Web viewCharts-Exam Questions. Q1. Mike asked 60 students to name their favourite fruit. Here are his results. Draw an accurate pie chart for his results

Charts - Exam Questions

Q1.

Mike asked 60 students to name their favourite fruit.

Here are his results.

Draw an accurate pie chart for his results.

(Total for Question is 4 marks)


Q2.

* Mrs Jones recorded the number of boys and the number of girls absent from school each day last week.

The table shows this information.

Mrs Jones wants to compare this information.

On the grid draw a suitable diagram or chart.



Q3.

Helen went on 35 flights in a hot air balloon last year.

The table gives some information about the length of time, t minutes, of each flight.

On the grid below, draw a frequency polygon for this information.



Q4.

Here is a pictogram.It shows the number of goals scored by Azeem, by Brad and by Chris.

(a) Write down the number of goals scored by Brad.

..............................................................................................................................................(1)

(b) Write down the number of goals scored by Chris.

..............................................................................................................................................(1)

Dean scored 6 goals.

(c) Show this information on the pictogram.

(1)(Total for Question is 3 marks)


Q5.

Shannon asked some students how they travelled to school.She drew this bar chart to show the results.

Shannon asked some students how they travelled to school.She drew this bar chart to show the results.

(a) Which method of travel was used most by the students?

..............................................................................................................................................(1)

More students walked to school than cycled to school.

(b) How many more?

..............................................................................................................................................(1)

(c) Work out the number of students Shannon asked.

..............................................................................................................................................(2)



Q6.

Hestia rolls a dice 24 times.Here are the scores.

1 2 3 6 4 5 2 1

3 5 6 2 1 2 6 42 3 2 4 3 4 3 2

(a) Complete the frequency table.

Score Tally Frequency

123456

(2)

(b) Write down the mode of the scores.

..............................................................................................................................................(1)

(c) Hestia wants to show this information in a suitable diagram or chart.On the grid, draw a suitable diagram or chart.



Q7.

The pictogram shows the numbers of parcels delivered to some houses on Monday, Tuesday and Wednesday.

(a) Write down the number of parcels delivered on Tuesday.

..............................................................................................................................................(1)

(b) Write down the number of parcels delivered on Wednesday.

..............................................................................................................................................(1)

24 parcels were delivered on Thursday.18 parcels were delivered on Friday.

(c) Use this information to complete the pictogram.



Q8.

This pictogram gives information about the numbers of bunches of roses Graham sold on Monday, on Tuesday and on Wednesday.

(a) Write down the number of bunches of roses Graham sold on Monday.

(1)(b) Write down the number of bunches of roses Graham sold on Tuesday.

(1)On Thursday Graham sold 6 more bunches of roses than he sold on Wednesday.

(c) Complete the pictogram for Thursday.



Q9.

There are only yellow pencils, red pencils, green pencils and blue pencils in a box.The pie chart gives information about the numbers of pencils of each colour.

(a) What fraction of the total number of pencils in the box is red?

...........................................................

(1)

In the pie chart, the angle used for yellow is twice the angle used for green.(b) Write down an expression, in terms of x, for the angle used for yellow.

...........................................................

(1)

There are 48 pencils in the box.

(c) Work out the number of blue pencils in the box.

...........................................................



Q10.

Alex asked some people to name their favourite football team.

The pie chart shows his results.

(a) What fraction of the people named Rovers as their favourite team? ..............................................................................................................................................

(1)

20 people named City as their favourite football team.

(b) How many people named Rovers as their favourite team?

..............................................................................................................................................(4)



Q11.

The pie charts show some information about the numbers of matches won, drawn and lost by a cricket team and by a hockey team last year.

The cricket team won 15 matches.

(a) How many matches did the cricket team lose?

..............................................................................................................................................(2)

(b) Which team won the most matches last year?

Tick one box to show your answer.

Cricket Hockey Not enough information

Explain your answer.

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. ..............................................................................................................................................



Q12.

A group of Year 10 students was asked to choose a new subject to study.

The table shows information about the choices.

Subject Number of students

construction 40hairdressing 56tourism 24

(a) Draw an accurate pie chart to show this information.

(3)


A group of Year 11 students was also asked to choose a new subject to study.

This pie chart shows information about their choices.

Danny says

"The pie charts show that hairdressing was chosen by more Year 11 students than by Year 10 students."

(b) Is Danny correct? . . . . . . . . . . . . . . . . . . . . . .

You must explain your answer.

.............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. ..............................................................................................................................................



Q13.A survey was carried out for a magazine.90 cat owners were asked to write down the make of cat food their cats liked best.

The bar chart shows information about the results.

This statement was in the magazine: '1 out of 6 cats like Coolkat best'.

(a) Is the statement right?You must explain your answer.

.............................................................................................................................................

............................................................................................................................................. (1)The information in the bar chart is going to be shown in a pie chart.

(b) Use the information in the bar chart to complete the pie chart.



Q14.

The pie chart shows information about how the students in Year 11 get to school.

Diagram NOT accurately drawn

Mr Morley says, "Less than 10% of students in Year 11 get to school by car".

(a) Is Mr Morley correct? You must explain your answer.

.............................................................................................................................................

.............................................................................................................................................

.............................................................................................................................................

(2)50 students in Year 11 cycle to school.

(b) How many students in Year 11 walk to school?

...........................................................(3)



Mark Scheme

Q1.

Question Working Answer Mark Notes360 ÷ 60 Apple = 18 × 6 = 108 Banana = 23 × 6 = 138 Orange = 9 × 6 = 54 Pear = 10 × 6 = 60

108, 138, 54, 60

4 M1 for evidence of method for at least one angle (could be implied by one correct angle on pie chart or working or in table) A2 for all angles drawn correctly (±2°) (A1 for at least one angle drawn correctly or all angles correct in the table) B1 for sectors labelled with fruit names (dependent on at least one angle drawn correctly and exactly 4 sectors)

Q2.

Working Answer Mark Notes

* Appropriate diagram or

chart

4 B1 for a key or suitable labels to identify boys and girls. The key may be ignored if unclear provided the graph is clear, i.e if


different colours or shading is used on the graph. B1 for five correct labels for days clearly shown in appropriate places B1 for diagram(s) or chart(s) (combined or separate) set up for comparison, showing data for at least three days e.g. dual bar chart, back to back stem and leaf, pie charts, pictograms etc. C1 for fully correct diagram or chart to include all axes labelled (or appropriate keys)

Q3.

Working Answer Mark Notes

Points plotted at (5, 6), (15,

9), (25, 8), (35,

7), (45,5) and

joined with line

segments

2 B2 for correct plotting of 5 points and joining with line segments (B1 for points plotted correctly at midpoints of


intervals OR joining points with line segments at the correct heights and consistent within the class interval (including end values) OR correct frequency polygon with one point incorrect OR correct frequency polygon with first and last point joined) NB Ignore any histogram drawn and any part of frequency polygon outside range of first and last points plotted

Q4.

Q5.

Question Working Answer Mark Notes

(a) (b) (c)

4 + 6 + 9 + 5 +1 = 25

Walk 5 25 1 1 2 B1 cao B1 cao M1 for adding the frequencies


4,6,9,5,1 or adding 5 frequencies allow one misread error Ie 4+6+9+6+1 A1 cao


Q6.


(a)

(b) (c)

3, 7, 5, 4, 2, 3

2 Diagram or chart

2

1 3

M1 for at least one correct frequency or tally A1 for 3, 7, 5, 4, 2, 3 cao (B2 for correct frequencies without the use of tallies) B1 for 2 or ft from their frequency table M1 (ft from their frequency table) for a diagram or chart, e.g. bar chart, stick graph, pictogram, pie chart, showing correct data for at least 3 scores M1 (indep) for correct scale and label on vertical axis or fully correct labelling on horizontal axis or a suitable key A1 (ft from their frequency table) for fully correct diagram or chart (to include all axes labelled)


Q7.

Q8.


(a) (b) (c) Wed = 12 Thurs = 12 + 6 = 18 or 6 more = 3 extra circles

24 6 1 1 2 B1 for 24 B1 for 6 M1 for identifies 6 bunches as 3 circles or '12' + 6 or gives an answer of 9 circles A1 for 9 circles in two clusters of 4 and an additional circle

Q9.


Q10.


(a) (b)

90⁄360 360 – (42 + 90 + 108) = 360 – 240 = 120 Followed by 120 ÷ 20 = 6° /person 90 ÷6 OR90⁄120 = ¾ ¾ of 20 OR 120 = 1⁄3 of the whole Total number = 20×3=60 ¼ of 60

¼ 15 1 4

B1 for ¼ oe or 25% or 0.25 or quarter M1 for 360 – (42 + 90 + 108) A1 for 120 M1 for 90 ÷ ("120" ÷ 20) A1 cao or M1 for 360 – (42 + 90 + 108) A1 for 120 M1 for ¾ of 20 A1 cao or M1 for 360 - (42+90+108) A1 for 120 M1 ¼ of 60 A1 cao

Q11.

Q12.


(a) construction = 120° hairdressing = 168°

120° 168° 72°

3 M1 for correct working to find an angle


(b)

tourism = 72°

explanation 1

(could be implied by one angle drawn correctly on the pie chart. A1 all three angles drawn ±2° B1 (dep on M1) correct labels NB: stating the angles is not labels B1 ft reason given eg NO and "we don't know the actual figures", "there could be less Y10 students", or refers to the fact that the totals for the pie charts (or the sample groups) could be different NB: YES could also be justified.


Q13.


(a)

(b)

Top Cat = 35 × 4 = 140° Katkins = 30 × 4 = 120° Coolkat = 15 × 4 = 60°

Yes with valid reason

Pie chart

1

3

C1 for Yes with it can be cancelled to 1 in 6 oe, eg 15 out of 90 is the same as 1 out of 6 or 90 ÷ 6 = 15 or No with as this survey only has 90 cats oe or Can't tell with we do not know how many cats in the survey M1 for 360 ÷ 90 or 4 seen or one angle (TC or Ka or Co) correct in pie chart ± 2° ignore labels, or one correct angle calculated A1 for any two angles (TC or Ka or Co) correct in pie chart. ± 2° ignore labels A1 for fully correct and labelled pie chart. All angles ±2º

Q14.


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Web viewCharts-Exam Questions. Q1. Mike asked 60 students to name their favourite fruit. Here are his results. Draw an accurate pie chart for his results