1.4 e) 1.8 11. a) 625 b) 2025 c) 900 m2

d) 29

12. a) 20 b) 25 m c) 65 d) 115 13. a) (i) 2 (ii) 3 (iii) 5 (iv) 7 (v) 5

b) (i) 2 (ii) 5 (iii) 3 (iv) 6 (v) 21 14. a) 900 b) 144

15. a) 4 b) 44 c) 23 d) 25

16. and 17. Please complete your project works and compare with your friends. Then discuss in the class

and show to your teacher.

Creative Section Exercise - 2.5
2. a) 216 b) 512 c) 729
d) 1728 e) 15625 3. a) 287 b) 2674 c) 1825 d) 732439 e) 125
4. a) 4 b) 8 c) 9 64
23 b) 54 c) 5 172 e) 8
d) 10 e) 18 5. a) 6 d) 15

6. a) 0.2 b) 0.3 c) 0.5 d) 0.7 e) 1.1 7. a) 15 b) 14 c) 35 d) 10 e) 20

f) 6 g) 15 h) 6 i) 10 8. a) 216 cm3 b) (i) 729000 cm3, (ii) 729 l

9. a) 8 cm b) (i) 343000 cm3 (ii) 70 cm c) 2 m 10. a) Yes b) Yes c) No d) Yes e) No

11. a) (i) 3 (ii) 4 (iii) 6 (iv) 5 b) (i) 2 (ii) 3 (iii) 4 (iv) 5 12. a) 216 b) 216

13. and 14. Please complete your project works and compare with your friends. Then discuss in the class

and show to your teacher.

3. Integers

Exercise - 3.1

Creative Section

4. a) (i) (+8) (ii) (+10) (iii) (+7) (iv) (+5) (v) (+2) b) (i) (+6) (ii) (+3) (iii) (–1) (iv) (–5) (v) (–8)

5. a) 4 b) 6 c) 10 d) 3 e) –3 f) –2 6. a) (ii) 5 km b) 19880 m c) 18°C

7. a) Loss of Rs 72 b) Profit of Rs 175

Exercise - 3.2

Creative Section

3. Please show the operations in number lines yourself a) 7 b) 3 c) –4 d) –11 e) 7 f) –9 g) 11 h) 1

4. a) 11 b) 5 c) 0 d) –2 e) –6 f) 6 g) –3 h) –12 i) –9 j) –2

5. a) 10 b) 4 c) –3 d) –9 6. a) 11 b) 2 c) 5 d) –4 7. a) 20 b) –35 c) 35 d) 8

8. a) –10 b) –15 9. a) –1°C b) Loss of Rs 130 c) 20

Exercise - 3.3

Creative Section

5. Please show the operations in number lines yourself. a) 6 b) –8 c) –10 d) 12 e) 3 f) –2 g) –5 h) 3

6. a) 30 b) –28 c) –27 d) 80 e) 8 f) –3 g) –4 h) 7

Vedanta Excel in Mathematics - Book 7 300 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Answers

7. a) –30 b) 40 c) 48 d) 72 e) –24 f) –50 g) 24 h) –48 i) –40 j) 120

8. a) (+77) b) (+270) c) (–40) d) (+180)

9. a) –8 b) –6 10. a) –5 b) –4 11. a) 35 b) 60 c) Rs 120 profit

12. a) (i) 40 (ii) 60 (iii) Group – B by 20 marks b) (i) 16 (ii) 2

13. Please complete your project works and compare with your friends. Then discuss in the class.

Exercise - 3.4

Creative Section

2. a) 2 b) 6 c) 28 d) –6 e) 15 f) 66 g) 7 h) 2 i) 3 j) 6 k) 5 l) 55

3. a) 77 b) 20 c) 24 d) 12 e) 4 f) 6 g) 5 h) 12 i) 3 j) 28

4. a) Rs 3,975 b) 7 c) 3 d) Rs 387 5. a) Diyoshana

6. and 7. Please complete your project works and compare with your friends. Then discuss in the class.

4. Rational Numbers

Creative Section Exercise - 4.1

5. Answer the questions yourself and show to your teacher.

6. a) 5 , 9 b) 9 , 147 c) 15 , 249 d) 0.3 , 0.4 e) 0.5, 0.375
2 4 2 2 g) 1.307692
7. a) 0.5 b) 0.6 c) 1.375 d) 0.6 e) 0.7
f) 0.714285

8. and 9. Please complete your project works and compare with your friends. Then discuss in the class.

5. Fraction and Decimal

Creative Section Exercise - 5.1
3. a) 1152
g) –1118 b) 414 c) 1412 d) 2125 4. a) 43 b) 1 1 c) 7 d) – 1 e) 1 f) 3 5
20 8 24 6 12
h) 113 81 j)2 1 k)1 65 11 8 11
i) 2 10 l) 6 24 5. a) 10 , 15 , Bhurashi b) first pipe

6. a) 634 kg b) 275 17 km 7. a) 3 cm b) Pinky, 1 kg c) 3 GB 8. a) (i) 31 parts
20 10 2 4 40

(ii) 9 parts (iii) first pipe b) (i) 1 part (ii) Pratik c) (i) 1 part (ii) Daughter
40 4 8
Exercise - 5.2
Creative Section
7 21 c) 4 1 e) 343 f) 412 g) 12 h) 110 i) 32 j) 313 k) 113 l) 45
3. a) 12 b) 9 d) 2

m) 221 n) 132 4. a) Rs 65 b) Rs 288 c) 75 cm d) 300 m e) 750 g f) 240 students

5. a) Rs 5 b) Rs 70 c) 50 d) 16 cm e) 450 m f) 80 ml 6. a) 221 b) 115 c) 16 d) 1212 e) 23

f) 1254 g) 2110 h) 1127 7. a) 10 b) 1 c) 23 d) 29 e) 1210 f) 254
8. a) (i) Rs 16,000 (ii) Rs 12,000 b) (i) Rs 29,250 (ii) Rs 3,250 (iii) Rs 19,500

9. a) Rs 630, Rs 378 b) 42 c) Rs 2,500 d) (i) Rs 40,000 (ii) Rs 1,44,000 e) (i) 1200 (ii) 300

(iii) 45 10. a) (i) 14135 m (ii) 1253245 m2 b) 10112 m, 62081 m2 11. a) 100 km
b) 55 l c) 48 d) 27 e) 2 hours f) 4 12. a) 14 hours b) 3 kg or 600 g c) 9
d) 8 days 5
13. a) (i) 190 (ii) 9,000 l b) 600 MB, 1800 MB

14. and 15. Please complete your project works and compare with your friends. Then discuss in the class

and show to your teacher.

Creative Section Exercise - 5.3

3. Answer the questions and discuss in the class. Then show to your teacher.

4. a) 1.5 b) 0.6 c) 1.2 d) 0.83 e) 1.8 f) 0.5 g) 0.571428 h) 0.72

5. a) (i) 0.0002, 0.002, 0.02, 0.2 (ii) 0.025, 0.05, 0.2, 0.25 b) (i) 0.3, 0.03, 0.003, 0.0003

(ii) 0.54, 0.5, 0.4, 0.054 6. a) 3.3, 33.3, 333.3 b) 5.5, 55.5, 555.5 c) 1.6, 16.6, 166.6

d) 2.083, 20.83, 208.3 e) 8.181, 81.81, 818.181 f) 4.86486, 48.6486, 486.486

7. a) 130 b) 170 c) 245 d) 210 e) 18 f) 1125 g) 94 h) 79 i) 1383 j) 343 k) 8 l) 12
37 37

301Approved by Curriculum Development Centre, Sanothimi, Bhaktapur Vedanta Excel in Mathematics - Book 7

Answers

Creative Section Exercise - 5.4
3. a) 0.958 b) 1.564
c) 1.046 d) 14.76 e) 137.335 f) 0.122 g) 5.175 h) 4.995 i) 25.675

4. a) 0.31 b) 0.04 c) 163.34 d) 1.35 e) 8.74 f) 90.909 5. a) 6.3 b) 5.183 c) 18.688
c) Rs 137.40 d) choose yourself
d) 1.54 6. a) Rs 191 b) Rs 286

7. a) 13.8 cm b) 17.4 cm c) 15.1 cm 8. a) Rs 17.15 b) Rs 36.69 c) Rs 327.41

Creative Section Exercise - 5.5

4. a) 15 b) 3.304 c) 1.8306 d) 0.0465 e) 3.56 f) 43.8 g) 9.6 h) 3.4

5. a) 17.25 b) 1.93 c) 12.205 d) 3.976 e) 7 f) 2.4 g) –8 h) 0.9 i) 8.46 j) 12.4

6. a) (i) 45 mm (ii) 93 mm (iii) 4 mm b) (i) 0.2 cm (ii) 0.7 cm (iii) 1.8 cm

7. a) (i) 120 cm (ii) 360 cm (iii) 50 cm b) (i) 0.07 m (ii) 0.72 m (iii) 1.8 m

8. a) (i) 1600 m (ii) 4320 m (iii) 990 m b) (i) 0.004 km (ii) 0.045 km (iii) 0.84 km

9. a) (i) 1800 g (ii) 7350 g (iii) 50 g (iv) 480 g b) (i) 0.05 kg (ii) 0.2 kg

(iii) 1.26 kg (iv) 2.575 kg 10. a) (i) 2300 ml (ii) 4550 ml (iii) 75 ml (iv) 125 ml

b) (i) 0.005 l (ii) 0.02 l (iii) 0.35 l (iv) 1.59 l 11. a) Rs 1,163.40 b) Rs 75.50

12. a) 18.56 cm2, 18 cm b) 7.29 cm2, 10.8 cm c) 10.75 cm2, 13.6 cm d) 10.24 cm2, 12.8 cm

13. a) (i) 202.46 m (ii) 2464.56 m2 b) (i) 202 m, 2550.25 m2 c) (i) 25.5 m (ii) 124.5 m

d) 36.8 m, 1354.24 m2 14. a) 1250 b) 250 c) 85

15. Please complete your project works and compare with your friends. Then discuss in the class.

6. Ratio and Proportion
Exercise - 6.1

Creative Section
4. Answer the questions and discuss in the class. Then, show to your teacher.

5. a) 2 : 3 b) 4 : 5 c) 1 : 3 d) 1 : 2

6. a) 5 : 4 b) 10 : 1 c) 4 : 3 d) 3 : 8 e) 8 : 3 f) 3 : 10

7. a) 1 : 2 < 3 : 4 b) 2 : 5 > 1 : 3 c) 2 : 3 < 5 : 6 d) 4 : 7 > 3 : 8 e) 7 : 9 > 5 : 8 f) 7 : 12 > 4 : 9

8. a) (i) 2 : 5 (ii) 3 : 5 (iii) 2 : 3 b) (i) 4 : 5 (ii) 4 : 9 (iii) 5 : 9 9. a) Mathematics b) Geography

10. a) 32 b) 35 c) 16 d) 40 11. a) 24 b) 24 years c) income = Rs 19,440 and expenditure = Rs 15,120

12. a) (i) 12 ft. (ii) 60 ft. (iii) 216 sq. ft. b) perimeter = 256 m and area = 3840 sq. m.

13. a) Rs 26, Rs 39 b) Rs 112 kg, 80 kg c) boys = 20, girls = 12 d) son = Rs 10,000,

daughter = Rs 15,000 e) Pratik = Rs 49,000, Debasis = Rs 35,000 f) male = 16, female = 12

g) adult = 4530, children = 5436 h) gold = 110 g, silver = 90 g

14. a) 36°, 54° b) 54°, 126° c) 40°, 60°, 80° 15. a) 2 : 3 b) 5 : 2 16. a) 30, 60, 120 b) 100, 80, 60

17. and 18 Please complete your project works and compare with your friends. Then discuss in the class and
show to your teacher.

Exercise - 6.2

Creative Section
4. Answer the questions and discuss in the class and show to your teacher.

5. a) Yes b) Yes c) No 6. a) 9 b) 28 c) 24 d) 40 e) 12 f) 6 g) 10 h) 7 i) 45

7. a) (i) 12 (ii) 21 (iii) 40 (iv) 45 b) (i) 12 (ii) 49 (iii) 25 (iv) 36

c) (i) 9 (ii) 7 (iii) 8 (iv) 6 d) (i) 2 (ii) 7 (iii) 9 (iv) 8

8. a) Rs 384 b) 550 km c) 3 GB d) 40 MBps e) 9 packets f) 15 kg

9. a) 20 min b) 14 days c) 17 kg d) 16 kg

10. a) 15 workers b) 15 workers c) 300 men d) 25 days

11. a) 5 b) 3 12. a) 3 b) 18 13. a) 40 days b) 12 hours c) 50 soldiers

14. and 15. Please complete your project works and compare with your friends. Then discuss in the class
and show to your teacher.

Vedanta Excel in Mathematics - Book 7 302 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Answers

7. Unitary Method
Exercise - 7.1

Creative Section
4. Answer the questions and discuss in the class and show to your teacher.

5. a) (i) Rs 900 (ii) 4 l b) (i) 55 km/hr (ii) 440 km c) (i) 540 km (ii) 6 l d) (i) Rs 35,000

(ii) 11 months 6. a) Rs 3,852 b) Rs 3,34,800 c) Rs 3,900

7. a) (i) Rs 432 (ii) Rs 1,296 b) Rs 20,000 8. a) (i) 90 m2 (ii) Rs 8,910

b) Rs 11,325 9. a) 50 dollars b) Nepali Currency Rs 11,920 10. a) (i) Rs 60,000 (ii) Rs 40,000

b) Rs 2,45,000 c) (i) Rs 12,000 (ii) Rs 4,500 11. a) (i) 10 MB per second (ii) 3 minutes

b) 5.4 GB 12. a) 6 minutes b) 2 minutes c) 25 days d) 8 days

13. a) (i) 3000 days (ii) 75 days b) 36 days 14. a) 1 hour b) 6 more workers

15. a) (i) Rs 750 (ii) 5 quintals b) 2550 words, 150 minutes c) 2 days

16. Please complete your project works and compare with your friends. Then discuss in the class and show

to your teacher. 8. Profit and Loss

Creative Section Exercise - 8.1
4. a) 8%
b) 5% c) Rs 36, 10% d) Rs 35, 5% e) Rs 665 f) Rs 582 5. a) Rs 28
b) Rs 162
7. a) Rs 120 c) Rs 72, Rs 972 d) Rs 105, Rs 1,395 6. a) Rs 200 b) Rs 350

(ii)297% b) Rs 260 c) Rs 300 d) Rs 500 8. a) Rs 60, 25% b) (i) Loss Rs 20

c) (i) Rs 64 per kg (ii) 25% d) Rs 31.50 per kg (ii) 10%

9. a) (i) Rs 72 (ii) Rs 792 b) (i) Rs 130 (ii) Rs 3,120 c) Rs 6,250 d) Rs 1,55,200

10. a) Rs 200 b) Rs 1,400 11. a) Rs 12 b) 10% c) 1% loss 12. a) 5% profit b) 11% loss

13. Please complete your project works and compare with your friends. Then discuss in the class and show

to your teacher.

9. Laws of Indices

Creative Section Exercise - 9.1

3. Answer the questions yourself and discuss in the class and show to your teacher.

4. a) 32 > 23 b) 34 > 43 c) 25 > 52 d) 210 > 102 e) 45 > 54 f) 35 > 53

5. a) 24 b) 33 c) 27 d) 73 e) 54 f) 202 g) 25 × 33 h) 32 × 53
h) 362
6. a) 62 b) 102 c) 63 d) 152 e) 142 f) 212 g) 103

7. a) 2 × 102, 2 × 103, 2 × 104, 2 × 105 b) 5 × 103, 5 × 104, 5 × 105, 5 × 106

8. a) 26 b) 212 c) 314 d) 511 e) (3a)5 f) 4 4 9. a) 24 b) 35 c) (2x)6 d) (3a)7
71 c) (51a)3 d) 41p e)
e) 34 f) 26 g) 4 5 h) 2 4 10. a) 1 b) 57 1 f) 1
5 3 35 24 33

g) 1 h) 1 11. a) 2 b) 5 c) 32 d) 94 e) 287 f) 287 12. a) a3 b) p7 c) x2
52 73

d) y2 e) 2x4 13. a) 26 b) 312 c) 56 d) 36 e) 212 f) 1 g) 1 14. a) 2 b) 3
215 38
c) 81 d) 1 e) 4 f) 100 15. a) 1 b) 1 c) 1 d) 1 e) 1 f) 1

16. a) (i) 1 (ii) 2 (iii) 27 b) (i) 125 (ii) 729 (iii) 4 c) 11 d) 20

17. Verify yourself and show to your teacher.

18. Please complete your project works and compare with your friends .Then discuss in the class.

10. Algebraic Expressions

Creative Section Exercise - 10.1

3. Answer the questions yourself and discuss in the class and show to your teacher.

4. Monomial Binomial Trinomial

c) xyz j) – 6x2 l) 64 a) x2y + xy2 b) 9 – x2 d) pq + p + q f) a2 + a + 1 g) 3x2 + 7xy + 6y2
2 y2 e) x2 + y2 i) x2 + x h) 3x + xy – 8y2 k) 1 + x + xy

303Approved by Curriculum Development Centre, Sanothimi, Bhaktapur Vedanta Excel in Mathematics - Book 7

Answers

5. a) Yes b) No c) Yes d) No e) Yes f) No g) No h) Yes

6. a) 2 b) 2 c) 4 d) 2 e) 3 f) 4 g) 4 h) 6 i) 8

7. a) (i) 24 (ii) 48 (iii) 20 (iv) 40 (v) 36 (vi) 216 8. Verify yourself and show to your teacher.

Creative Section Exercise - 10.2

3. Answer the questions yourself and discuss in the class and show to your teacher.

4. a) 7x + 11y b) 4ab + 5bc c) 3at2 – at d) p3q2 + p2q3 e) 5t + 3tz – 6 f) 7x – y – 5

g) 2a + 7b + 1 h) 6x2 + 5x – 3 i) 4a2 + 7ab + 2b2 j) a2 + b2 + c2 + 2ab + 2bc + 2ca

5. a) 3pq b) 7x2y c) 8ab d) –5a2b3 e) 2m + 4n f) –2p2 + 8q2 g) 2x + 2y h) a – 2b

i) 2x2 + 8x – 9 j) 3y3 + 2y2 – 2y + 5 k) –6a3b3 + a2b2 – 7ab – 3 l) 3.6x4 + 12.1x3 – 0.9x2 + 1.8x + 0.9

6. a) 8x – 7y b) 5a + 5b c) 6x2 – 7y2 d) 3a2 – 2a – 2 e) 8p2 – 5p + 3 f) 3x2 – 3y2 g) 7a + 2b

h) 5p + 3q i) 4x – 6y j) 6a2 + 2b2 – 3c2 7. a) 4xy b) 2ab – 2bc – 2ca c) 5x2y d) 2p2 + 5p + 3

8. a) –5a2 + 4a – 3 b) x2 + 5x – 6 9. Verify yourself and show to your teacher.

10. Please complete your project work and compare with your friends and show to your teacher.

Creative Section Exercise - 10.3

4. a) 6x4 b) 12x4 c) –10a2b2 d) 15p2q3r2 e) 3m3n3 f) 24x3y2z2

5. a) 2x2 +4x b) 6x2 – 10x c) 6p3 - 3p d) –3p3 + 6p2 – 9p e) –6t4 – 3t3 + 6t2 f) x3yz – xy3z – xyz3

6. a) x2 + 5x + 6 b) 2x2 – x – 15 c) 3x2 + 4xy + y2 d) 4a2 – b2 e) x3 + y3

f) a3 – b3 7. a) a2 + 2ab + b2 b) a2 – 2ab + b2 c) a2 – b2 d) x2 + 5x + 6

e) y2 – y – 20 f) 6a2 + 7a – 20 g) 4p2 + 5p – 6 h) 6c2 – 13cd + 6d2 i) x2 – y2

j) 4x2 – 9y2 k) 49m2 – 9n2 l) x3 + 4x2 + 7x + 6 m) 2x3 – 10x2 + 17x – 15

n) a3 + b3 o) x3 – y3 8. a) mn b) ax + bx c) px + py

d) 6a2 + 2ab e) 2a2 + 3ab + b2 f) 24x2 + 14xy + 2y2 9. a) (8x2 + 10xy – 3y2)sq. m.

b) (6x2 – xy – y2)sq. m. c) (i) (15 ab + 10a – 9b – 6) sq. m. (ii) 35 sq. m.

d) (i) (35p2 – 11pq – 6q2) sq. m. (ii) 741 sq. m. 10. Verify yourself and show to your teacher.

