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© T Madas. 16 unshaded 4 unshaded What proportion of the shape is shaded? For every shaded square, how many unshaded squares are there? For 4 shaded For.

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Presentation on theme: "© T Madas. 16 unshaded 4 unshaded What proportion of the shape is shaded? For every shaded square, how many unshaded squares are there? For 4 shaded For."— Presentation transcript:

1 © T Madas

2 16 unshaded 4 unshaded What proportion of the shape is shaded? For every shaded square, how many unshaded squares are there? For 4 shaded For 1 shaded 1 : 4

3 © T Madas A ratio is an expression which allows us to compare quantities. Usually the words connected with ratio are “… for every …” It behaves very much like a fraction We can find equivalent ratios the same way we find equivalent fractions

4 Blue : Orange 2 : 4 1 : 2 For every blue square there are 2 orange squares Blue : Orange 3 : 9 1 : 3 For every blue square there are 3 orange squares

5 © T Madas Blue : Orange 4 : 6 2 : 3 For every 2 blue squares there are 3 orange squares Blue : Orange 6 : 8 3 : 4 For every 3 blue squares there are 4 orange squares

6 © T Madas Blue : Orange 6 : 15 2 : 5 For every 2 blue squares there are 5 orange squares For every blue square there are 4 orange squares Blue : Orange 2 : 8 1 : 4

7 © T Madas Blue : Orange : Red 2 : 8 : 4 1 : 4 : 2 For every blue square there are 4 orange and 2 red squares For every blue square there are 3 orange and 1 red square. Blue : Orange : Red 4 : 12 : 4 1 : 3 : 1

8 © T Madas

9 There were 12 sunny days and 18 rainy days last month. Write the ratio of sunny days to rainy days in its simplest form. 12 : 18 ÷ 6 2 : 3 Mr Davis owns 4 pairs of grey socks and 10 pairs of black socks. Write the ratio of grey socks to black socks in its simplest form. 4 : 10 ÷ 2 2 : 5 For every 2 sunny days there were 3 rainy days For every 2 grey pairs, he owns 5 black pairs.

10 © T Madas 8MB has 12 boys and 16 girls. Write the ratio of boys to girls in this class in its simplest form A shirt consists of 70% cotton and 30% nylon. Write for this shirt its ratio of cotton to nylon in its simplest form. 12 : 16 ÷ 4 3 : 4 70 : 30 ÷ 10 7 : 3 For every 3 boys there are 4 girls. For every 7 parts cotton there are 3 parts nylon.

11 © T Madas

12 x 10 1.5 : 2.4 15 : 24 ÷ 3 5 : 8 x 10 1.2 : 2 12 : 20 ÷ 4 3 : 5 x 10 1.2 : 3 : 3.6 12 : 30 : 36 ÷ 6 2 : 5 : 6 x 10 ÷ 6 Cancel down ( simplify ) these ratios

13 © T Madas x 2 1.5 : 2.5 3 : 5 x 10 1.5 : 2 15 : 20 ÷ 5 3 : 4 Cancel down ( simplify ) these ratios x 100 1.2 : 1.25 120 : 125 ÷ 5 24 : 25

14 © T Madas Cancel down ( simplify ) these ratios 3535 3434 : x 100 0.6 : 0.75 ÷ 15 60 : 75 4 : 5 1212 3434 : x 2 0.5 : 0.75 x 2 1 : 1.5 2 : 3

15 © T Madas

16 What is the ratio of shaded parts to unshaded parts?

17 © T Madas What is the ratio of shaded parts to unshaded parts?

18 © T Madas What is the ratio of shaded parts to unshaded parts?

19 © T Madas

20 What is the ratio of shaded parts to unshaded parts?

21 © T Madas What is the ratio of shaded parts to unshaded parts?

22 © T Madas What is the ratio of shaded parts to unshaded parts?

23 © T Madas

24 10 : 15 ÷ 5 2 : 3 12 : 16 ÷ 4 3 : 4 4 : 10 ÷ 2 2 : 5 5 : 15 ÷ 5 1 : 3 3 : 12 ÷ 3 1 : 4 8 : 12 ÷ 4 2 : 3 Cancel down ( simplify ) these ratios

25 © T Madas 15 : 25 ÷ 5 3 : 5 12 : 32 ÷ 4 3 : 8 4 : 14 ÷ 2 2 : 7 15 : 18 ÷ 3 5 : 6 3 : 24 ÷ 3 1 : 8 8 : 72 ÷ 8 1 : 9 Cancel down ( simplify ) these ratios

26 © T Madas 40 : 25 ÷ 5 8 : 5 8 : 36 ÷ 4 2 : 9 42 : 24 ÷ 6 7 : 4 3 : 18 ÷ 3 1 : 6 9 : 30 ÷ 3 3 : 10 25 : 60 ÷ 5 5 : 12 Cancel down ( simplify ) these ratios

27 © T Madas 40 : 25 : 10 ÷ 5 8 : 5 : 2 ÷ 5 9 : 12 : 30 ÷ 3 3 : 4 : 10 ÷ 3 2 : 6 : 8 ÷ 2 1 : 3 : 4 ÷ 2 8 : 20 : 8 ÷ 4 2 : 5 : 2 ÷ 4 Cancel down ( simplify ) these ratios

28 © T Madas 18 : 30 : 12 ÷ 6 3 : 5 : 2 ÷ 6 15 : 12 : 24 ÷ 3 5 : 4 : 8 ÷ 3 14 : 21 : 28 ÷ 7 2 : 3 : 4 ÷ 7 8 : 40 : 16 ÷ 8 1 : 5 : 2 ÷ 8 Cancel down ( simplify ) these ratios

29 © T Madas x 10 1.5 : 2.4 15 : 24 ÷ 3 5 : 8 x 10 1.2 : 2 12 : 20 ÷ 4 3 : 5 x 10 1.2 : 3 : 3.6 12 : 30 : 36 ÷ 6 2 : 5 : 6 x 10 ÷ 6 Cancel down ( simplify ) these ratios

30 © T Madas

31 10 : 15 ÷ 5 2 : 3 12 : 16 ÷ 4 3 : 4 4 : 10 ÷ 2 2 : 5 5 : 15 ÷ 5 1 : 3 3 : 12 ÷ 3 1 : 4 8 : 12 ÷ 4 2 : 3 Cancel down ( simplify ) these ratios

32 © T Madas 15 : 25 ÷ 5 3 : 5 12 : 32 ÷ 4 3 : 8 4 : 14 ÷ 2 2 : 7 15 : 18 ÷ 3 5 : 6 3 : 24 ÷ 3 1 : 8 8 : 72 ÷ 8 1 : 9 Cancel down ( simplify ) these ratios

33 © T Madas 40 : 25 ÷ 5 8 : 5 8 : 36 ÷ 4 2 : 9 42 : 24 ÷ 6 7 : 4 3 : 18 ÷ 3 1 : 6 9 : 30 ÷ 3 3 : 10 25 : 60 ÷ 5 5 : 12 Cancel down ( simplify ) these ratios

34 © T Madas 40 : 25 : 10 ÷ 5 8 : 5 : 2 ÷ 5 9 : 12 : 30 ÷ 3 3 : 4 : 10 ÷ 3 2 : 6 : 8 ÷ 2 1 : 3 : 4 ÷ 2 8 : 20 : 8 ÷ 4 2 : 5 : 2 ÷ 4 Cancel down ( simplify ) these ratios

35 © T Madas 18 : 30 : 12 ÷ 6 3 : 5 : 2 ÷ 6 15 : 12 : 24 ÷ 3 5 : 4 : 8 ÷ 3 14 : 21 : 28 ÷ 7 2 : 3 : 4 ÷ 7 8 : 40 : 16 ÷ 8 1 : 5 : 2 ÷ 8 Cancel down ( simplify ) these ratios

36 © T Madas x 10 1.5 : 2.4 15 : 24 ÷ 3 5 : 8 x 10 1.2 : 2 12 : 20 ÷ 4 3 : 5 x 10 1.2 : 3 : 3.6 12 : 30 : 36 ÷ 6 2 : 5 : 6 x 10 ÷ 6 Cancel down ( simplify ) these ratios

37 © T Madas

38 Which of the following ratios is the odd one out? 2 : 34 : 614 : 216 : 824 : 36 16 : 1220 : 154 : 328 : 213 : 4 12 : 306 : 155 : 210 : 254 : 10 20 : 704 : 1410 : 356 : 216 : 16 8 : 126 : 1021 : 3515 : 259 : 15 2 : 816 : 656 : 2180 : 3032 : 12

39 © T Madas Which of the following ratios is the odd one out? 6 : 98 : 1020 : 2512 : 1524 : 30 8 : 628 : 215 : 440 : 3020 : 15 4 : 182 : 105 : 256 : 303 : 15 32 : 2024 : 1580 : 5016 : 105 : 3 30 : 206 : 48 : 615 : 109 : 6 10 : 425 : 1012 : 615 : 650 : 20

40 © T Madas Which of the following ratios is the odd one out? 0.2 : 0.34 : 61.4 : 2.11.6 : 1.82 : 3 2.4 : 1.82.8 : 2.10.5 : 0.440 : 304 : 3 1.2 : 30.6 : 1.50.5 : 0.21 : 2.50.4 : 1 32 : 202.4 : 1.58 : 51.6 : 11.5 : 0.9 0.8 : 1.20.6 : 121 : 351.5 : 2.53 : 5 1 : 0.42.5 : 11.2 : 0.65 : 310 : 6

41 © T Madas

42 Which of the following ratios is the odd one out? 2 : 34 : 614 : 216 : 824 : 36 16 : 1220 : 154 : 328 : 213 : 4 12 : 306 : 155 : 210 : 254 : 10 20 : 704 : 1410 : 356 : 216 : 16 8 : 126 : 1021 : 3515 : 259 : 15 2 : 816 : 656 : 2180 : 3032 : 12

43 © T Madas Which of the following ratios is the odd one out? 6 : 98 : 1020 : 2512 : 1524 : 30 8 : 628 : 215 : 440 : 3020 : 15 4 : 182 : 105 : 256 : 303 : 15 32 : 2024 : 1580 : 5016 : 105 : 3 30 : 206 : 48 : 615 : 109 : 6 10 : 425 : 1012 : 615 : 650 : 20

44 © T Madas Which of the following ratios is the odd one out? 0.2 : 0.34 : 61.4 : 2.11.6 : 1.82 : 3 2.4 : 1.82.8 : 2.10.5 : 0.440 : 304 : 3 1.2 : 30.6 : 1.50.5 : 0.21 : 2.50.4 : 1 32 : 202.4 : 1.58 : 51.6 : 11.5 : 0.9 0.8 : 1.20.6 : 121 : 351.5 : 2.53 : 5 1 : 0.42.5 : 11.2 : 0.65 : 310 : 6

45 © T Madas

46 Which two of the following ratios form a pair? 12 : 189 : 1214 : 286 : 812 : 15 9 : 1210 : 156 : 1028 : 213 : 4 30 : 1016 : 125 : 210 : 615 : 6 24 : 488 : 3210 : 305 : 126 : 24 8 : 126 : 1020 : 3510 : 159 : 18 2 : 816 : 2421 : 355 : 204 : 1

47 © T Madas Which two of the following ratios form a pair? 12 : 216 : 107 : 149 : 154 : 6 8 : 1210 : 126 : 103 : 46 : 9 32 : 1616 : 125 : 210 : 625 : 10 24 : 488 : 3212 : 305 : 153 : 12 10 : 126 : 1015 : 1820 : 309 : 12 8 : 1016 : 2421 : 3512 : 153 : 4

48 © T Madas Which two of the following ratios form a pair? 4 : 50.6 : 10.7 : 1.40.9 : 1.52 : 3 0.8 : 1.21 : 1.20.6 : 13 : 46 : 9 48 : 161.6 : 1.25 : 21 : 0.62.5 : 1 2.4 : 4.80.8 : 3.21.2 : 30.5 : 1.56 : 24 1 : 1.60.6 : 120 : 305 : 89 : 12 0.8 : 18 : 1221 : 304 : 512 : 30

49 © T Madas

50 Which two of the following ratios form a pair? 12 : 189 : 1214 : 286 : 812 : 15 9 : 1210 : 156 : 1028 : 213 : 4 30 : 1016 : 125 : 210 : 615 : 6 24 : 488 : 3210 : 305 : 126 : 24 8 : 126 : 1020 : 3510 : 159 : 18 2 : 816 : 2421 : 355 : 204 : 1

51 © T Madas Which two of the following ratios form a pair? 12 : 216 : 107 : 149 : 154 : 6 8 : 1210 : 126 : 103 : 46 : 9 32 : 1616 : 125 : 210 : 625 : 10 24 : 488 : 3212 : 305 : 153 : 12 10 : 126 : 1015 : 1820 : 309 : 12 8 : 1016 : 2421 : 3512 : 153 : 4

52 © T Madas Which two of the following ratios form a pair? 4 : 50.6 : 10.7 : 1.40.9 : 1.52 : 3 0.8 : 1.21 : 1.20.6 : 13 : 46 : 9 48 : 161.6 : 1.25 : 21 : 0.62.5 : 1 2.4 : 4.80.8 : 3.21.2 : 30.5 : 1.56 : 24 1 : 1.60.6 : 120 : 305 : 89 : 12 0.8 : 18 : 1221 : 304 : 512 : 30

53 © T Madas

54 Martha is 12 and her younger brother Jake is 6. 1.Write the ratio of Martha’s age : Jake’s age in its simplest form. 2.Write the ratio of Martha’s age : Jake’s age in its simplest form, in 4 years time. 3.Write the ratio of Martha’s age : Jake’s age in its simplest form, when Jake will be 24 years old. now: M:J 12:6 ÷6÷6 ÷6÷6 2:1 in 4 years: M:J 16:10 ÷2÷2 ÷2÷2 8:5 when Jake is 24: M:J 30:24 ÷6÷6 ÷6÷6 5:4

55 © T Madas

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