Problem-Solving Strategies & Skills – Statistics & Chance: Year 1

1

Statistics and chance

Carl made a spinner and spun © R. I .

C.Publ i cat i ons the arrow. red •f orr evi ew pur posesonl y• Which colour is he most likely to land on?

blue

green

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

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Statistics and chance

Carl made a spinner and spun © R. I .

C.Publ i cat i ons red the arrow.

blue

•f orr evi ew pur posesonl y•

Which colours is he equally likely to land on?

green

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

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Statistics and chance

Mrs Clay’s class made a pictograph of the children in the class.

Boys Girls

© R. I .

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How many more girls are there than boys?

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

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Statistics and chance

Mrs Clay’s class made a pictograph of the children in the class.

Boys Girls

© R. I .

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

Mr Howe’s class has three less boys than Mrs Clay’s.

How many children are in Mr Howe’s class?

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Statistics and chance

Tye went with his mum to the pet shop to choose a fish. He had a choice of twelve striped or nine spotted fish. Tye closed his eyes .

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C.Publ cat i ons and scooped up a fish © in R the net. i

•f orr evi ew pur posesonl y•

Which patterned fish is he more likely to scoop up in his net?

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Statistics and chance

Tye went with his mum to the pet shop to choose a fish. He had a choice of twelve striped or nine spotted fish.

The pet shop owner put two more ©R .

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C.closed Publ i cat i ons spotted fish in the tank.

Tye his f or e vi ewin pu r ponet. sesonl y• eyes and scooped•up ar fish the Which patterned fish is he more likely to scoop up in his net?

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Statistics and chance

Mrs Bean’s class voted for the fruit they liked best.

They had four choices. They could only vote once. apple orange pear

© R. I .

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banana How many children are in the class?

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Statistics and chance

Mrs Bean’s class voted for the fruit they liked best.

They had four choices. They could only vote once. apple orange pear

© R. I .

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

banana What is the difference between the most popular and least popular fruit?

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Statistics and chance

Lisa had three green markers, two blue markers, four red markers, one yellow and one brown marker.

Which table is hers—Table A or Table B? © R. I .

C.Publ i cat i ons Colour Green Blue Red Yellow Brown •f orr evi ew pur posesonl y• Table A Number 2 3 4 1 1 Table B

Colour Green Blue Red Yellow Brown Number 3 2 4 1 1 R.I.C. Publications ® Prim-Ed Publishing

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Statistics and chance

Lisa made a table about the coloured markers she had.

Colour Green Number 3

Blue

Red

Yellow Brown

2

1 l 1s © R4 .

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If Lisa had one more blue marker and two more brown markers, which colour marker would she have the most of?

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Statistics and chance

Maud played a number game with Archie.

She asked him to choose © R. I .

C.Publ i cat i ons a number between • 1f and 11. orr evi ew pur posesonl y• What sort of number is Archie less likely to choose—an even or an odd number?

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Statistics and chance

Maud played a number game with Archie.

She asked him to choose an © R. I .

C.Publ i cat i ons even number between 1vand 22.

•f orr e i ew p ur posesonl y• What sort of number is Archie less likely to choose—a onedigit number or a two-digit number?

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Statistics and chance

Deb sorted flowers by smell and colour.

What kind of flowers go © R. I .

C.Publ i cat i ons in the striped part of the •f orr evi ew pur posesonl y• diagram?

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Statistics and chance

Deb sorted flowers by smell, colour and size. © R. I .

C.Publ i cat i ons

What kind of flowers goev in the posesonl •f orr i ew pur y• striped part of the diagram?

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

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8

Statistics and chance

John had some objects. He had an orange truck, a red spinning top, an orange ball, a blue racing car, an orange bat, an orange hat, an orange shirt and a brown teddy.

Which objects are both©orange and ati toy?

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C.Pu bl i ca ons

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

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Statistics and chance

John had some objects. He had an orange truck, a red spinning top, an orange ball, a blue racing car, an orange bat, an orange hat, an orange shirt and a brown teddy.

How many more objects does John have in total © R. I .

C.Publ i cat i ons than orange objects?

•f orr evi ew pur posesonl y•

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

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Statistics and chance

The Beck family went fishing. They made a chart to show how many fish they caught.

Mr Beck Mrs Beck Bryce

© R. I .

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Beth

Who caught the least fish?

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Statistics and chance

The Beck family went fishing. They made a chart to show how many fish they caught.

Mr Beck Mrs Beck Bryce

© R. I .

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

Beth

What colour were the fish they caught more of?

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Statistics and chance

Chris had three blue marbles and five yellow marbles.

He let David choose one marble to keep.

Chris put all the marbles in one bag. ©his R. I .

C .Publ i cat i ons He asked David to close eyes •f orr evi ew pur posesonl y• and choose.

Which colour marble is David less likely to choose?

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Statistics and chance

Chris had three blue marbles and five yellow marbles.

He let David choose one marble to keep.

Chris put all the marbles in one bag but took away three yellow ones when © R. I .

C.Publ i cat i ons David closed his eyes.

David chose •f orr evi ew pur posesonl y• one marble.

Which colour marble is David less likely to choose?

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11

Statistics and chance

Carl made a spinner and spun the arrow.

red

© R. I .

C.Publ i cat i ons f orr evi ew pur posesonl y• Which colours is he•equally yellow likely to land on?

blue

green

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

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Statistics and chance

Spin 1

red

Spin 2 He wrote the results in©aR table. .

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blue

Carl spun his spinner four times.

•f orr evi ew pur posesonl y• Spin 3

Which colour did he land on more than any other?

Spin 4

yellow blue

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Statistics and chance

Sasha has four red jelly beans and six green jelly beans in a bag of sweets.

If she chooses a jelly bean without looking, which © R. I .

C.Publ i cat i ons colour is she more likely to pick?

•f orr evi ew pur posesonl y•

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

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Statistics and chance

Sasha has four red jelly beans and six green jelly beans in a bag of sweets. Mum gave her four more red jelly beans and one more green jelly bean.

If she chooses a jelly © bean looking, which R. I .

Cwithout .Publ i cat i ons f orr ev i ew pur posesonl y• colour is she more•likely to pick?

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

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Statistics and chance

At the ice cream shop, 5 children bought strawberry ice creams, 8 bought chocolate ice creams ©creams.

R. I .

C.Publ i cat i ons and 4 bought vanilla ice

•f orr evi ew pur posesonl y•

How many more children bought chocolate ice creams than strawberry ice creams?

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

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Statistics and chance

At the ice cream shop, 5 children bought strawberry ice creams, 8 bought chocolate ice creams © Rcreams. .

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C.Publ i cat i ons and 4 bought vanilla ice

•f orr evi ew pur posesonl y•

What is the difference in number between the most popular and least popular flavour?

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

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Statistics and chance cricket

basketball

Mr Smith asked his class what sport they liked. They made © R. I .

C.Publ i cat i ons a diagram about it.

•f orr evi ew pur posesonl y•

How many children liked both cricket and basketball?

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

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Statistics and chance cricket

Mr Smith asked his class what sport they liked. They made I .

C.Publ i cat i ons a diagram about it. © R.

basketball

•f orr evi ew pur posesonl y•

How many children did Mr Smith ask?

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

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15

Statistics and chance

The class used a pictograph and tally marks to show the eye colour of the children.

Six children have brown eyes, five have © R. I .

C.Publ i cat i ons green eyes, ten have blue eyes and three •f orr evi ew pur posesonl y• have hazel eyes.

How many children are in the class altogether?

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

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Statistics and chance

A class of twenty-four children used a pictograph and tally marks to show the eye colour of the children.

© R. I .

C.Publ i cat i ons The pictograph showed that half ofse the •f orr ev i ew p ur po sonl y•

children had blue eyes.

How many children had blue eyes?

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16

Statistics and chance

The children made a bar chart from information they collected.

© R. I .

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How many more children liked fish and chips better than Chinese food?

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

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Statistics and chance

Two children were away when the information in the bar chart was collected. © R. I .

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

How many children are in the class altogether?

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

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17

Statistics and chance

Mark tossed a coin a number of times.

Each time it landed he wrote down the results. He put a tick in either the ‘Heads’ or ‘Tails’ column to show which side R. I .

C.Publ i cat i ons of the coin landed face© up.

•f orr evi ew pur posesonl y•

He had three ticks in the ‘Heads’ column and one tick in the ‘Tails’ column.

How many times did he toss the coin?

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

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Statistics and chance

Mark tossed a coin four times. Each time it landed he recorded the results.

He put a tick in either the ‘Heads’ or the ‘Tails’ column to show side of ©which R. I .

C.Pu bl i ca t i ons the coin landed face up.

•f o rr evi ew pur posesonl y• Is Mark more likely, less likely or equally likely to have the coin land on one side?

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

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Statistics and chance

Mrs Vane’s class kept a weather chart. They put on one picture for the weather for each © day.

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

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

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Statistics and chance

Mrs Vane’s class kept a weather chart. They put on one picture for the weather for each day. © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y• Which season of the year is it more likely to be—summer or winter?

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

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Statistics and chance Hair colour Girls Boys

The class did a survey of the light brown hair colour of the children. dark brown This is the table they made. © R. I .

C.Publ i cat i ons •f orr evi ew pur posesblonde onl y• Which hair colour has the same number of girls and red boys with that colour? black

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Statistics and chance

Hair colour Girls Boys The class did a survey of the light brown hair colour of the children. dark brown R. I .

C.Publ i cat i ons This is the table they © made.

•f orr evi ew pur posesblonde onl y• What is the difference between the most common and least red common hair colour? black

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Statistics and chance

Jackie drew some pictures of fantasy creatures. She drew a troll with twelve toes. She drew a fairy with one small nose. She drew a giant© with three i eyes R. I .

C.Publ cat i ons and thirty toes. She•drew ai mermaid f orr ev e w pur posesonl y• with long hair and one nose.

Which two creatures did she draw that were both big and had many toes?

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Statistics and chance

Jackie drew some pictures of fantasy creatures. She drew a troll with twelve toes. She drew a fairy with one small nose. She drew a.giant © R. I .

C Publ i cwith at i ons three eyes and ten•toes.

She drew aesonl f orr ev i ew p ur pos y• mermaid with long hair and one nose.

How many toes did Jackie draw altogether?

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

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Statistics and chance

On Monday, Ted started building with blocks.

Each day he added a bit more. He drew pictures to show what he had built by the end of each day.

Monday

Tuesday ©Wednesday l R. I .

C.Pub i caThursday t i ons

•f orr evi ew pur posesonl y•

Friday

How many blocks did Ted have on Friday?

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Statistics and chance

On Monday, Ted started building with blocks.

Each day he added a bit more. He drew pictures to show what he had built by the end of each day.

Monday

Tuesday

Wednesday

Thursday

© R. I .

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

Friday

If Ted started a new building each day, how many blocks would Ted use in total that week?

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

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Statistics and chance

Jamie rolled a dice with six sides. © Rare .

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C. bl i cat i ons The numbers on the dice 1Pu to 6.

•f orr evi ew pur posesonl y•

Is he more likely, less likely or equally likely to roll an even number?

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

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Statistics and chance

Jamie rolled a dice with six sides Roll 1 a number of times. The numbers Roll 2 on the dice are 1 to 6. ©a R. I .

C.Publ i cat i ons Roll 3 He wrote the results in table.

•f orr evi ew pur posesonl y•

How many times did he roll the dice?

What was the total of the numbers rolled?

Number rolled 2 1 4

Roll 4

6

Roll 5

3

Roll 6

5

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Statistics and chance

Tiffany and her friends made a pictograph about their favourite dinosaurs.

Tyrannosaurus rex Stegosaurus

© R. I .

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

Triceratops

How many of Tiffany’s friends helped make the pictograph?

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Statistics and chance

Tiffany and her friends made a pictograph about their favourite dinosaurs.

Tyrannosaurus rex Stegosaurus

© R. I .

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

Triceratops

How many more children liked triceratops than stegosaurus?

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

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Mr Angelo’s class made a bar chart.

Favourite pizza Vegetarian

What is the difference Seafood between the number © R. I .

C.Publ i cat i ons orr evMeatlovers i ew pur posesonl y• of children who like•f seafood pizza and Cheese those who like 0 2 4 6 8 10 vegetarian pizza?

Number of children R.I.C. Publications ® Prim-Ed Publishing

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Extension

Statistics and chance

There are 29 children in Mr Angelo’s class. Twelve children liked seafood pizza best, 9 liked cheese pizza best, 5 liked meatlovers best © R. I .

C.Publ i cat i ons and the rest liked vegetarian •f orr evi ew pur posesonl y• pizza best.

How many children liked vegetarian pizza best?

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

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Statistics and chance

Nathan played a number game with Becca.

He asked her to choose a number © R. I .

C.Publ i cat i ons between 12 and 21.

•f orr evi ew pur posesonl y•

Is Becca less likely, more likely or equally likely to choose an odd number?

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

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Statistics and chance

Nathan played a number game with Becca.

He asked her to choose two numbers between 8 and 17. © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y•

Is Becca less likely, more likely or equally likely to choose a number with two digits?

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

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Statistics and chance

Mr Booker asked the children in the class if they liked nursery rhymes or fairy tales best. They made a diagram about it.

How many children liked both nursery rhymes and fairy © Rtales? .

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•f orr evi ew pur posesonl y•

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

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Statistics and chance

Mr Booker asked the children in the class if they liked nursery rhymes or fairy tales best.

They made a diagram about it.

How many children are in the class? ©R .

I .

C .Pu bl i cat i ons

•f orr evi ew pur posesonl y•

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

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Number of people in the family

27

Statistics and chance 7

The children in the class put 6 a tick on a graph to show how 5 many people are in their family. ©R .

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C.Publ i cat i ons

•f orr evi ew pur poses4onl y•

How many children have more than 4 people in their family?

3 2

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

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The children in the class put a tick on a graph to show how many people are in their family.

Number of people in the family

27

Extension

Statistics and chance 7 6

5 © R .

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C .

P u b l i c a t i o ns Three children forgot to draw •f orr evi ew pur poses4onl y•

a tick.

How many children are in the class altogether?

3 2

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

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Statistics and chance

Sarah practises tenpin bowling every day. She keeps a record of the number of pins she knocks over.

Monday

Tuesday Wednesday Thursday Friday © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y•

1 3 5

If this pattern goes on, what numbers will go in the table under Thursday and Friday?

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

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Statistics and chance

The table shows Sarah’s tenpin bowling score for each day of the week.

Monday

Tuesday Wednesday Thursday

Friday

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• 2 4 6

If this pattern goes on, will Sarah get a strike (knock down ten pins) that week?

Write 'Yes' or 'No'.

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

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Statistics and chance

Jenny made a spinner and spun the arrow.

B

to land on?

C

© R. I .

C.Publ i cat i ons A •f orr e vi ew pur posesonl y• Which letter is she most likely

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

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Statistics and chance

Jenny spun her spinner a number of times. She wrote the results in a table.

Spin

Letter landed on

1 A 2 C

© R. I .

C.Publ i cat i ons 3 B How many times did she spin •f orr evi ew pur posesonl y• the spinner?

4 B

Which letter did she land on more than any other?

5 A 6 A

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

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Statistics and chance 7

6 Early on Monday morning 5 Mrs Sweet baked cupcakes.

The bar chart tells how many 4 © R. I .

C.Pu3bl i cat i ons she sold each day.

•f orr evi ew pur posesonl y• 2 How many days does 1 Mrs Sweet sell less than 0 M Tu W 4 cupcakes?

Th

F

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

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Statistics and chance

7 Early on Monday morning Mrs Sweet baked cupcakes. 6 The bar chart tells how many 5 4 she sold each day. © R. I .

C.Pu3bl i cat i ons On Saturday Mrs Sweet had •f orr evi ew pur posesonl y• 2 2 cupcakes left.

1

How many cupcakes did she bake?

0

M

T Tu

W W

Th Th

FF

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

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Statistics and chance – Answers Card 1 red Extension blue and green Card 2 Extension

two (2) more girls than boys nineteen (19) children

Card 3 striped Extension striped Card 4 Extension

twenty-four (24) children five (5)

Card 5 Table B Extension red

Card 8 Extension

orange truck, orange ball, orange bat three (3) objects

Card 9 Mr Beck Extension brown Card 10 blue Extension yellow

ten (10) blocks thirty (30) blocks

Card 22 Extension

equally likely six (6) times; 21

Card 23 Extension

eleven (11) friends two (2) children

Card 24 Extension

six (6) three (3) children

Extension winter

Card 25 Extension

equally likely more likely

Card 19 black Extension seven (7)

Card 26 Extension

five (5) children twenty-four (24) children

Extension

twenty-four (24) children twelve (12) children

Card 16 Extension

two (2) children twenty-eight (28) children

Card 17 Extension

four (4) times equally likely

© R. I .

C.PuCard bl i c at i o ns twelve (12) school 18 days •f orr evi ew pur poses onl y•

any of the four colours Extension blue Card 11

Card 21 Extension

Card 15

Card 12 green Extension red

Card 6 Extension

even number a one-digit number

Card 13 Extension

three (3) children four (4)

Card 7 Extension

red, smelly flowers red, smelly, tall flowers

Card 14 Extension

four (4) children thirteen (13) children

Card 20 Extension

troll and giant twenty-two (22) toes

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

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Statistics and chance – Answers Card 27 Extension

thirteen (13) children thirty-one (31) children

Card 28 Thursday–7; Friday–9 Extension Yes Card 29 A Extension six (6) times, A Card 30

Extension

three (3) days— Wednesday, Thursday and Friday twenty-two (22) cupcakes

© R. I .

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

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

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