Where can I download free two way tables PDF worksheets with answers?

On this MathsLinks page you can download free printable two way tables PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Maths Genie, Corbett Practice, Corbett Textbook, Dr Austin, plus a printable one-page two way tables revision guide.

What GCSE grade is two way tables (3Z)?

Two way tables (topic code 3Z) is a Grade 3 statistics topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Two way tables Worksheets (PDF) with Answers — GCSE Maths

Free Two way tables PDF Worksheets & Answers

Grade 3 • Topic 3Z

Resource	Questions	Answers
Ken Stafford GCSE past paper questions & solutions	Qs	Ans
Maths Genie Graded exam questions & solutions	Qs	Ans
Corbett Practice Practice Questions & answers	Qs	Ans
Corbett Textbook Textbook Exercise & answers	Qs	Ans
Dr Austin Practice grid / worksheet & answers	Qs	Ans
Metatutor Topic worksheet & worked solutions	Qs	Ans
Maths4EveryOne KS2 SATs questions & solutions	Qs	Ans
E Classroom GCSE topic booklet & answers	Qs	Ans
PMT (Edxl) Edexcel GCSE topic questions & solutions	Qs	Ans
PMT (AQA) AQA GCSE topic questions & solutions	Qs	Ans
PMT (IGCSE) Edexcel IGCSE topic questions & solutions	Qs	Ans
The Maths Room Online topic notes & examples	Page
esheets Self-marking online worksheet	Page

Grade 3 topics
3A - Error intervals	3B - Operations with fractions
3C - Estimation	3D - Writing and simplifying ratio
3E - Ratio	3F - Proportion recipes
3G - Percentages	3H - Percentage change
3J - Exchange rates	3K - Conversions and units
3L - Scale drawings	3M - Best buy questions
3N - Substitution	3P - Solving linear equations
3Q - Straight line graphs	3R - Area and circumference
3S - Rotations	3T - Reflections
3U - Enlargements	3V - Translations
3W - Mixed transformations	3X - Area of compound shapes
3Y - Frequency trees	3Z - Two way tables

Explanation:

A two-way table sorts data into rows (one category) and columns (a second category). Every row adds across to its Row Total on the right, every column adds down to its Column Total at the bottom, and both sets of totals add to the Grand Total in the bottom-right corner.

Start with any row or column that has only one missing value, subtract from the total to fill it in, and repeat until every cell is complete. Read probability questions carefully to check the denominator.

Example 1: Complete the two-way table for 80 students choosing French or Spanish (bold numbers are the missing answers).

	French	Spanish	Total
Year 10	18	27	45
Year 11	14	21	35
Total	32	48	80

Y10 Spanish = 45 − 18 = 27; Y11 French = 32 − 18 = 14

Y11 Total = 80 − 45 = 35; Spanish Total = 27 + 21 = 48

Example 2: Using the completed table in Example 1:
(a) Find the probability a random student studies Spanish.
(b) A Year 11 student is chosen at random. Find P(French).

Solution:

(a) Out of all 80 students, 48 study Spanish:

P(Spanish) = 4880 = 35

(b) Out of the 35 Year 11s, 14 study French:

Answer: (a) 4880 (b) 1435 (or 25)

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Two way tables Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 GCSE Jun 2024 3F Q13 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

James asks students in Year 10 and Year 11 to name their favourite language from
French or German or Spanish.
The two-way table shows information about his results.

Complete the two-way table.

Worked Solution & Mark Scheme (3 marks)

Year 10 Total = 207 – 113 = 94 M1
Year 10 German = 94 – 33 – 34 = 27
Total German = 27 + 45 = 72 M1
Year 11 Spanish = 67 – 34 = 33
Year 11 French = 113 – 45 – 33 = 35
Total French = 33 + 35 = 68 A1

Answer: Year 10: 33, 27, 34, 94; Year 11: 35, 45, 33, 113; Total: 68, 72, 67, 207

Past Paper Example 2 GCSE Nov 2024 1F Q11 5 marks

Full Paper (PDF) • Mark Scheme (PDF)

500 people were asked what type of film they liked best.
280 of the 500 people were adults.
100 of the adults said they liked action films best.
80 of the children said they liked thriller films best.
150 of the people said they liked action films best.
200 of the people said they liked comedy films best.

(a) Complete the two-way table. [3 marks]

(b) Find the probability that this person is an adult who said they liked action films best. [2 marks]

Worked Solution & Mark Scheme (5 marks)

Part (a) Solution:

Adults: 110, 70, 100, 280 M1
Children: 90, 80, 50, 220 M1
Total: 200, 150, 150, 500 A1

Answer (a): Adults: 110, 70, 100, 280; Children: 90, 80, 50, 220; Total: 200, 150, 150, 500

Part (b) Solution:

100 adults liked action out of 500 people = 100/500 = 1/5 M1 A1

Answer (b): 100500

Past Paper Example 3 GCSE Nov 2021 3F Q9 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

Vadim has 56 clocks.
The clocks are only red, only blue or only black.

32 of the clocks are plastic.
5 of the 14 blue clocks are plastic.
8 of the 12 red clocks are **not** plastic.
Use this information to complete the two-way table.

Worked Solution & Mark Scheme (3 marks)

Red plastic = 12 – 8 = 4 M1
Black plastic = 32 – (4 + 5) = 23
Blue not plastic = 14 – 5 = 9 M1
Black total = 56 – (12 + 14) = 30
Black not plastic = 30 – 23 = 7
Total not plastic = 24 A1

Answer: Plastic: 4, 5, 23, 32; Not plastic: 8, 9, 7, 24; Total: 12, 14, 30, 56

← 3Y Frequency trees

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Two way tables

Free Two way tables PDF Worksheets & Answers

Guide to Two way tables: Explanation, Diagrams & Worked Examples

GCSE Past Paper Two way tables Questions & Answers