11. Please complete your project works and compare with your friends and discuss in the class.

Creative section-A Exercise - 10.4

3. a) x2 + 4x + 4 b) x2 + 6x + 9 c) x2 + 2xy + y2 4. a) x2 + 2x + 1 b) x2 + 4x + 4

c) x2 + 6x + 9 5. a) x2 + 6x + 9 b) x2 – 8x + 16 c) 4y2 + 12y + 9

d) x2 – 10xy + 25y2 e) 36m2 – 60mn + 25n2 f) 16x2 + 24xy + 9y2 g) a4 + 2a2x2 + x4

h) x2 + 2 + 1 i) y2 – 2 + 1 j) a2 – 1 +91x421a 2 f) 6. a) a2 + 6a + 9 b) 4a2 – 20a + 25
c) x2 y2 9x2 + 2 +
4x2 + 12xy + 9y2 d) 4t2 + 2 + 1 e) c4 – 2c + 1
4t2 c2

7. a) a2 + b2 b) p2 + q2 c) x2 d) 9m2 e) 2a2 + 2t2 f) 4xy g) –24xy h) 80bc i) –60ab

8. a) (x + 3)2 b) (x – 4)2 c) (2a + b)2 d) (p – 3q)2 e) (2x + 3y)2 (f) (5x – 4y)2

g) (7a – 3b)2 h) x + 1 2 i) 2p – 1 2
x 2p

9. a) 2,401 b) 2,601 c) 9,801 d) 10,201 e) 9,98,001 f) 10,02,001

10. a) 5 b) 25 c) 13 d) 53 11. a) 14, 12 b) 23, 21 c) 11, 13 d) 38, 40

12. Please complete your project works and compare with your friends and discuss in the class.

Creative section-A Exercise - 10.5

3. a) x2 – 4 b) x2 – 9 c) a2 – 25 4. a) x2 – 4 b) a2 – 9 c) 4p2 – 9 d) 4a2 – 25b2

e) x2 – 1 f) y2 – 4 g) x4 – y4 h) x4 – 81
4 9

5. a) a4 – 1 b) x4 – 16 c) p4 – 81 (d) x4 – y4 e) a4 – 16y4 f) 16x4 –81y4

6. a) 99 b) 1,599 c) 2,496 d) 9,996

7. a) 0.6 b) 0.7 c) 4 d) 7.1 e) 0.4 f) 0.015

8. and 9. Please complete your project works and compare with your friends .Then discuss in the class.

Creative section-A Exercise - 10.6

4. a) 2x2 b) 4 c) 2 d) 4a2b e) 6xy3 f) -4pq g) 5-5 m5n2 h) 4a2t3 i) 7a
e) 4x2 – + f) 2m2 – 3m – 4
5. a) 2x+3 b) 2a2 – 3a c) 5y2 – 6y d) 1+2p – 3p2 3x

g) 2a3b2 – 3a2b3 + 4ab h) 7 – 5xy2 – 4x2y i) 5pq – 6p2 – 4q2 j) 4x2y2z2 + 3xyz – 2

6. a) a - 2 b) a + 2 c) 3x - 1 d) 3x + 1 e) x + 3 f) x + 2

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g) y + 4 h) y – 4 i) p – 5 j) p – 8 k) 4m – 3 l) 5m – 2
m) 2x + 3 n) 3x – 4
c) (x + 4) cm d) (x – 5) m o) 2p + 3q p) 4p – 5q 7. a) 2x – 3 b) x – 8
c) a3 – a2b + ab2 – b3
f) a4 + a3b + a2b2 + ab3 + b3 8. a) 2x4y4 9. a) x2 – 4x – 6 b) x2 – 4x + 5
b) (x + 4)m, 19m, 7m, 133m2
d) a3 + a2b + ab2 +b3 e) a4 – a3b + a2b2 –ab3 + b3

g) x4 + x2y2 + y4 h) x3 + y3 10. a) (x – 7)m, 5m, 3m, 15m2

11. a) x + 5, 200, 20, 10 b) x + 8, 1036, 37, 28

12. Please complete your project works and compare with your friends .Then discuss in the class.

Creative section Exercise - 10.7

5. a) 2x (a +b ) b) 2xy (x – y) c) 2ab (x – y) d) 3mx ( x – 2) e) ax (x + a – 1)

f) 2x3y3(2x2y – xy2 – 4) g) (x – y)(a + b) h) (a + b) (x – y) i) (x – y) (2x + y)

6. a) (a + b) (x + y) b) (m + n) (a + b) c) (y + z) (x + y) d) (3a – b) (x – y) e) (4a – 3b) (x – 2y)

f) (x – z) (x + y) g) (ab + c) (a – bc) h) (ab + c) (ac – b) i) (x + a) (x + 4)

7. a) (a + 2) (a – 2) b) (x + 3) ( x – 3) c) (m + 4) (m – 4) d) (p + 5) ( p – 5)

e) (2a + 3b) (2a – 3b) f) (5x + 6y)(5x – 6y) g) (7p + 9q)(7p – 9q) h) (8b + 3c) (8b – 3c)

i) (10m + 7n)(10m – 7n) j) 2(2xy + 3) (2xy – 3) k) 3(5ab + 3xy)(5ab – 3xy) l) 5a (4a + b) (4a – b)

8. a) (a2 + 4) (a + 2) (a – 2) b) (x2 + 9) (x + 3) (x – 3) c) (y2 + 25) (y + 5) (y – 5)

d) (4p2 + q2) (2p + q) (2p – q) e) (9m2 + n2) (3m + n)(3m – n) f) (x2 + 4y2) (x + 2y) (x – 2y)

g) (a2 + b2) (a + b) (a – b) h) (4p2 + 9q2) (2p + 3q) (2p –3q)

9. a) (x + 1) (x + 2) b) (a + 3) (a + 4) c) (p + 2) (p + 4) d) (x + 2) (x + 5) e) (y – 3) (y – 5)

f) (x – 4) (x – 5) g) (m – 2) (m – 7) h) (b – 5) (b – 6) i) (x – 5) (x + 3) j) (x – 7) (x + 4)

k) (a + 6) (a – 2) l) (x + 8) (x – 3)

10. a) 130 b) 840 c) 1800 d) 200 e) 440 f) 2600 g) 399 h) 6,399 i) 9,999

11. and 12. Please complete your project works and compare with your friends .Then discuss in the class.

