DP Mathematical Studies Questionbank

Basic concepts of set theory: elements x∈A, subsets A⊂B; intersection A∩B; union A∪B; complement A′ .
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[N/A]Directly related questions
- 18M.2.sl.TZ2.1e: Find n((C∪B)∩P′).
- 18M.2.sl.TZ2.1d: Find the number of employees who, in the last year, did not travel to work by car, bicycle or...
- 18M.2.sl.TZ2.1c.ii: Find the value of y.
- 18M.2.sl.TZ2.1c.i: Find the value of x.
- 18M.2.sl.TZ2.1b.iii: Use the tree diagram to find the probability that an employee encountered traffic given that they...
- 18M.2.sl.TZ2.1b.ii: Use the tree diagram to find the probability that an employee was late for work.
- 18M.2.sl.TZ2.1b.i: Use the tree diagram to find the probability that an employee encountered traffic and was late...
- 18M.2.sl.TZ2.1a.ii: Write down the value of b.
- 18M.2.sl.TZ2.1a.i: Write down the value of a.
- 18M.1.sl.TZ2.9b.ii: Shade, on the Venn diagram, the region represented by the set J∩K.
- 18M.1.sl.TZ2.9b.i: Shade, on the Venn diagram, the region represented by the set (H∪I)′.
- 18M.1.sl.TZ2.9a.iii: Write down an expression, in set notation, for the shaded region represented by Diagram 3.
- 18M.1.sl.TZ2.9a.ii: Write down an expression, in set notation, for the shaded region represented by Diagram 2.
- 18M.1.sl.TZ2.9a.i: Write down an expression, in set notation, for the shaded region represented by Diagram 1.
- 17N.1.sl.TZ0.7c: Determine whether the events S and M are independent.
- 17N.1.sl.TZ0.7b: One of the students who joined the sports club is chosen at random. Find the probability that...
- 17N.1.sl.TZ0.7a: Complete the Venn diagram for these students.
- 17M.1.sl.TZ2.2b: Complete the Venn diagram using the above information.
- 16N.2.sl.TZ0.6f: Using your answer to part (e), find the value of r which minimizes A.
- 10M.1.sl.TZ2.8b: Find P(A|B).
- 10M.1.sl.TZ2.8a: Find P(A∩B).
- 11N.1.sl.TZ0.5c: In the Venn diagram below, set A represents the people in the group with Australian passports and...
- 11N.1.sl.TZ0.5a: Find the number that have both Australian and British passports.
- 10N.1.sl.TZ0.9a.i: List the elements of the following set. A
- 10N.1.sl.TZ0.9b: Write down one element of (A∪B)′.
- 10N.1.sl.TZ0.9c: One of the statements in the table below is false. Indicate with an X which statement is false....
- 12N.2.sl.TZ0.2c: Write down n[T∩(C∪I)′].
- 12M.1.sl.TZ2.4c: Explain, in words, the meaning of the part of the diagram that represents the set P∩F′.
- 09N.2.sl.TZ0.2A, d: Write down n(B∪C).
- 09M.2.sl.TZ1.2ii, a: Write down n(R∩S∩B).
- 09M.2.sl.TZ1.2ii, c: Describe which groups the pupils in the set S∩B like.
- 11M.2.sl.TZ1.2A.e: Find n[(S∪P)∩A′].
- 11M.1.sl.TZ2.1a: Write down the number of elements in A∩C .
- 13M.1.sl.TZ1.2a: List the elements of (i) U ; (ii) B .
- 07M.1.sl.TZ0.7a: List the members of sets (i) B (ii) C∩B (iii) B∪C′
- 07M.2.sl.TZ0.5ii.b: Find (i) n(M∩W) (ii) n(M′∪S)
- 07N.1.sl.TZ0.2a: List the elements of the following sets: A,
- 07N.1.sl.TZ0.2b: List the elements of the following sets: B,
- 07N.1.sl.TZ0.2c: List the elements of the following sets: A∪B ,
- 07N.1.sl.TZ0.2d: List the elements of the following sets: A∩B′ .
- 08N.1.sl.TZ0.9c: Write down the number of pupils that do not study Physics.
- 08N.1.sl.TZ0.9d: Find n[(P∪B)∩C] .
- 08M.1.sl.TZ2.9a: Shade (A∪B)∩C′ on the diagram below.
- 10N.1.sl.TZ0.9a.ii: List the elements of the following set. A∩B′
- 13N.1.sl.TZ0.2c: Complete the Venn diagram with all the elements of U.
- 13N.2.sl.TZ0.3a: Draw a Venn diagram, using sets labelled E, S and A, to show this information.
- 13N.2.sl.TZ0.3b: Calculate the value of x.
- 13N.2.sl.TZ0.3c: Explain, in words, the meaning of (E∪S)∩A′.
- 13N.2.sl.TZ0.3d: Write down n((E∪S∪A)′).
- 14M.2.sl.TZ1.2b: There were 25 tourists in the group and every tourist saw at least one of the three types of...
- 15M.1.sl.TZ1.8a: Complete the Venn diagram with the numbers written on Aleph’s die (A) and Beth’s die (B).
- 15M.1.sl.TZ1.8b: Find n(B∩A′).
- 15M.1.sl.TZ2.6: Consider the following Venn diagrams. Each diagram is shaded differently. In the following...
- 15M.2.sl.TZ2.1a: Copy the following Venn diagram and correctly insert all values from the above information.
- 15M.2.sl.TZ2.1e: The number of customers that like only mangoes is equal to the number of customers that like only...
- 15M.2.sl.TZ2.1f: The number of customers that like only mangoes is equal to the number of customers that like only...
- 15M.2.sl.TZ2.1b: The number of customers that like only mangoes is equal to the number of customers that like only...
- 15M.2.sl.TZ2.1c: The number of customers that like only mangoes is equal to the number of customers that like only...
- 15M.2.sl.TZ2.1d: The number of customers that like only mangoes is equal to the number of customers that like only...
- 14N.1.sl.TZ0.8b: State which polygons from Tuti’s list are elements of (i) A∩B; (ii) ...
- 14N.1.sl.TZ0.8a: Complete the Venn diagram by placing the letter corresponding to each polygon in the appropriate...