Functional Skills Mathematics - Yolamynvqresources.yolasite.com/resources/LR 11... · Exercise 1...

Level 2

Functional SkillsMathematics

Learning Resource 11Units of Measure

MSS1/L2.3-6

UNITS OF MEASURE LEVEL 2

©West Nottinghamshire College 2

Excellence in skills development

11

Contents

Length MSS1/L2.3 Pages 3 - 5 MSS1/L2.5 MSS1/L2.6 Weight MSS1/L2.3 Pages 6 - 8 MSS1/L2.5 MSS1/L2.6 Capacity MSS1/L2.3 Pages 9 - 11 MSS1/L2.5 MSS1/L2.6 Distance MSS1/L2.3 Page 12 MSS1/L2.5 MSS1/L2.6 Using a Distance Conversion Graph MSS1/L2.6 Page 13 Temperature MSS1/L2.4 Page 14 Temperature Conversion Scales MSS1/L2.4 Page 15


MSS1/L2.3 MSS1/L2.5 MSS1/L2.6 11

Excellence in skills development Information Length mm = millimetres cm = centimetres m = metres 10 mm = 1 cm 100 cm = 1 m 1000 m = 1 km To convert centimetres to millimetres, multiply by 10. To convert metres to centimetres, multiply by 100. ins = inches ft = feet yds = yards 12 ins = 1 ft 3 ft = 1 yd 1760 yds = 1 mile To convert feet to inches, multiply by 12. To convert yards to feet, multiply by 3.

To convert kilometres to miles, divide by 8 and multiply by 5. To convert miles to kilometres, multiply by 8 and divide by 5. Useful information when making estimations about length: A yard is a little less than 1 metre. A foot is about 30 cm.

An inch is about 2 21 cm.

1 kilometre = 85 mile.

Examples To convert 5 cm to mm 5 cm = 5 x 10 = 50 mm To convert 3 m to cm 3 m = 3 x 100 = 300 cm To convert 5 ft to ins 5 ft = 5 x 12 = 60 ins To convert 3 yds to ft 3 yds = 3 x 3 = 9 ft To convert 24 kilometres to miles

824 × 5 = 15 miles.



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11Excellence in skills development

Exercise 1 Length A ruler, a tape measure or measuring rod showing units in imperial and metric are necessary for this exercise, plus various items for measuring. Round to the nearest whole number in each question. 1) Measure a few small items around you, so that you get an idea of what 1 cm, 10 cm and 20 cm measurements look like. Measure the same items in inches.

Estimate the following lengths in: centimetres inches

a) length of this sheet

b) length of your desk or table

c) width of a book

d) length of your pen

e) the distance from the tip of your finger to your elbow Now check your answers by using a ruler or tape measure.

2) Measure a few large items around you e.g. a wall or window; so that you get an

idea of what 1 m, 5 m and 10 m measurements look like. Measure the same items in feet.

Estimate the following lengths in: metres feet

a) length of the room

b) length of a corridor

c) width of a door

d) height of a door

e) length of a drive (from the gate to the door)

Now check your answers by using a tape measure or measuring rod. (You may need someone to help you).

3) Convert the measurements from question 2 to: centimetres inches a) length of the room

b) length of a corridor

c) width of a door

d) height of a door

e) length of a drive (from the gate to the door)





Exercise 2 Length 1) A picture frame measures 870 mm. What is this in: a) centimetres b) metres 2) Estimate the following. a) 5 yards = approximately _____ m

b) 3 feet = approximately _____ cm

c) 5 inches = approximately _____ cm

d) 7 miles = approximately _____ km

e) 12 inches = approximately _____ cm 3) Jenny has 3 rolls of wallpaper border. Each roll measures 5000 mm. The perimeter

of the room is 15.75 metres. Will there be enough border for this room? Yes / No 4) Put these in order of size, starting with the smallest. 250 mm 185 cm 1 km 500 m 1100 m 1875 mm 5) Complete these calculations. Give your final answers in metres. a) 2.5 m + 67 mm + 15 cm b) 1.5 km + 1250 cm + 550 m c) 18.5 m - 175 cm d) 1.2 km - 8025 cm 6) Gemma needs to buy ribbon for her fancy cushions. She has worked out she

needs lengths measuring; 24 inches, 16 inches and 10 inches. a) In total, how much is this in feet and inches? b) If Gemma buys 1 yard, has she bought enough? Yes / No


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Excellence in skills development Information Weight

g = gram kg = kilogram

1000 g = 1 kg

oz = ounce lb = pound (weight)

16 oz = 1 lb

Conversion Table: Pounds to Kilograms (Rounded to 2 decimal places.)

Pounds (lb)

Kilograms (kg)

Pounds (lb)

Kilograms (kg)

1 0.45 10 4.54 2 0.91 20 9.07 3 1.36 30 13.61 4 1.81 40 18.14 5 2.27 50 22.68 6 2.73 60 27.27 7 3.18 70 31.75 8 3.63 80 36.29 9 4.08 90 40.82

Ounces

(oz) Grams

(g) Ounces

(oz) Grams

(g) 1 28.35 10 283.50 2 56.70 20 567.00 3 85.05 30 850.50 4 113.40 40 1134.00 5 141.75 50 1417.50 6 170.10 60 1701.00 7 198.45 70 1984.50 8 226.80 80 2268.00 9 255.15 90 2551.50

Useful information when making estimations about weight:

21 kg is just a little more than 1 lb;

1 kg is just a little more than 2 lb. Examples To convert 1.5 kg to g 1.5 kg = 1.5 x 1000 = 1500 g To convert 3 lb to oz 3 lb = 3 x 16 = 48 oz To convert 12 pounds to kilograms using the table above.

12 lb = 10 lb + 2 lb = 4.54 kg + 0.91 kg = 5.45 kg






Exercise 3 Weight A set of kitchen and bathroom scales showing units in imperial and metric are necessary for this exercise, plus various items for weighing. 1) Weigh a few small grocery items (e.g. bag of sugar, tin of beans) in grams, so that

you get an idea of what these weights feel like. Weigh the same items in ounces. Estimate the following weights in: grams ounces a) a mobile telephone

b) a waste paper basket

c) a saucepan

d) a vase

e) a bag of sugar

Now check using a set of kitchen scales. 2) Convert the weight of these items to: kilograms pounds & ounces a) a mobile telephone

b) a waste paper basket

c) a saucepan

d) a vase

e) a bag of sugar

3) Estimate the following weights in: kilograms pounds (lbs) a) your weight

b) an iron

c) a brick

d) a bowl full of water

Now check your answers using a set of bathroom scales. (This question may have to be done at home).

4) Convert the weight of these items to: grams ounces a) your weight

b) an iron

c) a brick

d) a bowl full of water


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Excellence in skills development Exercise 4 Weight 1) Using the conversion table from page 6, convert the following quantities in pounds

to kilograms: a) 13 lb b) 22 lb c) 34 lb

d) 56 lb e) 78 lb f) 97 lb

2) Put these parcels in order of size, starting with the largest.


6 kg 350 g 6.02 kg 6.6 kg 6400 g 6 21 kg

3) What is the weight shown on each of the scales below? Give an example of what

could be weighed on each scale. a) b) c) d)


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Excellence in skills development Information Capacity

ml = millilitre cl = centilitre l = litre

1000 ml = 1 litre 100 cl = 1 litre

fl oz = fluid ounce pt = pint gal = gallon

20 fl oz = 1 pt 8 pt = 1 gal

Conversion Table: Fluid Ounces to Millilitres (Rounded to nearest ml.)

Fluid Ounces (fl oz)

Millilitres (ml)

Fluid Ounces (fl oz)

Millilitres (ml)

1 28 11 313 2 57 12 341 3 85 13 369 4 114 14 398 5 142 15 426 6 170 16 455 7 199 17 483 8 227 18 511 9 256 19 540

10 284 20 (1 pint) 568 Useful information when making estimations about capacity: 1 litre = almost 2 pints

1 gallon = about 421 litres

Examples To convert 5 l to cl 5 l = 5 x 100 = 500 cl

To convert 3 l to ml 3 l = 3 x 1000 = 3000 ml

To convert 4 gal to pt 4 gal = 4 x 8 = 32 pt

To convert 8 pt to fl oz 8 pt = 8 x 20 = 160 fl oz

To convert 12 fl oz to millilitres/litres using the table.

12 fl oz = 341 ml = 0.341 litres



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Excellence in skills development Exercise 5 Capacity A measuring jug showing units in imperial and metric, is necessary for this exercise. 1) Using a measuring jug, measure 1 litre of water, so that you get an idea of what this

capacity looks like. Look at the same capacity in imperial units (pints).

Estimate how much liquid the following hold in: litres pints

a) a bucket

b) a washing up bowl

c) a saucepan

d) a vase

Now check your answers using a measuring jug. 2) Convert the capacity of these items to: millilitres fluid ounces

a) a bucket

b) a washing up bowl

c) a saucepan

d) a vase 3) Using the conversion table from the previous page, convert the following quantities

in fluid ounces/pints to: millilitres litres (to 2 d.p.)

a) 6 fl oz

b) 34 fl oz

c) 2 fl oz

d) 1 pint

e) 21 pint

f) 41 pint

4) Put these in order of size, starting with the smallest.



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Excellence in skills development Exercise 6 Capacity

1) A recipe says you will need 43 of a pint of milk. Approximately how many fluid

ounces will this be?


2)

1 2 3 4 5

3 41 litres 190 cl 2

43 litres 1800 ml 3.3 litres

a) What is the total capacity of the liquid in the 5 containers? b) What is the difference in capacity between the least full and most full

container? c) Which 2 containers have a total capacity of liquid of 4.65 litres? 3) Complete the table using the conversion information on page 9, correct to 1 d.p.

Average Water Usage Gallons Litres Toilet: per flush 1.6 1 minute shower 15 3 minute shower Bath 22

4) All these buckets have water in them. Put them in the order of size, starting with the

smallest capacity. 5) James buys a 2 litre carton of milk. Each day he aims to drink 48 centilitres. Has he

got enough milk for 4 days?


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Excellence in skills development Information Distance

m = metre km = kilometre

1000 m = 1 km

yds = yards 1760 yds = 1 mile To convert kilometres to miles, divide by 8 and multiply by 5.

To convert miles to kilometres, multiply by 8 and divide by 5.

Useful information when making estimations about distance: 1 kilometre =

85 mile.

Example 24 kilometres =

824 × 5 = 15 miles.

Exercise 7 1) Convert the following kilometres to miles:

a) 72 km

b) 44 km c) 516 km d) 139 km

2) Danny has recorded his mileage over a week.

Miles Day Mon Tues Wed Thur Fri

Mileage 453 41 128 44

21 327 129

41

a) How many miles in total, did he travel? b) Convert your answer to kilometres. (Round to the nearest kilometre.)



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Excellence in skills development Information Using a Distance Conversion Graph CONVERSION GRAPH

Miles per hour to kilometres per hour


0 20 40 60 80

100 120 140 160 180

K

ILO

MET

RES

PER

HO

UR

(km

/hr)

10 20 30 40 50 60 70 80 90 100MILES PER HOUR (mph)

Example

50 mph = 80 km/hr Formulae: K =5M8 , M =

8K5

Exercise 8 Using a Distance Conversion Graph 1) Use the conversion graph or the formula to convert the following from mph to km/hr.

Round to nearest whole number.

a) 20 mph e) 70 mph

b) 40 mph f) 85 mph

c) 80 mph g) 35 mph

d) 10 mph h) 15 mph

2) Use the conversion graph or the formula to convert the following from km/hr to mph. Round to nearest whole number.

a) 10 km/hr e) 65 km/hr

b) 50 km/hr f) 105 km/hr

c) 90 km/hr g) 145 km/hr

d) 130 km/hr h) 37 km/hr


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Excellence in skills development Information Temperature To convert Celsius (Centigrade) to Fahrenheit, multiply the Celsius temperature reading by

59 , and then add 32.

C x 59 + 32 = F

To convert Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature, and then multiply by

95 .

(F - 32) x 95 = C

Exercise 9 Round to the nearest whole number. 1) Convert the following Celsius temperatures to Fahrenheit:

a) 9 °C Moscow ______ °F


b) 28 °C Sydney ______ °F c) 3 °C Helsinki ______ °F

d) 32 °C Brisbane ______ °F 2) Convert the following Fahrenheit temperatures to Celsius (Centigrade):

a) 37 °F New York ______ °C b) 90 °F Perth ______ °C c) 41 °F London ______ °C

d) 70 °F Wellington ______ °C


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Excellence in skills development

Exercise 10 Temperature Conversion Scales 1) Using the thermometer or the formula on the previous page, convert the following

temperatures in Celsius (°C) to Fahrenheit (°F), to the nearest degree:

a) 20 °C

b) 60 °C

c) 100 °C

d) 10 °C

e) 50 °C

f) 90 °C

g) 5 °C

h) 35 °C 2) Using the thermometer or the formula

on the previous page, convert the following temperatures in Fahrenheit (°F) to Celsius (°C), to the nearest degree:

a) 40 °F

b) 80 °F

c) 120 °F

d) 160 °F

e) 16 °F

f) 70 °F

g) 110 °F

h) 22 °F


Functional Skills Mathematics - Yolamynvqresources.yolasite.com/resources/LR 11... · Exercise 1...

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Transcript of Functional Skills Mathematics - Yolamynvqresources.yolasite.com/resources/LR 11... · Exercise 1...