Algebraic: Real-world Applications of Factorising (Common Factor)
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying factorising techniques in real-world contexts and mathematical procedures for Grade 6 students.
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Algebraic: Real-world Applications of Factorising (Common Factor)
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise the expression 12x + 8.
[2 marks]2.
Simplify the algebraic expression by factorising: 18a + 24.
[2 marks]3.
Factorise the expression: 15y - 10.
[2 marks]4.
Calculate the result of factorising 20m + 15.
[3 marks]5.
A farmer has 48 apples and 36 oranges. Write an algebraic expression to show the total number of fruits if he groups them into equal boxes with the same number per box. Factorise your expression.
[4 marks]6.
A rectangle's length is 14 units, and its width is 7 units. Express its perimeter as an algebraic expression and factorise it.
[4 marks]7.
Plot the graph of y=3x + 6 on the grid provided.
[3 marks]8.
Construct a triangle with sides 6x, 9x, and 3x. Write the algebraic expression for the perimeter and factorise it.
[4 marks]9.
Identify the common mistake in factorising 20a + 25 and correct it.
[3 marks]10.
Solve for x: 3(2x + 4) = 30.
[3 marks]11.
A bag contains multiple items, with total weight represented as 10w + 15. Factorise this expression and explain its real-world significance.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet