From Words: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on translating words into algebraic expressions, with emphasis on common errors and misconceptions. Designed for GCSE Foundation students to develop procedural skills and reasoning.

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Full preview • 12 questions

From Words: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Translate the phrase 'five more than twice a number' into an algebraic expression.
[2 marks]
2.
Write an expression for 'the sum of three and a number'.
[2 marks]
3.
Construct an algebraic expression for 'a number decreased by four'.
[2 marks]
4.
Translate the words 'half of a number plus seven' into an algebraic expression.
[2 marks]
5.
Identify and correct the mistake in this translation: 'the product of a number and five, plus three' written as 5x + 3.
[2 marks]
6.
A student writes 'x + 4' for 'four less than a number'. Is this correct? If not, correct it.
[2 marks]
7.
Translate into an algebraic expression: 'The number doubled and then increased by nine'.
[2 marks]
8.
Express 'the square of a number minus ten' using algebra.
[2 marks]
9.
A word problem: 'Sarah has three times as many apples as Tom. If Tom has x apples, write an expression for the total number of apples they have together.'
[3 marks]
10.
Identify the misconception: A student writes 'x * 2 + 5' for 'twice a number, plus five'. The expression is correct. True or False?
[1 mark]
11.
Simplify the expression: 2(x + 3) - x.
[3 marks]
12.
Error analysis: A student writes the expression 'x + x + 4' for 'the sum of twice a number and four'. Is this correct? If not, correct it and explain.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet