Vedanta C. Math - 4 Re-print Final (2078)

Answers

6. a) (3 + 2) × 5 b) (4 + 3) × 2 c) 4 × (10 – 8) d) 24 ÷ (4 × 2) e) 20 ÷ (7 + 3)

f) (49 – 7) ÷ 7 g) (45 + 18) ÷ 9 h) 3 × ( 6 + 4) ÷2 i) 24 ÷ (6 – 2) × 5

7. a) Rs 7 b) 12 weeks c) 11 students d) 39 chairs e) 12 pencils f) 14 boys
g) 14 m h) Rs 75 8. a) 9 b) 54 c) 4 d) 3 e) 8 9. a) 280 ml b) 48 km
c) 3 km d) Rs 35 e) 35 students f) Rs 2,100 g) 2 sweets

10. Please perform the given project works. Compare your works with your friends.

4. Factors and Multiples
Exercise – 4.1

Section B

5. a) 153 is divisible by 3 and 9 b) 276 is divisible by 3 c) 387 is divisible by 3 and 9

d) 489 is divisible by 3 e) 5967 is divisible by 3 and 9.

6. a) 16 b) 2 4 c) 36
2 × 12 2 × 18
2× 8
2 × 2×6 2 × 2×9
2 × 2×4 2 × 2× 2 × 3
24 = 2 × 2 ×2 × 3 2 × 2× 3 × 3
2 × 2× 2 × 4 36 = 2 × 2 × 3 × 3
16 = 2 × 2 ×2 × 2

d) 30 e) 40 f) 54
2 × 15 2 × 20 2 × 27

2 × 3×5 2 × 2 × 10 2 × 3×9
30 = 2 × 3 × 5
2 × 2× 2 × 5 2 × 3× 3 × 3
40 = 2 × 2 × 2 × 5 54 = 2 × 3 × 3 × 3

7. b) 12 = 2 × 2 × 3 c) 15 = 3 × 5 d) 18 = 2 × 3 × 3 e) 20 = 2 × 2 × 5
h) 28 = 2 × 2 × 7 i) 30 = 2 × 3 × 5
f) 24 = 2 × 2 × 2 × 3 g) 27 = 3 × 3 × 3

j) 32 = 2 × 2 × 2 × 2 × 2 k) 35 = 5 × 7 l) 36 = 2 × 2 × 3 × 3 m) 40 = 2 × 2 × 2 × 5

n) 42 = 2 × 3 × 7 o) 45 = 3 × 3 × 5 p) 48 = 2 × 2 × 2 × 2 × 3

8. a) 4 b) 3 c) 2 d) 4 e) 6 f) 5 g) 4 h) 6 i) 7 j) 6 k) 10 l) 6

9. a) 6 b) 12 c) 20 d) 12 e) 4 f) 6 g) 10 h) 8 i) 18 j) 24 k) 20 l) 40

10. Play with partner and find H. C. F. 11. Play with partner and find L. C .M.

12. Play with partner and find L. C. M.

5. Fraction

Exercise – 5.1

Section B 3 2 3 3 4 4 6 8 12
2 6 4 6 9 142 c) 2 12 16 2 3 4 6 9 12 6 9 16
4. a) 4 , , 8 b) , , 8 , , d) 10 , 15 , 20 e) , , f) 8 , 12 ,

4 6 8 6 9 12 8 12 16 4 6 8 6 9 12 6 9 12
10 15 20 10 15 20 10 15 20 14 21 28 16 24 32 20 30 40
g) , , h) , , i) , , j) , , k) , , l) , ,

5. a) 1 b) 1 c) 1 d) 1 e) 1 f) 31 g) 12 h) 31 i) 32 j) 2 k) 2 l) 4
2 3 4 5 2 3 3 5
1 3 2 6 3 12
6. a) 2 and 6 b) 3 and 9 d) 5 and 20 are equivalent fractions

7. a) 1 b) 1 c) 1 d) 1 e) 1 f) 1 g) 13 h) 31 i) 1 j) 1 k) 1 l) 1
2 3 2 2 3 2 5 4 5 5
1 1 2 2 3 3 4 4 5 6 4 7
8. a) 2 b) 4 c) 3 d) 5 e) 4 f) 5 g) 5 h) 7 i) 6 j) 7 k) 9 l) 8

9. a) 23 b) 3 c) 2 d) 2 e) 3 f) 4 g) 32 h) 3 i) 3 j) 2 k) 3 l) 2
4 3 5 5 5 4 5 3 4 3
2 3 3 4 3 3
m) 3 n) 5 o) 4 p) 5 q) 4 r) 4

249Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 4

Answers

10. a) 2 b) 3 c) 2 d) 2 e) 3 f) 4 g) 2 h) 5 i) 2 j) 3 k) 3 l) 4
3 4 3 5 5 5 3 6 3 4 4 5

11. Please complete the given project works and compare your works with your friends.

Exercise – 5.2

Section B

8. a) b) c) d)

9. a) 3 , 2 b) 4 , 3 c) 5 , 2 d) 10 , 6 e) 2 , 1 f) 2 , 1 g) 6 , 3 h) 3 , 10
6 6 12 12 10 10 15 15 4 4 6 6 8 8 12 12

10. a) Ascending order : 2 , 3 , 4 , 5 Descending order : 5 , 4 , 3 , 2
7 7 7 7 7 7 7 7

b) Ascending order : 1 , 5 , 6 , 7 Descending order : 7 , 6 , 5 , 1
9 9 9 9 9 9 9 9

c) Ascending order : 130, 4 , 7 , 9 Descending order : 9 , 7 , 4 , 3
10 10 10 10 10 10 10

11. a) 1 > 1 b) 2 < 3 c) 1 < 3 d) 1 > 1 e) 1 > 2 f) 2 < 5 g) 3 < 7 h) 1 < 2
2 3 3 4 2 4 4 5 2 5 3 6 5 10 6 9

12. a) 112 b) 221 c) 321 d) 412 e) 131 f) 132 g) 313 h) 114 i) 214 j) 115 k) 252 l) 343

13. a) 3 b) 4 c) 5 d) 5 e) 8 f) 7 g) 13 h) 85 i) 13 j) 16
2 3 3 2 3 4 4 5 5
14. Please complete the given project works and compare your works with your friends.

Exercise – 5.3

Section B

3. a) 54 b) 65 c) 68 4. a) 31 b) 73 c) 130 5. a) 53 b) 56 c) 74 d) 78 e) 89

6. a) 61 b) 27 c) 58 d) 49 e) 130 7. a) 76, b) 190 c) 38 d) 1
3

8. a) 232 b) 212 c) 253 d) 523 e) 335 f) 1 g) 2 h) 1 i) 115 j) 121

9. a) 85 b) 4 or, 32 c) 34 10. a) 72 b) 58 c) 95 11. a) 3 litre b) 170 c) 412 m d) 3
6 5 7

Exercise – 5.4

Section B 3 12 c) 170 d) 172 65 b) 172 c) 170 d) 185 e) 290 f) 3 1 3
34 b) 6 4 2 8
3. a) or 4. a) g) h)

i) 130 j) 59 k) 58 l) 190 m) 190 n) 194 o) 1112 5. a) 61 b) 112 c) 130 d) 125 e) 1 f) 1
4 6

g) 83 h) 130 i) 230 j) 134 6. a) 170 b) 78 c) 230 d) 7 kg
18

7. Please complete the given project works and compare your works with your friends.

Exercise – 5.5

Section B
4. a) 12 12 c) 2 112 e) 23 f) 3 g) 123 h) 43 i) 142 or 112
b) 2 or 1 d) 3 or 1 i) 3

5. a) 2 b) 3 c) 4 d) 2 e) 3 f) 5 g) 2 h) 4

6. a) 21 b) 112 c) 45 d) 13 e) 32 f) 3 g) 61 h) 13 i) 14 j) 230 k) 85 l) 1
4
7. a) Rs 6 b) 3 kg c) Rs 10 d) 5 boys e) 21 students f) 6 l g) 20 km h) Rs 150

vedanta Excel in Mathematics - Book 4 250 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Answers

8. a) 112 b) 170 c) 14 d) 16 9. a) 12 girls b) 30 kg c) Rs 300

d) (i) 80 km (ii) 60 km e) (i) 270 girls (ii) 180 boys

6. Decimal and Percent
Exercise – 6.1

Section B

8. a) 0.7 b) 0.4 c) 0.05 d) 0.26 e) 0.009 f) 0.038

9. a) zero point two b) zero point zero two c) zero point five seven

d) zero point zero zero six e) zero point three zero eight

10. a) 0.5 b) 0.06 c) 0.004 d) 0.32 e) 0.078 f) 0.247

11. a) 2170, 2.7 b) 311060 , 3.16 c) 2 458 , 2.458 d) 4150 , 4.5 e) 6110 , 6.1 f) 113090 , 1.39
1000

g) 512040 , 5.24 h) 1 273 , 1.273 i) 21408050 , 2.485
1000
3 7 25 4 9 f) 1060 g) 13060 9 47 529
12. a) 10 b) 100 c) 1000 d) 10 e) 10 h) 1000 i) 1000 j) 1000

