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Form 2 Mathematics similarity and enlargement online lessons
Lesson on enlargement, centre of enlargement and linear scale factor
(12m 15s)
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1.
Similarity and enlargement: Similar figures
2.
Lesson on enlargement, centre of enlargement and linear scale factor
3.
Finding the center of enlargement
4.
similarity and enlargement lesson on scale factor
5.
Lesson on translation vector
6.
The volume scale factor of two similar cylinders is 27. Find the: (a) linear scale factor. (b) area scale factor.
7.
The corresponding sides of two similar blocks of wood measure 15 cm and 3 cm. Find the ratio of their volumes.
8.
A spherical balloon 5 cm in diameter is inflated so that its diameter is 10 cm. By what factor has the volume increased?
9.
The corresponding lengths of two similar iron bars are 5 cm and 15 cm. (a) Find the ratio of their masses. (b) If the smaller iron bar has a mass of 12 kg, determine the mass of the large bar.
10.
A spherical solid lid oil diameter 12.0 cm weighs 6.4 kg. Calculate the mass of a similar solid of a diameter 10.0 cm.
11.
The heights of two similar pails are 12 cm and 8 cm. The larger pail can hold 2 litres. Find the capacity of the smaller pail.
12.
The mass of fat in two similar tins are 2 000 g and 500 g respectively, If the area of the base of the smaller tin is #100 cm^2#, find the area of the base of the larger tin.
13.
A soft drink manufacturing company makes a giant model bottle 2 m long as the factory symbol. If the real bottle from the factory is 20 cm long and has a volume of 300 #cm^3#, find the volume of the model in #cm^3#.
14.
The shortest side of a triangle is 12 cm and the area of the triangle is 8 #cm^2#. A similar triangle has an area of 18 #cm^2#. Calculate the shortest side of this triangle.
15.
The volumes of two similar cans are 96 #cm^3# and 1 500 #cm^3#. Find the ratio of: (a) their heights. (b) the area of their curved surfaces. .
16.
The radius of a soap bubble increases by 4%. Calculate the percentage increase in its: (i) surface area. (ii) volume (to three significant figures).
17.
The corresponding sides of two similar figures measure 16 cm and 24 cm respectively. Calculate the ratio of: (a) their perimeters. (b) their areas.
18.
In figure below, VAB, VCD and VEF are similar cones. Their radii are 14 cm, 10.5 cm and 7 cm respectively. If the height of VAB is 42 cm, calculate: (a) the heights of the cones VCD and VEF. (b) (i) the ratio of the curved surface areas of cones VCD and VEF. (ii) the ratio of their volumes.
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