Problem-Solving Strategies & Skills – Statistics & Chance: Year 5

1

Statistics and chance

Cars sold over three years Car sales (to the nearest hundred)

A car sales company 1600 recorded the yearly car 1400 sales for each of the three 1200 major brands it stocks, © R. 1000 I .

C.Publ i cat i ons 800 over three years.

Key: Boulder

•f orr evi ew600 pur posesonl y•

Which is the lowest selling brand overall and what is its total?

Stargh Brumbi

400 200 2014

2015 Year

2016

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A car sales company recorded the yearly car sales for each of the three major brands it stocks, over three years.

Cars sold over three years Car sales (to the nearest hundred)

1

Statistics and chance

1600 1400 1200 1000 800 600 400 200

Key:

© R. I .

C.Publ i cat i ons Boulder offered the company •f orr evi ew pur posesonl y• a bonus if they sold 20% more than any other brand over the three years. Did they receive a bonus?

2014

2015 Year

Boulder Stargh Brumbi

2016

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Statistics and chance

Number of children

Children’s test scores ✔

A teacher used a ✔ pictogram to record the ✔ ✔ test scores of a number © R. I .

C.Publ i cat i on of children. ✔ ✔s ✔ ✔

•f orr evi ew pur p osesonl y• ✔ ✔ ✔ ✔ ✔ ✔

How many children scored over 55% on their test?

✔ ✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

0

1

2

3

4

5

6

7

8

9

10

Test scores

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A teacher used a pictogram to record the test scores of a number of children.

Children’s test scores Number of children

2

Statistics and chance

✔ ✔ ✔

✔

© R. I .

C.Publ i cat i on ✔ ✔s✔ ✔ How many children•f orr evi ew pur p osesonl y• ✔ ✔ ✔ ✔ ✔ ✔ got less than a quarter or more than three-quarters of the questions correct?

✔ ✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

✔

0

1

2

3

4

5

6

7

8

9

10

Test scores

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3

Statistics and chance Jonah, Steven and Delilah are playing with dice. Jonah’s dice is twelve-sided, with sides numbered 1–12. Steven’s dice is sixsided, with sides numbered 1–6. Delilah’s dice is ten-sided, with two sides showing ©R .

I .

C. Publ i cat i ons the same numbers from 1–5.

•f orr evi ew pur posesonl y•

Which chance word best describes each child’s chance of rolling a number equal to or less than 5—certain, likely, even chance, unlikely or impossible?

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Statistics and chance Jonah, Steven and Delilah are playing with dice. Jonah’s dice is twelve-sided, with sides numbered 1–12. Steven’s dice is six-sided, with sides numbered 1–6. Delilah’s dice is ten-sided, with two sides same ©showing R. I .

C.Pthe ubl i cat i ons numbers from 1–5.

•f orr evi ew pur posesonl y•

Which chance word best describes each child’s chance of rolling an even number— certain, likely, even chance, unlikely or impossible?

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Statistics and chance

Od d

•f orr evi ew pur posesonl y• 5

What criterion label is missing from the Venn diagram?

9 21 27 33 39 15 25 35

8 12 14 16 18 22 24 26 28 32 34 36 10 20 38 30 40

mber nu

1 3 7 Jemima and Izzy were sorting all 11 13 17 19 23 29 the numbers between one and © R .

I .

C .

P u b l i c a t i o ns 31 37 forty according to three criteria.

Comp os 246 it

e

er mb u n

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Statistics and chance

Od d

If the girls extended the range •f oto rr evi ew pur posesonl y• 5 of numbers from forty one hundred, how many numbers would be in the bottom segment only?

9 21 27 33 39 15 25 35

8 12 14 16 18 22 24 26 28 32 34 36 10 20 38 30 40

mber nu

1 3 7 11 13 17 19 23 29 © R. I .

C.Publ i cat i o ns 31 37

Comp os 246 it

e

Jemima and Izzy were sorting all the numbers between one and forty according to three criteria.

er mb u n

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5

Statistics and chance

Cities

2016 Population data

Greche Meandu Plasch Kingary Leoch

© R. I .

C.Publ i cat i ons •f or r evi ew200p000 ur pose so nl y•600 000 0 400 000 Population

What is the difference between the population of Plasch and the population of Meandu?