13. a) a = 0.7, b = 1.2, c = 2.4, d = 3.1, e = 4.8, f = 5.9, g = 8.3, h = 13.5

14. a) 0.1 5 b) 0.7 6
= 0.1
tenths tenths = 0.7

hundredths = 0.05 hundredths = 0.06

c) 0.2 8 d) 0.369

tenths = 0.2 tenths = 0.3

hundredths = 0.08 hundredths = 0.06

thousandths = 0.009

e) 0.555 f) 0.819
= 0.5
tenths tenths = 0.8

hundredths = 0.05 hundredths = 0.01

thousandths = 0.005 thousandths = 0.009

15. a) 0.3 < 0.5 b) 0.3 > 0.05 c) 0.7 > 0.4 d) 0.07 < 0.4 e) 0.26 < 0.28 f) 0.26 > 0.026

g) 0.539 > 0.486 h) 0.134 < 0.162 i) 0.357 > 0.355

16. a) 0.001, 0.01, 0.1 n) 0.08, 0.095, 0.25 17. a) 0.2, 0.07, 0.005 b) 0.203, 0.135, 0.069

18. Please complete the given project works and discuss about the outcomes in the class.

Exercise – 6.2
Section B
7. a) 15 b) 510 c) 52 d) 215 e) 21 f) 210 g) 53 h) 530 i) 54 j) 225 k) 115 l) 121
m) 212 n) 14 o) 295 8. a) 0.5 b) 0.2 c) 0.4 d) 0.6 e) 0.8 f) 1.5 g) 2.2 h) 3.4
i) 1.6 j) 2.8 k) 0.25 l) 0.75 m) 0.35 n) 0.45 o) 0.16 p) 0.18 q) 1.12 r) 2.14
9. a) 0.5 b) 0.7 c) 0.7 d) 0.8 e) 1.1 f) 1.2 10. a) 0.07 b) 0.06 c) 0.09 d) 0.13
e) 0.12 f) 0.14 11. a) 0.22 b) 0.33 c) 0.44 d) 0.18 e) 0.33 f) 2.35 g) 5.57 h) 10.54
i) 12.55 12. a) 0.45 b) 0.54 c) 0.63 d) 0.25 e) 0.37 f) 0.34 g) 3.12 h) 4.05 i) 2.59

13. a) 0.93 b) 0.86 c) 0.815 d) 5.61 e) 53.65 f) 82.241 g) 0.25 h) 0.286 i) 3.38
j) 2.815 k) 11.788 l) 19.317 14. a) Rs 60.65 b) 43.215 km c) Rs 101.25

15. a) mustard oil by Rs 39.80 b) US dollar by Rs 28.98 c) Laxmi Pariyar by 0.631 kg (or 631 g)

16. Please play the card matching games with your friends.

251Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 4

Answers

Section B Exercise – 6.3 h) 0.63 i) 4 j) 0.72
4. a) 1.4 b) 0.14 c) 1.8 d) 0.18 e) 3.2 f) 0.45 g) 4.8

5. a) 4.8 b) 7.8 c) 9.8 d) 7.5 e) 14.4 f) 6.12 g) 7.28 h) 10.15 i) 9.15 j) 32.48

6. a) 1 b) 2 c) 2 d) 3 e) 3 f) 4 g) 4 h) 5 i) 5 j) 7 k) 7
l) 12 m) 115
f) 0.8 cm n) 26 7. a) Rs 0.45 b) Rs 0.8 c) 56 p d) 95 p e) 0.5 cm
m) 0.118 km
s) 185 g g) 4 mm h) 9 mm i) 0.36 m j) 0.75 m k) 25 cm l) 82 cm

n) 0.25 km o) 148 m p) 376 m q) 0.225 kg r) 0.46 kg

t) 734 g u) 0.327 l v) 0.567 l w) 275 ml x) 690 ml

8. Please visit the website and find today's exchange rates.

Exercise – 6.4

Section B

5. a) 50 % b) 25 % c) 75 % d) 20% e) 40% f) 60% g) 80% h) 10% i) 30%

j) 70% k) 90% l) 5% m) 15% n) 35% o) 45% p) 4% q) 32% r) 18%

6. a) 510 b) 215 c) 210 d) 530 e) 225 f) 110 g) 230 h) 15 i) 1
4
130 k) 270 l) 52 m) 290 n) 12 o) 53 p) 43 q) 45 r) 9
j) 10

7. a) Rs 5 b) Rs 16 c) 10 students d) 21 people e) 24 km f) 45 kg g) 60 boys

h) 14 girls i) 40 eggs

8. a) 55% girls, 45% boys b) (i) 100 people (ii) 30% men, 45% women and 25% children

9. a) 90 % b) 80% c) 70% female 10. a) 18 girls b) 40 c) (i) Rs 200 (ii) Rs 300 d) 120 girls

11. 12. and 13. Please complete your project works and discuss about the outcomes with your friends.