Creative section Exercise - 10.8

3. a) 34xa b) 2yz c) x2y2 d) 3a e) 2x32y2 f) xy
3 3a2b 2b ab
5x3 3b y2 d) 34bayx3 1 cz
4. a) 2y3 b) 5a c) a2 e) xyz f) xy

11. Equation, Inequality and Graph

Creative Section Exercise - 11.1

5. Answer the questions yourself and show to your teacher.

6. a) x = 2 b) x = 3 c) x = 6 d) x = 7 e) x = 2 f) x = 1 g) x = 3 h) y = 8 i) x = 5 j) x = 4

7. a) x = 6 b) x = 18 c) x = –16 d) x = 10 e) x = 12 f) x = 6 g) x = 7 h) x = 5 i) x = 7 j) x = 2

k) x = 9 l) x = 5 m) x = 5 n) x = 2

8. a) Rs 200 b) Rs 500 c) 300 kg d) 300 km e) Rs 500 f) 400 students

9. a) 50 kg b) Rs 80 c) Rs 100 d) 40 km e) Rs 100 f) Rs 300 g) 200 h) Rs 600 i) 500
1 i) n = 6
10. a) x = 2 b) x = 1 c) x = 12 d) x = 12 e) x = 3 f) x = 1 g) x = 1 h) x = 2

11. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 11.2

Creative Section

2. a) 15 b) 24 c) 38 3. a) 40°, 50° b) 14 c) 15, 18 d) 16, 18 4. a) 11, 12 b) 16, 18

c) 5, 7 d) 9, 11, 13 5. a) 13, 22 b) 12, 8 c) 9, 6 d) Rs 60, Rs 40 e) Rs 65, Rs 115

f) Rs 375, Rs 625 6. a) Rs 150 b) 7 c) Rs 1,500 d) 14 years e) 88

7. a) 51 km b) 720 c) Rs 1,000 d) Rs 1,000 e) Rs 2,000

8. a) Rs 260, Rs 390 b) Rs 24,000, Rs 30,000 c) Rs 30,000, Rs 45,000, Rs 75,000 d) 30°, 60°, 90°

e) 36°, 54° 9. a) 60 m b) Rs 2,400 10. a) 30 m, 25 m b) 30 cm, 20 cm c) 40 m, 20 m d) 60 m, 24 m

11. Please complete your project work and compare with your friends and discuss in the class.

12. Please search such types of interesting puzzles and perform in the class.

Exercise - 11.3

Creative Section

3. a) y = 1 b) x = 4 c) y =3 d) x = 4, y = 2 e) x = 2, y = 6 f) x = 3, y = 6

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g) x = 3, y =1 h) x = 4, y = 2 i) x = 3, y = 5 j) x = 4, y = 10 k) x = 8, y = 3

l) x = 4, y = 5

4. a)(i) x + y = 9 (ii) y = 5 b) (i) p + q = 21 (ii) p = 7, q = 14 c) (i) x – y = 3

(ii) x = 9, y = 6 d) (i) x + y = 36 (ii) x = 2y (iii) 24, 12 e) (i) 2(l + b) = 220 (ii) b = 50 m

f) (i) 2(l + b) = 120 (ii) l = 45 m, b = 15 m

5. a) (i) x + 2y = 50 (ii) 34 years b) (i) x + 3y = 51 (ii) 7 years

6. a) 11, 7 b) 22, 17 c) 30, 24 d) 18, 12 7. a) 15, 21 b) Rs 75, Rs 25

8. a) 34 years, 6 years b) 12 years, 8 years c) 36 years, 12 years 9. a) 24 m, 12 m b) 35 m, 25 m

10. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 11.4

Creative Section

3. Answer the questions and show to your teacher.

4. a) x 5 b) x 8 c) –a ≠ –7 d) p – 4 10 e) 12 ≠ y + 4 f) –9 a – 4 g) x + 3 –6 h) y – 5 2

5. a) x < 3, x 3 b) y > –5, y –5 c) –a = –2, –a ≠ –2 d) x + 4 < 6, x + 4 6

e) 10 > p – 9, 10 p – 9 f) p + r < q + r, p + r q + r

Exercise - 11.5

Creative Section

3. Answer the questions and show to your teacher. 4. Draw graph yourself and show to your teacher.

5. a) {0, 1, 2, 3} b) {1, 2, 3, 4, 5} c) {0, 1, 2, 3, 4, 5} d) {0, 1, 2, 3} e) {3, 4, 5}

f) {0, 1, 2, 3, 4} g) {3, 4, 5} h) {0, 1, 2, 3, 4} Draw graph yourself and show to your teacher.

6. a) {…, –1, 0, 1, 2, 3} b) {4, 5, 6, …} c) {…, –1, 0, 1, 2, 3} d) {2, 3, 4, …}

e) {–5, –4, –3, …, 0, 1, 2, …} f) {2, 1, 0, –1, –2, …} g) {–3, –4, –5, …}

h) {6, 7, 8, …} i) {5, 6, 7, …} j) {4, 5, 6, …} k) {1, 0, –1, –2, …} l) {6, 7, 8, …}

m) {–3, –4, –5, …} n) {–5, –4, …, 0, 1, 2, …} o) {–5, –6, –7, …}

p) {0, –1, –2, –3, …} Draw graph yourself and show to your teacher.

7. a) {5, 6, 7} b) {2, 3, 4, 5, 6, 7} c) {–3, –2, –1, 0, 1, 2, 3} d) {0, 1, 2, 3, 4, 5} e) {–2, –1, 0, 1, 2, 3}

f) {–3, –2, –1, 0, 1, 2, 3, 4, 5} Draw graph yourself and show to your teacher.

8. a) (i) 2x + 2 < 12 (ii) {4, 3, 2, 1, 0, –1, …} b) (i) 3x + 7 ≥ –8 (ii) {–5, –4, –3, … 0, 1, 2, 3, …}

c) (i) 4x – 5 ≤ 3 (ii) {2, 1, 0, –1, –2, …} d) (i) 7 – 5x ≥ –3 (ii) {2, 1, 0, –1, –2, …}

e) (i) 5 – x ≤ 4 (ii) {3, 4, 5, …} 9. a) 2x – 2 > x + 1, {4, 5, 6, …}, 2x – 2 > x – 3, {0, 1, 2, 3, …}
3
b) 5x > 3x + 4, {3, 4, 5, ...}, 6x + 4 > 2x, {0, 1, 2, 3, ...}, 5x + 4 > 3x, {–1, 0, 1, 2, ...}

Exercise - 11.6

Creative Section b) x 0 1 3 c) x 0 1 4
3. a) x 0 2 4 y –3 –2 0 y –1 1 7

y2 46

Draw graphs yourself and show to your teacher.

4. Write the values of x of your own choice and find the values of y. Draw the graphs of straight lines
yourself and show to your teacher.

5. Draw tables and write the values of x of your own choice to find the values of y. Draw the graphs of
straight lines yourself and show to your teacher.

6. Please complete your project works and compare with your friends. Then, discuss in the class.

12. Coordinates
Exercise - 12.1

Creative Section
4. Answer the questions yourself and show to your teacher.
5. a) (3, 3) b) (–4, 3) c) (–2, –3) d) (1, –2) e) (3, 0) f) (0, 2) 6. Plot the points in graph papers yourself.
7. Plot the points in graph papers yourself and draw the shapes.
8. Plot the points in graph papers yourself and find the coordinates of the point of intersection of lines so

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Answers

obtained. 9. Complete the given works in graph papers and show to your teacher.

10. and 11. Please complete your project work and compare with your friends and discuss in the class.

13. Transformation

Creative Section Exercise - 13.1

3. Answer the questions yourself and show to your teacher.

4. Complete the drawing yourself and compare with your friends. Then show to your teacher.

5. a) X-axis as axis of reflection: a) (2, –4) b) (5, 3) c) (–2, –8) d) (–1, 7) e) (0, –6) f) (–9, 0)

Y-axis as axis of reflection: a) (–2, 4) b) (–5, –3) c) (2, 8) d) (1, –7) e) (0, 6) f) (9, 0)

6. Draw the images in graph papers and find the coordinates of the vertices of images. Then show to your

teacher.

7. a) X-axis as axis of reflection: a) A'(2, –5), B'(6, –3),C'(4, –8) b) P'(–4, –6), Q'(–3, –4), R'(–1, –2)

c) X'(–6, 4), Y'(–3, 1), Z'(–1, 3) d) E'(2, 7), F'(5, 3), G'(2, 1)

Y-axis as axis of reflection: a) A'(–2, 5), B'(–6, 3), C'(–4, 8) b) P'(4, 6), Q'(3, 4), R'(1, 2)

c) X'(6, –4), Y'(3, –1), Z'(1, –3) d) E'(–2, –7), F'(–5, –3), G'(–2, –1)

8. a) A'(3, –6), B'(2, –4), C'(5, –7) b) P'(–2, –5), Q'(–4, 3), R'(3, 6) c) X'(–2, 7), Y'(4, –8), Z'(–3, –5)

d) K'(5, 4), L'(–2, 6), M'(–3, –3) 9. a) E'(–1, 3), F'(–4, –5), G'(2, –2), E"(1, 3), F"(4, –5), G"(–2, –2)

b) A'(2, 7), B'(–3, 6), C'(–4, –2), A"(–2, 7), B"(3, 6), C"(4, –2) 10. a) A(2, –5), B(5, 0), C(3, –1) b) Y-axis

11. Please complete your project work and compare with your friends and discuss in the class.

Creative Section Exercise - 13.2

3. Draw the images and show to your teacher.

4. a) (–2, 6), (2, –6) b) (–5, –3), (5, 3) c) (7, 1) (–7, –1) d) (9, –4), (–9, 4) e) (5, 0), (–5, 0) f) (0, 8) (0, –8)

5. a) (–2, –1) b) (–3, 4) c) (5, 7) d) (1, –6) e) (0, –6) f) (4, 0)

6. and 7. Draw images in graph papers and find the coordinates of the vertices of images. Then show to

your teacher. 8. a) A'(5, –2), B'(7, 3), C'(–4, –2) b) X'(–8, 7), Y'(–4, –5), Z'(3, 1)

9. a) P'(4, 9), Q'(–1, 6), R'(5, –2) b) E'(–1, –5), F'(3, –6),G'(–4, 2)

10. and 11. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 13.3
1 and 2. Draw the images of the figures after the displacement. Then compare with your friends and show

to your teacher.

3. Please complete your project work and compare with your friends and discuss in the class.

14. Geometry: Lines and Angles

Exercise - 14.1

Complete your work and show to your teacher.

Creative Section Exercise - 14.2

2. Answer the questions yourself and show to your teacher.

3. a) Yes b) Yes c) No d) No 4. a) 30° b) 10° c) 75° d) 62° e) 39°

5. a) 70° b) 45° c) 30° d) 110° e) 135° 6. a) 80°, 100° b) 58°, 122°

c) 36°, 54° d) 50°, 40° e) 150° f) 110°, 70° g) 60° 7. a) 70° b) 105° c) 60° d) 140°

e) 75°, 105° f) 72°, 108° g) 30°, 60°, 90° h) 39°, 81°, 60° i) 50°, 75°, 55°

j) 18°, 36°, 54°, 72° k) x° = z° = 160°, y° = 20° l) a° =x° = 45°, 3a° = y° = 135°

m) 50°, 60°, 70°, 50°, 60°, 70° n) 40°, 88°, 52° o) 2x° = a° = 60°, 3x° = 90°, b° = 40°, 2b° = 80°

p) x° = p° = 40°, (x + 25)° = 65°, (x + 35)° = 75°, q° = 35°, 3q° = 105°

8. Compare your verifications with friends and show to your teacher.

9. a) 67° b) 70° c) 42° d) 10°

10. Please complete your project work and compare with your friends and discuss in the class.

Creative Section Exercise - 14.3

4. Answer the questions yourself and show to your teacher.

5. Identify the given pairs of angles yourself and compare with your friends. Then show to your teacher.

6. a) x°= y° = 45° b) a° = b° = 40°, c° = 140° c) p° = q° = 60°, r° = 120° d) a° = b° = c° = e° = 65°,

d° = 115° e) x° = w° = 70°, z° = 110°, y° = 70° f) a° = 70°, b° = 75°, c° = 105°, d° = 110°, e° = 110°,

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f° = 105° g) x° = y° = w° = 85°, z° = 95° h) x° = y° = 50° i) a° = 145°, b° = c° = 35°

j) x° = y° = 65°, z° = 115° k) a° = 115°, b° = c° = 65° l)b°=30°,a°=25° m)x°=z°=80°,y°=100°

n) w° = 100°, x° = y° = z° = 80° o) x° = 25°, y° = 35°, a° = b° = 120°

p) x° = 55°, y° = z° = 60°, w° = 65°

7. a) x° = y° = 60°, 2x° = 120° b) 135°, 135° c) 115°, 65° d) 123°, 123°

8. a) x° = 60° b) x° = 310° c) y° = 90° d) x° = 120°

9. Compare your verifications with your friends and show to your teacher. f) x° = 80°, y° = 80°

10. a) x° = 30° b) x = 18°

11. Please complete your project work and compare with your friends and discuss in the class.

15. Plane Figures

Exercise - 15.1

Complete the constructions and show to your teacher.

