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Introduction to Variables and Constants — Free MYP1 Mathematics Practice Questions
1QuestionUnderstanding the Use of Letters in MathConcept Practice
4 marks~6 minCriterion A
A fruit stall sells pears and apples. There are 12 more apples than pears. The total number of fruits is 50. Let = number of pears and = number of apples.
a
State one equation that shows the total number of fruits. [1]
b
State one equation that links the number of apples to the number of pears. [1]
c
Calculate the number of pears and the number of apples. Show your working. [2]
Solutions
2QuestionBuilding Expressions from Verbal DescriptionsAssessment Practice
4 marks~6 minCriterion D
A baker uses the expression to find the total cost in dollars for making cakes and muffins.
a
Identify the constant in the expression . [1]
b
Calculate the total cost for 4 cakes and 6 muffins using . [1]
c
The cost per cake can go up or down by 1 dollar each day. Describe one way the expression is limited and one way the baker could change it to give a better estimate. [2]
Solutions
3QuestionDefining Constants and CoefficientsConcept Practice
4 marks~6 minCriterion C
A student uses this equation to work out their weekly allowance:
where is the number of chores completed, and all amounts are in dollars.
where is the number of chores completed, and all amounts are in dollars.
a
Name what the number represents in this equation. [1]
b
Describe what the number tells you about how the allowance is calculated. [1]
c
The student says this equation works for any number of chores. Describe one way the equation for a friend's allowance could be different, and explain why. [2]
Solutions
4QuestionBuilding Expressions from Verbal DescriptionsConcept Practice
6 marks~9 minCriterion B
A gardener plants trees in rows. Row 1 has 3 trees, Row 2 has 5 trees, and Row 3 has 7 trees. Each row has 2 more trees than the row before it.
a
Identify the number of trees in Row 4 and Row 5. [2]
b
Describe, in one sentence, the rule that connects the row number to the number of trees in that row. [2]
c
Calculate the number of trees in Row 10 using the expression . [2]
Solutions
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