Similarity Past Paper Questions - Answers

SIMILARITY PAST PAPER QUESTIONS - ANSWERS

Similar Triangles

1.12 × SF = 102.4·5 × SF = 33.5 × SF = 20

SF = SF = SF = 20 ÷ 5 = 4

6 × SF = BE8·4 × SF = CD12 × SF = h

BE = 6 × = 5cmCD = 8·4 × = 5·6mh = 12 × 4 = 48m

4.Figure 1Figure 25.40 × SF = 75

1·5 × SF = 12 × SF = 6SF =

SF = SF = 6 ÷ 2 = 3

48 × SF = length

6 × SF = PB1 × SF = hlength = 48 × = 90cm

PB = 6 × = 4h = 1 × 3 = 3m

It does meet with Micks requirements

AP = 6 – 4 = 2mas 90cm > 80cm

Similar Areas

1.0·8 × SF = 42.4 × SF = 10

SF = = 5SF = 10 ÷ 4 = 2·5

ASF = 52 = 25ASF = 2·52 = 6·25

0·6 × ASF = Larger Area18 × ASF = Larger Area

Larger Area = 0·6 × 25 = 15 cm2Larger Area = 18 × 6·25 = 112·5cm2

3.24 × SF = 304.90 × SF = 125

SF = 30 ÷ 24 = 1·25SF = 125 ÷ 90 = 1·388888…

ASF = 1·252 = 1·5625ASF = 1·929

400 × ASF = Area SPR

Area SPR = 400 × 1·5625 = 625Area of panel B will be 1·929 times the area of

Blue Area = 625 – 400 = 225cm2panel A. Therefore claim not justified.

Similar Volumes

1.14 × SF = 212.6 × SF = 9

SF = 21 ÷ 14 = 1·5SF = 9 ÷ 6 = 1·5

VSF = 1·53 = 3·375VSF = 1·53 = 3·375

160 × VSF = Larger Vol30 × VSF = Larger Vol

Larger Vol = 160 × 3·375 = 540mlLarger Vol = 30 × 3·375 = 101·25ml

3.20 × SF = 304.15 × SF = 24

SF = 30 ÷ 20 = 1·5SF = 24 ÷ 15 = 1·6

VSF = 1·53 = 3·375VSF = 1·63 = 4·096

0·8 × VSF = Larger Vol750 × VSF = Larger Vol

Larger Vol = 0·8 × 3·375 = 2·7LLarger Vol = 750 × 4·096 = 3072cm3

5.200 × VSF = 1600

VSF = 1600 ÷ 200 = 8

SF = = 2

12 × SF = h

h = 12 × 2 = 24cm