Where can I download free real life graphs PDF worksheets with answers?

On this MathsLinks page you can download free printable real life graphs PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Maths Genie, Corbett Practice, Corbett Textbook, Maths Made Easy, plus a printable one-page real life graphs revision guide.

What GCSE grade is real life graphs (4D)?

Real life graphs (topic code 4D) is a Grade 4 algebra topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Real life graphs Worksheets (PDF) with Answers — GCSE Maths

Free Real life graphs PDF Worksheets & Answers

Grade 4 • Topic 4D

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
Maths Made Easy MME worksheet & model answers	Qs	Ans
Dr Frost GCSE worksheet & solutions	Qs	Ans
Dr Austin Practice grid / worksheet & answers	Qs	Ans
Metatutor Topic worksheet & worked solutions	Qs	Ans
GCSE Maths Rocket Practice questions & answers	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
Cognito Interactive online lesson & practice	Page

Grade 4 topics
4A - Compound interest	4B - Indices (index laws)
4C - Prime factors HCF and LCM	4D - Real life graphs
4E - Inequalities on a number line	4F - Solving inequalities
4G - Forming and solving equations	4H - nth term of a linear sequence
4J - Expanding and factorising	4K - Pythagoras theorem
4L - Angles in parallel lines	4M - Angles in polygons
4N - Surface area	4P - Volume of a cuboid
4Q - Volume of a prism	4R - Bearings
4S - Cylinders	4T - Plans and elevations
4U - Scatter graphs	4V - Probability
4W - Averages from tables	4X - Reverse mean
4Y - Area of a trapezium	4Z - Loci and construction

Explanation:

On a distance–time graph, a sloping straight line represents constant speed, a horizontal flat line means the object is stationary (stopped), and the gradient equals the speed (DistanceTime). Always check the time scale on the horizontal axis (e.g. 15 mins = 0.25 hours).

On a cost or conversion graph (such as taxi fares or utility bills), the y-intercept is the fixed standing charge, and the gradient (Change in yChange in x) is the rate per unit (e.g. cost per mile).

Example 1: A cyclist leaves at 09:00, travels 18 km by 09:45, rests 15 mins, then cycles 18 km home by 10:30. Find Stage 1 speed in km/h.

Dist = 18 km

45 min = 0.75 h

Speed = 180.75 = 24 km/h

Example 2: A plumber's graph goes from (0, 45) through (3, 135) for hours x and cost y (£). Find the call-out fee and hourly rate.

Fee (0 hrs) = £45

Rate = 135 − 453 = £30/h

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Real life graphs Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 GCSE Jun 2025 2F Q16 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

A train travels from Derby to Sheffield.
The travel graph shows information about the train’s journey.

(a) Work out the speed of the train.
Give your answer in miles per hour. [2 marks]

(b) Show this information on the travel graph. [1 mark]

Worked Solution & Mark Scheme (3 marks)

Part (a) Solution:

(Average speed = distance ÷ time)
Distance = 35 miles, Time = 30 minutes = 0.5 hours M1
Speed = 35 ÷ 0.5 = 70 mph A1

Answer (a): 70 miles per hour

Part (b) Solution:

(Average speed = distance ÷ time)
Draw horizontal line at distance 35 from t = 30 to t = 45 B1

Answer (b): Horizontal line from (30, 35) to (45, 35)

Past Paper Example 2 AQA Jun 2023 3F Q6 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Scarlett leaves home at 10.00 to cycle to the supermarket.
Here is part of a distance-time graph of her trip to the supermarket.

(a) She arrives at the supermarket at 10.20
How far is the supermarket from her home? [1 mark]

(b) She leaves the supermarket at 10.35
How long does she stay at the supermarket? [1 mark]

(c) Scarlett cycles home at a constant speed using the same route.
It takes her 3 minutes longer than her journey to the supermarket.
Complete the distance-time graph. [2 marks]

Worked Solution & Mark Scheme (4 marks)

Part (a) Solution:

Reading the vertical axis at 10.20: distance is 7 km. B1

Answer (a): Answer 7 km

Part (b) Solution:

Time stayed = 10.35 - 10.20 = 15 minutes. B1

Answer (b): Answer 15 minutes

Part (c) Solution:

(Average speed = distance ÷ time)
Outbound journey took 20 minutes (10.00 to 10.20) M1
Return journey takes 20 + 3 = 23 minutes
Leaves at 10.35, arrives home at 10.35 + 23 minutes = 10.58
Draw a straight line from (10.35, 7) down to (10.58, 0). A1

Answer (c): Answer Line from (10.35, 7) to (10.58, 0)

Past Paper Example 3 AQA Nov 2019 3F Q18 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

Jenny leaves home at 06.00
She runs for 3 hours.
Here is a distance-time graph of her run.

(a) How far from home is she after 3 hours? [1 mark]

(b) For the next hour she rests.
She then gets a bus home.
She arrives home at 11.30
Complete the distance-time graph.
Assume the bus travels at a constant speed. [2 marks]

Worked Solution & Mark Scheme (3 marks)

Part (a) Solution:

At 09.00 (3 hours after 06.00), read the distance from the vertical axis: 20 km. B1

Answer (a): Answer 20 km

Part (b) Solution:

(Average speed = distance ÷ time)
Resting for 1 hour: draw a horizontal line at 20 km from 09.00 to 10.00 M1
Bus travels home: draw a straight line from (10.00, 20) to (11.30, 0). A1

Answer (b): Horizontal line from (09.00, 20) to (10.00, 20), then a straight line from (10.00, 20) to (11.30, 0).

← 4C Prime factors HCF and LCM

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Real life graphs

Free Real life graphs PDF Worksheets & Answers

Guide to Real life graphs: Explanation, Diagrams & Worked Examples

GCSE Past Paper Real life graphs Questions & Answers