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Algebraic Patterns and Expressions — Free MYP1 Mathematics Practice Questions
1QuestionCreating Expressions from PatternsConcept Practice
2 marks~3 minCriterion B
The table shows the number of small squares in square grids of different sizes.
| Side length | 1 | 2 | 3 |
|---|---|---|---|
| Number of small squares | 1 | 4 | 9 |
a
Identify the pattern shown in the table. [1]
b
Write an expression for the number of small squares in an grid. [1]
Solutions
2QuestionEvaluating Expressions Derived from PatternsAssessment Practice
5 marks~8 minCriterion C
A student is designing a square patio. For a patio with a side length of tiles, she uses the expression to count the edge tiles. The patio measures tiles.
a
Calculate the number of edge tiles using when . [1]
b
Identify one problem with using to count edge tiles on a square patio. [1]
c
Describe how the problem you identified changes the total tile count for this patio. [3]
Solutions
3QuestionEvaluating Expressions Derived from PatternsConcept Practice
2 marks~3 minCriterion A
The number of matchsticks needed to build squares in a row is given by .
Calculate the number of matchsticks needed to build 5 squares. [2]
Calculate the number of matchsticks needed to build 5 squares. [2]
Solutions
4QuestionUsing Letters to Represent NumbersAssessment Practice
6 marks~9 minCriterion D
A student is selling cakes and brownies at a school bake sale. One cake costs dollars and one brownie costs dollars.
a
State the total cost, in dollars, of buying 3 cakes and 2 brownies. [1]
b
Calculate the total cost when and . Show your working. [2]
c
Describe two ways the expression might not give the real total cost at an actual bake sale. [3]
Solutions
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