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Statistics and chance

Cities

2016 Population data

Greche Meandu Plasch Kingary Leoch

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• 0

200 000 400 000 Population

600 000

What is the total population of the five cities?

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Statistics and chance Caitlyn had flashcards of different 3-D objects.

© R. I .

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

Caitlyn shuffled the cards and drew one at random. What is the chance, written as a fraction, that she will choose neither a prism nor a pyramid?

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Statistics and chance Caitlyn had flashcards of different 3-D objects.

© R. I .

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

Caitlyn shuffled the cards and drew one at random. What is the chance, written as a fraction, that she will choose a prism with more than 12 edges?

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Statistics and chance

Corban was researching the average populations of endangered species for an oral presentation.

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• If only three of these species are on the critically endangered list, which species in the graph are not critically endangered?

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Statistics and chance

Corban was researching the average populations of endangered species for an oral presentation.

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• If the Bengal tiger population was to decrease by 250 tigers per year, in how many years will they be extinct?

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Statistics and chance Favourite amusement park attractions The visitors to an amusement 9% 5% park on a particular day were Key asked to vote for their favourite Rollercoasters 18% Water slides attraction type so the park 19% Bumper cars owners could purchase more 2% © R. I .

C.P ubl i cat i ons Ferris wheels attractions.

Bouncy castles 6%

•f orr evi ew pur posesonl y•

If 2900 people attended the amusement park on this day, how many people voted for each attraction type?

14%

27%

Rock climbing walls Pendulum rides Other

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Statistics and chance The visitors to an amusement Favourite amusement park attractions park on a particular day were 9% 5% asked to vote for their favourite Key Rollercoasters 18% attraction type so the park Water slides owners could purchase more © R. I .

C.Publ i cat i ons 19% Bumper cars attractions.

2% Ferris wheels

•f orr evi ew pur posesonl y•

If 324 people voted for pendulum rides on this day, how many people voted altogether?

6%

14%

27%

Bouncy castles Rock climbing walls Pendulum rides Other

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Statistics and chance

Drake and Kendrick are doing magic tricks with the diamond picture cards in a deck. Drake places the cards face down on the table in a random order. He challenges Kendrick to guess © R. I .

C.Publ i ca t i ons the order of the cards on the table.

•f orr evi ew pur posesonl y•

As a fraction and a decimal to three decimal places, what is the probability that Kendrick will guess the right order?

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Statistics and chance Drake and Kendrick are doing magic tricks with the diamond number cards in a deck. Drake selects four cards with single-digit numbers greater than five and places them face down on the table in a random©order.

R. I .

CHe .Pchallenges ubl i cat i ons Kendrick to guess the order of the numbers on •f orr evi ew pur posesonl y• the table.

What is the probability, as a fraction and a decimal, that Kendrick will guess the right order?

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Statistics and chance

Class 5 Class 6

Votes

Class 5 and Class 6 votes for prefects Class 5 and Class 6 voted for 50 who they wanted as the Class 6 prefect for the year. Class 5 40 children had one vote each and Class 6 children had two votes 30 © R. I .

C.Publ i cat i ons each.

•f orr evi ew20pur posesonl y•

If the Head Boy or Head Girl is chosen according to who was most popular overall, who was named for this role and by how many votes did he/she win?

10 0

Shanti

Jay Nikki Shawn Prefect nominees

Justin

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Statistics and chance

Class 5 Class 6

Votes

Class 5 and Class 6 votes for prefects Class 5 and Class 6 voted 50 for who they wanted as the Class 6 prefect for the year.

40 Class 5 children had one vote each and Class 6 children had 30 © R. I .

C.Publ i cat i ons two votes each.

•f orr evi ew20pur posesonl y•

There are three Class 5s and three Class 6s. The children are spread evenly among each class. How many children are in each class?

10 0

Shanti

Jay Nikki Shawn Prefect nominees

Justin

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Statistics and chance

Average daily activity (minutes)

Black bears typically Average daily activity of wild black bears move through five phases 800 of activity in one year— 720 640 hibernation, walking 560 hibernation, normal 480 activity, hyperphagia 400 © R. I .

C.Publ i cat i ons 320 (excessive eating) and •f orr evi ew pur posesonl y• 240 autumn transition 160 (hibernation preparation).

