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Expanding and Factorising Single Brackets — Free MYP3 Mathematics Practice Questions
1QuestionCreating Equivalent Expressions through ExpansionConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of cm and cm.
Calculate the simplified expression for the area of the rectangle in cm², showing all steps of your expansion. [2]
Calculate the simplified expression for the area of the rectangle in cm², showing all steps of your expansion. [2]
Solutions
2QuestionFactoring Common Terms from ExpressionsAssessment Practice
3 marks~5 minCriterion C
A rectangle has a fixed length of 3 units. Its area (in square units) is given by , where is the width in units.
The graph shows against for .
The graph shows against for .
a
Describe what the graph of looks like. [1]
b
Explain why is directly proportional to . [1]
c
A student claims the constant of proportionality is 10 because the graph reaches when . Calculate the correct constant of proportionality and explain the student's error. [1]
Solutions
3QuestionCreating Equivalent Expressions through ExpansionConcept Practice
2 marks~3 minCriterion B
Each expansion below follows the same pattern.
a
Calculate the expansion of . [1]
b
State the general rule for expanding . [1]
Solutions
4QuestionCreating Equivalent Expressions through ExpansionAssessment Practice
6 marks~9 minCriterion D
A rectangular garden bed has a length of m and a width of m. A student expands the expression for the area to obtain .
a
Calculate the area of the garden bed for using both and . [2]
b
The actual width is m due to a measurement error. Calculate the actual area for . [1]
c
The student claims is still a valid model for the garden bed. Analyse this claim using the percentage difference in area. [3]
Solutions
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