Where can I download free writing an expression PDF worksheets with answers?

On this MathsLinks page you can download free printable writing an expression 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 writing an expression revision guide.

What GCSE grade is writing an expression (2G)?

Writing an expression (topic code 2G) is a Grade 2 algebra topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Writing an expression Worksheets (PDF) with Answers — GCSE Maths

Free Writing an expression PDF Worksheets & Answers

Grade 2 • Topic 2G

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
Maths4EveryOne KS2 SATs questions & solutions	Qs	Ans
Metatutor Topic worksheet & worked 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
Cognito Interactive online lesson & practice	Page

Grade 2 topics
2A - Calculation problems	2B - Using a calculator
2C - Systematic listing	2D - Fraction of an amount
2E - FDP	2F - Simplifying algebra
2G - Writing an expression	2H - Function machines
2J - Solving one step equations	2K - Angles
2L - Area and perimeter	2M - Reading scales
2N - Probability & Probability Scale	2P - Frequency polygons
2Q - Unitary method	2R - Bar charts
2S - Pie charts	2T - Averages
2U - Stem and leaf diagrams

Explanation:

An algebraic expression uses letters to stand for unknown numbers (and has no equals sign). Translate key words into algebra: “4 more than x” is x + 4, “5 less than x” is x − 5, “3 times x” is 3x, and “half of x” is x2.

If you are unsure which operation to use with a letter, test it with a simple number first to see what calculation you do, then replace the number with the letter. Always check that money or length units match before forming the expression.

Example 1: Ben is x years old. Alice is 4 years older than Ben. Dan is 3 times as old as Ben. Write a simplified expression for the sum of all three ages.

Solution:

• Ben: x • Alice: x + 4 • Dan: 3x

• Add all three ages together:

x + (x + 4) + 3x

• Collect like terms → Answer: 5x + 4

Example 2: A tea costs t pence, a coffee costs c pence, and a cake costs £2.50. Write an expression in pence for the total cost of 3 teas, 2 coffees, and 1 cake.

Solution:

• Convert £2.50 into pence first: £2.50 = 250p

• 3 teas = 3t pence; 2 coffees = 2c pence

• Add the items together in pence:

Answer: 3t + 2c + 250

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Writing an expression Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 Specimen Set 1 1F Q13 5 marks

Full Paper (PDF) • Mark Scheme (PDF)

Here is a sequence of patterns made with grey square tiles and white square tiles.

(a) In the space below, draw pattern number 4 [1 mark]

(b) Find the total number of tiles in pattern number 20 [2 marks]

Worked Solution & Mark Scheme (5 marks)

Part (a) Solution:

Column of 6 grey tiles on the left and 4 white tiles on the right

Answer (a): Column of 6 grey tiles on the left and 4 white tiles on the right

Part (b) Solution:

Total tiles in pattern n = (n + 2) + n = 2n + 2 M1
⇒ 2(20) + 2 = 42 A1

Answer (b): 42

Part (c) Solution:

Grey tiles: 3, 4, 5, ... = n + 2 M1 A1

Answer (c): n + 2

Past Paper Example 2 GCSE Nov 2019 2F Q18 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

Ben is n years old.
Chloe is twice as old as Ben.
Dan is five years younger than Ben.
The total of Ben's age, Chloe's age and Dan's age is T years.

(a) Find a formula for T in terms of n. [3 marks]

(b) In the table below, put a tick (✓) in the box next to the identity. [1 mark]

Worked Solution & Mark Scheme (4 marks)

Part (a) Solution:

T = n + 2n + (n – 5) = 4n – 5 M2 A1

Answer (a): T = T = 4n - 5

Part (b) Solution:

5m – 3m = 2m is true for all values of m B1

Answer (b): 5m – 3m = 2m ticked

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

Full Paper (PDF) • Mark Scheme (PDF)

Work out
(a) Simplify m × m × m × m (1)
In a competition, a player gets 5 points for each win, 2 points for each draw, 0 points for each loss. Amy wins x games and draws y games.
(b) Write down an expression, in terms of x and y, for the total number of points Amy gets. (2)

(a) Simplify m × m × m × m [1 mark]

(b) Write down an expression, in terms of x and y, for the total number of points
Amy gets. [2 marks]

Worked Solution & Mark Scheme (3 marks)

Part (a) Solution:

m⁴ B1

Answer (a): m⁴

Part (b) Solution:

5 × x + 2 × y = 5x + 2y M1 A1

Answer (b): 5x + 2y

← 2F Simplifying algebra

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Writing an expression

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GCSE Past Paper Writing an expression Questions & Answers