7. Unitary Method, Buying, Selling and Billing

Exercise – 7.1

Section B b) Rs 40 c) Rs 600 d) Rs 120 e) 180 l f) 15 l
4. a) Rs 320 (ii) 150 eggs

5. a) Chocolate b) Pencil 6. a) (i) Rs 25 (ii) Rs 75 b) (i) 30 eggs

7. a) Rs 180 b) 140 children c) 8000 m d) 12000 g

Section B Exercise – 7.2
3. a) profit = Rs 15
b) loss = Rs 5 c) loss = Rs 10 d) profit = Rs 40
4. a) profit Rs 10 b) profit Rs 30 c) loss Rs 15 d) loss Rs 50

5. a) profit Rs 8 b) profit Rs 50 c) loss Rs 30

Exercise – 7.3

Section B
2. Please prepare the bills and compare your bills with your friends. Then show to your teacher.

8. Time and Money

Section B Exercise – 8.1

3. a) 13 : 30 b) 14 : 05 c) 18 : 45 d) 22 : 15 e) 1 : 10 p. m. f) 3 : 40 p. m.

g) 8 : 20 p. m. h) 11 : 50 p. m. 4. a) 70 min b) 75 min c) 140 min d) 80 s

e) 90 s f) 125 s g) 1 h 5 min h) 1 h 20 min i) 2 h 5 min j) 1 min 30 s

5. a) 16 months b) 31 months c) 1 year 6 months d) 3 years 3 months e) 19 days

f) 30 days g) 2 weeks 4 days h) 5 weeks 3 days i) 70 days j) 2 months 20 days

k) 104 weeks l) 730 days 6. a) 4 h b) 2 h c) 4 h d) 5 h 20 min

7. Please complete the given project works and compare your works with your friends.

vedanta Excel in Mathematics - Book 4 252 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Answers

Exercise – 8.2

Section B c) 1 h 50 min d) 2 h 50 min e) 3 years 2 months
6. a) 3 h 5 min b) 4 h 10 min
g) 6 months 15 days h) 3 months 20 days
f) 1 year 10 months

7. a) 8 : 15 a. m. b) 15 : 10 or 3 : 10 p. m. c) 3 : 30 p. m. d) 11 : 10 a. m. e) 4 h 15 min

f) 5 h 40 min 8. a) 8 : 00 a. m. b) 12 : 15 p. m. c) 14 : 10 or 2 : 10 p. m.

9. a) 1 h 15 min b) 50 min c) 3 h 5 min d) 12 h 48 min e) 6 h 50 min

10. a) 18 : 15 or 6 : 15 p, m. b) 3 h 30 min c) 1 year 4 months 10 days d) Show to your teacher.

11. Please complete your project works and compare your works with your friends.

Section B Exercise – 8.3 e) Rs 96.65 f) Rs 285.60
8. a) Rs 40.75 b) Rs 77.85 c) Rs 475.20 d) Rs 37.45

9. a) Rs 14.90 b) Rs 87.30 c) Rs 146.30 d) Rs 27.20 e) Rs 48.75 f) Rs 94.25

10. a) (i) Rs 166 (ii) Rs 34 b) (i) Rs 60.50 (ii) Rs 301.25 c) (i) Rs 370.30 (ii) Rs 49.80
d) Rs 1,246.50 e) (i) Rs 2,226 (ii) Rs 26,712

11. Please complete the given project works and compare your works with your friends.

9. Algebra

Exercise – 9.1

Section B b) 2x + 5 c) y – 4 d) 3y – 7 e) a + 6
5. a) x + 3 g) 2 × (x + 1) h) 5 × (y – 9) p + 8 j) q – 10
i) 3 7
f) b – 2 c) (y + 3) years

6. a) (x + 2) years b) (x + 1) years d) Rs (x + 5) e) Rs (y – 10) f) Rs 6p

Exercise – 9.2

Section B

5. a) 3x, 1 b) 2xy, 1 c) a and b, 2 d) a, b and 5l 3 e) 2p, q and 1, 3 f) x, 2y, z and 7, 4

6. a) coefficient is 2, base is x b) coefficient is 3, base is y c) coefficient is 6, base is a

d) coefficient is 1, base is x e) coefficient is 1, base is xy f) coefficient is 1, base is ab
g) coefficient is 21, base is x h) coefficient is 32, base is pq h) 8 i) 10 j) 1
7. a) 5 b) 4 c) 5 d) 1 e) 1 f) 4 g) 6

8. a) 7 b) 3 c) 5 d) 1 e) 8 f) 6 g) 8 h) 6 9. a) 15 b) 20 c) 16 d) 32

10. a) 6 cm b) 5 cm c) 8 cm d) 7 cm e) 9 cm 11. a) 12 cm b) 13 cm c) 23 cm

Exercise – 9.3

Section B

9. a) 8x b) 6x c) 9y d) 11y e) 11p f) 14 m g) 17x h) 13p i) 15y j) 16q

k) 17m l) 15x 10. a) 5x b) 5y c) 2p d) 5x e) 4 m f) 2p g) 5x

h) 9y i) 7q j) 6x k) 8y l) 10 m 11. a) 6x b) 5x c) 3y d) 10y e) 5p

f) 4x g) 7 m h) 4y i) 7p 12. a) 6 cm b) 12 cm 13. a) 21 cm b) 27 cm c) 30 cm

14. Please complete the given activities. Compare your works with your friends.

Exercise – 9.4

Section B

5. a) 2x + 7 b) 3x + 3 c) 5y + 6 d) 2a + 2b e) 3x + 4y f) 6a + 2b
g) 7a + 3b h) 7x – y i) 4x + 9 j) 5y – 3 k) 4a + 7b l) 9x – y
6. a) x + 3 b) 2x + 3 c) 3y + 4 d) a + b e) 2a + 3b f) 3x + 2y
g) 4x + 5y h) 7a + 4b i) 2x + 5 j) 2y + 7 k) 3a + 13b l) 5x + 3y

253Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 4

Answers

Exercise – 9.5

Section B d) y = 7 e) y = 5 f) a = 7 g) a = 3 h) x = 5
5. a) x = 1 b) x = 2 c) x = 4
d) y = 9 e) y = 10 f) a = 8 g) a = 8 h) x = 16
6. a) x = 3 b) x = 5 c) x = 7
d) y = 5 e) y = 3 f) a = 2 g) a = 4 h) x = 7
7. a) x = 1 b) x = 2 c) x = 2
d) y = 12 e) y = 4 f) a = 15 g) a = 12 h) x = 10
8. a) x = 2 b) x = 4 c) x = 3
d) x = 5 e) y = 2 f) x = 3 g) a = 3 h) x = 1
9. a) x = 2 b) y = 3 c) a = 2
i) x = 3 j) y = 10 k) a = 4 l) x = 12 10. a) x = 4 b) x = 5 c) y = 7 d) y = 2
e) a = 6 f) x = 5 g) a = 8
12. a) x = 2 cm b) a = 2 cm h) x = 9 11. a) x = 2 b) t = 6 c) x = 6 d) y = 10

13. a) x = 2 cm b) x = 3 cm c) x = 2 cm

Exercise – 9.6

Section B

3. a) x = 6 b) y = 12 c) p = 4 d) x = 10 e) a = 8 f) b = 20
j) y = 9 4. a) 8 b) 15 c) 8 d) 24
g) x = 6 h) y = 10 i) x = 15 h) 4 5. a) 12 boys b) 280 girls
b) Rs 75 c) 28 marbles
e) 7 f) 16 g) 3

c) 20 kg oranges 6. a) 26 students

7. a) 17 boys b) 12 boys c) Rs 25 8. a) 12 years b) 7 years c) 7 years

9. Please complete the given project works and compare your works with your friends.

10. Measurement
Exercise – 10.1

Section B

6. a) 25 mm b) 67 mm c) 4.2 cm d) 8.4 cm e) 120 cm f) 246 cm
g) 3.55 m h) 5.8 m i) 1150 m j) 2,300 m
k) 4.218 km l) 7.945 km

7. a) 1.4 cm b) 7 mm c) 30.54 m d) 3.527 km e) 916 m 8. Show to your teacher.

9., 10., 11. Please complete your project works and compare your outcomes with your friends.

Exercise – 10.2

Section B

3. a) 10 cm 8 mm b) 16 cm 4 mm c) 20 m 10 cm d) 55 m 30 cm e) 30 km 800 m

f) 75 km 535 m 4. a) 5 cm 3 mm b) 4 cm 8 mm c) 5 m 15 cm d) 15 m 75 cm

e) 3 km 190 m f) 10 km 785 m 5. a) 13.3 cm b) 25.5 cm c) 20.41 m

d) 60.55 m e) 10.16 km f) 37.63 km g) 2.9 cm h) 5.8 cm

i) 3.92 m j) 29.6 m k) 4.8 km l) 25.71 km

6. a) 4.25 m b) 15.3 cm c) 3.2 cm d) 4.61 m e) 6.255 km or 6 km 255 m

7. a) 12.9 cm b) 20 cm c) 11.8 cm d) 10.85 m e) 15 km 780 m or, 15.78 km

8. Please complete your project works and compare your works with your friends.

Exercise – 10.3

Section B

3. a) 61.21 km b) 205.03 km c) 145.63 km d) 174.21 km e) 117.75 km
4. a) 190.14 km b) 137.62 km c) 239.09 km