Exercise - 15.2

Creative Section

5. Answer the questions yourself and show to your teacher.

6. Compare your answers with your friends and show to your teacher.

7. a) 63° b) 30°, 60° c) 36°, 54° d) 40°, 80° e) 48°, 60°, 72°

8. a) 75° b) 36°, 108° c) 40°, 50° d) 30°, 60°, 90° e) 50° f) 96° g) 25°, 75°

h) m° = n° = 63° i) x° = y° = 55°, 70° j) a° = b° = 70°, c° = 40° k) x° = y° = 65°, z° = 50°

l) x° = y° = 70°, z° = 110° 9. a) x° = 30°, y° = 35°, z° = 115° b) x° = 56°, z° = 44°, y° = 80°

c) a° = c° = 68°, b° = 62° d) x° = 47°, y° = 64°, z° = 68° e) a° = b° = c° = 58°, d° = 64°
f) x° = 50°, y° = z° = 65° g) x° = 55°, y° = z° = 40° h) a° = b° = 26°, 2a° = 52°

10 and 11. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 15.3

Creative Section

4. Answer the questions yourself and show to your teacher. 5. a) 4 cm b) 3 cm c) 35° d) 30°

e) 4 cm f) 5 cm g) 3 cm h) 5 cm 6. a) 50° b) 45°, 90° c) 30°, 60°, 120°, 150°

d) 45°, 135°, 60°, 120°, e) 48°, 72°, 96°, 144° 7. a) 55°, 110° b) 65°, 130°, 75°

c) 57°, 171°, 62°, 70° d) 35°, 140°, 105°, 80° e) 100°, 80°, 60°, 120° f) 70°, 110°, 36°, 144°
g) 100°, 80°, 85°, 95° h) 50°, 100°, 80°, 40°
8. a) x° = 60°, y° = z° = 120°

b) a° = c° = 70°, b° = d° = 110° c) p° = q° = 50°, r° = s° = 130° d) x° = 15°, y° = 20°, w° = z° = 145°

e) w° = 65°, x° = y° = 55°, z° = 60° f) x° = y° = s° = q° = 75°, p° = r° = 105°

g) x°= y°= z°= a° = c° = 60°, b° = 120° h) x° = y° = 120°

9. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 15.4

Creative Section

3. a) AC = 5 cm b) QR = 8 cm c) XY = 5 cm d) KM = 15 cm

4. a) Yes b) Yes c) No d) No e) Yes f) No

5. a) 24 cm b) 20 cm c) 13 cm

6. a) x = 5 cm, y = 12 cm b) x = 5 cm, y = 10 cm

7. a) 8 m b) 12 m c) Shyam, by 20 m d) (i) 12 m (ii) 15 m

8. Please complete your project work and compare with your friends and discuss in the class.

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16. Congruent Figures

Exercise - 16.1

Creative Section

2. Answer the questions yourself and show to your teacher.

3. a) Congruent b) non-congruent c) non-congruent d) congruent e) congruent f) non-congruent

4. a) XY = 4 cm b) BC = 10 cm c) KN = 3 cm d) RE = 3cm

5. Please complete your project work and compare with your friends and discuss in the class.

17. Perimeter, Area and Volume

Exercise - 17.1

Creative Section

3. a) 13.5 cm b) 12 cm c) 28 cm d) 14 cm e) 16 cm f) 17.5 cm

g) 20 cm h) 28 cm i) 88 cm j) 12 cm k) 23 cm l) 42 cm

4. a) (i) 13.8 cm (ii) 20.5 cm b) (i) 26 cm (ii) 29.6 cm c) (i) 32cm (ii) 57 cm

d) (i) 44 cm (ii) 132 cm 5. a) 53 cm, 26.5 cm (b) 19.5 cm (c) 4.6 cm

6. a) (i) 72 cm (ii) 216 m (iii) Rs 5,400 b) 1.5 km c) (i) 180 m (ii) 180 m (iii) 45 m

7. a) (i) 86 m (ii) 430 m b) (i) 96 m (ii) 288 m (ii) Rs 5,760 c) Rs 8,00,000

8. a) 924 m, 4620 m b) Rs 44,352 c) 49 m d) 42 m

9. a) (i) 120 m (ii) 20 m b) 28 m, 18 m 10. a) 25 cm b) 20 cm 11. a) (i) A (ii) C

b) (i) A (ii) Father chose the garden with the least perimeter to minimize the cost of fencing

12. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 17.2

Creative section

3. a) 63 cm2 b) 156.25 cm2 4. a) (i) 36 cm2 (ii) 225 cm2 b) (i) 36 cm2 (ii) 56.25 cm2

5. a) (i) 196 m2 (ii) 196 m2 (iii) Rs 22,344 b) (i) 36 m (ii) 1296 m2 (ii) Rs 64,800

c) (i) 18 m (ii) 72m (iii) Rs 2,880

6. a) (i) 1440 m2 (ii) Rs 1,29,600 b) (i) 150 m2 (ii) Rs 12,000 c) (i) 32m, 16 m (ii) 512 m2

(iii) Rs 23,040 d) (i) 25 m (ii) 110 m (iii) Rs 11,550

7. a) No b) Circular shape covers more area.

Exercise - 17.3

Complete your works and compare with your friends. Then show to your teacher.

Exercise - 17.4

Creative section

2. a) 150 cm2, 125cm3 b) 162 cm2, 90cm3 c) 470cm2, 600 cm3 d) 96 cm2, 64cm3

3. a) 236 cm2, 240cm3 b) 252cm2, 202.5cm3 4. a) 572 cm3 b) 2805cm3

5. a) 150 cm2, 125cm3 b) 294 cm2, 343cm3 c) 600cm2, 1000cm3 d) 937.5 cm2, 1953.125cm3

6. a) 450cm2, 300cm2 b) 1100cm2, 1000cm2 7. a) 720cm2, 576cm2 b) 1125cm2, 900cm2

8. a) 3cm b) 5.5 cm c) 6 cm d) 9 cm 9. a) 2cm b) 3cm c) 4 cm d) 5 cm

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10. a) 3000 l b) 9216 l c) 7680 l d) 5000 l 11. a) 168 cm2 b) (i) 120m3 (ii) Rs 7,200 c) (i) 6 m
(ii) 36m2 (iii) Rs 1,800 d) 4500 l 12. a) (i) 2m (ii) 8 m3 b) (i) 5 m (ii) 150 m2 c) 6 cm d) 9 cm

13. a) (i) 12cm, 6cm (ii) 288 cm2 b) (i) 14m, 7 m (ii) 98m2 (iii) Rs 4,410

14. a) (i) 6cm (ii) 216cm2 b) 864cm2 15. a) 1m b) 1.5 m 16. a) 10 b) 64

17. Please complete the project works and compare with your friends. Then show to your teacher.

18. Symmetry, Design and Tessellation

Exercise - 18.1

Compare your works with friends and show to your teacher.

