Thee - Weebly

Targeting Maths © Blake Publishing 2012

These units contain exercises to reinforce the concept that size does not always relate directly to mass.

Skills include measuring, estimating, approximating and comparing and ordering masses. Kilograms and grams are used, written in both long and short forms, and are added and subtracted.

Problem solving uses masses in real life situations and also in graphing and money.

Two assessment pages and an activity are included.

51

Mass

52

Middle Primary

Mass

Content DesCriPtionsUsing units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity.

Using units of measurement: ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures.

© Australian Curriculum, Assessment and Reporting Authority 2010

Proficiency StrandsUnderstanding:

• The mass of different items we use every day.

Fluency:

• Read, write, add and compare mass using kilograms on balance and digital scales.

• Write kilograms using the shortened form.

Problem solving:

• Make calculations involving mass.

Reasoning:

• Make conclusions based on presented facts

Languagemass, masses, balance, kilograms, total mass, difference, greatest mass, least mass, estimate, round off

MateriaLsunifix cubes, supermarket catalogues, Base 10 materials, calculators, popsticks

BLM Content• materials needed for each BLM

1.1 Count kilogram mass – add up mass of standard measures as one might do on balance scales. • coloured pencils

1.2 Use abbreviations – use correct shortened form of kilogram and gram.• supermarket catalogues

1.3 Balance the scales – solve problems using mass of animals.• Base 10 materials

1.4 Weighing goods – solve problems involving mass with designated weights and scales; read scales.

1.5 Working with mass – decide what object has a given mass; comparing mass of objects.

1.6 Comparing masses – compare mass, using the kilogram, 20 kg, heaviest, lightest; solve a problem using large masses.

1.7 Assessment

1.8 Activity – Books and Worms

unit 1KilogramsUsing ‘kgs’Estimating massesBalancing and weighingReading masses on scalesComparing masses


Remember• Link with other maths strands,

eg number, including money.

• Be sensitive to student’s feelings regarding their weight.

• Provide many types of experiences where comparison of mass is made so students

realise that quantity is not linked to mass.

• Provide many experiences with informalunits so students come to appreciate the

need for a formal mass unit.

*

53

Mass Unit 1BLM 1.31 a Gorilla + Snake b Gorilla + Komodo Dragon c Tortoise + St Bernard + Snake d 100 kg2 a 11 x 20 kg b 50 kg c 170 kg d 550 kg3 a 50 kg + 50 kg + 10 kg + 10 kg + 10 kg b 6 x 50 kg + 3 x 10 kg c 4 x 50 kg + 2 x 10 kg d 3 x 50 kg + 2 x 10 kg

BLM 1.41 a 4 kg b 4 kg c 2 kg d 1 kg e 8 kg f 3 kg2 a pineapple b apples c sugar3 a 3 kg b 1.5 kg c 5 kg d 5 kg

BLM 1.51 a a chicken b a school bag c a boy2 a a watermelon b a basketball c 2 L water3 a 6 kg + 10 kg + 1 kg + 5 kg b 4, flour, 3, sugar, 2, potatoes, 1, sausages c 22 kg4 Less than 1 kg – 3 kiwi fruit, 2 apples About 1 kg – 5 carrots, 3 oranges, 5 bananas More than 1 kg – 3 pineapples, 1 watermelon

BLM 1.61 sugar, potatoes, laundry detergent, flour, steak2 10 apples, 2 watermelons, 2 soccer boots,

your school bag, a lap-top3 a a cracker biscuit, 3 sandwiches, 1 L milk,

4 L ice cream b a slice of bread, a tomato, 2 onions, a pineapple4 Trixy Tortoise5 Yes6 469 kg, 9 kg

BLM 1.71 Teacher to check.2 24 kg3 a 7 kg b 19 kg c 2 kg d 20 kg4 a a pumpkin b 2 kg steak c a pencil d a truck e an elephant f a pie g 2 L drink h 5 kg5 a 8 kg b 8 kg c 8 kg6 a 1 kg b 1 kg c 2.5 kg

BLM 1.81 4 worms, 8 kg, 4 kg2 7 worms, 6 kg, 3 kg3 7 worms, 10 kg, 5 kg4 3 worms, 4 kg, 2 kg5 4 worms, 10 kg, 5 kg

aDDitionaL aCtivities• Give students many opportunities to estimate and

then check the mass of different objects by using either informal or standard units.

