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Introduction to Variables and Constants — Free MYP3 Mathematics Practice Questions
1QuestionBuilding Expressions from Verbal DescriptionsConcept Practice
2 marks~3 minCriterion A
A rectangle has a length of 12 cm and a width of 5 cm.
a
Write an expression for the perimeter of the rectangle in terms of its length and width . [1]
b
Calculate the perimeter of the rectangle using the given dimensions. [1]
Solutions
2QuestionBuilding Expressions from Verbal DescriptionsAssessment Practice
5 marks~8 minCriterion D
A student running a school bake sale writes the expression to model total profit in dollars, where is the number of cakes sold at 5 dollars each and 20 dollars is the cost of ingredients.
a
Describe two assumptions the student made when building this model. [2]
b
Explain how unsold cakes and changes in ingredient costs would each affect the accuracy of this model. [2]
c
Analyse one additional real-world factor not captured by and explain how including it would change the expression. [1]
Solutions
3QuestionRecognizing Like and Unlike TermsConcept Practice
3 marks~5 minCriterion B
The scatter plot below shows the number of hours a student studies per week and their test score.
a
Describe the direction of the trend shown in the scatter plot. [1]
b
Explain what the trend tells you about the relationship between hours studied and test score. [1]
c
A student studies for 6 hours per week and scores 70. Another student studies for 10 hours per week. Using the trend in the graph, interpret what score the second student is most likely to achieve, and justify your reasoning. [1]
Solutions
4QuestionRecognizing Like and Unlike TermsAssessment Practice
6 marks~9 minCriterion C
A student writes the expression to model the total cost, in dollars, of buying apples and bananas for a class party. Here is the cost per kilogram of apples and is the cost per kilogram of bananas. The student claims that and are unlike terms because they have different coefficients, so the expression cannot be simplified.
a
Identify the error in the student's reasoning and explain why and are like terms. [2]
b
Calculate the simplified expression that correctly models the total cost. [2]
c
The model assumes that apples always cost dollars per kilogram regardless of the quantity bought. Analyse one way this assumption could make the model inaccurate in a real shopping situation. [2]
Solutions
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