IGCSE Maths · Edexcel 4XMA1 · Unit 1 Higher · Statistics

Two-Way Tables — Practice Questions

11 exam-style questions (34 marks), building from warm-up to grade 8–9. Show full working: Edexcel gives method marks even when the final answer is wrong.

Section A — Warm-up (grades 4–5)

(3 marks)35 students chose a sport. Complete the two-way table.
Boys Girls Total
Tennis 8 20
Football 6
Total 17 35
(2 marks)Use your completed table from Question 1. A student is chosen at random.
(a) Find the probability that the student is a girl who plays tennis.
(b) Find the probability that the student plays football.
(3 marks)Complete the table showing how 80 students travel to school.
Walk Bus Car Total
Year 10 12 9 40
Year 11 15
Total 25 80

	Boys	Girls	Total
Tennis	8		20
Football		6
Total	17		35

	Walk	Bus	Car	Total
Year 10	12		9	40
Year 11		15
Total	25			80

Section B — Core (grades 5–7)

(4 marks)120 students each chose one language: French, Spanish or Mandarin.
64 of the students are girls. 23 girls chose French. 31 boys chose Spanish. 40 students chose Mandarin, and 18 of these are boys.
Draw a two-way table and use it to find how many girls chose Spanish.
Hint
Find the number of boys first.
(2 marks)Using Question 4, one of the students who chose Mandarin is picked at random. Find the probability that this student is a girl.
(3 marks)100 people were asked how they prefer to watch films.
Age (years) Cinema Streaming Neither Total
0–17 14 9 26
18–39 18 6 35
40+ 5 22
Total 39 100
(a) Complete the table.
(b) What fraction of the people aged 40 or over prefer streaming?
(4 marks)250 members of a sports club were surveyed. 40% of the members are juniors. 60% of the juniors swim. 75 of the adults swim.
(a) Complete a two-way table for this information.
(b) A member is chosen at random. Find the probability that they swim.
(2 marks)The club in Question 7 opens a new branch with 400 members. Assuming the same pattern, estimate how many of them swim.

Age (years)	Cinema	Streaming	Neither	Total
0–17	14	9		26
18–39		18	6	35
40+	5		22
Total		39		100

Section C — Stretch (grades 8–9)

(4 marks)80 people chose Plan A or Plan B, and each person is either a new or an existing customer.
Plan A Plan B Total
New x 2x
Existing x + 5 15
Total 80
(a) Find x.
(b) Find the probability that a person chosen at random from the Plan A customers is a new customer.
(4 marks)A chess club has 96 members. The ratio of boys to girls is 3 : 5. One quarter of the boys and 3/10 of the girls play in tournaments.
A tournament player is chosen at random. Find the probability that this player is a girl.
(3 marks)Draw a Venn diagram that shows the same information as this table, using C = {has a cat} and D = {has a dog}.
Cat No cat Total
Dog 6 10 16
No dog 14 10 24
Total 20 20 40

	Plan A	Plan B	Total
New	x	2x
Existing	x + 5	15
Total			80

	Cat	No cat	Total
Dog	6	10	16
No dog	14	10	24
Total	20	20	40

When you’re doneRevise the method in the notes, then mark your answers with the worked solutions.

← Back to the Edexcel Unit 1 resource listThe Vector Academy · thevectoracademy.in

Book a free trial class

Tell us a little about your requirement.