Where can I download free conversions and units PDF worksheets with answers?

On this MathsLinks page you can download free printable conversions and units PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Maths Genie, Corbett Practice, Corbett Textbook, Maths4EveryOne, plus a printable one-page conversions and units revision guide.

What GCSE grade is conversions and units (3K)?

Conversions and units (topic code 3K) is a Grade 3 geometry topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Conversions and units Worksheets (PDF) with Answers — GCSE Maths

Free Conversions and units PDF Worksheets & Answers

Grade 3 • Topic 3K

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
Maths4EveryOne Structured worksheet & solutions	Qs	Ans
Metatutor Topic worksheet & worked solutions	Qs	Ans
Maths DIY Exam-style booklet & solutions	Qs	Ans
Maths Takeaway GCSE Maths Takeaway exam questions	Qs	Ans
Dr Austin Practice grid / worksheet & answers	Qs	Ans
Metatutor (1) 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
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:

Know the essential metric conversions by heart: 1 cm = 10 mm, 1 m = 100 cm, 1 km = 1000 m, 1 kg = 1000 g, 1 tonne = 1000 kg, and 1 litre = 1000 ml = 1000 cm³. Multiply when changing from a larger unit to a smaller unit; divide when changing from a smaller unit to a larger unit.

For time, remember there are 60 minutes in 1 hour (so 0.25 hours = 15 mins, 0.5 hours = 30 mins, 0.75 hours = 45 mins). For area and volume conversions, square or cube the length conversion factor (e.g. 1 m² = 100² cm² = 10,000 cm²).

Example 1: Convert:
(a) 3.45 kg into grams
(b) 2 hours 24 minutes into hours (as a decimal)

Solution:

(a) 3.45 × 1000 = 3450 g

(b) 24 mins = 2460 hrs = 0.4 hours

2 + 0.4 = 2.4 hours

Answer: (a) 3450 g (b) 2.4 hours

Example 2: Convert 4.5 m² into cm².

Solution:

Length conversion: 1 m = 100 cm

Area conversion: 1 m² = 100 × 100 = 10,000 cm²

4.5 × 10,000 = 45,000 cm²

Answer: 45,000 cm²

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Conversions and units Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 Eduqas Jun 2024 2F Q5 10 marks

Full Paper (PDF) • Mark Scheme (PDF)

Austin owns a cake shop.

(a) He sells his cakes in boxes.
Austin buys some boxes.
Each box costs £1.35.
He pays a total of £63.75 which includes a £3 delivery charge.
How many boxes did Austin buy? [2 marks]

(b) Austin uses cake boards to display his cakes.
Each board is square with sides of length 35·6 cm.
He puts ribbon around the perimeter of the boards for decoration.
Austin has 4 metres of ribbon.
He puts the ribbon around the perimeter of two cake boards.
The ribbon does not overlap on either board.
How much ribbon will Austin have left over? [4 marks]

How many grams of butter does Austin need to make 3 cakes?

Austin buys bags of sugar.
Each bag has a mass of 500g.
What is the mass of one bag of sugar in ounces?
Give your answer to the nearest ounce. [2 marks]

Worked Solution & Mark Scheme (10 marks)

Part (a) Solution:

Cost of boxes only = £63· 75 - £3 = £60· 75 M1
Number of boxes = 60· 75 ÷ 1· 35 = 45. A1

Answer (a): 45

Part (b) Solution:

Perimeter of 1 board = 4 × 35· 6 = 142· 4 cm M1
Perimeter of 2 boards = 2 × 142· 4 = 284· 8 cm = 2· 848 m M1
Ribbon available = 4 m = 400 cm M1
Ribbon left over = 400 - 284· 8 = 115· 2 cm (or 1· 152 m). A1

Answer (b): 115.2 cm (or 1.152 m)

Part (c) Solution:

Reading from scale = 6· 6 oz M1
For 1 cake: 6· 6 × 28· 35 = 187· 11 g
For 3 cakes: 3 × 187· 11 = 561· 33 g (or 3 × 6· 6 = 19· 8 oz, 19· 8 × 28· 35 = 561· 33 g). A1

Answer (c): 561.33 g (accept 561 g - 562 g)

Part Solution:

500 ÷ 28· 35 = 17· 6366... oz M1
Rounded to the nearest ounce = 18 ounces. A1

Answer : 18 ounces

Past Paper Example 2 IGCSE Jun 2021 1F Q2 5 marks

Full Paper (PDF) • Mark Scheme (PDF)

The diagram shows part of a number line.

(a) Write down the number marked with the arrow. [1 mark]

(b) How many kilograms less? [1 mark]

(d) Change 91 600 millilitres into litres. [1 mark]

(e) Write this time using the 24-hour clock. [1 mark]

Worked Solution & Mark Scheme (5 marks)

Part (a) Solution:

Each division is 0.2, 12 + 3 × 0.2 = 12.6 B1

Answer (a): 12.6

Part (b) Solution:

Scale reads 4.6 kg
6 − 4.6 = 1.4 kg B1

Answer (b): 1.4 kilograms

Part (c) Solution:

7.6 × 100 = 760 B1

Answer (c): 760 centimetres

Part (d) Solution:

91600 ÷ 1000 = 91.6 B1

Answer (d): 91.6 litres

Part (e) Solution:

7 + 12 = 19 → 19:15 B1

Answer (e): 19 15

Past Paper Example 3 GCSE Jun 2024 2F Q16 3 marks

Full Paper (PDF) • Mark Scheme (PDF)

You can use this graph to change between ounces and grams.

(a) Change 6 ounces to grams. [1 mark]

(b) Change 1 kg to ounces. [2 marks]

Worked Solution & Mark Scheme (3 marks)

Part (a) Solution:

At 6 ounces, graph reads 170 g B1

Answer (a): 170 grams

Part (b) Solution:

200 g ≈ 7 ounces M1
⇒ 1000 g = 5 × 7 = 35 ounces A1

Answer (b): 35 ounces

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Conversions and units

Free Conversions and units PDF Worksheets & Answers

Guide to Conversions and units: Explanation, Diagrams & Worked Examples

GCSE Past Paper Conversions and units Questions & Answers