Problem-Solving Strategies & Skills – Statistics & Chance: Year 2

1

Statistics and chance

A target has been set up at the school fete. John decided to have a go. He is allowed to shoot six arrows at a distance of ten metres from the© target.

John has R. I .

C.P ubl i ca t i ons never used a bow and arrow •f or r evi ewbefore. pur posesonl y• Which chance word—likely or unlikely— best describes his chances of hitting the yellow bullseye with each of his six arrows?

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

A target has been set up at the school fete. John decided to have a go. He is allowed to shoot six arrows at a distance of ten metres from the target. John has used a bow and arrow before and © R. I .

C.Publ i cat i ons showed some talent.

•f orr evi ew pur posesonl y• Which is certain: (a) John will have six arrows to shoot; OR (b) John will hit the yellow bullseye with each of the six arrows?

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance FOOD GR

OUPS • Breads, cereals, ric e, pasta, crackers The class sorted some • Meat, fis • Fruit—a h, eggs, nuts foods into groups and • Vegetab pples, bananas, ora • Dairy— les—carrots, toma nges then made lists of foods yogurt, ch t eese, milk oes © R .

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P u b l i c a t i o n s eaten as healthy snacks.

•f orr evi ew pur posesonl y•

Which two foods are both a dairy food and a healthy snack?

ACKS HEALTHY SN

• Fruit • Nuts • Yogurt nd cheese • Crackers a • Carrots R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance FOOD GR

OUPS

• Breads, ce The class sorted some crackers reals, rice, pasta, • Meat, f foods into groups and • Fruit—aish, eggs, nuts • Vegetab pples, bananas, ora then made lists of foods • Dairy— les—carrots, toma nges yogurt, ch t eaten as healthy snacks. eese, milk oes © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y• How many food groups ACKS HEALTHY SN do not include any foods • Fruit that are listed as healthy • Nuts • Yogurt snacks? nd cheese • Crackers a • Carrots

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance The class was asked to place a tally mark in the column that shows the type of material from © R. I .

C.Publ i cat i ons which the family home is brick wood •f orr evi ew pur poseson l y• stone mainly constructed.

steel

Two children misunderstood the teacher’s instructions and placed a tally mark in two columns each.

How many children in total are in the class?

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Statistics and chance The class was asked to place a tally mark in the column that shows the type of material from © R. I .

C.Publ i cat i ons which the family home wood •f orr evi ew pbrick ur poses onl y•stone is mainly constructed.

steel

Taylor lives in a house made from stone and steel, so the teacher allowed her to place a tally mark in each column.

How many children in the class placed only one tally mark?

R.I.C. Publications® Prim-Ed Publishing

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© R. I .

C.Publ i cat i ons Which group is larger—the group of 7 •f orr evi ew pur posesonl y• children who have good computer skills and maths skills OR the group of children that have good computer skills and are artistic?

23 3

ski l l s hs

Mr Arnott collected information about the children in the class and then recorded the data in a diagram.

Good comp u

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Statistics and chance

5

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10 23 3

•f orr evi ew pur posesonl y•

How many children in total are good at more than two of the categories?

ski l l s hs

Mr Arnott collected information about the children in the class 25 and then recorded the data in a © R. I .

C.Publ i cat i ons diagram.

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Statistics and chance

Penny made a table showing how things could be sorted in two different ways.

HAS LEGS

LIVING

NOT LIVING

dog insect horse

table chair

worm flower tree

rock mountain glass watch

© R. I .

C.Publ i cat i ons How many more objects are •f orr e vi ew pur posesonl y•

there that are not living and do not have legs than those that are living and have legs?

DOES NOT HAVE LEGS

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Statistics and chance

Penny made a table showing how things could be sorted in two different ways.

HAS LEGS

LIVING

NOT LIVING

dog insect horse

table chair

Which two groups are © equal— R. I .

C.Publ i cat i ons living things that have legs and •f or r evi e w pur posesonl y• living things that do not have DOES worm NOT legs OR things not living with flower HAVE legs and things not living that tree LEGS do not have legs?

rock mountain glass watch R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

1 picture = 2 people Interested people in the community gave the town council suggestions about park leisure facilities they ©R .

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C.Pub l i cat i ons wanted. bicycle track How many less people suggested a skate park than a playground?

•f orr evi ew pur posesonl y•

skate park playground R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Interested people in the community 1 picture = 2 people gave the town council suggestions about park leisure facilities they wanted. © R. I .

C.Publ i cat i ons

bicycle track

•f orr evi ew pur posesonl y• What is the order of

skate park

the suggestions from most to least AND how many people suggested each one?

playground R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Mrs Bradley’s class graphed information about the technology they used daily.

Type of technology

mobile phone Which type of computer/laptop technology is the © R. I .

C.Publ i cat i ons most popular and •f orr eiPad™/tablet vi ew pur posesonl y• by how much is it PlayStation™ more popular than mp3 player the next closest 0 1 2 3 4 5 6 7 8 9 type?

Number of children

10 11 12

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Statistics and chance

Type of technology

Mrs Bradley’s class graphed information about the technology they used daily. mobile phone computer/laptop Which two types © R. I .

C.Publ i cat i ons of technology have•f orr eiPad™/tablet vi ew pur posesonl y• the greatest PlayStation™ difference and mp3 player what is it?

0

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3 4 5 6 7 8 9 10 11 12 Number of children R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Tess has one brother and LIVES WITH BOTH one sister and lives with her PARENTS © R. I .

C.Publ i cat i ons grandparents.

LIVES •f orr evi ew pur poses onWITH l y•

Which letter shows where her name will go in the table?

ONE PARENT

LIVES WITH RELATIVES OTHER THAN A PARENT

HAS NO HAS BROTHERS BROTHERS AND/OR AND/OR SISTERS SISTERS

A

B

C

D

E

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Statistics and chance Troy, who is an only child, lives with his mum but stays LIVES WITH with his dad at weekends. His BOTH PARENTS grandad lives with his dad so ©R .

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C. Publ i cat i ons he sees him when he goes LIVES •f o rr e vi ewto pur poses onWITH l y• ONE PARENT visit.

Which letter shows where his name will go in the table?

LIVES WITH RELATIVES OTHER THAN A PARENT

HAS NO HAS BROTHERS BROTHERS AND/OR AND/OR SISTERS SISTERS

A

B

C

D

E

F R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

MORNING

Sasha’s daily events are shown in the table.

• Wake up • Eat breakfast • Get dressed • Go to school • Do school work • Eat lunch

Which of the following AFTERNOON I .

C.Pu bl i cat i ons chance words—certain©orR. •r Pack up school things •f orr evi ew pu pos es onl y • • Relax at home impossible—best describes • Eat a snack the chance of Sasha eating EVENING anything at any of the three • Relax at home • Eat dinner • Have a bath • Get ready for bed • Sleep times during the day?

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Statistics and chance

MORNING

Sasha’s daily events are shown in the table.

• Wake up • Eat breakfast • Get dressed • Go to school • Do school work • Eat lunch

Which of the following AFTERNOON © R. I .

C.Pu bl i cat i ons chance words—likely •r Pack up school things orr evi ew pu pos es onl y • • Relax at home or unlikely—best•f • Eat a snack describes the chance of EVENING Sasha sleeping in the • Relax at home • Eat dinner • Have a bath • Get ready for bed • Sleep afternoon?

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Statistics and chance

ALDO’S LIST NICCOLO’S LIST • elephant • lion • tiger • hippopotamus • monkey • cheetah • giraffe • elephant © R .

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P u b l i c a t i o n s Which two animals are • lion • baboon •f orr evi ew•p u r p o s e s o n l y • zebra • bear in the top five on both • rhinoceros • tiger lists? Which animal is • hippopotamus • zebra in the bottom five on • panther • monkey both lists?

• camel • giraffe

Aldo and Niccolo both listed their ten favourite wild animals.

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

ALDO’S LIST NICCOLO’S LIST • elephant • lion • tiger • hippopotamus • monkey • cheetah • giraffe • elephant © R .

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P u b l i c a t i o n s If both lists were • lion • baboon •f orr evi ew•p u r p o s e s o n l y • zebra • bear combined using each • rhinoceros • tiger animal only once, how • hippopotamus • zebra many animals would • panther • monkey be on the list?

• camel • giraffe

Aldo and Niccolo both listed their ten favourite wild animals.

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

GIRLS SPORT The children in the netball class collected data dancing about their favourite sports and recorded©the rugby R. I .

C.Publ i cat i ons information in a • table. football f orr evi ew pur posesonl y•

BOYS

tennis basketball gymnastics

Which group is larger— boys or girls—and by how many?

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Statistics and chance

GIRLS SPORT The children in the class netball collected data about dancing their favourite sports and recorded the information rugby © R. I .

C.Publ i cat i ons in a table. football •f orr evi ew pur posesonl y•

Which two sports are the most popular with both boys and girls combined?

BOYS

tennis basketball gymnastics R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance The class were playing a game of Bingo to practise reading numbers with ‘tens’ and ‘ones’. The cards of two of the children are shown.

© R. I .

C.Publ i cat i ons Which chance•word—likely, f orr evi ew pur posesonl y•

unlikely, certain or impossible— best describes the chances of either child being able to place a counter on a number less than 20?

Abraham

21 68 42 73 36 95 57 84 26 Rachael

38 92 47 83 29 71 64 77 56 R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Abraham

The class were playing a game of Bingo to practise reading numbers with ‘tens’ and ‘ones’. The cards of two of the children are shown. © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y• Which chance word— likely, unlikely, certain or impossible—best describes the chances of either child filling their Bingo card after nine numbers have been called?

21 68 42 73 36 95 57 84 26 Rachael

38 92 47 83 29 71 64 77 56 R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Mr Davis The Davis family went birdwatching and recorded Mrs Davis how many birds each person © R. I .

C.Publ i cat i ons saw on one day.

Danny

•f orr evi ew pur posesonl y•

Which family member is the most observant and which is the least observant?

Bryce Avary R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

The Davis family went Mr Davis birdwatching and recorded how many birds each person saw on Mrs Davis one day. For each bird they saw, they also recorded whether they © R. I .

C.Publ i cat i ons Danny saw a nest as well.•f orr evi ew pur posesonl y• Which group is larger—the group of people who saw birds and nests OR the group of people who saw birds only, and by how much?

Bryce Avary R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Selection 1 Jamie mixed sweets and Selection 2 chocolates in a bowl and made a Selection 3 number of selections, which he recorded.

Selection 4 © R. I .

C.Publ i cat i ons •f orr evi ew pur sonl y•5 Selection If Jamie placed twenty-three jelly pose Selection 6 beans and seventeen chocolates in the bowl, how many of each Selection 7 still remain in the bowl?

Selection 8

chocolate jelly bean caramel jelly bean jelly bean chocolate toffee jelly bean R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Jamie mixed sweets and Selection 1 chocolates in a bowl and made Selection 2 a number of selections, which Selection 3 he recorded. He counted the remaining sweets and © chocolates Selection 4 R. I .

C.Publ i cat i ons and had sixteen chocolates, •f orr evi ew pur pose sonl y•5 Selection thirty-nine jelly beans, eight Selection 6 caramels and eleven toffees.

Selection 7 How many of each did he have to Selection 8 begin with?

chocolate jelly bean caramel jelly bean jelly bean chocolate toffee jelly bean R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Jack made a spinner, spun the arrow a number of times and listed the results.

© R. I .

C.Publ i cat i ons What is the total• number of times f orr evi e wp ur posesonl y•

the arrow was spun? How many spins landed on the colour covering the greatest fraction of the spinner?

red — yellow — orange — green — blue — R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Jack made a spinner, spun the arrow a number of times and listed the results. © R. I .

C.Publ i cat i ons

f orr evi ew pur posesonl y• What fraction of• the total number of spins is the result for yellow and the result for orange?

red — yellow — orange — green — blue — R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Martin decided to surprise Mum by cooking her favourite biscuits—triple chocolate chip. He added 1 cup of melted dark chocolate to the cake mixture, then 3⁄4 cup milk chocolate R. I .

C.Pub l i cat i ons chips and 1⁄2 cup white © chocolate chips.

•f orr evi ew pur posesonl y•

Which two types of chocolate is Mum most likely to taste in one bite of a biscuit—dark, milk or white chocolate?

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Martin decided to cook Mum’s favourite biscuits—triple chocolate chip. He added 1⁄2 cup of melted dark chocolate to the cake mixture. In a separate bowl, he combined 1⁄2 cup of milk chocolate chips and 1⁄2 cup of white chocolate chips to mix ©R .

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C.P ubthe l i cat i onsmixture. them well before adding them to cake •f orr evi ew pur posesonl y•

Which word (possible or impossible) best describes the chance of finding dark chocolate in the chocolate-chip mixture to be added to the cake mixture?

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance 5

One day, the librarian 4 recorded the types of books 3 2 borrowed by children who 1 visited the library. The most © R. I .

C.PubGRAPHIC l i cat i ons popular categories were MYTHS NOVELS •f o r evi ew pur p oseso nl y•FANTASY selected and used in ar graph.

HISTORY

SCIENCE

What is the difference between the number of children who borrowed the two least popular types of books and those who borrowed the most popular type of book?

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance 5

4 One day, the librarian 3 recorded the types of books 2 borrowed by children who 1 visited the library. The most popular categories were © R. I .

C.PubGRAPHIC l i cat i on s MYTHS FANTASY NOVELS selected and used in a graph.

•f orr evi ew pur posesonl y•

HISTORY

SCIENCE

Six individual children borrowed books in other categories not included in the graph, two borrowed a dictionary and nine borrowed DVDs. How many children borrowed from the library that day?

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance AFTER-SCHOOL ACTIVITIES

G B G Read B R. I .

C.Publ i cat i ons G One after-school © activity Watch TV •f orr evi ew pur posesonl y B• is enjoyed equally by both G girls and boys. It is also Use the computer B the most popular activity.

How many children in total Draw or G write enjoy this activity?

B

After-school leisure activities of boys and girls in the class were recorded in a data display.

Play sport

R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

AFTER-SCHOOL ACTIVITIES

After-school leisure activities were recorded in a data display.

Play sport Read

Watch TV Two activities are equally the © R. I .

C .Publ i cat i on s Use the• second most popular after•f orr e vi ew pur poseso nl y computer school activities. By how many Draw or write children are they less popular than the most popular activity?

= 2 children

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Statistics and chance

The children compared data about their favourite colours by making a chart with tally marks.

Trevor and Brian were talking FAVOURITE COLOURS and didn’t hear the correct © R. I .

C.Publ i cat i ons instructions. Each of them •f orr evi ew pur posesonl y• placed a tally mark in two different columns.

How many children followed the teacher’s instructions correctly?

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Statistics and chance

The children compared data about their favourite colours by making a chart with tally marks.

Amy couldn’t decide FAVOURITE COLOURS between two favourite © R. I .

C.Publ i cat i ons colours, so the teacher •f orr evi ew pur posesonl y• allowed her to place a tally mark in both columns.

If all the other children only placed one tally mark each, how many children in total are in the class?

R.I.C. Publications® Prim-Ed Publishing

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20

Statistics and chance Favourite subject

‘Nobody likes maths!

It’s a horrible subject’, exclaimed Sam.

Number of children

6 5 4 3

‘Let’s find out if that © R. I .

C2.Publ i cat i ons statement’s true’, said 1 p •f orr evi ew ur posesonl y• Mr Frost. So the children 0 collected information MATHS ENGLISH SCIENCE and made a bar graph.

Subject

THE ARTS

TECHNOLOGY

What is the smallest difference between the subjects chosen?

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The children compared some school subjects using a bar graph.

Favourite subject 6

Number of children

20

Extension

Statistics and chance

5 4 3

© R. I .

C.Publ i cat i ons What is the order of the 2 •f orr evi ew pur posesonl y•

subjects from most to least popular and how many people voted for each one?

1 0 MATHS

ENGLISH

SCIENCE

THE ARTS

TECHNOLOGY

Subject

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21

Statistics and chance RODNEY’S LIST

Rodney and Blaze both listed their ten favourite superheroes.

• Thor • Iron Man • Batman • Captain America Which two superheroes © R. I .

C.•PHulk ubl i cat i ons • Superman are in the top five •f orr evi ew pur posesonl y• • Spider-Man on both lists? Which • Green Arrow superhero is in the • Thing • Wolverine bottom five on both

BLAZE’S LIST

• • • • • • • • • •

Superman Batman Spider-Man Thor Green Arrow Captain America Supergirl Wolverine Human Torch Wonder Woman

lists?

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Extension

Statistics and chance RODNEY’S LIST

Rodney and Blaze both listed their ten favourite superheroes.

• Thor • Iron Man • Batman • Captain America © R. I .

C.•PHulk ubl i cat i ons If both lists were • Superman •f orr evi ew pur posesonl y• combined using each • Spider-Man • Green Arrow superhero only once, • Thing how many superheroes • Wolverine

would be on the list?

BLAZE’S LIST

• • • • • • • • • •

Superman Batman Spider-Man Thor Green Arrow Captain America Supergirl Wolverine Human Torch Wonder Woman

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Statistics and chance

The children kept a record of the weather for a time. On two days, the children added two I .

C.Publ i cat i ons pictures because the © R. orr evi ew pur posesonl y• weather was windy•f and rainy.

SUNNY

CLOUDY

WINDY

RAINY

For how many school days did the children keep a record of the weather?

SNOWY

FOGGY

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Extension

Statistics and chance

The children kept a record of the weather for a time.

Which is the larger © R. I .

C.Publ i cat i ons group—the group that •f orr evi ew pur posesonl y• includes both sunny and cloudy days or the group SUNNY CLOUDY WINDY that includes rainy, snowy and foggy days?

RAINY

SNOWY

FOGGY

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Statistics and chance

Pizza flavour Girls The children wanted to find out what type cheese of pizza was the most pineapple popular among the boys© R. I .

Cpepperoni .Publ i cat i ons and girls in the class.

•f orr evi ew pur posesonl y•

Boys

vegetarian

Which group is smaller—boys or girls— and by how many?

chicken sausage R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

The children wanted Pizza flavour to find out what type cheese of pizza was the most pineapple popular among the boys I .

Cpepperoni .Publ i cat i ons and girls in the class. © R.

Girls

Boys

•f orr evi ew pur posesonl y•

vegetarian

Which pizza flavour is the least popular with both boys and girls combined?

chicken sausage R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Jessica mixed pieces of fruit in a bowl and selected pieces with a spoon. She recorded her selections.

Selection 1 Selection 2 Selection 3 Selection I .

C.Pub l i cat i ons4 If Jessica placed forty-© R. •f or r evi ew pur poseson y• Selection 5l eight pieces of banana and twenty-seven pieces of Selection 6 strawberry in the bowl, how Selection 7 many pieces of each still Selection 8 remain in the bowl?

banana strawberry apple banana orange banana strawberry apple R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Selection 1 Jessica mixed pieces of fruit Selection 2 in a bowl and selected pieces with a spoon. She recorded Selection 3 her selections. She counted Selection 4 the remaining pieces of fruit © R. I .

C.Pub l i cat i ons5 Selection and had eighteen pieces of •f orr evi ew pur posesonl y• banana, fifty-one pieces of Selection 6 strawberry, twelve pieces Selection 7 of apple and nine pieces of Selection 8 orange.

banana strawberry apple banana orange banana strawberry apple

How many of each did she have to begin with?

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Mrs Beasley’s class recorded and graphed the colour of vehicles that passed the school at a particular time.

Cars passing the school Car colour

25

Statistics and chance

© R. I .

C.Publ i cat i ons

All the groups of car colours •f orr evi ew pur posesonl y• have the same difference from one group to the next, except one.

0 1 2 3 4 5 6 Number of cars Which car colour group is it?

7

8

9 10

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Mrs Beasley’s class recorded and graphed the colour of vehicles that passed the school at a particular time in the morning.

Cars passing the school Car colour

25

Extension

Statistics and chance

The cars were recorded ©and R. I .

C.Publ i cat i ons •f o rr evi ew pur posesonl y• graphed again in the afternoon and the following numbers were 0 1 2 3 4 5 6 added to each group: 6 blue, Number of cars 5 black, 4 grey, 3 silver and 3 white.

7

8

9 10

Which colour was seen most often that day?

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© R. I .

C.Publ i cat i ons 15 Which group is smaller—the group •f orr evi ew pur posesonl y•

of people who like both rugby and cricket OR the group of people who like both basketball and rugby? What is the difference between the two?

Cr i et ck

Families in the neighbourhood shared information about the sports they like to watch. The diagram shows a record of the information.

Bas ke

26

Statistics and chance

46 8

24

59

Rugby

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Statistics and chance

Bas ke

How many people in total gave information about the sports they like to watch?

Cr i et ck

al l Families in the neighbourhood tb shared information about the 31 sports they like to watch. The diagram shows a record of © R. I .

C.Publ i cat i ons 15 the information. •f orr evi ew pur posesonl y•

10 46 8

24

59

Rugby

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Statistics and chance

BIRDS SIGHTED On a class visit to a wildlife Pigeons – 19 Sparrows – 62 sanctuary, the children Swallows – 47 counted and recorded the Owls – 25 © R. I .

C.Publ i cat i ons different birds they saw.

Gulls – 39 •f orr evi ew pur posesonl y• Finches – 51

What two bird types have the greatest difference in number and what is it?

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Statistics and chance

BIRDS SIGHTED Pigeons – 19 On a class visit to a wildlife Sparrows – 62 sanctuary, the children Swallows – 47 Owls – 25 counted and recorded the ©R .

I .

C.Publ i cat i ons Gulls – 39 different birds they saw.

•f or r evi ew pur posesonl y• Finches – 51

How many birds in total did the children sight?

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Statistics and chance Breakfast foods Girls

Boys

Number of children

The children compared 6 the types of food they 5 ate for breakfast using a © R. I .

C.Pu bl i cat i ons 4 graph.

•f orr evi ew pu posesonl y• 3r

How many less boys than girls gave information for the table?

2 1 0 Cereal

Yogurt

Fruit

Toast

Type of food Two f ish add ...

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Extension

Statistics and chance Breakfast foods Girls

6 Number of children

The children compared the types of food they ate for breakfast using a graph.

Boys

5

© R. I .

C.Pu bl i cat i ons 4 How many more children •f orr evi ew pu posesonl y• 3r

prefer to eat cereal or toast for breakfast than yogurt or eggs?

2 1 0 Cereal

Yogurt

Fruit

Toast

Type of food Two f ish add ...

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Statistics and chance

Taryn surveyed her friends to find who could swim and ride a bike well. She recorded her results in a diagram.

RIDES A BIKE © R. I .

C.Publ i cat i o ns WELL

CAN SWIM WELL

CANNOT SWIM WELL

A B C

D E F G

H I J

K L M

•f or r evi e w pur posesonl y• Jocelyn rides a bike well but cannot swim well.

CANNOT

Which letters could represent Jocelyn?

RIDE A BIKE WELL

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Statistics and chance

Taryn surveyed her friends to find who could swim and ride RIDES a bike well. She recorded her A BIKE results in a diagram. © R. I .

C.Publ i cat i o ns WELL

CAN SWIM WELL

CANNOT SWIM WELL

A B C

D E F G

H I J

K L M

•f orr evi ew pur posesonl y•

Sally, Deanna and Bianca cannot swim or ride bikes well.

What letters represent them?

CANNOT RIDE A BIKE WELL

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Statistics and chance

Mr McTavish, the sweetshop owner, made a tally of the sweets he had left in stock.

PACKETS OF SWEETS REMAINING chocolate-covered sultanas butterscotch

© R. I .

C.Pub l i cat i ons caramels In order from ‘need•to buy f or r evi ew pur posesonl y•

most of’ to ‘need to buy least of’, what sweets need to be bought?

marshmallows toffees

chocolate-covered nuts

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Statistics and chance

Mr McTavish, the sweetshop owner, made a tally of the sweets he had left in stock.

PACKETS OF SWEETS REMAINING chocolate-covered sultanas butterscotch

R. I .

C.Pub l i cat i ons caramels If Mr McTavish always © tries •f orr evi ew pur posesonl y• marshmallows to have twenty packets of each type of sweet in stock, toffees how many more of each chocolate-covered nuts sweet does he need to buy?

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Statistics and chance – Answers Card 1 Extension

unlikely (a) John will have six arrows to shoot.

Card 2 Extension

cheese and yogurt none

Card 3

twenty-six (26) children twenty-six (26) children

Extension Card 4

Extension Card 5 Extension

The group of children who have good computer skills and maths skills. three (3) children one (1) object living things that have legs and living things that do not have legs

Card 6 Extension

six (6) less people park—10, playground—10, bicycle track—8, skate park—4

Card 7

computer/laptop by one (1) child computer/laptop and Playstation™; difference of eight (8) children

Extension

The girls’ group is larger by one (1). football and gymnastics

Card 15

Card 12 Extension

impossible unlikely

Card 16

Card 13

Bryce is the most observant and Avary is the least observant.

The group of people who saw birds and nests is larger by three (3).

Card 11 Extension

Extension © R. I .

C.Pub l i cat i ons •f rr evi ew pur posesonl y• Eo

Card 8 Extension

D

Card 9 Extension

certain unlikely

Card 10 Extension

elephant, lion; zebra thirteen (13) animals

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5+2=7 8–3=5

nineteen (19) jelly beans, fifteen (15) chocolates eighteen (18) chocolates, fortythree (43) jelly beans, nine (9) caramels, twelve (12) toffees

Extension

Extension

spun twenty-five (25) times; nine (9) yellow— 1⁄2 , 6 ⁄12 , orange— 1⁄4 , 3 ⁄12 dark and milk chocolate impossible

Card 17 Extension

one (1) child thirty-three (33) children

Card 18 Extension

eight (8) children two (2) children

Card 19

twenty-four (24) children twenty-seven (27) children

Extension

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Statistics and chance – Answers Card 20 Extension

Card 21 Extension

one (1) Technology—6, The Arts—5, English—4, Science—3, Maths—2 Batman and Thor; Wolverine thirteen (13) superheroes

Card 22 Extension

eleven (11) days The group that includes both sunny and cloudy days.

Card 23

The groups of girls is smaller by three (3). vegetarian

Extension

Card 24

Extension

banana—45 pieces, strawberry—25 pieces banana—21 pieces, strawberry—53 pieces, apple—14 pieces, orange—10 pieces

Extension

the blue colour car group white cars

Extension

who like both basketball and rugby is smaller, nine (9).

193

Card 25

Card 28 Extension

four (4) twelve (12) children

Card 29 Extension

D, E, F, G K, L, M

Card 30

caramels, butterscotch, marshmallows, chocolate-covered nuts, toffees, chocolate-covered sultanas chocolate-covered sultanas—7, butterscotch—14, caramels—20, marshmallows—13, toffees—11, chocolate-covered nuts—12

© R. I .

C.Publ i cat i ons or r ev ew pu r posesonl y• Card 26 •f The group ofi people Extension

Card 27 Extension

sparrows and pigeons, 43 243

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