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1 Whiteboardmaths.com © 2007 All rights reserved 5 7 2 1

2 Gallons to litres To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1%. Metric/Imperial Measures (Capacity). 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 200 ml 1 Gallon

3 To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 l1 l 1 Gallon

4 2 l2 l To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 l1 l 1 Gallon

5 2 l2 l 1 l1 l 3 l3 l To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 Gallon

6 2 l2 l 1 l1 l 3 l3 l 4 l4 l To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 Gallon

7 2 l2 l 1 l1 l 3 l3 l 4 l To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 4½ l 4½ litres 1 Gallon

8 To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 4½ litres 1 Gallon Find the number of litres in the following containers; 2 Gallons 2 x 4½ = 9 litres 3 Gallons 3 x 4½ = 13½ litres (a) (b)

9 To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 4½ litres 1 Gallon Find the number of litres in the following containers; 2.3 x 4½ = 10.35 litres 4.1 Gallons 4.1 x 4½ = 18.45 litres (a) (b) 2.3 Gallons

10 To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 4½ litres 1 Gallon Find the number of litres in the following containers; 0.5 x 4½ = 2.25 litres 5.4 x 4½ = 24.3 litres (a) (c) 0.5 Gallons 0.8 Gallons 0.8 x 4½ = 3.6 litres (b) 5.4 Gallons

11 To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). Find the number of litres in the following containers; 24 x 4½ = 108 litres 56 x 4½ = 252 litres (a) (b) 24 Gallons 56 Gallons 4½ litres 1 Gallon

12 QuestionGallons Litres 11 24 35 410 5½ 616 720 825 950 10100 Complete the table below. Metric/Imperial Measures (Capacity).

13 QuestionGallons Litres 114.5 2418 3522.5 41045 5½2.25 61672 72090 825112.5 950225 10100450 Complete the table below. Metric/Imperial Measures (Capacity).

14 Litres to gallons To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1% Metric/Imperial Measures (Capacity). 4½ litres 1 Gallon 2 Gallons 2 x 4½ = 9 litres 18 Litres 18  4½ = 4 gallons (a) (b) When we converted gallons to litres we multiplied by 4½, when we convert from litres back to gallons we simply do the opposite and divide by 4½.

15 Metric/Imperial Measures (Capacity). 4½ litres 1 Gallon Find the number of gallons in the following containers; 13.5  4½ = 3 gallons 18.45 Litres 18.45  4½ = 4.1 gallons (a) (b) 13.5 Litres To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1%

16 Metric/Imperial Measures (Capacity). 4½ litres 1 Gallon Find the number of gallons in the following containers; 2.25  4½ = 0.5 gallons 24  4.5 = 5 and 1/3 gallons (a) (c) 2.25 litres 3.15 litres 3.15  4½ = 0.7 gallons (b) 24 litres To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1%

17 Metric/Imperial Measures (Capacity). Find the number of gallons in the following containers; 162  4½ = 36 gallons 315  4½ = 70 gallons (a) (b) 162 litres 315 litres 4½ litres 1 Gallon To convert between gallons and litres we can use the fact that 1 gallon  4½ litres. This is a good approximation with an error of only about 1%

18 QuestionLitres Gallons 14½ 29 313½ 42¼ 527 636 714.4 856.25 945 10100 Complete the table below to 2 dp where appropriate. Metric/Imperial Measures (Capacity).

19 QuestionLitres Gallons 14½1 292 313½3 42¼½ 5276 6368 714.43.2 856.2512.5 94510 10022.2 Complete the table below to 1 dp where appropriate. Metric/Imperial Measures (Capacity).

20 Litres to pints Since 4½ litres  1 gallon = 8 pints then: Metric/Imperial Measures (Capacity). 1 Gallon 1 litre ½ litre 4½ litres  8 pints So 1 litre  8/4½ pints  1¾ pints. This is a good approximation and has an error of less than 1%. 1 litre  1¾ pints

21 Metric/Imperial Measures (Capacity). Since 4½ litres  1 gallon = 8 pints then: 4½ litres  8 pints So 1 litre  8/4.5 pints  1¾ pints. This is a good approximation to the true value and has an error of less than 1%. 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼ 1 litre  1¾ pints To make very rough, rapid mental calculations between litres and pints you could use the much less accurate approximation of 1 litre  2 pints although this gives an answer that is about 14% too big.

22 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints To make very rough, rapid mental calculations between litres and pints you could use the much less accurate approximation of 1 litre  2 pints although this is about 14% too big. Find the number of pints in each case. 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 3 x 1¾ = 5¼ pints (good) 3 x 2 = 6 pints (very rough)

23 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints To make very rough, rapid mental calculations between litres and pints you could use the much less accurate approximation of 1 litre  2 pints although this is about 14% too big. Find the number of pints in each case. 4 x 1¾ = 7 pints (good) 4 x 2 = 8 pints (very rough) 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml

24 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints To make very rough, rapid mental calculations between litres and pints you could use the much less accurate approximation of 1 litre  2 pints although this is about 14% too big. Find the number of pints in each case. 1.6 x 1.75 = 2.8 pints (good) 1.6 x 2 = 3.2 pints (very rough) 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml

25 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints To make very rough, rapid mental calculations between litres and pints you could use the much less accurate approximation of 1 litre  2 pints although this is about 14% too big. Find the number of pints in each case. 2.8 x 1.75 = 4.9 pints (good) 2.8 x 2 = 5.6 pints (very rough) 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml

26 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints To make very rough, rapid mental calculations between litres and pints you could use the much less accurate approximation of 1 litre  2 pints although this is about 14% too big. Find the number of pints in each case. 9 x 1.75 = 15.75 pints (good) 15.4 Litres 9 Litres 9 x 2 = 18 pints (very rough) 15.4 x 1.75 = 26.95 pints (good) 15.4 x 2 = 30.8 pints (very rough)

27 QuestionLitresPints (good) Pints (very rough) 11 22 34 48 510 6½ 7¾ 816 956 10100 Complete the table below. Metric/Imperial Measures (Capacity).

28 QuestionLitresPints (good) Pints (very rough) 111¾2 223½4 3478 481416 51017.520 6½0.8751 7¾1.31251½ 8162832 95698112 10100175200 Complete the table below. Metric/Imperial Measures (Capacity).

29 Pints to litres Metric/Imperial Measures (Capacity). 1 litre  1¾ pints 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼ 1 litre 200 ml 400 ml 600 ml 800 ml 1 litre 200 ml 400 ml 600 ml 800 ml 2 x 1¾ = 3½ pints (good) When we converted litres to pints we multiplied by 1¾, when we convert from pints back to litres we simply do the opposite and divide by 1¾. (Again dividing by 2 would give only a very rough estimate) 7  1¾ = 4 litres (good) 2 x 2 = 4 pints (very rough) 7  2 = 3½ litres (very rough)

30 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints 14  1¾ = 8 litres (good) 14  2 = 7 litres (very rough) Find the number of litres in each case. 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼

31 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints 56  1¾ = 32 litres (good) 56  2 = 28 litres (very rough) Find the number of litres in each case. 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼

32 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints 3½  1¾ = 2 litres (good) 3½  2 = 1¾ litres (very rough) Find the number of litres in each case. 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼

33 Metric/Imperial Measures (Capacity). 1 litre  1¾ pints 5¼  1¾ = 3 litres (good) 5¼  2 = 2.625 litres (very rough) Find the number of litres in each case. 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼ ¾ ½ ¼

34 Metric/Imperial Measures (Capacity). 72  1¾ = 41.1 litres (good) 72  2 = 36 litres (very rough) 1 litre  1¾ pints 72 Pints Find the number of litres in each case. (1 dp). 1 litre 200 ml 400 ml 600 ml 800 ml 1 pint ¾ ½ ¼ ¾ ½ ¼

35 Questionpintslitres (good) litres (very rough) 11 23.5 37 4½ 510 614 721 835 956 10100 Complete the table below to 2 dp where appropriate. Metric/Imperial Measures (Capacity).

36 Questionpintslitres (good) litres (very rough) 110.57½ 23.521¾ 3743½ 4½0.29¼ 5105.715 61487 7211210½ 8352017½ 9563228 1010057.1450 Complete the table below to 2 dp where appropriate. Metric/Imperial Measures (Capacity).

37 Worksheets QuestionGallons Litres 11 24 35 410 5½ 616 720 825 950 10100 Complete the table below. Metric/Imperial Measures (Capacity). Worksheet 1

38 QuestionLitres Gallons 14½ 29 313½ 42¼ 527 636 714.4 856.25 945 10100 Complete the table below. Metric/Imperial Measures (Capacity). Worksheet 2

39 QuestionLitresPints (good) Pints (very rough) 11 22 34 48 510 6½ 7¾ 816 956 10100 Complete the table below. Metric/Imperial Measures (Capacity). Worksheet 3

40 Questionpintslitres (good) litres (very rough) 11 23.5 37 4½ 510 614 721 835 956 10100 Complete the table below to 2 dp where appropriate. Metric/Imperial Measures (Capacity). Worksheet 4


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