NNC Year 6 Graphs and Charts
95 minutes
93 marks
Page 1 of 53
Q2.
These two graphs convert pounds (£) to Deutschmarks (Dm) and pounds (£) to dollars ($).
Use the graphs to complete the table.
number of
£
approximate
number of Dm
approximate
number of $
0
0
0
200
2 marks
Use the information in your table to draw a conversion graph for $ into Dm.
1 mark
Page 2 of 53
Q3.
Some children work out how much money two shopkeepers get from selling fruit.
They use pie charts to show this.
Mrs Binns gets £350 selling bananas.
Estimate how much she gets selling oranges.
1 mark
Mrs Binns gets a total of £1000 and Mr Adams gets a total of £800.
Estimate how much more Mrs Binns gets than Mr Adams for selling peaches.
1 mark
Page 3 of 53
Q4.
The Year 6 children in a school were asked to choose a musical instrument.
This is a pie chart of their choices.
Estimate what fraction of the children chose a drum.
1 mark
There are 80 children in Year 6.
Estimate the number of children who chose a violin.
1 mark
Explain how you decided.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
Page 4 of 53
15% of the 80 children chose a guitar.
How many children is this?
2 marks
Q5.
Jim draws a graph to show how high two rockets go during their flight.
Estimate how much higher rocket A reaches than rocket B.
metres
1 mark
Estimate the time after the start when the two rockets are at the same height.
seconds
1 mark
Page 5 of 53
Jim says,
“The graph shows that rocket A was more than 200 m above the ground for about
23 seconds.”
Explain how the graph shows this.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
Q6.
This pie chart shows the different ways that wood is used in the world.
Use the pie chart to estimate the percentage of wood that is used for paper.
%
1 mark
Page 6 of 53
54% of the wood is used for fuel.
Calculate the angle for the fuel sector on the pie chart.
Do not use an angle measurer.
You must show how you worked out your answer.
2 marks
Page 7 of 53
Q7.
80 people were asked if they owned a pet.
30 had dogs
25 had cats
10 had other pets
15 had no pets
Complete the pie chart to show this information.
2 marks
Q8.
Paul is making a pie chart of land use in Great Britain using these survey results.
Page 8 of 53
Calculate the angle of the sector for farms.
2 marks
Q9.
Kevin measures his height in inches and then in centimetres.
These are his measurements.
Page 9 of 53
The cross on the grid shows Kevin’s height in inches and centimetres.
Draw a line on the grid to make a conversion graph for inches and centimetres.
1 mark
Sally is 168cm tall.
Use the graph to estimate Sally’s height in inches.
inches
1 mark
Page 10 of 53
Q10.
The pie chart below shows the different kinds of homes in Lamton village.
Altogether there are 550 homes in Lamton.
Use an angle measurer (protractor) to help you calculate how many flats there are.
2 marks
Page 11 of 53
##
Two telephone companies, Supertalk and Quickline, have different charges for long
distance calls.
This graph shows the charges for different lengths of calls.
Estimate from the graph how many seconds longer a £2 call lasts with Supertalk compared to
Quickline.
seconds
1 mark
Estimate from the graph the length of a call when Quickline becomes cheaper to use than
Supertalk.
Give your answer to the nearest 10 seconds.
seconds
1 mark
Page 12 of 53
Q12.
This pie chart shows the lunch choices of year 6 children at a school.
28 children in year 6 have a school meal.
How many go home for lunch?
2 marks
Page 13 of 53
Q13.
Sarah makes a pie chart to show the proportion of boys and girls in her class.
Number
in class
Size of angle
on pie chart
Boys
14
144°
Girls
21
216°
The next day another boy joins Sarah's class.
She makes a new pie chart.
Calculate the angle for boys on the new pie chart.
2 marks
Page 14 of 53
Q14.
This chart gives the cost of showing advertisements on television at different times.
An advertisement lasts 25 seconds. Use the graph to estimate how much cheaper
it is to show it in the daytime compared with the evening.
£
1 mark
An advertisement was shown in the daytime and again in the evening.
The total cost was £1200
How long was the advertisement in seconds?
seconds
1 mark
Page 15 of 53
Q15.
