Frequency Trees: Foundation Tier Practice - Worksheets, Questions and Revision

10 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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3.19F Frequency Trees: Foundation Tier Practice

EDEXCEL 1MA1 · Calculator allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A school club has 60 pupils. 40 are in the drama group and 20 are not. A frequency tree starts with two branches: Drama and Not drama.
Write down the frequencies for the two branches at the first level of the tree.
(Total for Question 1 is 1 mark)
2
A frequency tree shows that of the 40 pupils in drama, 10 are in year 7 and 30 are in year 8.
Work out the probability that a pupil chosen at random is in drama and in year 7.
(Total for Question 2 is 2 marks)
3
Complete this step in a frequency tree. There are 60 people. 25 are female and 35 are male. Of the 25 females, 15 like football and 10 do not.
Write down the frequency for females who like football and the probability of picking a female who likes football.
(Total for Question 3 is 2 marks)
4
A frequency tree for 80 shoppers starts with two branches: Card payments (50 shoppers) and Cash payments (30 shoppers). Of the card payments, 20 used contactless and 30 used chip and PIN.
Work out the probability that a shopper chosen at random used contactless.
(Total for Question 4 is 3 marks)
5
A frequency tree shows the following for 120 people: First branch: Owns a bicycle 72, Does not own a bicycle 48. Of those who own a bicycle, 54 wear helmets and the rest do not.
Work out the probability that a person chosen at random does not wear a helmet.
(Total for Question 5 is 3 marks)
6
A class of 50 pupils is divided into two groups for a project: Group X has 20 pupils, Group Y has 30 pupils. A frequency tree shows for Group X: 12 completed on time and 8 did not. For Group Y: 21 completed on time and 9 did not.
(a) Complete the tree frequencies. (b) Work out the probability that a pupil chosen at random did not complete on time.
(a)Complete the missing frequencies on the tree (list the four end frequencies).(1)
(b)Work out the probability that a pupil chosen at random did not complete on time.(3)
(Total for Question 6 is 4 marks)
7
A survey of 200 people produced this partial frequency tree.
First split: Owns a tablet 120, Does not own a tablet 80.
Under Owns a tablet, the split is: Uses it for study 72 and Uses it for games 48.
Under Does not own a tablet, the split is: Uses library 32 and Does not use library 48.
(a) Complete the tree frequencies for all four final branches. (b) Work out the probability that a randomly chosen person uses a tablet for study or uses the library.
(a)List the four end frequencies.(2)
(b)Work out the probability that a person chosen at random uses a tablet for study or uses the library.(3)
(Total for Question 7 is 5 marks)
8
A frequency tree for 90 customers begins: Bought tea 54, Did not buy tea 36. Of those who bought tea, 36 also bought biscuits.
(a) Complete the missing frequency for bought tea and did not buy biscuits. (b) Work out the probability that a customer bought biscuits given they bought tea. Give your answer as a fraction.
(a)Write the two frequencies under the 'Bought tea' branch.(2)
(b)Work out the probability that a customer bought biscuits given they bought tea. Give your answer as a fraction in simplest form.(4)
(Total for Question 8 is 6 marks)
9
A school records how pupils travel to school. Out of 150 pupils: Travel by bus 60, Travel by bike 30, Walk 60.
A frequency tree further splits 'Travel by bus' into: Bus with pass 45, Bus without pass 15.
(a) Complete the four end frequencies for all travel types and subtypes. (b) Work out the probability that a pupil chosen at random travels by bike or by bus with a pass.
(a)List the end frequencies for: Bus with pass, Bus without pass, Bike, Walk.(2)
(b)Work out the probability that a pupil chosen at random travels by bike or by bus with a pass. Give your answer as a fraction and as a percentage.(4)
(Total for Question 9 is 6 marks)
10
A charity records donations from 240 people. A frequency tree shows: Donated online 150, Donated in person 90. Of those who donated online, 90 used a one-off donation and 60 set up a monthly donation. Of those who donated in person, 30 were under 25 and 60 were 25 or older.
(a) Complete the tree full frequencies for the four final branches. (b) Work out the probability that a randomly chosen donor is either a monthly online donor or an in-person donor aged 25 or older. (c) A fundraising target needs 96 donors who give monthly online. How many more monthly online donors are needed?
(a)Give the four end frequencies.(2)
(b)Work out the probability that a donor is either a monthly online donor or an in-person donor aged 25 or older. Give your answer as a fraction.(3)
(c)Find how many more monthly online donors are needed to reach the target of 96 monthly online donors.(3)
(Total for Question 10 is 8 marks)
Mark scheme · 3.19F Frequency Trees: Foundation Tier Practice

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10