EduSahara™ Worksheet

Question 1

1.

△ABC is a triangle with sides BC = 11 cm, CA = 10 cm and AB = 14 cm. △ABC is reduced to △A'B'C' such that the smallest side of △A'B'C' is 8.33 cm. Find the scale factor.

(i)

5
4
(ii)

5
8
(iii)

7
6
(iv)

5
6
(v)

1
2

Question 2

2.

△ABC is a triangle with sides BC = 12 cm, CA = 14 cm and AB = 13 cm. △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 16 cm. Find the corresponding lengths of the enlarged triangle △A'B'C'.

(i)

14 cm, 16.67 cm, 15.33 cm
(ii)

16 cm, 18.67 cm, 17.33 cm
(iii)

15 cm, 17.67 cm, 16.33 cm
(iv)

18 cm, 20.67 cm, 19.33 cm
(v)

17 cm, 19.67 cm, 18.33 cm

Question 3

3.

AB = 16.00 cm, BC = 13.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 19000. Calculate the diagonal distance of the field.

(i)

3.92 km
(ii)

5.92 km
(iii)

1.92 km
(iv)

4.92 km
(v)

2.92 km

Question 4

4.

AB = 19.00 cm, BC = 9.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 7000. Calculate the area of the field.

(i)

2.84 sq.km
(ii)

7.84 sq.km
(iii)

8.84 sq.km
(iv)

1.84 sq.km
(v)

0.84 sq.km

Question 5

5.

The measurements of a triangular field △ABC are BC = 11 cm, AB = 14 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 16000. Calculate the actual length of CA in km.

(i)

2.85 km
(ii)

4.85 km
(iii)

3.85 km
(iv)

0.85 km
(v)

1.85 km

Question 6

6.

The measurements of a triangular field △ABC are BC = 9 cm, AB = 11 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 25000. Calculate the actual area of the plot in sq.km.

(i)

2.09 sq.km
(ii)

5.09 sq.km
(iii)

3.09 sq.km
(iv)

1.09 sq.km
(v)

4.09 sq.km

Question 7

7.

A triangle having an area 114.89 sq.cm is reduced by a scale factor of 0.62. Find the area of its image.

(i)

44.16 sq.cm
(ii)

47.16 sq.cm
(iii)

41.16 sq.cm
(iv)

49.16 sq.cm
(v)

39.16 sq.cm

Question 8

8.

A triangle having an area 52.37 sq.cm is reduced such that the area of its image is 23.51 sq.cm. Find the scale factor.

(i)

0.67
(ii)

1.67
(iii)

7.67
(iv)

8.67
(v)

2.67

Question 9

9.

A rectangle having an area 221.00 sq.cm is reduced by a scale factor of 0.14. Find the area of its image.

(i)

3.33 sq.cm
(ii)

5.33 sq.cm
(iii)

2.33 sq.cm
(iv)

4.33 sq.cm
(v)

6.33 sq.cm

Question 10

10.

A rectangle having an area 208.00 sq.cm is enlarged such that the area of its image is 532.48 sq.cm. Find the scale factor.

(i)

2.6
(ii)

0.6
(iii)

9.6
(iv)

3.6
(v)

1.6

Question 11

11.

A model of a ship is made to a scale of 1 : 200. If length of the model ship is 8 m, calculate the length of the ship.

(i)

1770.00 m
(ii)

1860.00 m
(iii)

1530.00 m
(iv)

1600.00 m
(v)

1440.00 m

Question 12

12.

A model of a ship is made to a scale of 1 : 185. If the length of the ship is 555 m, calculate length of the model ship.

(i)

1.00 m
(ii)

2.00 m
(iii)

3.00 m
(iv)

5.00 m
(v)

4.00 m

Question 13

13.

A model of a ship is made to a scale of 1 : 135. If the area of the deck of the model ship is 49 sq.m, calculate the area of the deck of the ship.

(i)

893025.00 sq.m
(ii)

905025.00 sq.m
(iii)

876025.00 sq.m
(iv)

896025.00 sq.m
(v)

879025.00 sq.m

Question 14

14.

A model of a ship is made to a scale of 1 : 170. If the area of the deck of the ship is 3496900 sq.m, calculate the area of the deck of the model ship.

(i)

116.00 sq.m
(ii)

121.00 sq.m
(iii)

129.00 sq.m
(iv)

104.00 sq.m
(v)

137.00 sq.m

Question 15

15.

A model of a ship is made to a scale of 1 : 155. If the volume of the model ship is 2744 cu.m, calculate the volume of the ship.

(i)

10338313000.00 cu.m
(ii)

10068313000.00 cu.m
(iii)

10478313000.00 cu.m
(iv)

10188313000.00 cu.m
(v)

10218313000.00 cu.m

Question 16

16.

A model of a ship is made to a scale of 1 : 50. If the volume of the ship is 274625000 cu.m, calculate the volume of the model ship.

(i)

2337.00 cu.m
(ii)

2377.00 cu.m
(iii)

2147.00 cu.m
(iv)

1917.00 cu.m
(v)

2197.00 cu.m

Question 17

17.

The dimensions of the model of a multi-storey building are 7.5 cm ✕ 4.5 cm ✕ 10 cm. If the model is drawn to a scale of 1 : 145, find the actual dimensions of the building.

(i)

1088.5 cm ✕ 652.5 cm ✕ 1450 cm
(ii)

1087.5 cm ✕ 652.5 cm ✕ 1450 cm
(iii)

1087.5 cm ✕ 653.5 cm ✕ 1450 cm
(iv)

1087.5 cm ✕ 652.5 cm ✕ 1451 cm
(v)

1088.5 cm ✕ 653.5 cm ✕ 1450 cm

Question 18

18.

The dimensions of the model of a multi-storey building are 6.5 cm ✕ 7.5 cm ✕ 10 cm. If the model is drawn to a scale of 1 : 75, find the floor area of a room of the building whose area in the model is 9 sq.cm.

(i)

5.06 sq.m
(ii)

3.06 sq.m
(iii)

6.06 sq.m
(iv)

7.06 sq.m
(v)

4.06 sq.m

Question 19

19.

The dimensions of the model of a multi-storey building are 4.5 cm ✕ 5.5 cm ✕ 6.5 cm. If the model is drawn to a scale of 1 : 195, find the volume of the room in the model whose actual volume is 3796.416 cu.m.

(i)

487.00 cu.cm
(ii)

518.00 cu.cm
(iii)

504.00 cu.cm
(iv)

512.00 cu.cm
(v)

538.00 cu.cm

Question 20

20.

A model of building is made with a scale factor of 1 : 100. Find the actual height of the building if the height of the model is 8.5 cm.

(i)

8.50 m
(ii)

6.50 m
(iii)

7.50 m
(iv)

9.50 m
(v)

10.50 m

Question 21

21.

A model of building is made with a scale factor of 1 : 100. Find the volume of the tank on the top of the model if its actual volume is 274625000 cu.cm.

(i)

275.62 cu.cm
(ii)

276.62 cu.cm
(iii)

273.62 cu.cm
(iv)

274.62 cu.cm
(v)

272.62 cu.cm

Assignment Key