5. Please complete your project works and compare your works with your friends.

Exercise – 10.4

Section B

5. a) 5000 g b) 1200 g c) 2750 g d) 3500 g e) 0.015 kg f) 0.125 kg
6. a) 1 kg 250 g b) 1 kg 300 g c) 1 kg 500 g d) 1 kg 750 g
g) 1.3 kg h) 2.685 kg g) 2 kg 550 g h) 3 kg 225 g

e) 2 kg 100 g f) 2 kg 460 g

vedanta Excel in Mathematics - Book 4 254 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Answers

Exercise – 10.5

Section B

4. a) 9 kg 200 g b) 16 kg 400 g c) 17 kg 530 g d) 36 kg 55 g e) 3 kg 900 g

f) 1 kg 850 g g) 5 kg 660 g h) 11 kg 680 g 5. a) 7.15 kg b) 15.42 kg

c) 20.395 kg d) 60.65 kg e) 4.56 kg f) 6.62 kg g) 10.06 kg

h) 21.83 kg 6. a) 6 kg 250 g or 6.25 kg b) 26 kg 200 g or 26.2 kg

c) 5 kg 250 g or 5.25 kg d) 12 kg 650 g or 12.65 kg

7. a) 3 kg 850 g or 3.85 kg b) 7 kg 740 g or 7.74 kg c) 51 kg 590 g or 51.59 kg

d) 70 kg 725 g or 70.725 kg

Please complete your project works and compare your works with your friends.

Exercise – 10.6

Section B

4. a) 6000 ml b) 1300 ml c) 2220 ml d) 3450 ml e) 0.036 l f) 0.275 l
g) 1.18 l h) 4.625 l 5. a) 1 l 150 ml b) 1 l 500 ml c) 1 l 890 ml d) 2 l 475 ml
e) 2 l 700 ml f) 3 l 225 ml
g) 3 l 570 ml h) 4 l 180 ml

Exercise – 10.7

Section B

3. a) 7 l 100 ml b) 9 l 200 ml c) 20 l 430 ml d) 50 l 700 ml e) 3 l 700 ml f) 4 l 800 ml
g) 3 l 600 ml h) 16 l 450 ml 4. a) 8.28 l b) 15.5 l c) 35.6 l d) 50.45 l
e) 6.6 l f) 12.65 l g) 15.16 l h) 25.82 l

5. a) 4 l b) 3 l 500 ml or 3.5 l c) 10 l 330 ml or 10.33 l d) 24 l 250 ml or 24.25 l

6. a) 8 l 660 ml or 8.66 l b) 4 l 980 ml or 4.98 l c) (i) 500 ml (ii) 750 ml
d) (i) 81 l (ii) 9 l e) (i) 20 ml (ii) 10 days

Please complete your project works and compare your works with your friends.

11. Perimeter, Area and Volume
Exercise – 11.1

Section B

5. a) 13 cm b) 14 cm c) 16 cm 6. a) 10 cm b) 10 cm c) 14 cm

7. a) (i) 16 cm (ii) 18 cm b) (i) 18 cm (ii) 24 cm c) (i) 24 cm (ii) 30 cm

8. a) 84 cm b) 200 m c) (i) 520 m (ii) 520 m

9. a) 48 cm b) (i) 300 m (ii) 300 m

10. Please complete your project works and compare your works with your friends.

Exercise – 11.2

Section B

3. a) 10 sq. cm b) 12 sq. cm c) 28 sq. cm d) 30 sq. cm e) 48 sq. cm f) 70 sq. cm

4. a) 9 sq. cm b) 16 sq. cm c) 25 sq. cm d) 49 sq. cm e) 81 sq. cm f) 100 sq. cm

5. a) 54 sq. cm b) 128 sq. cm c) 80 sq. m.

6. a) 144 sq. cm b) 8100 sq. m c) 441 sq. cm

7. Please complete these activities yourself or in a group and discuss in your class.

Exercise – 11.3

Section B b) 27 cu. cm c) 64 cu. cm d) 125 cu. cm
f) 343 cu. cm g) 1000 cu. cm h) 1728 cu. cm
4. a) 8 cu. cm
e) 216 cu. cm

255Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 4

Answers

5. a) 24 cu. cm b) 20 cu. cm c) 72 cu. cm d) 180 cu. cm e) 350 cu. cm f) 1200 cu. cm

6. a) 8 cu. cm b) 1000 cu. cm c) 300 cu. cm d) 60 cu. cm e) 48 cu. cm f) 180 cu. cm

7. a) 27 cu. cm, 27 cu. cm b) 8 cu. cm, 8 cu. cm c) 512 cu. cm, 512 cu. cm

8. a) 36 cu. cm b) 384 cu. cm c) 864 cu. cm

9. Please perform these activities yourself or in a group. Discuss about the outcomes in your class.

12. Geometry
Exercise – 12.1
Section B
Please complete this exercise yourself, then show to your teacher. Also, compare your work with
your friends.

