Q1.
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 1 of 34
Q2.
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
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 2 of 34
Q3.
Paul is making a pie chart of land use in Great Britain using these survey results.
Calculate the angle of the sector for farms.
2 marks
Q4.
Kevin measures his height in inches and then in centimetres.
These are his measurements.
Page 3 of 34
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 4 of 34
Q5.
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 5 of 34
##
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 6 of 34
Q7.
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 7 of 34
Q8.
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 8 of 34
Q9.
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 9 of 34
Q10.
The diagram shows 6 shaded squares.
K is the point (20, 10)
What are the coordinates of L and M?
L is
1 mark
M is
1 mark
Page 10 of 34
Q11.
The diagram shows the graph of y = x − 7
Write the coordinates of one point on the line between A and B.
(
,
)
1 mark
Page 11 of 34
Q12.
P stands for a multiple of 3
Q stands for a different multiple of 3
Tick ( ) each statement according to whether it is always true, sometimes true
or never true.
always
true
sometimes
true
never
true
The sum of P and Q
is a multiple of 6
The difference
between P and Q is a
multiple of 3
The product of P and Q
is a multiple of 9
2 marks
Q13.
This is a graph of a firework rocket, showing its height at different times.
Page 12 of 34
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
Q14.
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
Page 13 of 34
What percentage of the people who started are still on the walk at 3pm?
2 marks
Q15.
Here are two pieces of information about dogs called German Shepherds.
The average mass of an adult German Shepherd is about 35 kg.
Page 14 of 34
Use both pieces of information to summarise how German Shepherd dogs grow.
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
2 marks
Q16.
Nik uses this graph to change between pounds (£), dollars and euros.
Use the graph to work out the missing numbers below.
Page 15 of 34
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
Q17.
Here are three scatter diagrams, labelled A, B and C.
Scatter diagram A
Scatter diagram B
Page 16 of 34
Scatter diagram C
Kemi writes:
Scatter diagram A shows that .......the more televisions a person has in........
their home the more hours they spend watching television..........................
.................................................................................................................................
Now complete the sentences below.
Scatter diagram B shows that........................................................................
.......................................................................................................................
.......................................................................................................................
1 mark
Scatter diagram C shows that........................................................................
.......................................................................................................................
.......................................................................................................................
1 mark
Page 17 of 34
Q18.
Archery is an Olympic sport.
In 2008, two archers called Park and Zhang were in the women’s final.
Both archers shot 12 arrows.
Zhang won the final by 1 point.
Complete the table for Zhang below.
You can use the space to show your calculations.
2 marks
Page 18 of 34
Q19.
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
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
Page 19 of 34
Q20.
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 20 of 34
Explain how you know.
1 mark
Q21.
Alfie asks some boys and girls about their favourite hobby.
He shows the results on a graph.
The graph shows that 44% of boys chose sport.
Estimate the percentage of girls who chose sport.
1 mark
Page 21 of 34
120 boys chose reading.
Estimate the number of boys who chose cinema.
1 mark
Q22.
Here are three scatter graphs showing the heights of people and the cost of clothes.
Chen says,
‘The taller you are, the more your clothes cost.’
Megan says,
‘The shorter you are, the more your clothes cost.’
Alfie says,
‘There is no relationship between your height and what
your clothes cost.’
Write the letter of each scatter graph that shows what each person says.
Chen...................... Megan ...................... Alfie ......................
1 mark
Page 22 of 34
M1.
(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]
M2.
(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 23 of 34
M3.
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]
M4.
(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
(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]
M5.
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]
Page 24 of 34
M6.
(a)
Answer in the range 250 to 270 inclusive.
1
(b)
Answer in the range 460 to 480 inclusive.
1
[2]
M7.
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]
M8.
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]
M9.
(a)
Answer in the range £540 to £560
1
(b)
15 seconds
1
[2]
Page 25 of 34
M10.
(a)
L is (30, –20)
Coordinates must be in the correct order.
1
(b)
M is (–10, 0)
Accept answers on the diagram, with or without
commas or brackets.
1
[2]
M11.
Any pair of coordinates for the graph y = x –7 that lie between
(0, –7) and (7, 0), eg
(1, –6) OR (2, –5) OR
(3, –4) OR (4, –3) OR
(5, –2) OR (6, –1) OR (3½, –3½) etc.
Accept decimals and fractions provided they are correct
for the graph y = x –7
Coordinates must be written in the correct order.
[1]
M12.
Award TWO marks for the table completed correctly as shown:
If the answer is incorrect, award ONE mark for two out of three ticks
correctly placed.
Accept alternative indications, eg crosses in the table.
Do not accept any row that has ticks in more than one column.
Up to 2
[2]
Page 26 of 34
M13.
(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]
M14.
(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]
Page 27 of 34
M15.
Describes the key features of the information
2 marks are available, one from each of the categories
A and B below:
Category A
States that the rate the mass of the dog increases slows as it gets older, eg
•
They get heavier in their first few months but as they get older their weight doesn’t go up as
much
1
Category B
Makes an observation that links the information in the bar chart to the adult mass, eg
•
It reaches adult size after the first year
•
A dog is about half grown when it is 4 months old
1
Accept minimally acceptable explanation
eg, for category A
•
Grows quickly then more slowly
•
After a few months the amount it increases by gets smaller
[accept any value from 4 – 8 months inclusive within this type of
response]
•
They start by gaining about 5 kg per month but this gets less
and less
eg, for category B
•
Doesn’t get any fatter after it is a year old
•
They stop at 12 months
•
At 6 months, it’s more than half-sized
eg, for both categories (ie 2 marks)
•
It grows quickly then slowly until 12 months when it stops
! Values given
As this question is assessing understanding of information
presented graphically, condone incorrect numbers for category A,
but do not accept for category B
eg, for category A, accept
•
They increase by about 10 kg per month but not as much as
they get older
eg, for category B, do not accept
•
A dog is about half grown after half a year
Do not accept incomplete explanation
eg, for category A
•
Dogs get heavier as they get older [doesn’t say how rate of
change alters]
eg, for category B
•
A German Shepherd stops growing when it reaches 35 kg [no
link to 12 months]
•
It grows quickly then slowly until 12 months [gains category A
mark but no link to full weight being reached for category B]
[2]
Page 28 of 34
M16.
105 ± 1
then
80 ± 1
1
150 ± 1
1
U1
[2]
M17.
Gives a correct description for B that shows or implies the link between the two
variables
eg
•
The more computers a person has in their home, the fewer hours they
are likely to spend watching television
•
There is negative correlation between the number of hours watched and
the number of computers in the home
•
If you have lots of computers you don’t tend to watch TV much
Accept minimally acceptable description
eg
• More computers, less watching
• Fewer computers, more TV
• More television, less computers
• LessTV, more computers
• Negative correlation
! Number of hours watching interpreted incorrectly as number of
televisions
Condone
eg, for the first mark accept
• The more computers people have, the fewer TVs they have
Do not accept incomplete description
eg
• If you have one computer you watch more TV
1
Page 29 of 34
Gives a correct description for C that states or implies that the two variables
are not linked
eg
•
How much television a person watches is independent of the number
of mobile phones they have
•
There is no correlation between the number of hours watched and
the number of phones
•
Time watching is not dependent on the amount of mobiles
•
People with lots of mobile phones don’t necessarily watch any more
than those with just one
Accept minimally acceptable description
eg
•
Mobiles don’t affect watching
•
No correlation
•
Not connected
•
No relationship
•
No link
•
No pattern
•
It’s random
•
More or less phones won’t affect hours
•
Number of mobiles doesn’t affect the situation
•
Someone watching 1 hour of TV might have as many
mobiles as someone who watches 8 hours [generality implied]
•
How much is watched depends on the person not on their
mobile phones
Do not accept incomplete description
eg
• There is a range of numbers of mobile phones and the number
of hours spent watching TV
• It doesn’t make much difference
! Description of graph’s appearance
Accept alongside a correct response
eg, for C accept
•
It’s all spread out so there is no link
eg, for C do not accept
•
It’s all spread out
1
[2]
M18.
Completes the table for Zhang correctly with frequencies of 7 (for 9 points) and
4 (for 10 points), ie
7
4
2
U1
Page 30 of 34
or
Shows one of the values 109, 110, 102 or 103
OR
Shows a correct method for Zhang that scores one more than the total for Park.
! For 1m, a total that uses less than 12 arrows for Zhang
Condone
! For 1m, accept a follow through for their incorrect total for Park
1
[2]
M19.
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
•
Page 31 of 34
! Additional sectors shown
Ignore provided the sector(s) for 11 year-old girls are clearly
indicated
eg, accept
•
[1]
M20.
(a)
Gives both correct values, ie
700 (or 701) and 1000 (or 999)
(in either order)
1
(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
Page 32 of 34
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]
M21.
(a)
Gives an answer in the range 25 to 29 inclusive
1
(b)
Gives an answer in the range 44 to 52 inclusive
1
[2]
M22.
Identifies all three graphs correctly, ie:
•
Chen A
Megan C
Alfie B
Accept unambiguous indications of the correct
graph for each person, eg:
• Names written on scatter graphs
[1]
Page 33 of 34
Page 34 of 34