DP Mathematics HL Questionbank

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Directly related questions

• 18M.2.hl.TZ2.5b: Hence find the least value of \(n\) for which...
• 18M.2.hl.TZ2.5a: Express the binomial...
• 16M.1.hl.TZ2.6b: (i)     Show that \({n^3} - 9{n^2} + 14n = 0\). (ii)     Hence find the value of \(n\).
• 16M.1.hl.TZ2.6a: Write down the first four terms of the expansion.
• 16N.2.hl.TZ0.4: Find the constant term in the expansion of \({\left( {4{x^2} - \frac{3}{{2x}}} \right)^{12}}\).
• 17N.2.hl.TZ0.9c: Find the number of ways the students may be arranged if Helen and Nicky must not sit next to each...
• 17N.2.hl.TZ0.9b: Find the number of ways the students may be arranged if Helen and Nicky must sit so that one is...
• 17N.2.hl.TZ0.9a: Find the number of ways the twelve students may be arranged in the exam hall.
• 17N.1.hl.TZ0.10a: Show that the probability that Chloe wins the game is \(\frac{3}{8}\).
• 17N.1.hl.TZ0.4: Find the coefficient of \({x^8}\) in the expansion of \({\left( {{x^2} - \frac{2}{x}} \right)^7}\).
• 12M.2.hl.TZ2.4a: In how many ways can they be seated in a single line so that the boys and girls are in two...
• 12M.2.hl.TZ2.4b: Two boys and three girls are selected to go the theatre. In how many ways can this selection be...
• 13M.2.hl.TZ1.8b: Find the number of ways this can be done if the three girls must all sit apart.
• 13M.1.hl.TZ1.13b: (i)     Explain why the total number of possible outcomes for the results of the 6 games is...
• 13M.2.hl.TZ1.8a: Find the number of ways this can be done if the three girls must sit together.
• 10M.2.hl.TZ1.7: Three Mathematics books, five English books, four Science books and a dictionary are to be placed...
• 13M.2.hl.TZ2.11b: A number of distinct points are marked on the circumference of a circle, forming a polygon....
• 11N.3ca.hl.TZ0.2a: Show that \(n! \geqslant {2^{n - 1}}\), for \(n \geqslant 1\).
• 09M.2.hl.TZ2.8: Six people are to sit at a circular table. Two of the people are not to sit immediately beside...
• 14M.2.hl.TZ1.3: Find the number of ways in which seven different toys can be given to three children, if the...
• 15M.2.hl.TZ2.2b: Determine how many groups can be formed consisting of two males and two females.
• 15M.2.hl.TZ2.2c: Determine how many groups can be formed consisting of at least one female.
• 15M.2.hl.TZ2.2a: Determine how many possible groups can be chosen.
• 14N.1.hl.TZ0.10b: Find the number of selections Grace could make if at least two of the four integers drawn are even.
• 14N.1.hl.TZ0.10a: Find the number of selections Grace could make if the largest integer drawn among the four cards...