80 In which months do black bears average between 3 and 8 hours of activity a day?

0

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Months of the year

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Statistics and chance Average daily activity (minutes)

Average daily activity of wild black bears Black bears typically move 800 through five phases of activity 720 in one year—hibernation, 640 walking hibernation, normal 560 480 activity, hyperphagia (excessive 400 eating) and autumn transition 320 I .

C. Publ i cat i ons (hibernation preparation). © R. 240

•f orr evi ew160pur posesonl y•

Black bears do the most activity 80 0 during their normal activity Jan Feb Mar Apr May Jun Jul Aug Sep Oct Months of the year and hyperphagia stages, which lasts for six months. Which months of the year do they spend in each of the other phases, if they spend equal amounts of time in each?

Nov Dec

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Statistics and chance

All people have blood in their body but the type of blood we have is different. The blood type determines who a person can donate to and receive blood from.

Blood type

Can donate blood to:

Can receive blood from:

A+

A+ AB+

A+ A– O+ O–

O+

O+ A+ B+ AB+

O+ O–

B+

B+ AB+

B+ B– O+ O–

© R. I .

C.Publ i cat i ons AB+ Which chance word best describes •f o rr evi ew pur posesonAB+ l y• the probability of a person with AB– blood receiving blood from someone with a positive blood type—certain, likely, even chance, unlikely, impossible?

Everyone

A–

A+ A– AB+ AB–

A– O–

O–

Everyone

O–

B–

B+ B– AB+ AB–

B– O–

AB–

AB+ AB–

AB– A– B– O–

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Statistics and chance Blood

Can donate blood

All people have blood in their type to: body but the type of blood we A+ A+ AB+ have is different. The blood type O+ O+ A+ B+ AB+ determines who a person can B+ B+ AB+ donate to and receive blood ©from.

R. I .

C.Publ i cat i ons AB+

AB+

•f o rr evi ew pur posesonl y• Which chance word best describes A– A+ A– AB+ AB– the probability of a person receiving O– Everyone blood from someone with an Oblood type—certain, likely, even B– B+ B– AB+ AB– chance, unlikely, impossible?

AB–

AB+ AB–

Can receive blood from: A+ A– O+ O– O+ O– B+ B– O+ O– Everyone A– O– O– B– O– AB– A– B– O–

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Statistics and chance

Minutes of usage

Zak’s technology usage in one week 120

Phone

105

iPod™

90

iPad™/Tablet

75

Computer

60 45

© R. I .

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

30 15 0

Sun

Mon

Tues

Wed

Thurs

Days of the week

Fri

Sat

On Thursday and Friday, Zak was given an extra 20 minutes each day for good behaviour, which he spent on his iPod™.

How many minutes in total did he use his iPod™ for this week?

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Zak’s technology usage in one week

Minutes of usage

13

Statistics and chance 120

Phone

105

iPod™

90

iPad™/Tablet

75

Computer

60 45 30 15 0

© R. I .

C.Publ i cat i ons •Mon f orr evi eWed w pu r pos esoSat nl y• Sun Tues Thurs Fri Days of the week

On Thursday and Friday, Zak was given an extra 20 minutes each day for good behaviour, which he spent on his iPod™.

Which devices did Zak spend the least time using in one week and how long did he spend playing on each?

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Statistics and chance

A theatre, with a capacity to hold 145 people, kept a record of the types of snacks bought at each © R. I .

C.Publ i cat i ons performance in one day.

•f orr evi ew pur posesonl y•

On this particular day, which snack was the most popular with females?

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Statistics and chance

A theatre, with a capacity to hold 145 people, kept a record of the types of snacks bought at each performance in one day. © R. I .

C.Publ i cat i ons

•f orr evi ew pur posesonl y• If every person attending a performance bought one type of snack each, which performance was full to capacity?

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Statistics and chance Andrew, Ryan and Olivia were playing ‘Rock, paper, scissors’. When played with two people, a winner is determined by the following rules: rock beats scissors, scissors beats paper and paper beats rock. If these R. I .

C.Publ i cat i ons rules are followed with © three people playing the game, • there be f orcould r evi e wzero, pur posesonl y• one, two or three winners in any one round.

If there are three people playing the game, what is the probability of two people winning a round as a fraction?

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Statistics and chance Andrew, Ryan and Olivia were playing ‘Rock, paper, scissors’. When played with two people, a winner is determined by the following rules: rock beats scissors, scissors beats paper and paper beats rock. If© these rules are R. I .

C.Pu bl i cat i ons followed with three people playing the •f orr evi ew pur posesonl y• game, there could be zero, one, two or three winners in any one round.

If there are three people playing the game, what is the probability of having no-one or everyone win a round?

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Statistics and chance Which pie chart shows the information in the table correctly?

Number of people who viewed a film Comedy

Horror

Drama

Action

Documentary

40

32

16

48

24

© R. I .

C.Publ i cat i ons A B C 16%

24%

31%

19% 10%

•f orr evi ew pur p osesonl y• 20%

15%

30%

25%

30%

20%

15% 10%

25%

10% R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance If the category of Other , with 27 people, was added to the table which pie chart represents all the information?

Number of people who viewed a film over the weekend Comedy

Horror

Drama

Action

Documentary

54

18

9

27

45

© R. I .

C.Publ i cat i ons •f orr evi ew15% pur posesonl y•

A B C 29%

35%

25% 10%

10%

12% 6%

30%

30% 25%

18%

15%

15%

5%

15%

5% R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance Birthweight of babies born in January at Houndsmith Hospital

•

•

• •

• • •

• •

• •

Key:

• • 5 babies • • • What is the • • • difference between •.

• Publ ©• R. I C. i cat i ons the number of • • • • •f o v•i ew posesonl y•babies that weighed • rr •e • p•ur from 2.5 kg to • • • • • • • 3.1 kg, and the • • • • • • • • •

2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4 Kilograms

number of babies that weighed from 3.2 kg to 4 kg?

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Statistics and chance Birthweight of babies born in January at Houndsmith Hospital

Key: 10 girls 10 boys

2.5 2.6 2.7 2.8 2.9 3

What is the difference between © R. I .

C.Publ i cat i ons the number of girls that weighed more •f orr evi ew pur posesonl y• than and including 3.4 kg, and the number of boys that 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4 weighed less than Kilograms and including 3.3 kg?

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Statistics and chance

From impossible to certain, where do these events belong on the probability line? (a) Rolling a six-sided dice, numbered 1–6, and landing on an odd number. (b) Rolling a six-sided dice, numbered 1–6, and landing on 2. (c) Rolling a six-sided dice, numbered 1–6, and landing on 3 or higher.

© R. I .

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

(d) Rolling a six-sided dice, numbered 1–6, and landing on any number. (e) Rolling a six-sided dice, numbered 1–6, and landing on 0. impossible 0

unlikely

even chance 0.5

likely

certain 1

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Statistics and chance

Where do these events belong on the probability line? (a) (b) (c) (d) (e) (f)

Flipping a coin and landing on heads.

Rolling a six-sided dice, numbered 1–6, and landing on an odd or even number.

Choosing one winning number out of numbers 1–25.

Choosing one winning raffle ticket out of 1000 tickets.

Rolling a six-sided dice, numbered 1–6, and landing on 0. © R. I .

C.Publ i cat i ons Selecting a ball with a number of 60 or less from a barrel containing balls •f orr evi ew pur posesonl y• numbered 1–100. (g) Buying 9900 tickets in a charity raffle, out of 10 000 available tickets, and winning. impossible

0

very unlikely

unlikely

even chance

0.5

likely

very likely

certain

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

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Statistics and chance Profit and loss for Japan Skateboards (2017) 80 000 60 000

How much money did Japan © R. I .

C.Publ i cat i ons Skateboards make •f orr evi ew pur posesonl y• in the first six months of 2017?

Yen (¥)

40 000 20 000 0 –20 000 –40 000 –60 000

Jan

Feb

Mar

Apr

May

June

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

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Statistics and chance Profit and loss for Japan Skateboards (2017) 80 000

Were the combined earnings from March and April, greater © R. I .

C.Publ i cat i ons or less than the combined earnings •f orr evi ew pur posesonl y• from January and February and by how many yen?

60 000

Yen (¥)

40 000 20 000 0 –20 000 –40 000 –60 000

Jan

Feb

Mar

Apr

May

June

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

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Statistics and chance Northshore Knights game statistics from Match 13 Player Points Fouls Player Points Fouls Johnson 3 1 Smilek 2 0 Akubra 2 0 Fontini 6 1 Calista 2 0 Spellman 8 1 Li 1 1 0 © R. I .

C .PuAlvarez bl i cat i ons 7 Kuta 6 2 Zuniga 12 0 • f o r r e v i e w p u r p o s e s o n l y • Zanini 9 0 Anderson 25 0 O’Laughlin 2 3 MacGinty 11 0

What percentage of the total point score did Akubra, Calista and Smilek contribute?

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Statistics and chance

Which is greater: (a) the difference Northshore Knights game statistics from Match 13 between the Player Points Fouls Player Points Fouls most common Johnson 3 1 Smilek 2 0 points scored Akubra 2 0 Fontini 6 1 © R .

I .

C .

P u b l i c a t i o n s and the Calista 2 0 Spellman 8 1 orr evi ew1 pur po s e s o n l y • average points Li•f 1 Alvarez 7 0 scored; or Kuta 6 2 Zuniga 12 0 (b) the difference Zanini 9 0 between the O’Laughlin 2 3 most frequent fouls and the average number of fouls?

Anderson MacGinty

25 11

0 0

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Statistics and chance

As part of Mallory’s magic tricks show, she flipped three coins, one after the other, and invited the audience to predict the heads or tails combination of the coins.

© R. I .

C.Publ i cat i ons

One audience member predicted the first coin f orr e vi ew pur p sesonl y• would be tails, the• second coin would beoheads and the third coin would be heads.

What is the chance, expressed as a fraction, that this is the correct combination?

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Statistics and chance As part of Mallory’s magic tricks show, she flipped three coins, one after the other, and invited the audience to predict the heads or tails combination of the coins.

Suki predicted the first coin would be tails and © R. I .

C.Publ i cat i ons the third coin would also be tails. Iva predicted f orcoins r evi e wp ur pon os esonl y• that there would be•two that land heads and one on tails, but didn’t specify in what order.

Who had more chance of being correct, and what chance did they have, expressed as a fraction?

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Statistics and chance

Northtown residents recently responded to a survey about whether a local tennis court should be built in the © R. I .

C.P ubl i c at i on speople in two particular town.

All of the age groups •f orr evi ew p ur p osesresponded onl y• with 240 ‘yes’ votes.

Which two age groups voted ‘yes’?

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Statistics and chance

In Northtown, a survey was recently conducted in order to establish what type of new restaurant would be preferred in the area.

© R. I .

C.Publ i cat i ons The 0–10 age group did not participate in •f orr evi ew p ur p osesonl y• the survey.

If 224 people voted to have an Indian restaurant, what percentage of residents aged 0–80 does this equal?

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Statistics and chance Favourite pizza toppings of Mrs Browning’s class at Halls Primary School Meat Spicy 1

⁄5

What fraction of class members prefer meat pizza, and what Vegetarian © 3R. I .

C.Publ i cat i ons number of class members is ⁄8 •f orr evi ew pur p ose sonl y•to if 560 class that equivalent members were surveyed?

Cheese Other

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23

Statistics and chance Favourite pizza toppings of Mrs Milton’s class at Halls Primary School

If there are 1500 pizzas in total, how many are © R. I .

C.Publ i cat i ons vegetarian or cheese, and Spicy 160° •f or r evi ew pur pos esomany nl y•are spicy or how Cheese 30° ‘other’?

Vegetarian

Other 80°

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Statistics and chance

© R. I .

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

Does Billy have a better chance of landing on green using Spinner 1, landing on light blue using Spinner 2, or landing on red or purple using Spinner 3? What is the fraction chance for the best option?

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Statistics and chance

© R. I .

C.Publ i cat i ons •f orr evi ew pur posesonl y• Milly wants to land on orange using Spinner 1, on orange or yellow using Spinner 2, and on orange or yellow using Spinner 3. Which spinner is most likely to land on her preference? Arrange the fraction chances in order from most likely to least likely.

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25

Statistics and chance Bottles of juice sold at school canteen 200 180

Number of bottles

160

If the canteen purchased bottles of juice in crates containing 20 bottles, how © R. I .

C.Publ i cat i ons many crates of apple juice •f orr evi ew pur poseso nl y • use from February did they to June, compared to orange juice?

140 120 100 80 60 40 20 0

Apple Feb

Mar

Apr Month

May

June

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

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25

Statistics and chance Bottles of juice sold at school canteen 200 180

The canteen purchases their stock of juice in crates containing 25 bottles.

Number of bottles

160 140 120

Ifi they © R. I .

C.Publ i cat o nsordered 30 crates of orange juice •f orr evi ew pur pose sonl y • and 35 crates

100

of apple juice at the end of January, how many crates and bottles of each are left over by the beginning of July?

80 60 40 20 0

Apple Feb

Mar

Apr Month

May

June

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

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26

Statistics and chance

Websites

Katie is allowed to spend Number of minutes Katie spends on a five hours in total on the website over the weekend Internet at weekends.

Yeeha If she doesn’t use all Chatz of the five hours, she ©R .

I .

C.Publ i cat i ons Kidzfun can accumulate the •f orr e vi ew pur posesonl y• leftover time to use the News4kids following weekend. How Photoblast many minutes did she 0 10 20 30 40 50 60 70 80 90 accumulate over this Minutes weekend, if any?

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26

Statistics and chance Number of minutes Katie spends on a website over the weekend

Websites

Katie and her brother Yeeha Max are each allowed five Chatz hours of Internet usage Kidzfun per weekend. Max asked Katie to trade some of News4kids ©R .

I .

C.Publ i cat i ons her minutes because Photoblast orr evi ew pur posesonl y• he wanted more than •f 0 10 20 30 40 50 60 70 80 90 five hours. If Max uses Minutes Katie’s time to spend an additional 20 minutes on Chatz and another 30 minutes on Kidzfun, how many minutes will Katie have remaining from her five hours?

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Statistics and chance

Two paper bags have coloured cubes placed in them to be drawn out at random. Cube colour Bag 1 contains a total of 50 cubes, while Bag 2 contains 70 cubes. red

© R. I .

C.Publ i cat i ons blue The probabilities of•drawing out certain f orr evi ewap ur poseso n l y• yellow coloured cube are listed in the table.

How many of each coloured cube were placed in each bag?

orange green

Probability Bag 1 Bag 2 0.4 0.3 0.2 0.1 0.3 0.2 0.1 0.3 0 0.1

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Statistics and chance

Two paper bags have coloured cubes placed in them to be drawn out at random.

Cube colour red

© R. I .

C.Publ i cat i ons blue Which coloured cube, and from which •f o rr e vi ew pur poseso nl y• yellow bag, has the best chance of being drawn?

What is the probability, as a decimal, of selecting this cube?

orange green

Number of cubes Bag 1 Bag 2 18 16 24 8 6 24 12 8 0 24

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Statistics and chance

Exam timetable Date A.M. P.M. A.M. P.M.

Time

Unit

Venue

Mon 17 Sept 9:30–12:30

English

Room 12

Mon 17 Sept 9:30–12:00

Literature

Hall B

If Vivienne goes to the

23a ©Science R. I .

C.PRoom ubl i c t i o ns library in between school 1:30–4:00 Physics Room 8s •f orr evi ew p ur po esexams, onl y• and then goes home

Mon 17 Sept 1:00–3:30 Mon 17 Sept

Vivienne has English, Physics, Chemistry, Algebra and Geography exams.

Tues 18 Sept 8:00–10:00

Chemistry

Room 1

Tues 18 Sept 10:30–12:00

Algebra

Hall C

Tues 18 Sept 1:00–2:00

History

Room 2

Tues 18 Sept 3:00–5:30

Geography Hall D

after her last exam of the day, how many hours each day will she spend in school for her exams?

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Statistics and chance Exam timetable

A.M. P.M. A.M. P.M.

Date

Duration (hours)

Mon 17 Sept

3

Mon 17 Sept

Unit

Venue

English

Room 12

2.5

Literature

Hall B

Tues 18 Sept

2

Chemistry

Room 1

Tues 18 Sept

1.5

Algebra

Hall C

Tues 18 Sept

2.75

History

Room 2

Tues 18 Sept

2.5

Geography Hall D

Mon 17 Sept Mon 17 Sept

Vivienne has an English exam at 10 a.m., a Science exam at 1 p.m. and a History exam starting at 12:45 p.m.

R. I .

C.Pu bl i c at i ons 2.25 ©Science Room 23 Ifn itl takes •2f orr e vi ew pu r po eso y • her half an Physics Room 8s

hour to get home after an exam, what is the latest time she will be home and on which day?

