Estimation Rounding and Significant Figures
You're viewing free preview questions — 4 questions previewing here — subscribe to unlock 62 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Estimation Rounding and Significant Figures — Free MYP4 Mathematics (Standard) Practice Questions

1QuestionUse of Estimation in Checking ResultsAssessment Practice
2 marks~3 minCriterion C
A surveyor is mapping a triangular plot of land, triangle ABCABC. The angle at vertex AA measures ∠BAC=110°\angle BAC = 110°. The diagram shows that ∠ABC\angle ABC is visibly smaller than ∠ACB\angle ACB.
a
Deduce the combined size of ∠ABC\angle ABC and ∠ACB\angle ACB, showing your working. [1]
b
Estimate the size of ∠ABC\angle ABC, justifying your answer using the diagram and your result from part (a). [1]
Question diagram

Solutions

2QuestionSignificant Figures in MeasurementAssessment Practice
8 marks~12 minCriterion D
A pharmacist must administer a dose of 2.4875 mL2.4875 \, \text{mL} using a syringe graduated to the nearest 0.1 mL0.1 \, \text{mL}. The patient's safe dosage range is 2.4 mL2.4 \, \text{mL} to 2.6 mL2.6 \, \text{mL}.
a
State the value of 2.4875 mL2.4875 \, \text{mL} rounded to one, two, and three significant figures. [3]
b
Analyse whether each rounded value from part (a) falls within the safe dosage range, and explain why one of the three values is impractical to measure with this syringe. [2]
c
Advise the pharmacist which rounded value to administer, justifying your recommendation in terms of both the syringe's precision and patient safety. [3]
Question diagram

Solutions

3QuestionRounding Large and Small NumbersAssessment Practice
2 marks~3 minCriterion B
A scientist records a measurement as 12345.6712345.67 metres.

The table below shows this value rounded to increasing numbers of significant figures.

11 sig. fig.: 10 00010\,000
22 sig. fig.: 12 00012\,000
33 sig. fig.: 12 30012\,300
44 sig. fig.: 12 35012\,350
55 sig. fig.: 12 34612\,346
66 sig. fig.: 12 345.712\,345.7

Analyse the pattern in the table and describe the general rule for rounding a number to nn significant figures. [2]

Solutions

4QuestionRounding Large and Small NumbersAssessment Practice
5 marks~8 minCriterion A
A spherical water storage tank has a radius of 1.234×1021.234 \times 10^2 metres. A civil engineer must verify whether the tank can hold at least 7.90×106 m37.90 \times 10^6 \ \text{m}^3 of water to meet regional supply requirements.

The volume of a sphere is given by

V=43πr3V = \frac{4}{3}\pi r^3
a
Calculate the volume of the tank in m3\text{m}^3. Express your answer in scientific notation. [2]
b
Round your answer from part (a) to three significant figures, expressing your result in scientific notation. [1]
c
Advise the engineer whether this tank is suitable for the regional supply requirement, justifying your advice with a numerical comparison. [2]

Solutions

Questions 5-66

Unlock these questions with Premium

Sign Up →

That's every free question here — 4 of 66.

+62 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade