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Step 1 Answers

Introduction

What is each increment worth on these scales?

0 2 4 6 8 10 12 14 16 18 20

0 10 20 30 40 50 60 70 80 90 100

0 5 10 15 20 25 30 35 40 45 50

0 4 8 12 16 20 24 28 32 36 40

© Classroom Secrets Limited 2019

Varied Fluency 1

Look at this pictogram.

Fill in the blanks in the table.


< £5 £6 – £10 £11 – £15 £16 – £20

15 15 10 5

Pocket Money

< £5 £6 - £10 £11 - £15 £16 - £20

each image = 5 children

Varied Fluency 2

Think of one question to ask about the information in this tally chart:

Various answers, for example:

How many people stayed in the UK for their holiday?

Which is the least popular destination?

How many people were asked in total?

How many more people stayed in the UK than travelled to Europe?

Holiday Destinations

UK

Europe

Rest of the

World


Varied Fluency 3

Use the information in the table to create a bar chart.

Silver 35

Red 40

Blue 55

Colour of Cars Passing the School

Discuss which

scale to use:

1s, 2s, 5s, 10s,

20s

How will you

show 35? 55?Silver Red Blue


Varied Fluency 3

Use the information in the table to create a bar chart.

Silver 35

Red 40

Blue 55

Colour of Cars Passing the School

60

40

20

0

Nu

mb

er

of

Ca

rs

Colour

Silver Red Blue


Varied Fluency 4

Use the bar chart to answer the questions.

Mon Tues Wed Thurs Fri

60

45

30

15

0

Cake Sales How many cakes

were sold on

Monday? 45

What is the most

cakes sold in one

day? 60 on

Wednesday

On which day

were the least

amount of cakes

sold? Tuesday

and Thursday


Reasoning 1

The school kitchen are collecting ideas for recipes by asking the

children their favourite food.

Who do you agree with and why?

Hakeem has the best idea because…

I want to use a pictogram to

draw each meal.

I think a choice of 4 meals and

a bar chart would work best.

Jayden

Hakeem


Reasoning 1

The school kitchen are collecting ideas for recipes by asking the

children their favourite food.

Who do you agree with and why?

Hakeem has the best idea; it will be quick and simple to collect the

data and make people’s decision making much easier.

I want to use a pictogram to

draw each meal.

I think a choice of 4 meals and

a bar chart would work best.

Jayden

Hakeem


Reasoning 2

True or false?

Explain your answer.

False, the lines are called the y-axis and the x-axis

(or axes).

The lines on a

chart are called

axels.


Problem Solving 1

Mr Thompson says this tally chart is not easy to interpret.

Find 2 ways in which you could make the chart easier to interpret.

The tally should be 5 strokes so counting is easier.

The options could be broken into smaller steps e.g. 90cm to 1m, 1m

to 1.5m, 1.5 to 2m as the data is not very useful with such a large

range.

Height of Pupils in Oak Class

< 1 metre

> 1 metre


Step 2 Answers

Introduction

A full circle represents 20 children.

Three quarters of a circle represents 15 children.

Half of a circle represents 10 children.

A quarter of a circle represents 5 children.


Varied Fluency 1

Use the table to calculate the number of tickets bought altogether.

200

Sort the films in order from the most to least popular.

The Great Adventure, Attack of the Robots, True Love, Frostbite

Monday’s Cinema Ticket Sales

Film Tickets

Attack of the Robots 60

Frostbite 30

True Love 40

The Great Adventure 70


Varied Fluency 2

Complete the sentences below.

On average, Tom drinks 20 ml more water than Ali.

Jess drinks 20 ml less water than Fay.


80

60

40

20m

l

Average Water Intake During PE

Tom Jess Ali Fay

Varied Fluency 3

Calculate the difference between the

number of pears and apples grown.

10

Which two fruits total 55?

Oranges and apples

Fruits Grown at Farley Farm Each Year

Strawberries Pears Oranges Apples

= 10 fruits



Reasoning 1

Kate says,

Is she correct? Convince me.

Kate is not correct because…

There were 20 more votes

for consoles than phones.

0 20 40 60 80 100 120

KS2’s Favourite Gadgets

Laptop

Console

Tablet

Phone


Reasoning 1

Kate says,

Is she correct? Convince me.

Kate is not correct because there were 90 votes for consoles and 80

votes for phones, so there were 10 more votes for consoles than phones.

There were 20 more votes

for consoles than phones.

0 20 40 60 80 100 120

KS2’s Favourite Gadgets

Laptop

Console

Tablet

Phone

Reasoning 2

Circle the odd one out of A, B and C.

A. 250 people voted for their favourite treats.

B. Crisps received the highest number of votes.

C. 60 people voted for sweets.

Explain your reasoning.

A is the odd one out because…


Favourite Treats Votes

Chocolate 80

Sweets 60

Biscuits 30

Crisps 90

Reasoning 2

Circle the odd one out of A, B and C.

A. 250 people voted for their favourite treats.

B. Crisps received the highest number of votes.

C. 60 people voted for sweets.

Explain your reasoning.

A is the odd one out because it is incorrect. 260 people voted for their favourite treats.


Favourite Treats Votes

Chocolate 80

Sweets 60

Biscuits 30

Crisps 90

Problem Solving 1

Fill in the missing data.

There were more donkeys than llamas, but fewer donkeys than

goats.

There were 20 more ponies than llamas.


Animals at the Petting Zoo

Ponies Llamas Donkeys Goats

= 10 animals

Step 3 Answers

Introduction

Which of the following can be represented on a line graph?

The temperature throughout

the day

Your classmates’ birthdays

The height of a plane

throughout a flight

How much money an ice

cream stall makes in a week

Your favourite books


Varied Fluency 1

What is missing?

Use the checklist to make sure the line graph has all these items:

✓ Title ✓ ScalesAxis Labels

9am 11am 1pm 3pm

Traffic Survey10

8

6

4

2

0

Nu

mb

er

of

Ca

rs

Time


Varied Fluency 2

Use the line graph to fill in the gaps.

At 10 years, the oak tree measured 1 m.

The quickest growth was between age 20 and 30 .


0

1

2

3

4

5

0 10 20 30 40

Circ

um

fere

nc

e (

m)

Age in Years

Circumference of Oak Tree Trunk

Varied Fluency 3

Use the data to complete the line graph.

Minutes 2 4 6 8 10

Temperature 40o 70o 70o 90o 110o


0

10

20

30

40

50

60

70

80

90

100

110

0 2 4 6 8 10

Tem

pe

ratu

re in

oC

Time in Minutes

Temperature of an Oven

Reasoning 1

A vet says that Paulina’s dog is too heavy and needs to lose weight.

Paulina makes a line graph to show her dog’s weight loss over a

month. Is it correct? Explain your answer.

The line graph is not correct because ...


0

10

20

30

40

Week 1 Week 2 Week 3 Week 4

We

igh

t (k

g)

Time

Weight of Dog

Reasoning 1

A vet says that Paulina’s dog is too heavy and needs to lose weight.

Paulina makes a line graph to show her dog’s weight loss over a

month. Is it correct? Explain your answer.

The line graph is not correct because a dog cannot weigh 0kg.


0

10

20

30

40

Week 1 Week 2 Week 3 Week 4

We

igh

t (k

g)

Time

Weight of Dog


Reasoning 2

Explain who is correct.

Hajra is correct because …

Height of a Gymnast’s Head in Cartwheel

Hajra

Ibrahim

After 50 seconds her head

was at its lowest point.

The gymnast had finished

in 1 second.

0102030405060708090

100110120

0 25 50 75 100

He

igh

t (c

m)

Hundredths of a Second


Reasoning 2

Explain who is correct.

Hajra is correct because she has seen that the gymnast’s head has

returned to its full height after 100 hundredths of a second (which is

one full second).

Ibrahim has mistaken 50 hundredths of a second for 50 seconds.

Height of a Gymnast’s Head in Cartwheel

Hajra

Ibrahim

After 50 seconds her head

was at its lowest point.

The gymnast had finished

in 1 second.

0102030405060708090

100110120

0 25 50 75 100

He

igh

t (c

m)

Hundredths of a Second

Problem Solving 1

The graph below tracks the flight of two birds. One shows a bird

beginning a flight and the other is already in flight.

Which line below shows the bird beginning its flight?

The blue line shows the correct data for this scenario. It shows an

increase in speed between 0 and 3 minutes which is then

maintained as the bird continues flying.


0

1

2

3

4

5

6

7

8

9

0 3 6 9 12 15

Sp

ee

d (

mile

s p

er

ho

ur)

Minutes

Step 4 Answers


Introduction

Write three questions about this line graph.

Example answers:

1. What time was the hottest temperature recorded?

2. What was the temperature at 11am?3. What was the lowest temperature in the afternoon?

10

12

14

16

18

20

22

24

11am 12pm 1pm 2pm 3pm 4pm

Time

Temperature in our ClassroomTe

mp

era

ture

(˚C

)


Varied Fluency 1

How many centimetres did the parachute drop between

4 and 8 seconds?

40 centimetres.

130

140

150

160

170

180

190

200

0 2 4 6 8

He

igh

t (c

m)

Time (seconds)

Flight of a Toy Parachute


Varied Fluency 2

True or false?

The temperature at 90 seconds was half what it was at 120.

True

0102030405060708090

100110

0 30 60 90 120 150

Tem

pe

ratu

re (

oC

)

Time (seconds)

Temperature of Water in a Heated Pan

30oC

60oC


Varied Fluency 3

How many kilometres did the rocket travel

between 90 and 120 seconds?

10km 35km 5km 15km

0

10

20

30

40

50

0 30 60 90 120 150

He

igh

t (k

m)

Time (seconds)

Height of Rocket When Launched


Reasoning 1

Sam is talking about the line graph below.

Is Sam correct? Explain why.

Sam is not correct because…

0

20

40

60

80

0 10 20 30

Tem

pe

ratu

re (

°C)

Time (minutes)

Temperature of a Radiator Once Switched Off

The difference between 10 and 30

minutes is 25°C.


Reasoning 1

Sam is talking about the line graph below.

Is Sam correct? Explain why.

Sam is not correct because at 10 minutes it was 50°C and at 30

minutes it is 20°C. 50 – 20 = 30°C.

0

20

40

60

80

0 10 20 30

Tem

pe

ratu

re (

°C)

Time (minutes)

Temperature of a Radiator Once Switched Off

The difference between 10 and 30

minutes is 25°C.


Problem Solving 1

Use the graph to complete the sentence.

Between _______and _______, the difference in the number of litres used

is 20 litres.

Find all the possible answers.

0km – 200km; 100km – 300km; 200km – 400km; 300km – 500km

0

10

20

30

40

50

60

0 100 200 300 400 500

Pe

tro

l u

sed

(L)

Kilometres

Amount of Petrol Used


Reasoning 2

In which year is it most likely that a disease struck the tree?


Year 2 is the most likely because…

90100110120130140150160170180190

1 2 3 4 5 6 7

Len

gth

(c

m)

Number of Years

Height of an Apple Tree


Reasoning 2

In which year is it most likely that a disease struck the tree?


Year 2 is the most likely because the tree stops growing as rapidly as

the other years.

Year 6 also sees a decline in growth, but still grows faster than in year

2.

90100110120130140150160170180190

1 2 3 4 5 6 7

Len

gth

(c

m)

Number of Years

Height of an Apple Tree

step 1 answers - boxgrove.greenwich.sch.uk › assets › ... · find 2 ways in which you could...

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