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Statistics and chance

Height (cm)

Gregor’s height at 3-year intervals 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0

At which two age intervals did © R. I .

C.Publ i cat i ons Gregor’s height increase by half •f orr evi ew pur posesonl y• the amount of the previous age interval?

0 3 6 9 12 15 18 21 Age (years) R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Height (cm)

Gregor’s height at 3-year intervals 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0

Which statement is NOT true? (a) Gregor’s height © R. I .

C.Publ i cat i ons increased by 65 cm from the ages of 6–15.

•f orr evi ew pur poseson l y • (b) The greatest height increase was from ages 0–3. (c) In total, Gregor’s height increased by 1.8 m.

0 3 6 9 12 15 18 21 Age (years) R.I.C. Publications® Prim-Ed Publishing

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Statistics and chance

Leon is playing with one deck of cards. He has removed all of the number cards and left only jacks, queens and kings of each of the four © R. I .

C.Publ i cat i ons suits.

•f orr evi ew pur posesonl y•

If Leon uses only the red cards and flips over two cards in order, how many possible combinations of Card 1 and Card 2 are there?

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Statistics and chance

Leon is playing with one deck of cards.

He has removed all of the number cards and left only jacks, queens and kings of each of the four© suits.

R. I .

C.Publ i cat i ons

•f orr e vi ewand pur posesonl y• If Leon uses only the black cards flips over two cards in order, what is the probability of selecting a card from each black suit?

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Statistics and chance – Answers Card 1 Extension

Brumbi; 3300 Yes

Card 2 Extension

17 children 15 children

Jonah – unlikely Steven – likely Delilah – certain Extension Jonah – even chance Steven – even chance Delilah – unlikely

Card 7 Extension Card 8

Card 3

Card 4 Extension

Number divisible by 5 zero

Card 5 Extension

150 000 people 2 325 000 people

Card 6

3 14 5 14

Extension

Black rhinoceros and Sri Lankan elephant 10 years Rollercoasters – 551, Water slides – 783, Bumper cars – 406, Ferris wheels – 174, Bouncy castles – 58, Rock climbing walls – 522, Pendulum rides – 261, Other – 145 3600

Card 11 Extension

April and October hibernation – December and January, walking hibernation – February and March, autumn transition – October and November

Card 12

Impossible

Extension

Computer and phone – 165 minutes each

Card 14 Extension

Crisps 12:00 p.m. performance

© R. I .

C.PuExtension bl i cat i o ns Certain •f orr evi ew pu r p13 oses nl y• Card 235o minutes Extension Card 9 Extension Card 10 Extension

1 , 0.167 6 1 , 0.042 24

Nikki by 13 votes Year 5 – 32, Year 6 – 29

Card 15 Extension

1 3 1 3

Card 16 Extension

C B

Card 17 Extension

100 babies 10 more boys

Card 18

(a) even chance (b) unlikely (c) likely (d) certain (e) impossible (a) even chance (b) certain (c) unlikely (d) very unlikely (e) impossible (f) likely (g) very likely

Extension

Card 19 Extension

¥ 90 000 less, by ¥ 50 000

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Statistics and chance – Answers Card 20 Extension Card 21

6.25% (a) 1 8

Extension

Orange = 19 crates; Apple = 20 crates Orange = 14 crates and 20 bottles; Apple = 19 crates

Card 29 Extension

9–12 and 15–18 (c) In total, Gregor’s height increased by 1.8 m.

Card 30

30 combinations

Extension

18 30

Card 25

3 8

Extension

Iva;

Card 22 Extension

11–20 and 51–60 25%

Card 26 Extension

50 minutes 0 minutes

Card 23 Extension

1 ; 28 children 20

Card 27

Card 24

Landing on red or purple using 4 1 Spinner 3; 16 ( 4 )

Extension

Spinner 3 =

3 8

( 16 ),

Spinner 2 =

2 7

Bag 1 = 20 red, 10 blue, 15 yellow, 5 orange, 0 green; Bag 2 = 21 red, 7 blue, 14 yellow, 21 orange, 7 green Blue from Bag 1; 0.4 probability

( 14 ),

Spinner 1 =

1 5

2 ( 10 )

500; 1000

6 4

© R. I .

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

Extension Card 28 Extension

Monday = 6.5 hours; Tuesday = 9.5 hours 4 p.m. on Tuesday

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