DP Mathematics SL Questionbank

• Syllabus

5.1

Sub sections and their related questions

Concepts of population, sample, random sample, discrete and continuous data.

• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...

Presentation of data: frequency distributions (tables); frequency histograms with equal class intervals

• 08N.2.sl.TZ0.3c: Complete the frequency table below.
• 08M.2.sl.TZ1.1a(i) and (ii): (i)     Write down the value of p. (ii)    Find the value of q.
• 08M.1.sl.TZ2.1a: Calculate the value of k.
• 12M.1.sl.TZ1.1a: Find p .
• 12M.1.sl.TZ1.1b(i) and (ii): The cumulative frequency diagram is given below. Use the diagram to estimate (i)     the 80th...
• 12M.2.sl.TZ1.8a(i) and (ii): (i)     Write down the value of p and of q . (ii)    Write down the median class.
• 12M.2.sl.TZ1.8b: A child is selected at random. Find the probability that the child takes less than 95 seconds to...
• 12M.2.sl.TZ1.8c(i) and (ii): Consider the class interval \(45 \le T < 55\) . (i)     Write down the interval...
• 12M.2.sl.TZ1.8d(i) and (ii): Hence find an estimate for the (i)     mean; (ii)    standard deviation.
• 12M.2.sl.TZ1.8e: John assumes that T is normally distributed and uses this to estimate the probability that a...
• 09M.2.sl.TZ1.8a: Calculate an estimate for the standard deviation of the lengths of the fish.
• 10N.2.sl.TZ0.1a: Write down the standard deviation.
• 10N.2.sl.TZ0.1b: Write down the median score.
• 10N.2.sl.TZ0.1c: Find the interquartile range.
• 10M.2.sl.TZ1.4a: Find the value of x.
• 10M.2.sl.TZ1.4b: Write down the standard deviation.
• 10M.2.sl.TZ2.1a(i) and (ii): Find the value of (i)     p ; (ii)    q .
• 10M.2.sl.TZ2.1b: Find the mean grade.
• 10M.2.sl.TZ2.1c: Write down the standard deviation.
• 13M.2.sl.TZ1.2a: Find the value of \(p\) .
• 13M.1.sl.TZ2.8a: Find the value of \(p\) and of \(q\) .
• 13M.1.sl.TZ2.8c: A girl is selected for the competition if she takes less than \(x\) minutes to complete the...
• 14M.2.sl.TZ1.8b(i): The same data is presented in the following table. Weights...
• 14M.2.sl.TZ1.8b(ii): The same data is presented in the following...
• 14N.2.sl.TZ0.8c: The \(2000\) families live in two different types of housing. The following table gives...
• 16M.1.sl.TZ1.8a: Find the median number of cans collected.
• 16M.1.sl.TZ1.8b: (i)     Write down the value of \(a\). (ii)     The interquartile range is 14. Find the value...
• 16M.1.sl.TZ1.8c: Sam’s class collected 745 cans. They want an average of 40 cans per student. How many more cans...
• 16M.1.sl.TZ1.8d: The students raise $0.10 for each recycled can. (i)     Find the largest amount raised by a...
• 16M.1.sl.TZ1.8e: (i)     Write down the new mean. (ii)     Write down the new standard deviation.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...

Box-and-whisker plots; outliers.

• 12N.1.sl.TZ0.8a(i) and (ii): (i)     Write down the median weekly wage. (ii)    Find the interquartile range of the weekly...
• 12N.1.sl.TZ0.8b(i), (ii), (iii): The box-and-whisker plot below displays the weekly wages of the employees. Write down the...
• 12N.1.sl.TZ0.8c: Employees are paid \($\ 20\) per hour. Find the median number of hours worked per week.
• 12N.1.sl.TZ0.8d: Employees are paid \(\$ 20\) per hour. Find the number of employees who work more than \(25\)...
• 09M.2.sl.TZ2.1a: Write down the median value.
• 09M.2.sl.TZ2.1b: Find the value of (i)     \(a\) ; (ii)    \(b\) .
• 11M.1.sl.TZ2.6a: Find the range of the lengths of all 200 fish.
• 11M.1.sl.TZ2.6b: Four cumulative frequency graphs are shown below. Which graph is the best representation of...
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...

Grouped data: use of mid-interval values for calculations; interval width; upper and lower interval boundaries; modal class.

• 09M.2.sl.TZ1.8a: Calculate an estimate for the standard deviation of the lengths of the fish.
• 14N.2.sl.TZ0.8e: Estimate the mean monthly income for families living in a villa.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...