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Finding Missing Data with Given Averages — Free MYP1 Mathematics Practice Questions
1QuestionUsing the Mean to Find a Missing ValueConcept Practice
2 marks~3 minCriterion A
Three rectangles have a mean perimeter of 24 cm. Two of the rectangles have perimeters of 20 cm and 26 cm. The third rectangle has a width of 5 cm.
a
Calculate the perimeter of the third rectangle. [1]
b
Calculate the length of the third rectangle. [1]
Solutions
2QuestionSolving Problems with Given Total and FrequencyConcept Practice
2 marks~3 minCriterion D
A teacher recorded how many students came to class each day for 5 days. The total number of students present across all 5 days was 120. On one of those days, almost everyone was on a field trip and only 10 students were in class.
a
Identify one reason why a school might want to know the mean daily attendance. [1]
b
Describe how the field trip day affects the mean, and why this makes the mean less useful for planning. [1]
Solutions
3QuestionCreating Balanced Data SetsConcept Practice
2 marks~3 minCriterion B
Each data set below has three numbers. In every set, the mean equals the middle number.
Set A:
Set B:
Set C:
Set A:
Set B:
Set C:
a
Calculate the missing number in one of the sets above. [1]
b
Describe the rule that connects the missing number to the other two numbers in the set. [1]
Solutions
4QuestionWord Problems Involving Unknowns in Data SetsConcept Practice
2 marks~3 minCriterion C
The mean of the four numbers 4, 7, , and 10 is 7.
a
Write an equation using algebra to show this. [1]
b
In one sentence, describe what each part of your equation means. [1]
Solutions
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