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Speed

Free Printable Speed PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 5)

Download free speed worksheets (PDF), GCSE maths past paper questions and worked solutions for Speed (5E). This is a Grade 5 ratio & proportion topic from the GCSE questions by topic collection for Foundation and Higher tier crossover GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Maths4Everyone, Corbett Maths, Maths Made Easy, Dr Frost, Dr Austin, Metatutor, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our speed revision notes and worked examples with diagrams, try real GCSE past paper speed questions with step-by-step solutions, or download a PDF of all speed worksheet links.

Free Speed PDF Worksheets & Answers

Grade 5 • Topic 5E
Resource Questions Answers
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Graded exam questions & solutions
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GCSE 9–1 practice booklet & solutions
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PMT (Edxl)
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Grade 5 topics
5A - Combining ratios5B - Direct and inverse proportion
5C - Reverse percentages5D - Standard form
5E - Speed5F - Changing the subject
5G - Quadratic expressions5H - Solving quadratic equations
5J - Drawing quadratic graphs5K - Cubic/reciprocal graphs
5L - Simultaneous equations5M - Sector areas and arc lengths
5N - Sim. equ. graphically5P - Midpoint of a line segment
5Q - Gradient of a line5R - Equation of a line
5S - Spheres and cones5T - Similar shapes (lengths)
5U - Trigonometry (SOHCAHTOA)5V - Exact trig. values
5W - Probability trees5X - Vectors
5Y - Venn diagrams5Z - Density
5AA - Pressure
GCSE Maths Grade 5 Revision Notes & Method

Guide to Speed: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

Speed, distance and time are connected by Speed = DistanceTime, Distance = Speed × Time, and Time = DistanceSpeed. Always check that your units match: to convert minutes into hours, divide by 60 (for example, 45 minutes = 4560 = 0.75 hours, never 0.45).

For a journey in two or more stages, never average the speeds—always use Average Speed = Total DistanceTotal Time.

Example 1: A train travels 198 km in 2 hours 15 minutes. Work out its average speed in km/h.

Solution:

Convert time to hours: 15 ÷ 60 = 0.25 hours
Total time = 2.25 hours
Speed = Distance ÷ Time = 198 ÷ 2.25
198 ÷ 2.25 = 88
Answer: 88 km/h

Example 2: Ben drives 60 miles at 40 mph, then 90 miles at 60 mph. Find his average speed for the whole journey.

Solution:

Time 1 = 60 ÷ 40 = 1.5 h; Time 2 = 90 ÷ 60 = 1.5 h
Total distance = 60 + 90 = 150 miles
Total time = 1.5 + 1.5 = 3 hours
Average speed = 150 ÷ 3 = 50 mph
Answer: 50 mph
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Speed Questions & Answers

Past Paper Example 1 OCR Jun 2017 2F Q15 / 5H Q2 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
The graph shows Mia’s journey from her home to university.
020406080100120140160090010001100TimeuniversityhomeDistancefrom home(kilometres)
Calculate Mia’s average speed for the whole journey.
Worked Solution & Mark Scheme (3 marks)
(Average speed = distance ÷ time)
Total distance = 160 km M1
Total time from 0900 to 1130 is 2.5 hours. M1
Average speed = 1602.5 = 64 km/h. A1
Answer: 64 km/h km/h
Past Paper Example 2 AQA Nov 2021 1F Q28 / 1H Q11 4 marks
Full Paper (PDF) • Mark Scheme (PDF)
A, B, C and D are junctions on a motorway.
Not drawnaccuratelyABCD
distance CD = 3 × distance AB
distance BC = 25 miles
Salma drives from A to C.
She drives for 30 minutes at an average speed of 62 miles per hour.
Work out the distance AD.
Worked Solution & Mark Scheme (4 marks)
(Distance = speed × time)
Time from A to C = 0.5 hours M1
Distance AC = 62 × 0.5 = 31 miles M1
Distance AB = AC - BC = 31 - 25 = 6 miles M1
Distance CD = 3 × AB = 3 × 6 = 18 miles
Distance AD = AC + CD = 31 + 18 = 49 miles. A1
Answer: Answer 49 miles
Past Paper Example 3 Eduqas Jun 2024 2F Q9 4 marks
Full Paper (PDF) • Mark Scheme (PDF)
The table below shows distances between some places in New Zealand.
All distances are in kilometres (km).
New Plymouth357797Rotorua234670290Thames114550414349Wellington6581094718323380Whakatane298737205308165AucklandCape ReingaHicks BayNapierTaupo
(a) Complete the sentence. [1 mark]
(b) Sharon drove from Wellington to Taupo.
The journey took 4 hours and 30 minutes.
Calculate the average speed of Sharon’s journey in kilometres per hour. [3 marks]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
(Average speed = distance ÷ time)
Look up 414 in the table: row Thames and column Hicks Bay. B1
Answer (a): Thames and Hicks Bay
Part (b) Solution:
(Average speed = distance ÷ time)
Distance from Wellington to Taupo = 380 km M1
Time = 4 hours 30 minutes = 4· 5 hours. M1
Average speed = 3804· 5 = 84· 444... km/h ≈ 84· 4 km/h. A1
Answer (b): 84.4 km/h

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