Lower attainers:
1.
Extra practice calculating averages and on constructing pie charts.
Higher attainers:
Investigative activities involving averages.
1.
2.
More challenging activities on pie charts.
3.
‘Challenge Yourself’ activity on page 167. Activities A and B on page 169 may prove challenging
for some children.
4.
‘Challenge Yourself’ activity on page 170 and Activity B on page 170 will require a whole-class
discussion.
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27
1. Find the average of each of these sets of numbers.
1. Find these averages. You may use your calculator.
(a) 31, 34, 51, 61 and 78
(a) Find the average length of time spent on maths homework in your class. Calculate the
percentage of people who take less and who take more than the average time.
(b) 7, 10, 35, 67 and 81
(b) Find the average length of time you spend watching TV on a weekday and at the weekend.
(c) 25, 35, 37 and 75
Compare your average with the average spent by other children.
(d) 89, 90, 91, 98, 100 and 102
(c) Find the average number of text messages sent in your class every week. Calculate the average
(e) 263, 393 and 415
cost incurred per pupil and the total amount spent by the class.
(f) €6, €6 and €10
2. (a) The average of a list of 6 numbers is 20. If we remove one of the numbers, the average of the
2. What is the missing number in each of these.
remaining numbers is 15. What is the number that was removed?
(a) (1 + ___ + 20 +7) ÷ 4 = 11
(b) A class of 25 students took a science test. 10 students had an average of 80. The other students
(b) (3 + 7 + 5 + ___) ÷ 4 = 12
had an average of 60. What is the average score of the whole class?
(c) (10 + 10 + 10 + 2 + 3) ÷ ___ = 7
(d) (12 + 11 + 14 + ___ + 4) ÷ 5 = 10
3. 10 people were asked their favourite football team. Design a pie chart to show this
(e) (9 + ___ + 8 + 11 + 4) ÷ 5 = 8
information.
(f) (12 + 13 + 11 + 3 + ___) ÷ 5 = 12
Favourite League of Ireland Football Club
3. Fill in the table and draw the pie chart.
St Patrick’s Athletic
Cork City
Galway United
Derry City
Favourite Musical Instrument
1
3
4
2
Instrument
Piano
Guitar
Violin
Tin Whistle
Banjo
No. of Children
4
1
1
2
2
4. 24 people were asked their favourite colour. Design a pie chart to show this information.
Fraction of total
1
5
Angle
144°
36°
Purple
Green
Pink
Blue
Black
Red
White
1
3
4
1
2
12
1
4. 10 people were asked their favourite tree. Design a pie chart to show this information.
Ash
Oak
Birch
Sycamore
2
3
1
4
Name: _______________________________________
Date: ___________________
Name: _______________________________________
Date: ___________________
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162
Fractions:
Finding a unit or multiple fraction of a number; expressing 1 number as a fraction of
another number
Percentages:
Finding a percentage of a number; expressing 1 number as a percentage of another
number
Lines and Angles:
Constructing and measuring angles
2D Shapes:
Drawing a circle
SESE Geography:
Looking at pie charts for rainfall, temperature and sunshine, and trade issues (e.g.
imports and exports)
Using pie charts and graphs to represent the results of experiments
SESE Science:
English:
Using pie charts as a stimulus to oral language activities.
1.
There are many opportunities for children to calculate averages used in the home
environment, e.g. calculating average expenditure per month on groceries, average cost of
electricity or gas bill per year; average height of family members.
2.
Pie charts are often used by the print media and any examples that are encountered can be
discussed and interpreted in terms of the information displayed.