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Estimation Rounding and Significant Figures — Free MYP5 Mathematics (Extended) Practice Questions
1QuestionApproximations in Scientific and Everyday ContextsConcept Practice
2 marks~3 minCriterion A
State the formula for percentage error, where is the approximate value and is the exact value. [2]
Solutions
2QuestionSignificant Figures in MeasurementAssessment Practice
2 marks~3 minCriterion D
A construction worker measures a wooden beam as m using a tape marked every m.
a
State the number of significant figures in m and write the range within which the true length must lie. [1]
b
The worker cuts eight beams, each measured as m. Advise the site manager whether this tape measure is suitable for the project, given that the total length of all eight beams must be within m of the target value of m. [1]
Solutions
3QuestionEstimation Techniques in Mental MathAssessment Practice
3 marks~5 minCriterion C
A line graph shows the population of a town over 10 years. In 2010, the population was 48 700. In 2020, the population was 62 300.
a
Calculate the exact percentage increase in population from 2010 to 2020. [1]
b
Estimate the percentage increase by first rounding each population to the nearest thousand. Show your rounded values. [1]
c
A town planner claims the population grew by "roughly 27%." Assess whether the estimate from part (b) supports this claim, and justify your reasoning with reference to the size of the rounding errors relative to the populations involved. [1]
Solutions
4QuestionApproximations in Scientific and Everyday ContextsAssessment Practice
2 marks~3 minCriterion B
A student rounds each grocery item to the nearest dollar before totalling the bill.
Analyse the data to identify the relationship between the magnitude of the rounding error and the percentage error, and explain why this relationship exists using the percentage error formula. [2]
| Estimated price (dollars) | 25 | 32 | 41 | 18 |
|---|---|---|---|---|
| Actual price (dollars) | 25.45 | 31.50 | 39.80 | 17.75 |
| Rounding error (dollars) | −0.45 | 0.50 | 1.20 | 0.25 |
| Percentage error | −1.8% | 1.6% | 3.0% | 1.4% |
Analyse the data to identify the relationship between the magnitude of the rounding error and the percentage error, and explain why this relationship exists using the percentage error formula. [2]
Solutions
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