DP Mathematical Studies Questionbank

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• 18M.2.sl.TZ2.2g: The smallest distance travelled by one of the buses was 2500 km.The longest distance travelled by...
• 18M.2.sl.TZ2.2f: Find the value of m.
• 18M.2.sl.TZ2.2e: Find the number of buses that travelled a distance less than or equal to 12 000 km.
• 18M.2.sl.TZ2.2d: Write down the percentage of buses that travelled a distance greater than the upper quartile.
• 18M.2.sl.TZ2.2c: Hence write down the interquartile range.
• 18M.2.sl.TZ2.2b.iii: Use the cumulative frequency curve to find the upper quartile.
• 18M.2.sl.TZ2.2b.ii: Use the cumulative frequency curve to find the lower quartile.
• 18M.2.sl.TZ2.2b.i: Use the cumulative frequency curve to find the median distance.
• 18M.2.sl.TZ2.2a: Find the number of buses that travelled a distance between 15000 and 20000 kilometres.
• 17N.1.sl.TZ0.1b: Draw a box-and-whisker diagram, for these students’ ages, on the following grid.
• 17N.1.sl.TZ0.1a.ii: For the students in this group write down the median age.
• 17N.1.sl.TZ0.1a.i: For the students in this group find the mean age;
• 10M.1.sl.TZ1.9a: Complete the grouped frequency table for the students.      
• 10M.1.sl.TZ2.3a: Write down the median waiting time.
• 12N.1.sl.TZ0.5b: Find the number of students who were awarded grade C or better.
• 12N.1.sl.TZ0.5a: Find the number of students who failed the examination.
• 12N.1.sl.TZ0.5c: The top 20 % of the students are eligible for further study. Find the lowest mark required to be...
• 11N.2.sl.TZ0.1e: Consider the cumulative frequency table below. Draw a cumulative frequency graph for the...
• 11N.2.sl.TZ0.1c: Write down the number of vehicles whose speed is less than or equal to...
• 11N.2.sl.TZ0.1d: Consider the cumulative frequency table below. Write down the value of \(a\) , of \(b\) and of...
• 11N.2.sl.TZ0.1f: Use your cumulative frequency graph to estimate (i)     the median speed of the...
• 12N.1.sl.TZ0.11d: Find the number of years for which the annual snowfall was at least 18 cm.
• 11N.2.sl.TZ0.1g: All drivers whose vehicle’s speed is greater than one standard deviation above the speed limit of...
• 12M.2.sl.TZ2.3e: The results are represented in the cumulative frequency table below, with upper class boundaries...
• 12M.2.sl.TZ2.3f: The results are represented in the cumulative frequency table below, with upper class boundaries...
• 12M.2.sl.TZ2.3g: Use your graph from part (f) to estimate (i) the median; (ii) the 90th percentile of the...
• 09N.1.sl.TZ0.5a: Write down the median height of the students.
• 09N.1.sl.TZ0.5b: Write down the 25th percentile.
• 09N.1.sl.TZ0.5c: Write down the 75th percentile.
• 09M.2.sl.TZ1.1b: Find the number of men who take more than 11 seconds to perform the task.
• 09M.2.sl.TZ1.1c: 55 % of the men took less than p seconds to perform the task. Find p.
• 09M.2.sl.TZ1.1a, i: Use the diagram to estimate the median time.
• 13M.1.sl.TZ1.4a: Write down the median height of the trees.
• 13M.1.sl.TZ1.4b: Write down the 75th percentile.
• 13M.1.sl.TZ1.4c: Find the interquartile range.
• 13M.1.sl.TZ1.4d: Estimate the number of trees that are more than 40 cm in height.
• 13M.1.sl.TZ2.4a: Write down the value of (i) t ; (ii) w .
• 13M.1.sl.TZ2.4b: Indicate with a tick () whether the following statements are True or False.
• 08N.1.sl.TZ0.3a: Write down the median height of the trees.
• 08N.1.sl.TZ0.3b: Calculate the interquartile range of the heights of the trees.
• 08M.1.sl.TZ2.13a: Write down the median length of hair in the sample.
• 08M.1.sl.TZ2.13b: Find the interquartile range for the length of hair in the sample.
• 09M.2.sl.TZ1.1a, ii: Use the diagram to estimate the upper quartile and the lower quartile.
• 14M.2.sl.TZ2.3d: The information above has been rewritten as a cumulative frequency table. Write down the value...
• 14M.2.sl.TZ2.3e: This information is shown in the following cumulative frequency graph. For the people who were...
• 13N.1.sl.TZ0.4a: Find the median distance travelled by the cars.
• 13N.1.sl.TZ0.4b: Calculate the interquartile range of the distance travelled by the cars.
• 13N.1.sl.TZ0.4c: Find the number of cars that travelled more than \(130\) km.
• 14M.1.sl.TZ1.6a: Write down the number of cars passing the camera with speed of less than or equal to 50...
• 15M.2.sl.TZ1.3b: Find the median speed of the vehicles.
• 15M.2.sl.TZ1.3d: Calculate the interquartile range.
• 15M.2.sl.TZ1.3a: Estimate the minimum possible speed of one of these vehicles passing the hospital gate.
• 15M.2.sl.TZ1.3c: Write down the \({75^{{\text{th}}}}\) percentile.
• 15M.2.sl.TZ1.3e: The speed limit past the hospital gate is \(50{\text{ km}}\,{{\text{h}}^{ - 1}}\). Find the...
• 15M.2.sl.TZ1.3i: It is proposed that the speed limit past the hospital gate is reduced to...
• 14N.1.sl.TZ0.1c: Find the percentage of students who spend (i)     between 100 and 140 minutes per day on their...