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.
• 18M.2.sl.TZ1.2g: Given that this flight was not heavily delayed, find the probability that it travelled between...
• 18M.1.sl.TZ1.2b.ii: Find the interquartile range.
• 18M.1.sl.TZ1.2b.i: Find the standard deviation
• 18M.1.sl.TZ1.2a: Find the value of x.
• 17N.2.sl.TZ0.1g: State the result of the test. Give a reason for your answer.
• 17N.2.sl.TZ0.1f.ii: Write down the \({\chi ^2}\) statistic.
• 17N.2.sl.TZ0.1f.i: Write down the \(p\)-value for the test;
• 17N.2.sl.TZ0.1e.ii: Write down the number of degrees of freedom.
• 17N.2.sl.TZ0.1e.i: Write down the null hypothesis for this test;
• 17N.2.sl.TZ0.1d: Find the expected frequency of students choosing the Science category and obtaining 31 to 40...
• 17N.2.sl.TZ0.1c.ii: Use your graphic display calculator to estimate the standard deviation of \(N\).
• 17N.2.sl.TZ0.1c.i: Use your graphic display calculator to estimate the mean of \(N\);
• 17N.2.sl.TZ0.1b.ii: Write down, for \(N\), the mid-interval value of the modal class.
• 17N.2.sl.TZ0.1b.i: Write down, for \(N\), the modal class;
• 17N.2.sl.TZ0.1a: State whether \(N\) is a discrete or a continuous variable.
• 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;
• 17M.2.sl.TZ1.5f.ii: Calculate the expected number of students that spent at least 90 minutes preparing for the test.
• 17M.2.sl.TZ1.5f.i: Calculate the probability that a student chosen at random spent at least 90 minutes preparing for...
• 17M.2.sl.TZ1.5e: Given that the first student chosen at random scored a grade 5 or higher, find the probability...
• 16M.1.sl.TZ1.3b: The lower quartile of these scores is 40. Find the interquartile range.
• 16M.1.sl.TZ1.3a: In a school 160 students sat a mathematics examination. Their scores, given as marks out of 90,...
• 16N.1.sl.TZ0.2a: Giving your answer to one decimal place, write down the value of (i)     the median level of...
• 10M.1.sl.TZ2.3b: Find the interquartile range for the waiting time.
• 11N.1.sl.TZ0.2c: Write down the standard deviation.
• 11N.1.sl.TZ0.2d: Find the interquartile range.
• 10N.1.sl.TZ0.7c: Find the weight that is 3 standard deviations below the mean.
• 11N.2.sl.TZ0.1b: Use your graphic display calculator to find an estimate for (i)     the mean speed of the...
• 11N.2.sl.TZ0.1g: All drivers whose vehicle’s speed is greater than one standard deviation above the speed limit of...
• 12N.2.sl.TZ0.1a: (i) Write down the mean score in Round 1. (ii) Write down the standard deviation in Round...
• 12M.1.sl.TZ1.5c: Find the interquartile range.
• 12M.2.sl.TZ2.3d: Use your graphic display calculator to find an estimate for (i) the mean; (ii) the standard...
• 09N.2.sl.TZ0.4A, a, i: Use your graphic display calculator to find the mean number of trees.
• 11M.1.sl.TZ1.2b: Use your graphic display calculator to find(i)     the mean number of fillings;(ii)    the median...
• 09M.1.sl.TZ1.1b: Calculate the interquartile range for the number of inhabitants per house.
• 11M.1.sl.TZ1.14c: Estimate the number of males who weigh between \(61\) kg and \(66\) kg.
• 11M.1.sl.TZ1.14b: Calculate the interquartile range.
• 09M.2.sl.TZ1.1f: Everyone who performs the task in less than one standard deviation below the mean will receive a...
• 13M.1.sl.TZ1.4c: Find the interquartile range.
• 13M.1.sl.TZ1.8b: Calculate the range.
• SPM.2.sl.TZ0.1b: Using your graphic display calculator, write down the value of(i)     the mean;(ii)    the...
• SPM.2.sl.TZ0.1c: Find the interquartile range.
• 07M.2.sl.TZ0.1c: (i) Write down an estimate for the standard deviation of the lengths. (ii) How many fish (if...
• 08N.1.sl.TZ0.3b: Calculate the interquartile range of the heights of the trees.
• 08N.1.sl.TZ0.6d: Write down an estimate of the standard deviation of their weights.
• 08M.1.sl.TZ1.2b: Find the interquartile range for the ages.
• 08M.1.sl.TZ1.4a: Complete the following table of values for the height and weight of seven students.
• 08M.1.sl.TZ2.5c: Write down the standard deviation of the number of bedrooms per house.
• 08M.1.sl.TZ2.5d: Find how many houses have a number of bedrooms greater than one standard deviation above the mean.
• 08M.1.sl.TZ2.13b: Find the interquartile range for the length of hair in the sample.
• 09M.1.sl.TZ1.1a, iv: The standard deviation is \(1.4\) correct to \(2\) significant figures.
• 09M.2.sl.TZ1.1a, iii: Use the diagram to estimate the interquartile range.
• 09M.2.sl.TZ1.1e, ii: Use your graphic display calculator to find an estimate of the standard deviation of the time.
• 09N.2.sl.TZ0.1A, a, ii: Use your graphic display calculator to find the standard deviation of the number of trees.
• 09N.2.sl.TZ0.4A, a, iv: Use your graphic display calculator to find the standard deviation of the depth of snow.
• 08M.2.sl.TZ1.3a: Write down (i)     the mean temperature; (ii)    the standard deviation of the temperatures.
• 10N.1.sl.TZ0.5a.iii: Write down the range of marks.
• 10N.1.sl.TZ0.7b.ii: Use your graphic display calculator to find an estimate for the standard deviation.
• 14M.1.sl.TZ2.5c: Find the interquartile range.
• 13N.1.sl.TZ0.1c: Use your graphic display calculator to find (i)     the mean number of passengers per car; (ii)...
• 13N.1.sl.TZ0.4b: Calculate the interquartile range of the distance travelled by the cars.
• 14M.1.sl.TZ1.2c: For these grades, find the upper quartile;
• 14M.1.sl.TZ1.2d: For these grades, find the interquartile range.
• 14M.1.sl.TZ1.6d: Use your graphic display calculator to find an estimate of (i)     the mean speed of the cars...
• 15M.1.sl.TZ1.2b: Calculate the interquartile range.
• 15M.2.sl.TZ1.3h: The table shows the speeds of these vehicles travelling past the hospital gate. Use your...
• 15M.2.sl.TZ1.3d: Calculate the interquartile range.
• 15M.2.sl.TZ2.4a: Using your graphic display calculator, write down the value of (i)     the mean of the diameters...
• 14N.1.sl.TZ0.1a: Find (i)     the longest amount of time spent on homework per day; (ii)     the interquartile...
• 14N.1.sl.TZ0.3c: Calculate (i)     the mean number of eggs laid; (ii)     the standard deviation.
• 17M.2.sl.TZ1.5d: Find the probability that this student scored a grade 5 or higher.
• 17M.2.sl.TZ1.5c: Find the interquartile range.
• 17M.2.sl.TZ1.5b: Find the median test grade of the students.
• 17M.2.sl.TZ1.5a.ii: Calculate the standard deviation.
• 17M.2.sl.TZ1.5a.i: Calculate the mean test grade of the students;