Carol went on a 40-kilometre cycle ride.
This is a graph of how far she had gone at different times.
How many minutes did Carol take to travel the last 10 kilometres of the ride?
minutes
1 mark
Use the graph to estimate the distance travelled in the first 20 minutes of the ride.
km
1 mark
Carol says,
'I travelled further in the first hour then in the second hour'.
Explain how the graph shows this.
. ............................................................................................................................
.............................................................................................................................
.............................................................................................................................
1 mark
Page 16 of 53
Q16.
Tony and Gemma looked for snails, worms, slugs and beetles in their gardens.
They each made a pie chart of what they found.
Estimate the number of worms that Tony found.
1 mark
Who found more snails?
Circle Tony or Gemma.
Tony / Gemma
Explain how you know.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
Page 17 of 53
Q17.
This is a graph of a firework rocket, showing its height at different times.
Estimate from the graph for how many seconds the rocket is more than 20 metres above the
ground.
seconds
1 mark
Estimate from the graph how many metres the rocket falls in the last second of its flight.
m
1 mark
Page 18 of 53
Q18.
A hot liquid is left to cool in a science experiment.
This graph shows how the temperature of the liquid changes as it cools.
Read from the graph how many minutes it takes for the temperature to reach 40°C
minutes
1 mark
Read from the graph how many minutes the temperature is above 60°C
minutes
1 mark
Page 19 of 53
Q19.
150 people take part in a walk.
This chart shows the number of people still walking at different times.
Use the chart to estimate the time when two-thirds of the people are still on the walk.
1 mark
What percentage of the people who started are still on the walk at 3pm?
2 marks
Page 20 of 53
Q20.
This graph shows how the weight of a baby changed over twelve months.
From the graph, what was the weight of the baby at 10 months?
kg
1 mark
How much more did the baby weigh at 5 months than at birth?
kg
1 mark
Page 21 of 53
Q21.
The pie charts show the results of a school’s netball and football matches.
The netball team played 30 games.
The football team played 24 games.
Estimate the percentage of games that the netball team lost.
%
1 mark
David says,
‘The two teams won the same number of games’.
Is he correct?
Circle Yes or No.
Yes / No
Explain how you know.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
Page 22 of 53
Q22.
This pie chart shows how the children in Class 6 best like their potatoes cooked.
32 children took part in the survey.
Look at the four statements below.
For each statement put a tick ( ) if it is correct.
Put a cross ( ) if it is not correct.
10 children like chips best.
25% of the children like mashed potatoes best.
of the children like roast potatoes best.
12 children like jacket potatoes best.
2 marks
Page 23 of 53
Q23.
This graph shows the temperature in a greenhouse.
Use the graph to find the time when the temperature was 25°C.
1 mark
Use the graph to find the difference between the temperature at 2 pm
and the temperature at 4 pm.
degrees
1 mark
Page 24 of 53
Q24.
Class 6 did a survey of the number of trees in a country park.
This pie chart shows their results.
Estimate the fraction of trees in the survey that are oak trees.
1 mark
Page 25 of 53
The children counted 60 ash trees.
Use the pie chart to estimate the number of beech trees they counted.
1 mark
Q25.
This graph shows the height of a candle as it burns.
Look at the graph.
What is the height of the candle after 2 hours?
cm
1 mark
Page 26 of 53
How long does the candle take to burn down from 16cm to 4cm?
1 mark
Q26.
This graph shows the number of people living in a town.
Look at the graph.
How many people lived in the town in 1985?
°
1 mark
Page 27 of 53
In which year was the number of people the same as in 1950?
°
1 mark
Find the year when the number of people first went below 20 000
°
1 mark
Q27.
The London Eye is a big wheel with pods to carry passengers.
It takes 30 minutes for the wheel to make a complete turn.
This graph shows the height of a pod above the ground as the wheel turns.
Page 28 of 53
How long from the start does it take the pod to reach a height of 75 metres?
minutes
1 mark
How many metres above the ground is the pod at its highest point?
m
1 mark
Q28.
40 children predicted who would win the boys’ race at sports day.
This pie chart shows their predictions.
What percentage of the children predicted that Stefan would win?
%
1 mark
Page 29 of 53
10 children predicted the winner of the race correctly.
Who won the race?
...........................................
Explain how you know.
1 mark
Q29.
This graph shows the outside temperature from 4pm to 10pm on a day in winter.
At what time was the temperature –2°C?
1 mark
Page 30 of 53
How many degrees did the temperature drop from 5pm to 7pm?
degrees
1 mark
Q30.
Nik uses this graph to change between pounds (£), dollars and euros.
Use the graph to work out the missing numbers below.
Page 31 of 53
The first one is done for you.
£70
is about the same as
84 euros
£70
is about the same as
________dollars
120 dollars
is about the same as
£ ________
1 mark
120 euros
is about the same as
________ dollars
1 mark
Q31.
500 children started a 20 kilometre sponsored cycle ride.
This graph shows how far they cycled.
At what distance were exactly half of the children still cycling?
km
1 mark
Page 32 of 53
Estimate how many children completed the 20 kilometre cycle ride.
1 mark
Q32.
The graph shows the average heights of girls in the UK from age 6 – 11 years.
Emily is 1.38 m tall.
She is the average height for her age.
How old is she?
years old
1 mark
Page 33 of 53
Zoe is
years old.
She is also 1.38 m tall.
How much taller than average is she?
Give your answer in centimetres.
cm
1 mark
Q33.
Look at the information in these two pie charts.
Pupils in class 6K
Key:
Girls
Boys
Girls in class 6K
Key:
11 years old
Not 11 years old
Page 34 of 53
Use the informaion in the two pie charts to complete the pie chart below.
Pupils in class 6K
Key:
11 year-old girls
All other pupils in
the class
1 mark
Q34.
How fast you can type accurately is called your typing speed.
The regions of the graph show information about different typing speeds.
Page 35 of 53
Darren’s level of typing is elementary.
In 20 minutes he should be able to type between 500 and 700 words.
Jo’s level of typing is intermediate.
How many words should she be able to type in 20 minutes?
Between ...................... and ......................
1 mark
Kath’s typing speed is 30 words per minute.
What level is Kath’s typing?
Advanced
Intermediate
Elementary
Beginner
Explain how you know.
1 mark
Page 36 of 53
Q35.
How fast you can type accurately is called your typing speed.
The regions of the graph show information about different typing speeds.
Darren’s level of typing is elementary.
In 20 minutes he should be able to type between 500 and 700 words.
Jo’s level of typing is intermediate.
How many words should she be able to type in 20 minutes?
Between ...................... and ......................
1 mark
Kath’s typing speed is 30 words per minute.
What level is Kath’s typing?
Advanced
Intermediate
Elementary
Beginner
Page 37 of 53
Explain how you know.
1 mark
Page 38 of 53
M2.
(a)
Number of DM in the range 630 to 670, inclusive.
1
(b)
Number of $ in the range 270 to 280, inclusive.
1
(c)
Correct drawing of line through origin and point plotted according to
answers given in (a) and (b), eg:
To be awarded the mark, the point must be correctly plotted (within
range described below) AND the line must pass through both the
origin and the point. The point must be plotted within ± 20DM and ±
$10 of the answers given in (a) and (b)
1
[3]
M3.
(a)
Award ONE mark for an answer in the range £85 to £125, inclusive.
1
(b)
Award ONE mark for the correct answer of £50.
Accept any estimate in the range £45 to £55, inclusive.
1
[2]
M4.
(a) The answer is approximately 1/7. Accept any fraction, percentage or decimal
in the range:
•
1/9 to 1/5, inclusive
•
11% to 20%, inclusive
•
0.11 to 0.2, inclusive
1
(b)
The correct answer is 10. Accept any number in the range 8 to 12, inclusive.
1
Page 39 of 53
(c)
The explanation should make reference, in some form, to appropriate
fractional estimates, eg:
•
“Because it looks like a quarter of a half and that’s 10.”
•
“I thought the violin looked like half the trumpet and that was about a quarter.”
•
“I decided this because 1/4 was 20 children, so I halved 20 and made it 10.”
Explanations which lack specific reference to appropriate fractions
should not be awarded the mark, eg:
• “Because it’s a bit less than the trumpet.”
• “Because there are 6 parts to the pie chart.”
1
(d)
Award TWO marks for the correct answer of 12, even if there
are errors in the working.
Award ONE mark if the answer is incorrect, but there is evidence of an attempt to
calculate 15% of 80 by any method, eg:
•
15/100 × 80 = (incorrect answer given)
•
10% of 80 = 8, 5% is 4, so 15% of 80 = (incorrect answer given)
•
1% of 80 = 80/100 = 4/5, so 15% = 4/5 × 15 = (incorrect answer given)
The writing of “15/100 × 80” (or equivalent) alone is not sufficient
evidence of an attempt to calculate.
Up to 2
[5]
M5.
(a)
Any answer in the range 145m to 175m inclusive.
1
(b)
A time in the range 27 to 29 seconds inclusive.
1
Page 40 of 53
(c)
Evidence of awareness that the time interval between the points where the
200m line cuts the graph for rocket A has been used, eg:
•
“He could have checked when the rocket went above 200m and when it went under
200m and worked out the time between.”
•
“Look how high it goes until it gets to 200m then look along the horizontal line until it
drops below 200m.”
An appropriate drawing on the graph, identifying the
intersection of the 200m line with the curve is acceptable a
part of explanation, eg, award mark for:
• “Subtract the two dots” if dots are marked indicatin
correct intersections.
Do not accept vague statements or ones which only repea
information, eg:
• “You can draw the graph then draw the things then work it
out.”
• “Because on the graph the rocket is above 200m for 23
seconds.”
1
[3]
M6.
(a)
Answer in the range of 10% to 15% inclusive.
1
(b)
Award TWO marks for the correct answer of 194.4° OR 194° OR 194.5°
AND appropriate working, eg:
If the answer is incorrect, award ONE mark for evidence of appropriate
working.
Calculation need not be performed for the award of ONE
mark, but the method shown must be capable of producing the
correct answer.
Up to 2
[3]
-
Page 41 of 53
M7.
2 marks for remainder of or 2 circle correctly divided into a ‘l piece’ sector and a ‘2½ piece’
sector, and labelled ‘other pets’ and ‘cats’ respectively,
or 1 mark for remainder of circle divided into a ‘1 piece’ sector and ‘2½ piece’ sector, but not
labelled or labelled incorrectly.
[2]
M8.
Award TWO marks for the correct answer of 199.5
Accept 199 OR 200° OR unrounded values, eg 199.499
If the answer is incorrect award ONE mark for evidence of an appropriate method, eg
•
33 + 133 + 68 + 6 = 240 AND 360 ÷ 240 × 133.
The calculation need not be completed for the award of
the mark.
up to 2
[2]
M9.
(a)
Straight line drawn on the graph from the origin to the given point or beyond.
The line drawn must be straight AND connect the given point
with the origin.
Accept a straight line which misses the given point and/or the
origin by up to 1mm.
1
Page 42 of 53
(b)
Answer in the range of 65 to 67 inclusive OR answer consistent with the line
drawn on graph in 2a.
Accept answers apparently based upon calculation, provided
the answer lies within the given range.
1
[2]
M10.
Award TWO marks for an integer answer in the range 44 to 51 inclusive.
Award ONE mark for a non-integer number in the range 44 to 51
up to 2
[2]
M11.
(a)
Answer in the range 250 to 270 inclusive.
1
(b)
Answer in the range 460 to 480 inclusive.
1
[2]
M12.
Award TWO marks for the correct answer of 20
If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg
28 = 35% of year 6
4 = 5%, so 25% is 4 × 5
Calculation need not be completed for the award of the mark.
Up to 2
[2]
M13.
Award TWO marks for the correct answer of 150°
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
360 ÷ 36 = 10
15 × 10
Calculation need not be completed for the award of the mark.
Up to 2
[2]
Page 43 of 53
M14.
(a)
Answer in the range £540 to £560
1
(b)
15 seconds
1
[2]
M15.
(a)
40
1
(b)
Answer in the range 12 to 13km inclusive.
1
(c)
An explanation which indicates that after 1 hour she has travelled more
than 20km and/or she has travelled less than 20km in the second hour, eg
•
‘She did about 40 km and it was about 22 in the first hour’;
•
‘Half and half would be 20-20, but she does more than 20 then less than 20’;
•
‘It goes to 23 in the first hour’.
Do not accept vague or arbitrary explanations, eg
• ‘She got tired in the second half’;
• ‘It’s marked on the graph’;
• ‘There’s more crosses in the first hour than the second’;
• ‘The gaps are further apart’.
1
[3]
M16.
(a)
An answer in the range 21 to 26 inclusive.
No mark is awarded for an answer which is not a whole number.
1
(b)
An explanation which recognises that Tony’s snails are a quarter of 80 and that
Gemma’s snails are half of 36, so that Tony found more, eg
•
‘Tony found 20 and Gemma found only 18’;
•
‘Quarter of 80 is more than half of 36’.
No mark is awarded for circling the correct answer of ‘Tony’.
Do not accept vague or arbitrary explanations, eg
• ‘Tony found loads more’;
• ‘Gemma found more but Tony’s amount is bigger’.
Accept a correct, unambiguous explanation even if the wrong
name is circled.
1
[2]
Page 44 of 53
M17.
(a)
Answer in the range 5.9 to 6.2 seconds inclusive.
1
(b)
Answer in the range 17.5m to 18.5m inclusive.
1
[2]
M18.
(a)
Answer in the range 18 minutes to19 minutes inclusive.
1
(b)
Answer in the range 6 minutes to 7½ minutes inclusive.
1
[2]
M19.
(a)
Answer in the range 12:30pm to 1:00pm exclusive.
Accept answers with or without ‘pm’.
1
(b)
Award TWO marks for the correct answer of
% OR 26.6%
Accept 26.6% OR 26.7% OR 26.6 ... % OR 27%
Accept for ONE mark 26%
If the answer is incorrect, award ONE mark for evidence of an
appropriate method, eg
40 ÷ 150 × 100
Answer need not be obtained for the award of the mark.
Up to 2
[3]
M20.
(a)
Any value in the range 8.6 to 8.8 inclusive.
1
(b)
Any value in the range 3.2 to 3.4 inclusive.
1
[2]
Page 45 of 53
M21.
(a)
Answer in the range 30% to 36% inclusive.
1
(b)
An explanation which recognises that both teams won half their games,
but both teams played a different number of games, eg
•
Half of 30 is not the same as half of 24;
•
Because of 30 e 15 but of 24 = 12;
•
Because 15 is more than 12.
No mark is awarded for circling ‘No’ alone.
Do not accept vague or arbitrary explanation, eg
• The netball team played more games;
• Both teams won half their games;
• 30 is more than 24’.
If ‘Yes’ is circled but a correct unambiguous explanation is given,
then award the mark.
U1
[2]
M22.
Award TWO marks for boxes ticked and crossed as shown:
If the answer is incorrect, award ONE mark for any three boxes
correctly completed.
Accept alternative unambiguous indications such as Y or N.
For TWO marks, accept:
Up to 2
[2]
Page 46 of 53
M23.
(a)
Answer in the range 3:10pm to 3:20pm inclusive.
1
(b)
Answer in the range 13 degrees to 14 degrees inclusive.
The answer is a specific time (see page 5 for guidance).
1
[2]
M24.
(a)
Answer in the range
to
inclusive.
Range includes , ,
and
Accept decimals (0.1 to 0.15 inclusive) or percentages
(10% -15% inclusive).
1
(b)
Answer in the range 40 to 50 inclusive.
1
[2]
M25.
(a)
Answer in the range 7.25cm to 7.75cm inclusive.
1
(b)
Answer in the range 3 hours 40 minutes to 3 hours 50 minutes inclusive.
Answer is a time interval (see General guidance: responses
involving time for guidance)
1
[2]
M26.
(a)
25000
Accept answers in the range 24500 to 25500 inclusive.
1
(b)
1996 OR 1997 OR 1998
1
(c)
1963 OR 1964
1
[3]
Page 47 of 53
M27.
(a)
Answer in the range 7.5 minutes to 9 minutes exclusive.
Accept an answer in the range 21 minutes to 22.5 minutes
exclusive.
1
(b)
Answer in the range 130m to 140m inclusive.
1
[2]
M28.
(a)
20%
Do not accept equivalent fractions or decimals.
1
(b)
An explanation which recognises that 25% chose Jack, eg:
•
‘A quarter of the children guessed Jack and that is 10 out of 40’
•
‘10 out of 40 (
•
‘Half guessed Amir which is 20 and Jack is half of that which is 10’
•
‘10 guessed right and the pie chart shows three times as many
chose the other runners’
•
‘25% chose Jack and 25% were correct’
) were correct and the pie chart shows
chose Jack’
•
No mark is awarded for ‘Jack’ alone.
Do not accept vague or incomplete explanations, eg:
• ‘There were 40 children altogether’
• ‘Less than half chose Jack’
• ‘Because Jack is the fastest’.
If the answer to ‘Who won the race?’ is incorrect, but a correct,
unambiguous explanation is given, then award the mark.
U1
[2]
M29.
(a)
Answer in the range of 8:40pm to 8:50pm inclusive
The answer is a specific time
1
Page 48 of 53
(b)
3
Do not accept –3
1
M30.
105 ± 1
then
80 ± 1
1
150 ± 1
1
U1
[2]
M31.
(a)
16
1
(b)
A whole number in the range 180 to 190 inclusive
1
[2]
M32.
(a)
10 years old
1
(b)
3 cm
Accept answers in the range of 2.9 – 3.1 inclusive
! Change of unit, eg 0.03 m
Condone, provided cm is replaced by m
1
[2]
Page 49 of 53
M33.
Divides the pie chart into two correct sectors and shades/labels correctly, eg
•
Accept unambiguous indication of shading/labelling, eg
•
! Given key ignored
Condone incorrect shading provided their labelling is unambiguous
eg, accept
•
! Additional sectors shown
Ignore provided the sector(s) for 11 year-old girls are clearly
indicated
eg, accept
•
[1]
M34.
(a)
Gives both correct values, ie
700 (or 701) and 1000 (or 999)
(in either order)
1
Page 50 of 53
(b)
Indicates Elementary and gives a correct explanation that places the speed
clearly within the correct section on the graph, eg:
•
30 words in one minute is 300 words in ten minutes
•
30 wpm = 900 words in 30 minutes
•
Darren is between 25 and 35 words per minute so she is the same as Darren
Accept minimally acceptable explanation, eg:
•
300 every 10
•
Point equivalent to 30 words per minute
(eg 300 words in 10 minutes) clearly indicated on the graph
•
25-35, same as Darren
•
20 × 30 = 600
! Small number of minutes used, where regions are closer together
Accept points equivalent to 30 words per minute where the number
of minutes is 2.5 or greater
eg, accept
•
30 words in one minute is 75 words in
minutes
eg, do not accept
•
I looked at 1 minute on the graph and found where 30 words
is on the graph
Do not accept incomplete explanation, eg:
•
I read up from 10 minutes
•
Between 25 and 30 words per minute
•
Same as Darren
1
U1
[2]
M35.
(a)
Gives both correct values, ie
700 (or 701) and 1000 (or 999)
(in either order)
1
Page 51 of 53
(b)
Indicates Elementary and gives a correct explanation that places the speed
clearly within the correct section on the graph, eg:
•
30 words in one minute is 300 words in ten minutes
•
30 wpm = 900 words in 30 minutes
•
Darren is between 25 and 35 words per minute so she is the same as Darren
Accept minimally acceptable explanation, eg:
•
300 every 10
•
Point equivalent to 30 words per minute
(eg 300 words in 10 minutes) clearly indicated on the graph
•
25-35, same as Darren
•
20 × 30 = 600
! Small number of minutes used, where regions are closer together
Accept points equivalent to 30 words per minute where the number
of minutes is 2.5 or greater
eg, accept
•
30 words in one minute is 75 words in
minutes
eg, do not accept
•
I looked at 1 minute on the graph and found where 30 words
is on the graph
Do not accept incomplete explanation, eg:
•
I read up from 10 minutes
•
Between 25 and 30 words per minute
•
Same as Darren
1
U1
[2]
Page 52 of 53
Page 53 of 53