Vedanta Excel in Mathematics Books 4 Final (2079)

Answers

15. a) mustard oil by Rs 24.80 b) US dollar by Rs 33.98 c) Laxmi Pariyar by 0.631 kg (or 631 g)
16. Please play the card matching games with your friends.

Exercise – 6.3

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) 51 i) 1
4
130 k) 270 l) 25 m) 290 n) 12 o) 53 p) 34 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.

Section B 7. Measurement - Time and Money
Exercise – 7.1

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

k) 1 day 6 h l) 2 days 8 h

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.

Section B Exercise – 7.2 d) 2 h 50 min e) 10 days 8 h
6. a) 3 h 5 min i) 3 years 2 months
b) 4 h 10 min c) 1 h 50 min
f) 4 days 18 h g) 6 weeks 3 days h) 1 week 4 days

j) 1 year 10 months k) 6 months 15 days l) 3 months 20 days

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 11. a) 3 weeks 2 days b) 2 days 5 h

12. a) 1 year 4 months 10 days b) Show to your teacher.

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

Section B Exercise – 7.3 e) Rs 96.65 f) Rs 285.60
9. a) Rs 40.75 b) Rs 77.85 c) Rs 475.20 d) Rs 37.45

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

11. 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

12. and 13. Please complete the given project works and compare your works with your friends.

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Answers

Exercise – 7.4

Section B b) Rs 40 c) Rs 600 d) Rs 120 e) Rs 1860 l f) Rs 85 per kg
4. a) Rs 320

5. a) Chocolate b) Pencil 6. a) (i) Rs 25 (ii) Rs 75 b) (i) Rs 15 (ii) Rs 180

7. a) Rs 180 b) Yes c) Yes

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

8. Measurement - Length, weight and capacity
Exercise – 8.1

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

g) 3.55 m

10. a) 1.4 cm b) 7 mm c) 30.54 m d) 3.527 km e) 916 m 11. Show to your teacher.

12., 13., 14. and 15. Please complete your project works and compare your outcomes with your

friends.

Exercise – 8.2

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 – 8.3

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 – 8.4

Section B

5. a) 5000 g b) 1200 g c) 2750 g d) 3500 g e) 0.015 kg f) 0.125 kg

g) 1.3 kg h) 2.685 kg i) 200 kg j) 740 kg k) 4 q l) 6 q 60 kg

6. a) 1 kg 250 g b) 1 kg 300 g c) 1 kg 500 g d) 1 kg 750 g e) 2 kg 100 g

f) 2 kg 460 g g) 2 kg 550 g h) 3 kg 225 g 7. and 8. Please complete your project

works and compare your outcomes with your friends.

Exercise – 8.5

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 i) 4 q 10 kg j) 9 q 40 kg

k) 3 q 90 kg l) 5 q 70 kg 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 8. a) 16 q 20 kg b) 2 q 60 kg

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

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Answers

Exercise – 8.6

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

6. and 7. Please complete your project works and compare your works with your friends.

Exercise – 8.7

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

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

9. Measurement - Perimeter, Area and Volume

Exercise – 9.1

Section B

5. a) 13 cm b) 14 cm c) 16 cm 6. a) 10 cm b) 12 cm c) 14 cm

7. a) (i) 16 cm (ii) 18 cm b) (i) 18 cm (ii) 24 cm c) (i) 24 cm (ii) 32 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 – 9.2

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 – 9.3

Section B

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

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.

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

Answers

10. Algebra

Exercise – 10.1

Section B

2. a) 3 b)5 c) 4 d) 10 e) 8 f) 6 g) 5 h) 8

3. a) 4 b)3 c) 5 d) 3 e) 5 f) 4 g) 4 h) 9 i) 12
n) 3 o) 9 p) 6 q) 8 r) 5
j) 1 k) 2 l) 7 m) 2

Exercise – 10.2

Section B

3. a) 4 b) 2 c) 5 d) 4 e) 6 f) 3 g) 18 h) 9

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

5. a) x = 3 b) x = 5 c) x = 7 d) y = 9 e) y = 10 f) a = 8 g) a = 8 h) x = 16

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

7. a) x = 2 b) x = 4 c) x = 3 d) y = 12 e) y = 8 f) a = 15 g) a = 12 h) x = 10

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

11. x = 2 cm b) x = 3 cm c) x = 2 cm

Exercise – 10.3

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

Exercise – 10.4

Section B

9. a) x + 3 b) 2x + 5 c) y – 4 d) 3y – 7 e) a + 6

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

Exercise – 10.5

Section B

8. 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 9. 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

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

11. Geometry - Lines and Angles
Exercise – 11.1

Section B
Please complete this exercise yourself, then show to your teacher. Also, compare your work with

your friends.

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

Answers

Exercise – 11.2

Section B

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

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

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

12. Geometry - Shapes
Exercise – 12.1

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 – 12.2

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.

Exercise – 12.3

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. Please design the appropriate bills and compare with your friends. Then, show to your teacher.

3. Please complete your project work and show to your teacher.

Exercise – 13.2

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.

? vedanta Excel in Mathematics - Book 4

253Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

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
W(i)h45a t is the sum of 0.2(ii+) 340 .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 4 254 Approved by Curriculum Development CentreSanothimi, 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 27 + .
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)

12. a) 1 + 2 + 73
7 7

b) 6 – 1 – 2
8 8 8

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

Evaluation Model

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. The annual income of Mr. Rai from different sources and expenditures on
different titles are given below. Prepare her annual budget.

Sources and income Titles and expenditure

Crops farming Rs 1,50,000 Food and cloths Rs 90,000

Poultry farming Rs 1,20,000 Education Rs 1,15,000

Fish farming Rs 80,000 Health Insurance Rs 27,000

Taxes Rs 15,000

How much money is she planning to save in a year?

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 4 256 Approved by Curriculum Development CentreSanothimi, Bhaktapur