IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Static and Probability–Relative frequency
Topic :Static and Probability- Weightage : 21 %
All Questions for Topic : Sampling techniques,Data manipulation and misinterpretation,Graphical representations (including: bivariate graphs, scatter graphs, box plots, cumulative frequency graphs)
,Lines of best fit,Data processing: quartiles and percentiles,Measures of dispersion: interquartile range,Correlation, qualitative handling,Relative frequency,Response rates,Sets, including notation and operations up to three sets,Probability with Venn diagrams, tree diagrams and sample spaces,Mutually exclusive events,Combined events
Question (14 marks)
Body temperature changes during the day. The graph below shows a cosine curve modelling the body temperature for Ingrid.
$\mathrm{B}$ is the temperature in degrees Celsius $\left({ }^{\circ} \mathrm{C}\right)$
$t$ is the time in hours after midnight.
Ingrid knows it is best to sleep for 8 to 10 hours when her body temperature is $36.5^{\circ} \mathrm{C}$ or below.
Question (a) : 1 marks
Suggest a sleeping schedule for Ingrid.
▶️Answer/Explanation
Ans:
8 to 10 hours within the interval 6 pm to 6 am
Question (b) : 2 marks
Write down the time when Ingrid’s body temperature is at a maximum and a minimum.
▶️Answer/Explanation
Ans:
Maximum at 12:00 pm
Minimum at 12:00 am