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Simple Percentages — Free MYP2 Mathematics Practice Questions
1QuestionFinding a Percentage of a QuantityConcept Practice
2 marks~3 minCriterion A
A rectangle is divided into 100 equal squares. Exactly 42 of these squares are shaded.
a
Calculate the percentage of the rectangle that is shaded. Show your working. [1]
b
Calculate the value of of . Show your working. [1]
Solutions
2QuestionSolving Percentage Increase and Decrease ProblemsAssessment Practice
2 marks~3 minCriterion C
A video game costs 40 dollars. A store applies a 25% discount, then adds 8% sales tax (a government charge on the sale price).
a
Calculate the final price the customer pays. Show each step clearly. [1]
b
Explain why using a single percentage change of −17% does not give the same final price. [1]
Solutions
3QuestionApplications of Compound Interest and DepreciationConcept Practice
2 marks~3 minCriterion B
An investment of 100 dollars grows at a compound interest rate (interest calculated on the growing total each year) of per year.
| Year | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Value (dollars) | 105.00 | 110.25 | 115.76 | 121.55 |
a
Describe the pattern in the values from one year to the next. [1]
b
Calculate the predicted value of the investment at the end of Year 5. Show your working. [1]
Solutions
4QuestionFinding a Percentage of a QuantityAssessment Practice
4 marks~6 minCriterion D
A school surveyed 240 students about their preferred lunch option. The results showed that 65% preferred Option A. On the day of the survey, 150 students actually chose Option A in the cafeteria.
a
Calculate the number of students the survey predicted would choose Option A. [2]
b
Compare the predicted number with the actual number, and explain one reason for the difference. [2]
Solutions
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