Exercise – 12.2

Section B

5. Please answer the given questions yourself and show to your teacher. Also, compare your
answers with your friends.

6. Please construct the given angles yourself and show to your teacher. Also, compare your work
with your friends.

7. Please perform these activities yourself and discuss in your class.

Exercise – 12.3

Section B

5. Please answer the given questions yourself and show to your teacher. Also, compare your
answers with your friends.

6. Acute angles: 20°, 75° Right angle: 90°

Obtuse angles: 95°, 135° Straight angle: 180°

Reflex angles: 250°, 300° Complete turn angle: 360°

7. a) ∠EPL b) 4 acute angles; ∠EPL, ∠PEN, ∠ALP c) 1 right angle

d) Acute angle 8. a) 60° b) 40° c) 80° d) 30°

9. Please perform the given activities yourself or in a group and demonstrate them in your class.

Exercise – 12.4

Section B

5. Please answer the given questions yourself and show to your teacher. Also, compare your
answers with your friends.

6. Please perform the given activities yourself or in a group and demonstrate them in your class.

Exercise – 12.5

Section B

4. a) x = 4 cm b) x = y = 3 cm c) p = 2 cm d) a = b = c = 2.5 cm

e) x = 2 cm, y = 4.5 cm f) p = 5 cm, q = 3 cm

5. a) x = y = 90° b) a = b = 90° c) a = b = c = d = 90°

6. a) 3 cm b) 4 cm c) 5 cm 7. a) 2 cm b) 2.5 cm c) 3 cm

8. Please answer the given questions yourself and compare your answers with your friends. Then
show to your teacher.

9. Please perform the given activities yourself or in a group. Discuss about the outcomes in your
class.

vedanta Excel in Mathematics - Book 4 256 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Answers

Exercise – 12.6

Please answer the given questions yourself and compare your answers with your friends. Then
show to your teacher.

13. Statistics
Exercise – 13.1

Section B

2. and 3. Please draw the bar graphs and compare with your friends. Then show to your teacher.

4. Please perform the given activities in groups. Demonstrate your group works in your class,

then show to your teacher.

Exercise – 13.2

Section B

5. and 6. Please answer the given questions yourself and compare your answers with your friends.

Then show to your teacher. 7. a) 27° C b) 30° C

8. Please answer the given questions yourself and compare your answers with your friends. Then

show to your teacher.

9. Please perform the given activities yourself or in a group. Discuss the outcomes in your class.

Exercise – 13.3

Section B

6. Please answer the given questions yourself. Compare your answers with your friends and show

to your teacher.

7. a) A → (2, 2), B → (5, 1), C → (3, 6)

P → (7, 2), Q → (10, 5), R → (8, 7), S → (5, 4)

b) A → (1, 2), B → (8, 2), C → (5, 6), D → (7, 6), E → (7, 8), F → (2, 8),
G → (2, 6), H → (4, 6)

8. Please perform the given activities in groups inside your classroom.

14. Set

Exercise – 14.1

Section B

5. a) A is a set of names of 5 pupils of class four. d) B is a set of names of 4 vegetables,

e) C is a set of names of 5 rivers of Nepal.

6. Please answer the given question yourself and compare your answers with friends. Then show

to your teacher.

Exercise – 14.2

Section B

4. a) A = {n, e, p, a, l} b) N = {1, 2, 3, 4, 5} c) M = {January, June, July}

5. a) A set of vehicles b) A set of odd numbers less than 10. c) A set of the letters of the word ‘four’.

6. a) Me rcury b) 11 17 c) 2 d) a i
Venus Mars 13 19 4 8 10 6 e ou

7. a) P = {Saturn, Uranus, Neptune} b) A = {ruler, protractor, compass}

c) W = {0, 1, 2, 3, 4} d) F = {1, 2, 3, 4, 6, 12} e) B = {f, o, u, r}

8. a) A set of three .planets closer to the Earth. b) A set of four water animals.
c) A set of natural numbers less than 6. d) A set of the first five multiples of 3.

e) A set of the letters of the word ‘house’.

9. Please perform the given activities yourself or in a group. Demonstrate your works in your
class.

257Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 4

Evaluation Model

Evaluation Model

Group A (10 × 1 mark = 10 marks)

1. Tick the correct answers.

a) How many millions are there in 50 lakh?

(i) 50 million (ii) 5 million (iii) 500 million

b) Which one is the prime number in the following numbers?

(i) 33 (ii) 39 (iii) 31

c) What is the product of 40 × 500?

(i) 20000 (ii) 2000 (iii) 200000

d) What is the highest common factor of 16 and 24?

(i) 4 (ii) 16 (iii) 8

e) Which one is the equivalent fraction of 15 ?
20
(Wi)h54a t is the sum of 0.2(ii+) 430 .02 (iii) 53
f)

(i) 0.22 (ii) 0.4 (iii) 2.2

g) What is the value of 0.5 in percent?

(i) 5% (ii) 0.5% (iii) 50%

h) What is the difference of 4x – 2x?

(i) x (ii) 2x (iii) 6x

i) How many metres are there in 2 m 70 cm?

(i) 2.7 m (ii) 27 m (iii) 0.27 m

j) How many degrees are there in a right-angle?

(i) 180° (ii) 360° (iii) 90°

Group B (25 × 2 marks = 50 marks)

2. a) The cost of a car is forty-five lakh seventy thousand two hundred rupees.

(i) Rewrite the cost in numeral.

(ii) Rewrite the cost in International number system.

b) Convert the Roman numeral CDXLVII into Hindu-Arabic numeral.

3. a) Write the correct number in the blank spaces and find the product or
quotient.

(i) ........... times ........... dots = ........... × ........... = ...........

(ii) ....... dots are shared in ....... groups = ....... ÷ ....... = .......

b) Write a pair of any odd numbers and find their (i) sum and (ii) product.

vedanta Excel in Mathematics - Book 4 258 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model

c) Write the first ten multiples of 4 and 6. Then write their L. C. M.
4. a) Find the sum of 72 + .
b) Find the product of 23 × .

5. a) Find the difference of 7.005 – 3.5.

b) Find the product of 2.72 × 3.
6. a) Convert 5 l 275 ml into the decimal of litres.
b) Add: 25 m 60 cm + 14 m 70 cm

c) Express (i) 2 : 30 p. m. in 24 hour-clock system.

(ii) 18 : 45 hour in 12 hour-clock system.

7. a) Add: (2x + 3) + (x + 1)

b) Subtract: y + 4 from 4y + 9.

8. Solve: a) 2x + 1 = 7 b) 3x – 4 = 2.

9. a) Find the perimeter of a square which is 4 cm long.

b) Find the area of a square which is 5 cm broad.

10. a) Find the volume of the given solids.

(i) (ii)

b) A solid box is 12 cm long, 8 cm wide and 5 cm high. How much space
does it occupy?

11. Construct a) 60° b) 90° by using a protractor. Q
P
12. a) Write the name, vertex and arms of the given angle.

O

b) Write (i) any two obtuse angles (ii) any two reflex angles

c) If the sum of x° and 100° is a straight angle, find x°.



Group C (10 × 4 marks = 40 marks)

11. Simplify:

(i) 72 ÷ (15 – 6) × (12 – 8) (ii) 1 + –
2
12. Rewrite the following sets in listing method.

(i) A set of whole numbers less than 5.

(ii) A set of prime numbers less than 10.

259Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 4

Evaluation Model

(iii) A set of composite numbers less than 10.
(iv) A set of factors of 18.
14. Draw a bar graph to show the information given in the table.

Class I II III IV
25
No. of Students 20 15 30

15. Write the ordered pairs of numbers of the points P, Q, R, and S from the given
graph.

Y
10

9
8
7S
6P
5
4R
3Q
2
1
O 1 2 3 4 5 6 7 8 9 10 X

16. The cost of a laptop is Rs 45,750 which is Rs 15,900 more than the cost of a
mobile.

(i) Find the cost of the mobile.

(ii) Find the total cost of these two items.

17. Sita buys 4 kg of rice and Hari buys 7 kg of rice.
5 10
(i) Who buys more rice and by how much?

(ii) How much rice do they buy altogether?

18. There are 750 students in a school and 40% of them are boys.

(i) Find the number of boys. (ii) Find the number of girls.

19. A shopkeeper bought 60 pens at the rate of Rs 40 each and sold them at the
rate of Rs 50 each. How much profit did the shopkeeper make?

20. A rectangular field is 150 m long and 80 m wide.

(i) Find it's perimeter (ii) Find it's area

21. Ramesh has Rs 20 less than the money that Hari has. If Ramesh has Rs 130,
how much money does Hari have? Make an equation and solve it.

?

vedanta Excel in Mathematics - Book 4 260 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur