1
Statistics and chance 12 10 8 6 4 2 0
ROOM 4’S BOOK BORROWING
12 10 8 6 4 2 ns © R. I . C.Publ i cat i o 0 Number of children
Number of children
ROOM 3’S BOOK BORROWING
FICTION
NON-FICTION •f o rr evi ew pur posesonl yFICTION •
Types of books borrowed
NON-FICTION
Types of books borrowed
KEY
GIRLS
BOYS
How many children chose a book from the library? R.I.C. Publications® Prim-Ed Publishing
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ROOM 3’S BOOK BORROWING
12 10 8 6 4 2 0
ROOM 4’S BOOK BORROWING
12 10 8 6 4 2 © R. I . C.Publ i cat i o 0 ns Number of children
Number of children
1
Extension
Statistics and chance
FICTION
NON-FICTION
FICTION
NON-FICTION
•f orr evi ew pur posesonl yTypes • of books borrowed Types of books borrowed KEY
GIRLS
BOYS
What is the difference between the total number of fiction and non-fiction books borrowed? R.I.C. Publications® Prim-Ed Publishing
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Distance (metres)
2
Statistics and chance 100 50 0 0
© R. I . C.Publ i cat i ons •f orr e vi ew p ur pose sonl y• 60 120 180 240 Time (seconds)
How many minutes did it take Jorjia to swim from the 25-m mark to the 75-m mark? R.I.C. Publications® Prim-Ed Publishing
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Distance (metres)
2
Extension
Statistics and chance 100 50 0 0
© R. I . C.Publ i cat i ons • orr e vi ew p ur pose sonl y• 60f 120 180 240 Time (seconds)
Jorjia’s record for a 50-m race is 2 minutes and 10 seconds. In the first 50 m of this race, did she swim faster or slower than her record? R.I.C. Publications® Prim-Ed Publishing
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3
Statistics and chance Sarah, Lizzy and Janey are playing with dice. Sarah’s dice is a ten-sided dice with sides numbered 0–9, Lizzy’s dice is a six-sided dice with sides numbered 1–6 and Janey’s dice is a six-sided dice with two sides showing the same numbers from 1–3. Who is least likely to roll a 2?
© 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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Extension
Statistics and chance
Sarah, Lizzy and Janey are playing with dice. Sarah’s dice is a ten-sided dice with sides numbered 0–9, Lizzy’s dice is a six-sided dice with sides numbered 1–6 and Janey’s dice is a six-sided dice with two sides showing the same numbers from 1–3. Which digits on Sarah’s dice are impossible for both Lizzy and Janey © R. I . C.Publ i cat i ons to roll?
•f orr evi ew pur posesonl y•
R.I.C. Publications® Prim-Ed Publishing
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Pets owned by our class Number of pets
4
Statistics and chance KEY ? ONE IMAGE ? REPRESENTS TWO PETS ? © R. I . C.Publ i cat i ons? •f orr evi ew pur posesonl ?y• DOGS
CATS
FISH
BIRDS
OTHER
Types of pets
Which pets are owned by the same number of people and how many people own each? R.I.C. Publications® Prim-Ed Publishing
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Pets owned by our class Number of pets
4
Extension
Statistics and chance KEY ? ONE IMAGE ? REPRESENTS TWO PETS ? © R. I . C.Publ i cat i ons? •f orr evi ew pur posesonl y• ? DOGS
CATS
FISH
BIRDS
OTHER
Types of pets
Which pet is owned by twice as many people as birds and two thirds as many people as dogs? R.I.C. Publications® Prim-Ed Publishing
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5
Statistics and chance While playing a game of cricket, two teams kept a record of each hit that scored 4 runs or 6 runs. TEAM 1’S RECORD OF RUNS
Score
SCORE
FourRUNS runs FOUR
TEAM 2’S RECORD OF RUNS
Tally of hits
©HITS R. I . C.Publ i cat i ons TALLY OF
4, 6, 6, 4, 4, 4, 4, 6, 4, 6, 6, 6, 4, 6, 4, 4, 4
6, 4,s 4, 4onl •f orr evi ew pur po es y•
Six runs SIX RUNS
Which team scored the most runs in total? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
While playing a game of cricket, two teams kept a record of each hit that scored 4 runs and 6 runs. TEAM 1’S RECORD OF RUNS
Score
SCORE
FourRUNS runs FOUR
TEAM 2’S RECORD OF RUNS
Tally of hits