Exercise - 18.2

Creative Section

1. Answer the questions yourself and show to your teacher.

2. and 3. Complete the works and compare with your friends. Then show to your teacher.

19. Scale Drawing and Bearing

Exercise - 19.1

Creative Section

4. Complete the drawings and compare with friends. Then show to your teacher.

5. a) 12.8 m b) 85 m c) 12 m, 8 m d) 75 km 6. a) 3.6 cm b) 5 cm c) 6 cm, 5 cm d) 3cm, 2.5 cm

7. a) Kitchen: 6 m × 4 m, Dinning: 6 m × 4 m, Bed room: 6 m × 4 m, Toilet: 6 m × 2 m,
Storeroom: 6 m × 4 m, Living room: 8 m × 6 m, Passage: 4 m × 6 m b) 24 m2 c) 180 m2

8. Please complete your project work and compare with your friends and discuss in the class.

Exercise - 19.2

Creative Section

4. Answer the questions yourself and compare with your friends .Then discuss in the class and show to
your teacher. [Eg. From Kathmandu, the direction of Pokhara is NW.]

5. a) 060° b) 090° c) 125° d) 220° e) 270° f) 315°

6. a) 070° b) 125° c) 240° d) 320° e) 120° f) 050° 7. a) 205° b) 245° c) 267° d) 270°

e) 285° f) 320° g) 30° h) 150° 8. a) 235° b) 264°

20. Statistics

Exercise - 20.1

Answer the questions yourself and show to your teacher.

Please complete your project work and compare with friends. Then, show to your teacher.

Exercise - 20.2

Creative Section

4. a) 14 b) 39 c) 11 yrs d) 6.3 cm e) 5.6 f) 18

5. a) 5 b) Rs 19 6. a) 60 mm b) 24 yrs

7. a) Rs 1400 b) 67.5 8. a) Rs 2700 b) 68

9. a) 85, 35 b) 13 yrs, 15 yrs 10. a) 28° C b) 18 c) 24 yrs

11. Please complete your project work and compare with friends. Then, show to your teacher.

Vedanta Excel in Mathematics - Book 7 310 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

MODEL QUESTION SET Full Marks: 50
Class: 7 Time: 2 hrs.
Subject: Mathematics

Attempt all the questions.

1. The following three sets of students of class 7 based on their roll numbers are formed.

A = {roll numbers of students less than 5}, B = {roll number of student between 7

and 8} and C = {prime roll numbers of students between 10 and 20}.

List the elements of these sets and answer the following questions.

(a) Which of the above sets is the empty set? 1

(b) State with reason whether the sets A and C are equal or equivalent sets. 1

(c) Write any one subset of set-A consisting of only two elements. 1

2. (a) The integer which is 4 units right to (-1) is … 1

(b) In a school Auditorium, there are three types of rows arrangements possible for

watching a program: rows of 30 students in each row or rows of 40 students in

each row or rows of 45 students in each row. What is the least number of students

so that all the students can be accommodated in each of these arrangements? 2

(c) There is a cubical reservoir water tank in Anamika’s house. If the volume of the

tank is 512 cubic meter, find the height of the tank. 2
3. There are 15 students in class 7 who need the school shirt of same size and 231 meter of

cloth is required to make a shirt.

(a) Find the total length of the cloth required to make the shirt to them. 1
(b) How many shirts can be made from a piece of cloth 931 meter long? 2
(c) Convert the length of cloth required for a shirt in decimal. 1

(d) If the length of a piece of cloth is 36.25 meter, how many meters of cloth is left? 1

4. A shopkeeper sold 20 mobile sets of same brand for Rs 3,00,0000 at the same rate in a

week.

(a) What is the selling price of each mobile set? 1

(b) If he bought each mobile set for Rs 12,500, find his profit or loss percent. 2

(c) If each mobile set is 12 cm long, 6 cm broad and 1 cm thick, find the ratio of it

length to the breadth. 1

5. Mr. Sharma had a triangular plot of land having length of edges 40 m, 30.5m and

48.5 m.

(a) What is the perimeter of his plot? 1

(b) If he constructed a circular pond of radius 7 m inside the plot, find the circumference

of the pond. 2

(c) If he built a cuboidal house on his plot with length 20 m., width 18 m. and height

25 m, what is the volume of his house? 1

(d) I f one of the rooms of his house is 10 m long, 6 m wide and 4 m high,
calculate the surface area of the room. 1

6. (a) What is the expanded form of (a +b) 2? 1

(b) The length of a rectangular mat is 3x – y meter and its breadth is 3y – x meter. Find the

area of the mat. 2

311Approved by Curriculum Development Centre, Sanothimi, Bhaktapur Vedanta Excel in Mathematics - Book 7

Model Question Set

7. On the occasion of birthday, Pemba distributed (p2 + 29p – 96) bottles of sanitizer equally
among (p + 32) people of his village.

(a) Find the number of bottles of sanitizer received by each people. 2
(b) If x = 8, find the actual number of bottles of sanitizer, number of people, and share

of each people. 2
8. (a) Write down the inequality represented by the following graph. 1

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

(b) There are 40 students in a class. If the number of boys is 10 more than that of girls,

find the number of boys and girls. 2

9. (a) What is the measure of angle formed by a revolving a line in a complete rotation at

a point? 1
55°


(b) In the given figure, find the measure of ‘a’ and ‘b’. 150° a° 2
b°

(c) Construct a triangle ABC in which AB = 5.6 cm, AC = 4.1 cm and ∠A = 45o. 3
10. (a) Is every rectangle a parallelogram? Give reason. A 1

(b) In the figure, a ladder rest against a vertical wall 20 ft.

at a height of 15 ft. If the foot of the ladder is at a

distance of 20 ft from the wall on the ground, what

is the length of the ladder? Find it. B 15 ft. C2

(c) Draw the net of a tetrahedron. 1

11. (a) The vertices of triangle ABC are A (2, 5), B (-3, 1) and C (4, 0). Reflect the ∆ABC

about y-axis then find the coordinates of image ∆A'B'C'. State whether the ∆ABC and

∆A'B'C' congruent or not. 3

(b) If the bearing of Sujan’s school from his home is 135o, what is the bearing of his

home from the school? Find it. 2

12. The table given below shows the S.E.E. result of a school for last four years.

Year (in B.S.) 2075 2076 2077 2078
‘A+’ grade 10 15 12 14

‘A’ grade 15 10 18 16

‘B+’ grade 5 11 8 10

(a) Draw a multiple bar graph to represent the data. 2
(b) How many students secured ‘A+’ in the last three years? 1

Evaluation System and Specification Grid (Mathematics)
Please! Scan this QR code or
browse the link given below:

https://vedantapublication.com.np/model_questions/evaluation_system_and_
grid_class_6_to_8_mathematics_20220501112718.pdf

Vedanta Excel in Mathematics - Book 7 312 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur