EduSahara™ Worksheet

Question 1

1.

△ABC is a triangle with sides BC = 13 cm, CA = 11 cm and AB = 12 cm. △ABC is reduced to △A'B'C' such that the smallest side of △A'B'C' is 4.89 cm. Find the scale factor.

(i)

2
3
(ii)

2
9
(iii)

4
9
(iv)

4
11
(v)

4
7

Question 2

2.

△ABC is a triangle with sides BC = 11 cm, CA = 14 cm and AB = 12 cm. △ABC is reduced to △A'B'C' such that the smallest side of △A'B'C' is 3.67 cm. Find the corresponding lengths of the reduced triangle △A'B'C'.

(i)

4.67 cm, 5.67 cm, 5 cm
(ii)

1.67 cm, 2.67 cm, 2 cm
(iii)

2.67 cm, 3.67 cm, 3 cm
(iv)

3.67 cm, 4.67 cm, 4 cm
(v)

5.67 cm, 6.67 cm, 6 cm

Question 3

3.

AB = 20.00 cm, BC = 18.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 24000. Calculate the diagonal distance of the field.

(i)

7.46 km
(ii)

4.46 km
(iii)

6.46 km
(iv)

8.46 km
(v)

5.46 km

Question 4

4.

AB = 15.00 cm, BC = 6.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 12000. Calculate the area of the field.

(i)

1.30 sq.km
(ii)

0.30 sq.km
(iii)

9.30 sq.km
(iv)

2.30 sq.km
(v)

3.30 sq.km

Question 5

5.

The measurements of a triangular field △ABC are BC = 11 cm, AB = 5 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 20000. Calculate the actual length of CA in km.

(i)

2.42 km
(ii)

1.42 km
(iii)

3.42 km
(iv)

4.42 km
(v)

0.42 km

Question 6

6.

The measurements of a triangular field △ABC are BC = 15 cm, AB = 8 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 21000. Calculate the actual area of the plot in sq.km.

(i)

1.65 sq.km
(ii)

2.65 sq.km
(iii)

3.65 sq.km
(iv)

4.65 sq.km
(v)

0.65 sq.km

Question 7

7.

A triangle having an area 69.2 sq.cm is enlarged by a scale factor of 2.00. Find the area of its image.

(i)

271.78 sq.cm
(ii)

300.78 sq.cm
(iii)

279.78 sq.cm
(iv)

276.78 sq.cm
(v)

259.78 sq.cm

Question 8

8.

A triangle having an area 10.83 sq.cm is enlarged such that the area of its image is 19.15 sq.cm. Find the scale factor.

(i)

2.33
(ii)

3.33
(iii)

0.33
(iv)

1.33
(v)

9.33

Question 9

9.

A rectangle having an area 323.00 sq.cm is reduced by a scale factor of 0.60. Find the area of its image.

(i)

109.28 sq.cm
(ii)

116.28 sq.cm
(iii)

133.28 sq.cm
(iv)

98.28 sq.cm
(v)

142.28 sq.cm

Question 10

10.

A rectangle having an area 150.00 sq.cm is enlarged such that the area of its image is 759.38 sq.cm. Find the scale factor.

(i)

2.25
(ii)

3.25
(iii)

4.25
(iv)

1.25
(v)

0.25

Question 11

11.

A model of a ship is made to a scale of 1 : 95. If length of the model ship is 9 m, calculate the length of the ship.

(i)

847.00 m
(ii)

867.00 m
(iii)

870.00 m
(iv)

855.00 m
(v)

841.00 m

Question 12

12.

A model of a ship is made to a scale of 1 : 90. If the length of the ship is 270 m, calculate length of the model ship.

(i)

3.00 m
(ii)

2.00 m
(iii)

4.00 m
(iv)

5.00 m
(v)

1.00 m

Question 13

13.

A model of a ship is made to a scale of 1 : 150. If the area of the deck of the model ship is 324 sq.m, calculate the area of the deck of the ship.

(i)

7270000.00 sq.m
(ii)

7150000.00 sq.m
(iii)

7460000.00 sq.m
(iv)

7540000.00 sq.m
(v)

7290000.00 sq.m

Question 14

14.

A model of a ship is made to a scale of 1 : 85. If the area of the deck of the ship is 722500 sq.m, calculate the area of the deck of the model ship.

(i)

112.00 sq.m
(ii)

100.00 sq.m
(iii)

105.00 sq.m
(iv)

96.00 sq.m
(v)

77.00 sq.m

Question 15

15.

A model of a ship is made to a scale of 1 : 175. If the volume of the model ship is 4096 cu.m, calculate the volume of the ship.

(i)

21946000000.00 cu.m
(ii)

21925000000.00 cu.m
(iii)

21980000000.00 cu.m
(iv)

21952000000.00 cu.m
(v)

21959000000.00 cu.m

Question 16

16.

A model of a ship is made to a scale of 1 : 80. If the volume of the ship is 373248000 cu.m, calculate the volume of the model ship.

(i)

744.00 cu.m
(ii)

711.00 cu.m
(iii)

736.00 cu.m
(iv)

726.00 cu.m
(v)

729.00 cu.m

Question 17

17.

The dimensions of the model of a multi-storey building are 2 cm ✕ 5 cm ✕ 9 cm. If the model is drawn to a scale of 1 : 125, find the actual dimensions of the building.

(i)

251 cm ✕ 626 cm ✕ 1125 cm
(ii)

250 cm ✕ 625 cm ✕ 1125 cm
(iii)

250 cm ✕ 626 cm ✕ 1125 cm
(iv)

251 cm ✕ 625 cm ✕ 1125 cm
(v)

250 cm ✕ 625 cm ✕ 1126 cm

Question 18

18.

The dimensions of the model of a multi-storey building are 2 cm ✕ 8.5 cm ✕ 10 cm. If the model is drawn to a scale of 1 : 165, find the floor area of a room of the building whose area in the model is 64 sq.cm.

(i)

160.24 sq.m
(ii)

186.24 sq.m
(iii)

174.24 sq.m
(iv)

167.24 sq.m

Question 19

19.

The dimensions of the model of a multi-storey building are 7 cm ✕ 8.5 cm ✕ 8 cm. If the model is drawn to a scale of 1 : 70, find the volume of the room in the model whose actual volume is 1157.625 cu.m.

(i)

3595.00 cu.cm
(ii)

3375.00 cu.cm
(iii)

3235.00 cu.cm
(iv)

3415.00 cu.cm
(v)

3105.00 cu.cm

Question 20

20.

A model of building is made with a scale factor of 1 : 50. Find the actual height of the building if the height of the model is 3 cm.

(i)

9.50 m
(ii)

0.50 m
(iii)

2.50 m
(iv)

1.50 m
(v)

3.50 m

Question 21

21.

A model of building is made with a scale factor of 1 : 80. Find the volume of the tank on the top of the model if its actual volume is 314432000 cu.cm.

(i)

612.12 cu.cm
(ii)

616.12 cu.cm
(iii)

613.12 cu.cm
(iv)

614.12 cu.cm
(v)

615.12 cu.cm

Assignment Key