TALLY OF HITS
4, 6, 6, © R. I . C.Pub i c t i o s 4, 4, 4, 4, 6,l 4,a4, 4n •f orr evi ew pur po so nl y 6,se 4, 6, 6,•6, 4, 6, 4, 4, 4
Six runs SIX RUNS
Team 2 was given an extra hit for a dead ball and scored another 4. What is their total score? R.I.C. Publications® Prim-Ed Publishing
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6
Statistics and chance
Jacob, Araj and Lachlan observed the weather on a wet, wintry day. They collected 30 mm of rainfall in their container over 24 hours. That night, while watching the news, they heard that snow is predicted to fall in the next few days. excited the boys ©This R. I . C .Publ i cat i onsas they really wanted to • play in snow. f or r e vi ew pur posesonl y• Which chance word best describes the likelihood of snow falling in the next few days—likely, even chance or unlikely?
R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance
Jacob, Araj and Lachlan observed the weather on a wet, wintry day. They collected 30 mm of rainfall in their container over 24 hours. That night, while watching the news, they heard that snow is predicted to fall in the next few days.©This excited the boys as R. I . C .Publ i cat i ons they really wanted to play inr snow. •f or e vi ew pur posesonl y• Which chance word best describes the likelihood of there being clouds in the sky as they observed the weather—certain, likely, unlikely or impossible?
R.I.C. Publications® Prim-Ed Publishing
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7
Statistics and chance Favourite category of film
A class of twenty-six children conducted a survey 1 1 about each child’s favourite 6 6 category of film—comedy, 1 action, romance, animation 12 I . C.Publ i cat i ons and horror. On the day of© R. f orr evi ew pur pos esonl y•13 the survey, one child•was on 1 4 holidays and one was sick.
Action Animation Comedy Horror Romance
How many children in total liked comedy films and animation films? R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance Favourite category A class of twenty-six children conducted a survey about each child’s 1 1 6 6 favourite category of 1 film—comedy, action, 12 romance, animation and © R. I . C.Publ i cat i ons 1 horror. On the day of the •f or r evi ew pur pose s o n l y • 3 1 survey, one child was on 4 holidays and one was sick.
of film Action Animation Comedy Horror Romance
How many more children liked animation films than comedy films? R.I.C. Publications® Prim-Ed Publishing
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Number of medals
8
Statistics and chance MEDAL COUNT FOR EACH TEAM 30 25 20 15 10 5 0
KEY Gold
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• TEAM 1
TEAM 2
Silver Bronze
TEAM 3
Competing teams
What is the difference in total medals between Team 1 and Team 2? R.I.C. Publications® Prim-Ed Publishing
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Number of medals
8
Extension
Statistics and chance MEDAL COUNT FOR EACH TEAM 30 25 20 15 10 5 0
KEY Gold
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• TEAM 1
TEAM 2
Silver Bronze
TEAM 3
Competing teams
How many medals were awarded to all three teams in total? R.I.C. Publications® Prim-Ed Publishing
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9
Statistics and chance
Ramirez and William are playing ‘Guess the letter’. In this game, the first person chooses a letter of the alphabet and remembers it. The next player tries to guess the letter chosen. The players then swap roles. ©Ramirez R. I . C.Publ i cat i ons thinks of a letter from A–Z. •f orr evi ew pur posesonl y• What chance word best describes the likelihood of Ramirez choosing a vowel—certain, likely, even chance, unlikely or impossible? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
Ramirez and William are playing ‘Guess the letter’. In this game, the first person chooses a letter of the alphabet and remembers it. The next player tries to guess the letter chosen. © William R. I . C.Publ i cat i ons The players then swap roles. •f orr evi ew pur posesonl y• thinks of a letter from A–Z. What chance word best describes the likelihood of William choosing a letter that comes before N in the alphabet— certain, likely, even chance, unlikely or impossible? R.I.C. Publications® Prim-Ed Publishing
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10
Statistics and chance
Muffin flavours
FAVOURITE MUFFIN FLAVOURS Chocolate � CHOCOLATE
����������
SCALE ONE TICK REPRESENTS FIVE PEOPLE
� � �©� R �. �I � �.P �u �b �l �i �a �t . C c i ons e e posesonl y• Vanilla • �f �or � �r �v �i �w � �pur VANILLA Blueberry BLUEBERRY
Number of people How many fewer people voted for vanilla than blueberry muffins? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
Muffin flavours
FAVOURITE MUFFIN FLAVOURS Chocolate � CHOCOLATE
����������
SCALE ONE TICK REPRESENTS FIVE PEOPLE
�������������� © R. I . C.Publ i cat i ons e e posesonl y• Vanilla • �f �o�r�r �v �i �w � �pur VANILLA Blueberry BLUEBERRY
Number of people If 15 new people voted for raspberry muffins, how many people voted altogether? R.I.C. Publications® Prim-Ed Publishing
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Number of children
11
Statistics and chance
50 40 30 20 10 0
© R. I . C.Publ i cat i ons • f orr e vi ew pu r pose sonl yCAR • WALK BICYCLE BUS TRAIN
OTHER
Mode of transport
How many more children took a bus, car or train to school than those who walked or rode a bicycle? R.I.C. Publications® Prim-Ed Publishing
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Number of children
11
Extension
Statistics and chance
50 40 30 20 10 0
WALK
© R. I . C.Publ i cat i ons •f orr e vi ew p ur pose sonl y• BICYCLE BUS TRAIN CAR OTHER Mode of transport
Another school conducted the survey and found that 65 children walked, 20 rode a bike, 40 came in a car and 10 used other means.
Which school had more children—the original school surveyed or the second school surveyed? R.I.C. Publications® Prim-Ed Publishing
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12
Statistics and chance
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
If Ty randomly chose an item of clothing, would he have more, equal or less chance of selecting a striped item than a plain item? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
If Ty randomly chose an item of clothing, would he have more, equal or less chance of selecting a blue item than an item with a picture? R.I.C. Publications® Prim-Ed Publishing
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13
Statistics and chance FEMALES The teacher made a list of children’s test scores. The results were:
MALES
Ezra Kate
15/20 9/20
Dominic Phillip
16/20 14/20
Sasha Sky
18/20 13/20
Nathan Steven
20/20 8/20
Amira 0/20 © R. I . C.Pu bl i caBen t i ons 15/20 Xin 19/20 Brodie •f or r evi ew p ur posesonl y•7/20 Linda Alicia
13/20 17/20
Marshall 10/20 Luis 13/20
Which score appeared the most number of times and how many children scored this score? R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance FEMALES
The teacher made a list of children’s test scores. The results were:
MALES
Ezra Kate
15/20 9/20
Dominic Phillip
16/20 14/20
Sasha Sky
18/20 13/20
Nathan Steven
20/20 8/20
Linda Alicia
13/20 17/20
Marshall 10/20 Luis 13/20
© R. I . C.Pu bl i cat i ons 15/20 Amira 0/20 Ben •f orXin r evi ew p ur pose sonl y•7/20 19/20 Brodie
How many children scored below 50% (below half) on the test? R.I.C. Publications® Prim-Ed Publishing
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Tourist attractions
14
Statistics and chance
Historical sites Shopping centres Theme parks © R. I . C.Publ i cat i ons Castles •f orr evi ew pur posesonl y• Beaches 0
20 000
40 000
Number of tourists
How many more tourists visited beaches than shopping centres? R.I.C. Publications® Prim-Ed Publishing
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Tourist attractions
14
Extension
Statistics and chance
Historical sites Shopping centres Theme parks © R. I . C.Publ i cat i ons Castles •f orr evi ew pur posesonl y• Beaches 0
20 000
40 000
Number of tourists
How many tourists were surveyed altogether? R.I.C. Publications® Prim-Ed Publishing
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15
Statistics and chance
Robbie and Razael are playing with a deck of cards. They shuffle all 52 cards and spread them out on the table. There are four suits of cards in one deck—hearts, diamonds, clubs and spades. There are 13 cards in each suit—an ace the ©(one), R. I . C. Publ i cat i ons numbers 2–10, a jack, a• queen and a king. f orr e vi ew pur posesonl y• Which chance word describes the likelihood of selecting a diamond or a heart from the deck—certain, likely, even chance, unlikely or impossible? R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance
Robbie and Razael are playing with a deck of cards. They shuffle all 52 cards and spread them out on the table. There are four suits of cards in one deck—hearts, diamonds, clubs and spades. There are ©(one), R. I . C. Publ i cat i ons 13 cards in each suit—an ace the f orr e vi ew pur posesonl y• numbers 2–10, a jack, a• queen and a king. Which chance word describes the likelihood of selecting a picture card (jack, queen or king) from the deck—certain, likely, even chance, unlikely or impossible? R.I.C. Publications® Prim-Ed Publishing
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16
Statistics and chance
KEY
Train stations
Badgin Mossley Mt Snook Grimsbey Brucille Lupeeta
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• 10
20
Time (minutes)
BLUE TRAIN RED TRAIN
30
One train was delayed. At which station was it delayed and for how long? R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance
KEY
Train stations
Badgin Mossley Mt Snook Grimsbey Brucille Lupeeta
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• 10
20
Time (minutes)
BLUE TRAIN RED TRAIN
30
If the red train continues at the same rate, how much longer will it take to reach Badgin station? R.I.C. Publications® Prim-Ed Publishing
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17
Statistics and chance
Number of people
FIRST LANGUAGE SPOKEN AT HOME
KEY
ONE IMAGE REPRESENTS TEN PEOPLE
HELLO
HELLO
NI HAO
MARHABAN
NI HAO
MARHABAN
HELLO
BONJOUR
HELLO
BONJOUR
NI HAO
MARHABAN
HOLA
HELLO
BONJOUR
NI HAO
MARHABAN
HOLA
ENGLISH
FRENCH
CHINESE
DIA DUIT
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• ARABIC
DIA DUIT
HALLO
SPANISH AFRIKAANS
DIA DUIT
IRISH
Language
How many less people speak Irish or Afrikaans than English or Chinese? R.I.C. Publications® Prim-Ed Publishing
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FIRST LANGUAGE SPOKEN AT HOME Number of people
17
Extension
Statistics and chance
KEY
ONE IMAGE REPRESENTS TEN PEOPLE
HELLO
HELLO
NI HAO
MARHABAN
NI HAO
MARHABAN
HELLO
BONJOUR
HELLO
BONJOUR
NI HAO
MARHABAN
HOLA
HELLO
BONJOUR
NI HAO
MARHABAN
HOLA
ENGLISH
FRENCH
CHINESE
DIA DUIT
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• ARABIC
DIA DUIT
HALLO
SPANISH AFRIKAANS
DIA DUIT
IRISH
Language
If three hundred people were surveyed, how many people spoke a language that is not shown? R.I.C. Publications® Prim-Ed Publishing
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18
Statistics and chance A bag of mixed sweets contained 90 items. There were more cola bottles than liquorice pieces; more liquorice pieces than jelly beans; an equal number of jelly beans and toffees; and less mints than any other item. Which chance word describes the likelihood of choosing ©bag—certain, R. I . C.Publ i c at i on s chance, a lollipop from the likely, even •f orr evi ew pur posesonl y• unlikely or impossible?
R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance
A bag of mixed sweets contained 90 items. There were more cola bottles than liquorice pieces; more liquorice pieces than jelly beans; an equal number of jelly beans and toffees; and less mints than any other item. Which type of sweet most likely be chosen at random © Ris . I . C.Pu bl i cato t i o ns from the bag?
•f orr evi ew pur posesonl y•
R.I.C. Publications® Prim-Ed Publishing
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19
Statistics and chance
CLASS SURVEY OF BREAKFAST EATEN MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
CEREAL PORRIDGE COOKED BREAKFAST TOAST
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
OTHER
If all the children in the class completed the survey on Monday, on which day were children absent? R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance
CLASS SURVEY OF BREAKFAST EATEN MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
CEREAL PORRIDGE COOKED BREAKFAST TOAST
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
OTHER
Which is the most popular breakfast category for the whole week? R.I.C. Publications® Prim-Ed Publishing
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20
Statistics and chance
A family created a budget for their upcoming holiday. They realised their flights and accommodation required half of the total money they wanted to © R. I . C.Publ i cat i ons spend on this holiday.
•f orr evi ew pur posesonl y•
Which three categories were allocated the same amount of the budget?
Flights Accommodation Transportation Food and drinks Attractions Shopping Other
R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
A family created a budget for their upcoming holiday. They realised their flights and accommodation required half of the total money they wanted I . C.Publ i cat i ons to spend on this holiday. © R.
•f orr evi ew pur posesonl y•
2 If 10 of the budget is allocated to ‘food and drinks’ and ‘shopping’ combined, what fraction of the budget is allocated to transportation?
Flights Accommodation Transportation Food and drinks Attractions Shopping Other
R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 40
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Statistics and chance Pedro, Justin and Kai had one coin each. The boys realised if they flipped one coin, it had a 50% (1 in 2) chance of landing on heads and a 50% (1 in 2) chance of landing on tails. If all three boys flipped their coins once, © R. I . C.Publ i cat i ons what are the different combinations of heads and/or tails • they could make; f or r evi e w pur posesonl y• e.g. HHH (heads, heads, heads)?
R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 41
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Extension
Statistics and chance
Pedro, Justin and Kai had one coin each. The boys realised if they flipped one coin, it had a 50% (1 in 2) chance of landing on heads and a 50% (1 in 2) chance of landing on tails. If all three boys flipped their coins once, © R. I . C.Pu bl i cat i ons how many different combinations of heads and/or tails could they make? •f orr evi e w pur posesonl y•
R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 42
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Statistics and chance Henry desperately wanted to improve his golf scores by equalling the par (recommended score) for each hole. He played the first HENRY’S SCORES 9 holes, stopped for lunch, andGOLF then played the second 9 holes.
HOLE
1
2
3
4
PAR
3
3
2
5
SCORE
3
4
4
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5 © 6 R. 7. 9l 10 11 I C.8Pub i c at i o ns12 13 14 15 16 17 18
•f orr evi ew pur posesonl y• 4 3 4 5 3 4 3 2 3 3
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2
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3
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8
5
7
6
4
How many more holes did Henry score over par than under par? R.I.C. Publications® Prim-Ed Publishing
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Extension
Statistics and chance
Henry desperately wanted to improve his golf scores by equalling or scoring a number under the par (recommended score) for each hole. He played the firstHENRY’S 9 holes, stopped for SCORES lunch, and then played the GOLF second 9 holes.
4
5
2
© R. I . C.Publ i cat i ons 6 7 8 9 10 11 12 13 14 15 16 17 18 •f orr evi ew pur posesonl y• 5 4 3 4 5 3 4 3 2 3 5 4 6 4 3
4
3
3
HOLE
1
2
3
PAR
3
3
SCORE
3
4
4
2
5
3
3
2
2
3
8
5
7
6
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Did Henry play better golf on the first 9 holes or the second 9 holes? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 44
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23
Statistics and chance
Height in mm
150
HEIGHT COMPARISON AT 5 AND 10 YEARS OLD
140
KEY
130 120
10 YEARS OLD
110
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
100 0
PHILLIP NICHOLAS
IMRAN
DYLAN
5 YEARS OLD
JUAN
Children measured
Which child grew the most between 5 and 10 years of age and how much did he grow in that time? R.I.C. Publications® Prim-Ed Publishing
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23
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Statistics and chance Height in mm
150
HEIGHT COMPARISON AT 5 AND 10 YEARS OLD
140
KEY
130 120
10 YEARS OLD
110 100 0
IMRAN
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• PHILLIP NICHOLAS
DYLAN
5 YEARS OLD
JUAN
Children measured
Order the children in descending order according to how much they grew from 5–10 years of age. R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 46
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24
Statistics and chance
Mum is making a fruit salad. She cuts 1 orange into 16 pieces, 2 apples into 16 pieces each, 14 of a watermelon into 20 pieces, 12 a pineapple into 18 pieces, 4 bananas into 10 pieces each and 18 strawberries into halves. She adds 24 blueberries and 14 raspberries to the bowl and mixes all the fruit together.
© R. I . C.Publ i cat i ons Which piece of fruit is most to chosen aton random •f orlikely r evi e wbe pu r poses l y• from the fruit salad?
R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 47
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Statistics and chance
Mum is making a fruit salad. She cuts 1 orange into 16 pieces, 2 apples into 16 pieces each, 14 of a watermelon into 20 pieces, 12 a pineapple into 18 pieces, 4 bananas into 10 pieces each and 18 strawberries into halves. She adds 24 blueberries and 14 raspberries into the bowl and mixes all the fruit together.
© R. I . C.Publ i cat i ons
Write the fruit in order from most likely to least likely to be chosen at random •f orr evi ew pur posesonl y• from the bowl.
R.I.C. Publications® Prim-Ed Publishing
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0–14 years 15–64 years 65+ years
Age ranges
Age ranges
25
Statistics and chance
0–14 years 15–64 years
© R. I . C.Publ i cat i ons •f orr evi ew pur poses65+ onl y• years
Number of people
Number of people
SCALE: 1 SYMBOL REPRESENTS 100 PEOPLE
What is the total population of the town of Labrios? R.I.C. Publications® Prim-Ed Publishing
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15–64 years 65+ years
Age ranges
0–14 years
Age ranges
25
Extension
Statistics and chance
0–14 years 15–64 years
© R. I . C.Publ i cat i ons 65+ •f orr evi ew pur poses onl y• years Number of people
Number of people
SCALE: 1 SYMBOL REPRESENTS 100 PEOPLE
Which age range has the most people in total and by how many more than the second highest? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance A town planning group surveyed 200 people in a small town to build 20 a new sporting venue. The townspeople were 40 asked, ‘Which sport do © R. I . C.Publ i cat i ons you enjoy playing the •f orr evi ew pur posesonl y•35 most?’ The results are shown in the pie chart. 20 10
Football Netball Rugby Basketball Tennis Cricket Golf Other
If they can only cater for two sports, which should they choose to accommodate the most people? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance A town planning group surveyed 200 people in a small town to build 20 a new sporting venue. The townspeople were 40 asked, ‘Which sport do © R. I . C.Publ i cat i ons you enjoy playing the •f orr evi ew pur posesonl y•35 most?’ The results are shown in the pie chart. 20 10
Football Netball Rugby Basketball Tennis Cricket Golf Other
If one quarter of the people voted for football, how many voted for basketball? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 52
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27
Statistics and chance
Leah and Isabella are building a house with wooden blocks. Leah has 50 yellow blocks, 16 green blocks, 38 red blocks and 78 blue blocks. Isabella has 26 yellow blocks, 72 green blocks, 45 red blocks and 21 blue blocks. The R. I . C.Pu bl i cat i ons girls decided to combine all© the blocks into •f orr evi ew pur posesonl y• one big box. Which chance word best describes the probability of selecting a blue block from the box—certain, likely, even chance, unlikely or impossible? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 53
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Statistics and chance
Leah and Isabella are building a house with wooden blocks. Leah has 50 yellow blocks, 16 green blocks, 38 red blocks and 78 blue blocks. Isabella has 26 yellow blocks, 72 green blocks, 45 red blocks and 21 blue R. I . C.P ub l i cat i ons blocks. The girls decided to© combine all their •f orr evi ew pur posesonl y• blocks into one big box. Write the colours from most likely to be chosen to least likely to be chosen at random from the box.
R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 54
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28
Statistics and chance
Rainfall (mm)
20
80
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
40
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J
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S
O
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D
15 10 5
Rainfall
Temperature (ºC)
25
0
KEY
30
120
Temperature
0
Months of the year
Which month shows temperatures less than 10 ºC and with 1 12 times more rainfall than October? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
Rainfall (mm)
20
80
15
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
40
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Rainfall
Temperature (ºC)
25
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KEY
30
120
Temperature
0
Months of the year
What is the difference in rainfall between the hottest and coldest month? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 56
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29
Statistics and chance Surveyors recorded vehicles that used a certain stretch of road. MONDAY
TUESDAY
WEDNESDAY THURSDAY
FRIDAY
SATURDAY
SUNDAY
VAN CAR BUS MOTORCYCLE BICYCLE
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
OTHER
Which vehicle had the greatest decrease from weekday traffic to weekend traffic? R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance
Surveyors recorded vehicles that used a certain stretch of road. MONDAY
TUESDAY
WEDNESDAY THURSDAY
FRIDAY
SATURDAY
SUNDAY
VAN CAR BUS MOTORCYCLE BICYCLE
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
OTHER
Which day should roadworks be completed so that the least number of people are disrupted? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 58
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Statistics and chance
Three girls made spinners. Jamie made spinner 1, Charlie made spinner 2 and Ayla made spinner 3. SPINNER 1
SPINNER 2
SPINNER 3
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Which two girls have an equal chance of their spinner landing on blue? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 59
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Statistics and chance
Three girls made spinners. Jamie made spinner 1, Charlie made spinner 2 and Ayla made spinner 3. SPINNER 1
SPINNER 2
SPINNER 3
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
Who is least likely to have her spinner land on either yellow or red? R.I.C. Publications® Prim-Ed Publishing
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####RB Problem Solving Cards Yr 4 (RED).indd 60
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Statistics and chance – Answers Card 1 Extension
55 children 1 more non-fiction book
Card 2 Extension
2 minutes Faster
Card 3 Extension
Sarah 0, 7, 8, 9
Card 4 Extension
Dogs and fish, owned by 6 people each Cats
Card 5 Extension
Team 1 86 runs
Card 6 Extension
Likely Certain
Card 7 Extension
14 children 2 children
Card 8 Extension
10 medals 175 medals
Card 15 Extension
Even chance Unlikely
Card 22 Extension
3 holes The first 9 holes
Card 9 Extension
Unlikely Even chance
Card 16 Extension
Brucille, 5 minutes 5 minutes longer
Card 23 Extension
Card 10 Extension
25 people 185 people
Card 17 Extension
50 less people 80 people
Juan, 34 cm Juan, Phillip, Dylan, Nicholas and Imran
Card 11 Extension
45 more children Original school surveyed
Card 18 Extension
Impossible Cola bottles
Card 24 Extension
Extension
Less chance
Extension
Other
Banana Banana, strawberry, apple, blueberry, watermelon, pineapple, orange, raspberry
Card 13 Extension
13 , 3 children 20
Card 20
Transportation, attractions and other
Card 25 Extension
3400 people 15–64 year olds, 50 people
4 children
Extension
Card 14 Extension
45 000 more tourists 135 000 tourists
Card 21
Card 26 Extension
Football and rugby 25 people
© R. I . C.Publ i cat i ons 19 s Thursday •f o rr evi ew puCard r po es onl y• More chance Card 12
Extension
1 10
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT 8 combinations
R.I.C. Publications® Prim-Ed Publishing
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Statistics and chance – Answers Card 27 Extension
Likely Blue, green, red, yellow
Card 28 Extension
April 40 mm of rainfall
Card 29 Extension
Car Friday
Card 30 Extension
Jamie and Ayla Charlie
© 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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