• Encourage students to write their own mass problems and share them with the class.

• Provide students with food catalogues and encourage them to cut out and to group and paste different masses, eg 1 kg, 2 kg, 4 kg.

• If you do not have a student in your class with a weight problem, weigh everyone. Record the results in the form of a graph.

• Provide students with opportunities to heft different kilogram masses.

• Encourage students to look up the Guinness Book of Records to find interesting mass facts. These can be shared with the class.

• Brainstorm and complete a list with the students on items sold by the kilogram. Add to the list when new items are found.

• Encourage students to find out what their mass was as a baby. Record the results.

• Relate mass to everyday situations such as shopping. Make use of catalogues to compare prices and discuss ‘best buys’.

• Provide opportunities for students to compare sizes of packaging for similar masses, eg 1 kg, 2 kg packs.

answersBLM 1.11 Teacher to check.2 a 48 kg b 13 kg c 62 kg

BLM 1.21 a 9 kg b 18 kg c 3 kg d 19 kg

e 4 kg f 11 kg2 b 8 kg c 4 kg g 26 kg h 30 kg

j 46 kg3 a 14 kg b 3 kg c 7 kg d onions

e Teacher to check.4 Teacher to check.


Targeting Maths © Blake Publishing 2012.

Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Fluency: Read, write, add and compare mass using kilograms on balance and digital scales.

name Date

54

1 Colour to show these masses.

a 98 kg

b 54 kg

c 21 kg

d 15 kg

2 Work out these masses.

a

_________________ kg

b

_________________ kg

c

_________________ kg

10 kg 10 kg 10 kg 10 kg 10 kg 10 kg 10 kg 10 kg 10 kg 5 kg 5 kg1 kg 1 kg 1 kg 1 kg 1 kg







Kilogram Masses Mass 1.1


Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Fluency: Read, write, add and compare mass using kilograms on balance and digital scales. Write kilograms using the shortened form.

name Date

55

1 Write the following masses the short way.a 9 kilograms __________________ b 18 kilograms __________________

c three kilograms __________________ d nineteen kilograms __________________0e 4 kilograms __________________ f eleven kilograms __________________

2 Circle the labels that are written correctly.a 8 KG b 8 kg c 4 kgs d 10 kgs e 22 KGf 44 ks g 26 kg h 30 kg i 14 KG j 46 kg

3 Nick went shopping and bought: 3 kg onions 2 kg bananas 1 kg apples 2 kg carrots 2 kg potatoes 2 kg grapes 1 kg cucumbers 1 kg lemons

a What is the total mass? __________________

b What is the total mass of the apples and bananas? __________________

c What is the total mass of the potatoes, carrots and onions? __________________

d What item has the greater mass? ____________________________e Nick carried two bags. Write three ways he could divide these items into two equal bags. _________________________________________________________________________________________________

_________________________________________________________________________________________________

4 Look at catalogues. Find other fruits and vegetables that are not sold by mass.

using shorthand Mass 1.2


Using units of measurement: ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures. Fluency: Read, write, add and compare mass using kilograms on balance and digital scales. Problem solving: Make calculations to solve problems and balance mass. 56

Here is a list of animals and their masses.Gorilla, 170 kg; Siberian Tiger, 190 kg; Snake, 20 kg; Tortoise, 220 kg

St Bernard Dog, 90 kg; African Lion, 330 kg; Komodo Dragon, 160 kg

1 Place animals on the other end of each set of scales to balance them.

Siberian Tiger _____________ +_____________ African Lion ____________ +_____________

African Lion __________ +_________ + _________ Komodo Dragon 60 kg + _____________

2 Use Base 10 materials to complete:

a How many snakes will equal the mass of a Tortoise?

______________________________ x ______________________________ = 220 kg

b What is the difference in mass between the Tortoise and the Gorilla?

______________________________ – ______________________________ = _______________ kg

c What is the difference in mass between the African Lion and the Komodo Dragon?

______________________________ – ______________________________ = _______________ kg

d What is the total mass of the two heaviest animals?

______________________________ + ______________________________ = _______________ kg

3 Draw masses to balance each animal.

a Siberian Tiger b African Lion

c Tortoise d Gorilla

name Date

50 kg

10 kg

Mass 1.3Balance the scales


Using units of measurement: ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures. Fluency: Read, write, add and compare mass using kilograms on balance and digital scales. Reasoning: Make conclusions based on presented facts. 57

name Date

1 How many kilograms will I add to balance each scale?

a b c

d e f

2 Which weighs the most?

a ____________________________ weighs the most

b ____________________________ weighs the most

c ____________________________ weighs the most

3 Read the scales. a b c d

pineapplegrapes

grapesapple

apples bananas

sugarsalt

applesorange

sugarpepper

bananas orange

saltpeper

_____________ _____________ _____________

_____________ _____________ _____________

1 kg2 kg 5 kg

0 kg

2

3 1 ________8 kg

4

6 2 ________0 kg

2

3 1 ________0 kg

10

________

Mass 1.4weighing goods


Using units of measurement: ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures. Understanding: The mass of different items we use every day. Problem solving: Make calculations to solve problems and balance mass. 58

name Date

1 What might be getting weighed on my scales? Tick the correct answer.

a b c

a chicken an apple three books

2 oranges a school bag a pumpkin

loaf of bread a pizza a boy

2 a b c

a bucket a paint brush a coffee cup

a watermelon a basketball 2 L water

Three coins five coins a hot dog

3 I bought 3 packets of sugar, 2 packets flour, 1 kg sausages and a 12 a bag of potatoes.

They weighed _________________ + _________________ + _________________ + _________________

Order these masses from heaviest (4) to lightest (1). What is the total mass?

________________________________________

4 Organise these items into groups of less than 1 kg, about 1 kg and more than 1 kilogram.

3 pineapples, 2 apples, 5 bananas, 3 kiwi fruit, 1 watermelon, 3 oranges, 5 carrots

Less than 1 kg About 1 kg More than 1 kg

2.5 kg

4 kg

6.0 kg

1 kg

42 kg

2 kg

Potatoes10 kg

Sausages 1 kg2 kg

5 kg

Mass 1.5working with Mass


Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Understanding: The mass of different items we use every day. Problem solving: Make calculations involving mass. 59

1 Circle the names of objects we buy in kilograms.

milk books sugar paint potatoes laundry

detergent flour sauce lettuce juice petrol

steak oil socks electricity shampoo

2 Circle the objects that weigh less than 20 kg.

10 apples 2 watermelons a Year 3 boy 2 soccer boots

your school bag a mountain bike a washing machine a lap-top

3 Order these objects from lightest to heaviest, 1 to 4.

a a litre of milk 3 sandwiches a cracker biscuit 4L ice-cream

b a tomato a pineapple 2 onions a slice of bread

4 These are the masses (with cages) of young animals being taken to a new zoo.

Tony Tiger 190 kg Gordy Gorilla 170 kg Trixy Tortoise 153 kg

Wally Wombat 55 kg Teddy Koala 35 kg Nosy Numbat 28 kg

Use a calculator. The zoo’s animal transport truck can carry 500 kg. It was loaded as much as possible but still one animal could not be taken.

Who was it? ________________________________________________________________________________

5 The zoo truck itself weighed 850 kg. The driver weighed 80 kg. He approached a bridge with this sign:

Use a calculator. Could the truck safely drive across? Yes/No

6 The move to the new zoo upset the animals and they lost weight. The animals over 100 kg lost 3 kg each and those under 100 kg lost 1 kg. What is their combined weight now? What is the total of the weight they lost? (Remember, one animal stayed behind and did not lose weight.) __________________

name Date

MAX WEIGHT 1 500 KG

Mass 1.6Comparing Masses


60

name Date

1 Colour the weights that would balance this mass.89 kg

2 Work out this mass.

_______________ kg

3 Use the short form to write these masses.a 7 kilograms _______________ b 19 kilograms _______________

c two kilograms _______________ d twenty kilograms _______________

e 5 kilograms _______________ f twelve kilograms _______________

4 Circle the one which has the greater mass.

a a pumpkin a beach ball b a shoe 2 kg steak

c a pencil a sticker d a truck a family car

e a cow an elephant f a pie a biscuit

g 2 L of drink a cup of coffee h 5 kg a pack of biscuits

5 What must be added to balance the scales?

a b c

6 Read the scales. a b c



2 kg5 kg 10 kg

_____________ _____________ _____________

0 kg

2

_____________0 kg

4

6 2 _____________0 kg

2

3 1 _____________

assessment • Mass Mass 1.7


61

name Date

books and wormsBooks and worms have different masses.The mass of 1 book is always the same as 2 worms.

Work out how many worms are needed to balance the scales for each question.Then write how much each book and worm weighs.

2 If = 21 kg = 21 kg

= =

3 If = 35 kg = 35 kg

= =

4 If + 2 kg = 8 kg + 2 kg = 8 kg

= =

5 If + 2 kg = 16 kg + 2 kg = 16 kg

= =

1 If = 16 kg = 16 kg

= =

=

Mass 1.8activity • Mass

62Targeting Maths © Blake Education 2012

Mass

Content DesCriPtionsUsing units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity.

Using units of measurement: ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures.

© Australian Curriculum, Assessment and Reporting Authority 2010

Proficiency StrandsFluency:

• Order and compare masses of everyday items in standard units of grams and kilograms.

• Read, write and apply mental strategies to work with masses using grams and kilograms.

Problem solving:

• Make calculations to solve problems with money and mass.

Languagemass, masses, abacus, smallest, least, greatest, total, grams, kilograms, estimate, check

MateriaLscoloured pencils, pencils, screws, 20c coins, Base 10 materials, pebbles, supermarket catalogues, calculators, balance and digital scales for demonstration

BLM Content• materials needed for each BLM

2.1 Grams – order; show total grams on an abacus.• coloured pencils

2.2 Make one kilogram – recognise 1 000 g is equivalent to 1 kilogram; add amounts of grams and write in grams and kilograms.

2.3 Measuring – estimate and find different gram masses.• pencils, screws, 20c coins, Base 10 materials,

pebbles.

2.4 Mass – write mass in short form; work out mass problems from a pictorial chart , find masses in a supermarket catalogue.• supermarket catalogues

2.5 Money – mass problems using everyday food items.

2.6 Problem solving – balance scales and work with everyday objects and situations.

2.7 Assessment

Remember• It is important to reinforce

that the size of an object does not necessarily give an indication

of its mass.

• Measuring is a hands-on experience. Allow plenty of

time for slow workers.

unit 2GramsKilogramsMass of everyday itemsEstimatingCalculatingMoney

*

Middle Primary

63Targeting Maths © Blake Education 2012

2 a 400 g b 3 100 g c 7 800 g d 900 g e 2 000 g f 4 4003 a 750 g b 1 200 g c 530 g d 320 g4 a 750 g b 1 kg 200 g c 530 g d 320 g5 a 250 g b nil c 470 g d 680 g6 a 1 kg b 1 kg 20 g c 1 kg 200 g d 1 kg 525 g7 1

4, 12

BLM 2.3 1 Teacher to check.2 a Teacher to check. b dishwasher powder

c salt g kiwi fruit, passionfruit

BLM 2.4 1 a 300 g b 6 g c 1 000 g d 30 g

e 500 g f 4 kg g 4.63 kg h 504 g2 a True b True c True d False e False f False3 Teacher to check.

BLM 2.51 a $15 b $30 c $8 d $4 e $6 f $8 g $8 h $2.40 i $15 j $25 k $6 l $13.50

BLM 2.61 a Pineapple b 1 kg 50 g c 1 kg 650 g d 250 g e 1 kg 270 g f 4 more2 a $2.50, $1, $15 b 12 bags c 125 g d 60 kg e 20 bags f 440 g

BLM 2.71 a 210 g b 794 g c 1.4 kg or 1 kg 400 g d 1.11 kg or 1 kg 110 g2 Teacher to check.3 Teacher to check.4 a 500 g b 250 g c 200 g d 450 g

e 350 g f 250 g g 300 g5 a 4 b 31 kg c 690 g d 140 g

aDDitionaL aCtivities• Allow students many opportunities to investigate

how many 500 g masses balance 1 kg and how many 100 g masses balance 1 kg so they realise, for example that 2 × 500 g standard masses balance 1 kg.

• Investigate, using the balance scales, the mass of everyday items, (eg an orange) when compared with combinations of 500 g and 100 g masses. Encourage hefting before measuring.

• Allow students to make masses, by putting sand into bags or plastic containers until they balance with the standard masses. Students can use these when estimating by hefting and checking the mass of objects.

• Provide opportunities for students to measure the mass of packets full and empty and the contents, eg cardboard packets of pasta. Is there a difference?

• Discuss why some food items are sold in grams and others in kilograms.

• Encourage students to look up reference books or appropriate computer sources to find gram weights of items. Share findings with the class.

• Do lots of cooking with the students to increase their understanding of grams. Have them estimate first before measuring masses.

• Investigate with the class the effect of gravity on mass. Find out what happens to our weight on the moon.

answersBLM 2.1 1 a Teacher to check.

b corn kernels c fruit salad

d salmon, whole tomatoes, corn kernels, pears, baked beans e peaches, tomato soup, lentil soup, fruit salad

2 Teacher to check.3 Teacher to check.

BLM 2.21 a 1.8 kg b 2.7 kg c 1.3 kg d 4.3 kg e 2.1 kg f 3.6 kg

Mass Unit 2

Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Fluency: Order and compare masses of everyday items in standard units of grams and kilograms.

name Date

Mass 2.1

64Targeting Maths © Blake Publishing 2012.

1 a Using the numbers 1–10 order these tins from smallest mass to largest mass.

b Which tin has the smallest mass? ______________________

c Which tin has the greatest mass? ______________________d Which tins have a mass of less than 400 g? ___________________ ___________________ ___________________ ___________________

e Which tins have a mass of more than 400 g? ___________________ ___________________0 ___________________ ___________________

2 Show these grams on the abacus.a b c

lentil soup 794 g corn kernels 110 g tomato soup 420 g3 Choose some masses from the food items and colour the abacus to match.

a b c

Item ___________________ 0 Item ___________________ Item ___________________0000d e f

Item ___________________00 Item ___________________ Item ___________________

Tens OnesHund Tens OnesHund Tens OnesHund



SALMON210 g

FRUIT SALAD825 g

WHOLETOMATOES

370 g

CORN KERNELS

110 g

PEACHES425 g

PEARS140 g

TOMATOSOUP420 g

BAKEDBEANS220 g

LENTIL SOUP794 g

TOMATOPUREE400 g

grams

COOKIES425 gJAM

340 g

PASTA300 g250 g

CH

OC

OLA

TES

SALMON210 g

110 g 220 g 420 g 400 g 800 g 110 g 420 g 110 g 210 g

Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Fluency: Read, write and apply mental strategies to work with masses using grams and kilograms.

name Date


1 Write the following as kilograms eg 1300 grams = 1.3 kg

a 1 800 g __________________ b 2 700 g __________________ c 1 300 g ___________________

d 4 300 g ___________________ e 2 100 g ___________________ f 3 600 g ___________________

2 Write the following as grams.

a 5.4 kg ___________________ b 3.1 kg ___________________ c 7.8 kg ___________________

d 900 g ___________________ e 2 kg ___________________ f 4.4 kg ___________________

3 What is the total mass of each set of food tins?a b c d

baked beans whole tomatoes corn kernels tuna

____________________ ____________________ ____________________ ____________________

4 Write each total in kilograms and grams.

a ___________________ b ___________________ c ___________________ d ___________________

5 How much more for each to make a kilogram?

a ___________________ b ___________________ c ___________________ d ___________________

6 What is the mass in kilograms and grams of:

a 4 boxes chocolates? _____________________ b 3 jars of jam? _____________________

c 4 packs pasta? _____________________ d all items? _____________________

7 Complete: 250 g = ___________ kg, 500 g = ___________ kg

Making one Kilogram Mass 2.2

Using units of measurement: ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures. Fluency: Order and compare masses of everyday items in standard units of grams and kilograms.

name Date


1 Estimate and then check how many of these items are needed to balance these masses.

item

mass

estimate

check

2 a Complete the table using these items.

b Which item has the greatest mass? _________________________________

c Which item has the least mass? _________________________________

40 g 50 g 100 g 30 g 500 g

pencil screw 20c coin Base 10 shorts pebble

less than 201 g more than 20

1 g, from 50

1 g, 1 kg or more

but less than 501 g to 1 kg

HONEY250 g

PEACHES825 g

TOMATOSOUP400 g

SALT130 g

BROWNLENTILS

400 g

PEARS140 g

TOMATOPUREE410 g

BAKEDBEANS420 g

SOYABEANS420 g

TWOFRUITS825 g

FROZENPEAS500 g

CHEESE250 g

DISHWASHERPOWDER

2 kg

WASHSOAKER

1 kg

CEREAL275 g

PASTA500 g

4 2

2

2

Measuring Mass 2.3

Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Fluency: Order and compare masses of everyday items in standard units of grams and kilograms.

name Date


1 Use the short form to write:a three hundred grams _________________ b six grams _________________

c one thousand grams _________________ d thirty grams _________________ 0e five hundred grams _________________ f four kilograms _________________g four thousand, six hundred and thirty grams _________________h five hundred and four grams _________________

2

Answer true or false. a Butter + peaches is less than 1 kg. _________________

b 2 packs of butter = 1 kg. _________________ c 3 jars of jam is more than 1 kg. _________________d The butter is 25 g heavier than the peaches. _________________e 4 packets of cereal = 1 kg. _________________ f Peaches + pasta + cereal is less than 2 packs of butter. _________________

3 Look at supermarket catalogues and make a list of items sold in grams.

PEACHES425 gJAM

350 g

PASTA375 g

CEREAL275 g BUTTER

500 g

Item Mass Item Mass

Mass Mass 2.4

Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Problem solving: Make calculations to solve problems with money and mass.

name Date


1 Round off money amounts and find the costs using the number sentences.

a Prawns are $29.99 kg. What is the cost of 500 g?

_________________ ÷ _________________ = _________________

b T-bones are $19.99 kg. What is the cost of 1.5 kg?

_________________ + _________________ = _________________

c Tasty cheese is $15.99 kg. What is the cost of 500 g?

_________________ ÷ _________________ = _________________

d Oranges are $7.99 kg. What is the cost of 500 g?

_________________ ÷ _________________ = _________________

e Chocolates are $23.99 kg. What is the cost of 250 g?

_________________ ÷ _________________ = _________________

f Onions are $3.99 kg. What is the cost of 2 kg?

_________________ ÷ _________________ = _________________

g Blueberries are $32 kg. What is the cost of 250 g?

_________________ ÷ _________________ = _________________

h 1 kg kiwi fruit cost $4.80. How much does 500 g cost?

_________________ ÷ _________________ = _________________

i Tomatoes are $5.99 kg. What is the cost of 2.5 kg?

_________________ ÷ _________________ = _________________

j Chicken is $9.99 kg. What is the cost of 2.5 kg?

_________________ ÷ _________________ = _________________

k 3 sweet potatoes weigh 1.5 kg. At $4 kg, what do they cost?

_________________ ÷ _________________ = _________________

i Beans are $9 kg. How much does 1.5 kg cost?

_________________ ÷ _________________ = _________________

Money Mass 2.5

Using units of measurement: ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity. Problem solving: Make calculations to solve problems with money and mass.

name Date


1

a Which is the heaviest fruit?_____________ b Add 300 g to the bananas ____________

c Pineapple plus oranges = _____________ kg _____________ g

d How much less than a kilogram are the bananas? _____________

e How much more than a kilogram is the watermelon? _____________

f All oranges weigh the same. How many more oranges to make 1 kilogram?

_____________

2 Solve these problems. Show working. a King’s chocolates cost $5 per kilogram.

How much would: 500 g cost? 0000000000200 g cost? 00000000003 kg cost? 0000000000

b How many 500 g bags of plain flour can be filled from a 6 kg bag?

c A box containing a Barbie Doll has a mass of 200 g. The mass of the packaging is 75 g. What is the Barbie doll’s mass?

d Guy, Chris and Robert have a total mass of 143 kilograms. If Guy has a mass of 53 kg and Chris a mass of 30 kg, what is Robert’s mass?

e Kate bought 10 kg of lavender. She packed the lavender into 500 g bags. How many bags did she pack?

f Peter bought 1 kg of chocolates. Richard ate 125 g, Peter ate 180 g, Karen ate 95 g and Lisa ate 160 g of chocolates. What is the mass of the chocolates left?

Working

250 g

250 g

250 g

250 g

50 g

250 g 500 g

250 g 500 g

10 g250 g

250 g

50 g50 g

250 g 250 g

250 g

Problem solving Mass 2.6

name Date


1 Write the mass in short form.a two hundred and ten grams __________________________ b seven hundred and ninety-four grams __________________________

c one thousand, seven hundred and fifty-eight grams __________________________

d one thousand, one hundred and ten grams __________________________

2 Order these masses from smallest to biggest using the numbers 1–10.

3 Show these masses on the abacus.a b c

220 g 825 g 400 g4 Complete:

a 500 g + ____________ = 1 kg b 250 g + ____________ = 1

2 kg

c 800 g + ____________ = 1 kg d 250 g + 300 g + ____________ = 1 kg

e 400 g + 250 g = ____________ = 1 kg f 1 kg – ____________ = 3

4 kg

g 2 kg – 1 kg 700 g = ____________

5 Solve these problems.

a How many 500 g punnets of strawberries can be filled from a box containing 2 kg? ____________________

b Alison, Kelly and Anna have a total mass of 130 kilograms. If Alison has a mass of 50 kg, Kelly a mass of 49 kilograms, what is Anna’s mass? ____________________

c The box of lollies had a total mass of 1 kilogram. Peta ate 80 g, Lisel 100 g and Paula 130 g. What is the total mass of the lollies left? ____________________

d A box containing a toy car has a mass of 200 g. The mass of the packaging is 60 g. What is the mass of the car? ____________________

180 g 908 g 174 g 340 g 140 g 250 g 370 g 800 g 100 g 454 g


Mass 2.7assessment • Mass

Documents

Thee - Weebly