1. Frequency Trees – Relay Race
In this competitive activity students work in teams to answer questions
provided on small pieces of paper.
Students should check their answers with the teacher (who can be anywhere in the room with their answer sheet). If students are correct they can collect the next numbered sheet (easily placed in piles face-up on a desk at the front).
If students are wrong they can skip the question or be given 1 or more chances.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. Relay Race!
Frequency Trees

4. 1 2 100 3 4 300 students are in Year 9. 140 are male.
80 males take Geography.
60 females do not take Geography.
Complete the frequency tree. 2
250 students are in Year are female.
80 females take History.
60 males do not take History.
Complete the frequency tree.
take Geography
take History
male
male
do not take Geography
do not take History
take Geography
100
female
female
do not take Geography 3
120 students are in Year have a pet.
30 males have a pet.
40 females do not have a pet.
How many males are there with no pet? 4
48 students passed the maths test.
12 female students failed and 22 male
students passed. 68 students took the test.
Complete a frequency tree for this information.
CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team).
have a pet
do not have a pet

5. 5 6 7 8 24 people ate a burger and fries for lunch.
32 people ate a burger without fries.
14 people ate just fries. 84 people had lunch.
Complete a frequency tree to show this information.
How many people didn’t have a burger or fries? 6
100 students are in Year students
are in Year students in Year 7 do not
have a sibling. 64 students in year 8 have
no siblings. If you pick a random student,
what is the probability they are Year 8 with a sibling? 7
65 people in a survey holiday at home.
22 men said they holiday abroad. 28 women
said they holiday at home. 110 people were
surveyed. What is P(women who holidays abroad)? 8
48 students take art and don’t take history.
16 students take history but not art.
18 students take history and art. 42 students
don’t take art. If I pick a student at random,
what is P(doesn’t take art or history)?
CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team).

7. Teacher’s Answer Sheet

8. 1
300 students are in Year are male.
80 males take Geography.
60 females do not take Geography.
Complete the frequency tree. 2
250 students are in Year are female.
80 females take History.
60 males do not take History.
Complete the frequency tree.
take Geography 80
take History 70
140
130
male
male 60 60
do not take Geography
do not take History
take Geography
100
take History 80
female
160
female
120 60 40
do not take Geography
do not take History 3
120 students are in Year have a pet.
30 males have a pet.
40 females do not have a pet.
How many males are there with no pet? 4
48 students passed the maths test.
12 female students failed and 22 male
students passed. 68 students took the test.
Complete a frequency tree for this information. 10
male 30
male 22
CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). 70 48
have a pet
passed 40 26
female
female
male 10
male 8 50
failed 20
do not have a pet 40 12
female
female

9. 5
24 people ate a burger and fries for lunch.
32 people ate a burger without fries.
14 people ate just fries. 84 people had lunch.
Complete a frequency tree to show this information.
How many people didn’t have a burger or fries? 6
100 students are in Year students
are in Year students in Year 7 do not
have a sibling. 64 students in year 8 have
no siblings. If you pick a random student,
what is the probability they are Year 8 with a sibling?
56 220 14
fries 24
sibling 55 56
100
burger
Year 7 32 45
no fries
no sibling
fries 14
sibling 56 28
Year 8
120
no burger 14 64
no fries
no sibling 7
65 people in a survey holiday at home.
22 men said they holiday abroad. 28 women
said they holiday at home. 110 people were
surveyed. What is P(women who holidays abroad)?
23 110 8
48 students take art and don’t take history.
16 students take history but not art.
18 students take history and art. 42 students
don’t take art. If I pick a student at random,
what is P(doesn’t take art or history)?
26 108
male 37
history 18
CTRL-Left Click slides to select. Go to Print > ‘Print Selection’ and choose the amount of copies you need (one per team). 65 66
home
art 28 48
female
don’t take history
male 22
history 16
abroad 45 42
don’t take art 23 26
female
don’t take history

10. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to