Date | November 2016 | Marks available | 5 | Reference code | 16N.1.sl.TZ0.3 |
Level | SL only | Paper | 1 | Time zone | TZ0 |
Command term | Indicate | Question number | 3 | Adapted from | N/A |
Question
The following Venn diagram shows the sets A, B, C and U.
x is an element of U.
In the table indicate whether the given statements are True or False.
[5]
a.
On the Venn diagram, shade the region A∩(B∪C)′.
[1]
b.
Markscheme
(A1)(A1)(A1)(A1)(A1) (C5)
[5 marks]
a.
(A1) (C1)
[1 mark]
b.
Examiners report
[N/A]
a.
[N/A]
b.
Syllabus sections
Show 157 related questions
- 10N.2.sl.TZ0.1A.c: Write down the percentage of students who had fruit for breakfast.
- 10N.2.sl.TZ0.1A.e: Find the probability that a student had at least two of the three choices for breakfast.
- 09M.2.sl.TZ1.2ii, d: Use set notation to describe the group of pupils who like the Rockers and the Bluers but do...
- 09M.2.sl.TZ2.1a: Draw a Venn diagram to represent this information.
- 13M.2.sl.TZ1.2c: There are 22 Economics students in total. (i) Calculate the number of students who study...
- 13M.2.sl.TZ2.1b: Find the number of families who (i) went to the circus only; (ii) went to the museum and...
- 07M.2.sl.TZ0.5ii.b: Find (i) n(M∩W) (ii) n(M′∪S)
- 08N.1.sl.TZ0.9a: Write down the number of pupils that study Chemistry only.
- 13N.1.sl.TZ0.2a: List the elements of 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.TZ2.6: Consider the following Venn diagrams. Each diagram is shaded differently. In the following...
- 15M.1.sl.TZ1.8b: Find n(B∩A′).
- 15M.2.sl.TZ2.1e: The number of customers that like only mangoes is equal to the number of customers that like...
- 17M.1.sl.TZ1.4b: Determine whether rock-climbing is offered by the school in the fall/autumn trimester.
- 17M.1.sl.TZ2.2b: Complete the Venn diagram using the above information.
- 17M.1.sl.TZ2.2c: Find the number of children who play only football.
- 18M.1.sl.TZ2.9a.i: Write down an expression, in set notation, for the shaded region represented by Diagram 1.
- 18M.2.sl.TZ2.1c.ii: Find the value of y.
- 11N.1.sl.TZ0.5b: In the Venn diagram below, set A represents the people in the group with Australian passports...
- 11N.1.sl.TZ0.5c: In the Venn diagram below, set A represents the people in the group with Australian passports...
- 11N.1.sl.TZ0.5a: Find the number that have both Australian and British passports.
- 10N.1.sl.TZ0.9c: One of the statements in the table below is false. Indicate with an X which statement is...
- 10N.2.sl.TZ0.1A.b: Find the number of students who had none of the three choices for breakfast.
- 10N.2.sl.TZ0.1A.d: Describe in words what the students in the set X∩Y′ had for breakfast.
- 12M.2.sl.TZ1.1e: A local radio station states that 83 % of the population reads either The Beartown News or...
- 09N.1.sl.TZ0.14b: Find the probability that a student studies Spanish given that she studies one language only.
- 13M.2.sl.TZ1.2a: Draw a Venn diagram to represent the information above.
- 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.TZ0.2d: List the elements of the following sets: A∩B′ .
- 07N.1.sl.TZ0.8a: Enter the above information on the Venn diagram below.
- 08N.1.sl.TZ0.9b: Write down the number of pupils that study exactly two sciences.
- 14M.1.sl.TZ2.3a: 4
- 16M.2.sl.TZ2.1d: Given that the person had used only one type of transport in the last year, find...
- 17M.1.sl.TZ2.2d: Write down the value of n(F).
- 18M.1.sl.TZ1.10c: Write down the value of n((F∪H)∩S′).
- 18M.2.sl.TZ2.1a.ii: Write down the value of b.
- 18M.2.sl.TZ2.1b.ii: Use the tree diagram to find the probability that an employee was late for work.
- 10M.1.sl.TZ1.2: The sets P, Q and U are defined as U = {Real Numbers} , P = {Positive Numbers}...
- 10M.1.sl.TZ2.8b: Find P(A|B).
- 10N.1.sl.TZ0.9b: Write down one element of (A∪B)′.
- 12N.2.sl.TZ0.2c: Write down n[T∩(C∪I)′].
- 12M.2.sl.TZ1.1c: Find the percentage of the population that reads exactly one newspaper.
- 09N.1.sl.TZ0.14a: Draw a Venn diagram in the space below to illustrate this information.
- SPM.2.sl.TZ0.5a: Represent this information on a Venn Diagram.
- 08M.1.sl.TZ2.9a: Shade (A∪B)∩C′ on the diagram below.
- 13N.2.sl.TZ0.3c: Explain, in words, the meaning of (E∪S)∩A′.
- 15M.2.sl.TZ2.1b: The number of customers that like only mangoes is equal to the number of customers that like...
- 14N.1.sl.TZ0.8a: Complete the Venn diagram by placing the letter corresponding to each polygon in the...
- 16N.2.sl.TZ0.2d: Find the probability that this person (i) went on at most one trip; (ii) went on...
- 17N.1.sl.TZ0.7b: One of the students who joined the sports club is chosen at random. Find the probability that...
- 18M.1.sl.TZ1.10a: Complete the Venn diagram using the given information.
- 18M.2.sl.TZ2.1a.i: Write down the value of a.
- 12M.2.sl.TZ1.1b: Find the percentage of the population that does not read any of the three newspapers.
- 12M.2.sl.TZ1.1d: Find the percentage of the population that reads The Art Journal or The Beartown News but not...
- 12M.2.sl.TZ1.1a: Draw a Venn diagram to represent this information. Label A the set that represents The Art...
- 12M.1.sl.TZ2.4a: Write down the total number of students in the school.
- 09N.2.sl.TZ0.2A, d: Write down n(B∪C).
- 09M.2.sl.TZ1.2ii, a: Write down n(R∩S∩B).
- 11M.2.sl.TZ1.2A.b: There were 48 customers of Pete’s Eats that day. Calculate the number of people who were...
- 09M.2.sl.TZ2.1b: Find the number of families who own no pets.
- 07M.2.sl.TZ0.5ii.a: Complete the diagram, using the information given in the question.
- 07N.1.sl.TZ0.8b: 99 of the students play basketball, 88 sing in the choir and 110 do drama. Calculate the...
- 14M.1.sl.TZ2.3d: 0.38
- 14M.1.sl.TZ2.3e: √5
- 15M.2.sl.TZ2.1c: The number of customers that like only mangoes is equal to the number of customers that like...
- 18M.1.sl.TZ2.9b.i: Shade, on the Venn diagram, the region represented by the set \(\left( {H \cup I}...
- 18M.1.sl.TZ2.9b.ii: Shade, on the Venn diagram, the region represented by the set J∩K.
- 18M.2.sl.TZ2.1e: Find n((C∪B)∩P′).
- 10N.2.sl.TZ0.1A.a: Represent this information on a Venn diagram.
- 12N.2.sl.TZ0.2a: Draw a Venn diagram to show this information. Use T to represent the set of students who have...
- 09N.1.sl.TZ0.2: The Venn diagram shows the number sets N, Z, Q and...
- 09N.2.sl.TZ0.2A, a: Copy and complete the Venn diagram on your answer paper.
- 11M.2.sl.TZ1.2A.d: Write down the number of customers of Alan’s Diner that were also customers of Pete’s Eats.
- 11M.2.sl.TZ1.2A.c: There were 50 customers of Sarah’s Snackbar that day. Calculate the total number of people...
- 11M.1.sl.TZ2.1c: Complete the following Venn diagram with all the elements of U .
- 13M.2.sl.TZ1.2b: Write down the number of students who study Music but not Economics.
- 08M.2.sl.TZ1.2i.a: Represent this information on a Venn diagram.
- 08M.2.sl.TZ1.2i.b: Calculate the number of students who own none of the items mentioned above.
- 09M.2.sl.TZ1.2ii, e, ii: There are 33 pupils in the class. Find the number of pupils who like the Rockers.
- 14M.1.sl.TZ2.3c: π
- 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.
- 14N.1.sl.TZ0.8b: State which polygons from Tuti’s list are elements of (i) A∩B; (ii) ...
- 16N.2.sl.TZ0.2a: Draw a Venn diagram to represent the given information, using sets labelled B, C and...
- 17M.1.sl.TZ1.4a: Write down the number of sporting activities offered by the school during its school year.
- 17M.1.sl.TZ1.4c.i: Write down the elements of the set F∩W′;
- 17M.1.sl.TZ1.4c.ii: Write down n(W∩S).
- 16N.2.sl.TZ0.6f: Using your answer to part (e), find the value of r which minimizes A.
- 17N.1.sl.TZ0.7c: Determine whether the events S and M are independent.
- 18M.1.sl.TZ2.9a.ii: Write down an expression, in set notation, for the shaded region represented by Diagram 2.
- 18M.2.sl.TZ2.1c.i: Find the value of x.
- 18M.2.sl.TZ2.1d: Find the number of employees who, in the last year, did not travel to work by car, bicycle or...
- 10M.1.sl.TZ1.6d: Shade, on your Venn diagram, A′∩Y .
- 10M.1.sl.TZ2.8a: Find P(A∩B).
- 12M.1.sl.TZ2.4c: Explain, in words, the meaning of the part of the diagram that represents the set P∩F′.
- 11M.1.sl.TZ2.1a: Write down the number of elements in A∩C .
- 13M.1.sl.TZ1.2c: Write down n(A∩B).
- 13M.1.sl.TZ1.2a: List the elements of (i) U ; (ii) B .
- SPM.2.sl.TZ0.5b: There were 28 students who used a bus to travel to school. Calculate the number of...
- 08M.1.sl.TZ2.9c: U is the set of positive integers, Z+. E is the set of even...
- 09M.2.sl.TZ1.2ii, b: Find n(R′).
- 10N.1.sl.TZ0.9a.ii: List the elements of the following set. A∩B′
- 14M.1.sl.TZ2.3b: 13
- 14M.1.sl.TZ2.3f: −0.25
- 13N.1.sl.TZ0.2b: List the elements of B.
- 14M.2.sl.TZ1.2a: Draw a Venn diagram to show this information.
- 15M.1.sl.TZ1.8a: Complete the Venn diagram with the numbers written on Aleph’s die (A) and Beth’s die...
- 15M.2.sl.TZ2.1f: The number of customers that like only mangoes is equal to the number of customers that like...
- 15M.2.sl.TZ2.1a: Copy the following Venn diagram and correctly insert all values from the above information.
- 16N.1.sl.TZ0.3b: On the Venn diagram, shade the region A∩(B∪C)′.
- 16N.2.sl.TZ0.2b: Show that x=3.
- 16M.2.sl.TZ1.2c: i) On your Venn diagram, shade the set (F∪M)∩B′ . Do not...
- 18M.1.sl.TZ2.9a.iii: Write down an expression, in set notation, for the shaded region represented by Diagram 3.
- 10M.1.sl.TZ1.6b: Find the value of p.
- 10M.1.sl.TZ2.6b: Find the number of students who like both peanut butter and jam.
- 10N.1.sl.TZ0.9a.i: List the elements of the following set. A
- 12N.2.sl.TZ0.2d: Calculate the number of students who have none of the three.
- 12N.2.sl.TZ0.2b: Write down the number of students that (i) have a computer only; (ii) have an iPhone and a...
- 12M.1.sl.TZ2.4b: Write down the number of students who (i) learn violin only; (ii) learn piano or flute or...
- 09N.2.sl.TZ0.2A, b: Write down the number of students who study Mathematics but not Further Mathematics.
- 09N.2.sl.TZ0.2A, c: Write down the total number of students in the school.
- 09M.2.sl.TZ1.2ii, c: Describe which groups the pupils in the set S∩B like.
- 11M.2.sl.TZ1.2A.a: Draw a Venn Diagram, using sets labelled A , S and P , that shows this information.
- 07N.1.sl.TZ0.2c: 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.
- SPM.2.sl.TZ0.5d: Two students are chosen at random from all 50 students. Find the probability that(i) ...
- 13N.2.sl.TZ0.3d: Write down n((E∪S∪A)′).
- 15M.2.sl.TZ2.1d: The number of customers that like only mangoes is equal to the number of customers that like...
- 16M.2.sl.TZ1.2a: A group of students at Dune Canyon High School were surveyed. They were asked which of the...
- 16M.2.sl.TZ1.2d: A student who was surveyed is chosen at random. Find the probability that (i) the...
- 16M.2.sl.TZ1.2e: Dune Canyon High School has 850 students. Find the expected number of students at Dune...
- 17N.1.sl.TZ0.7a: Complete the Venn diagram for these students.
- 18M.2.sl.TZ2.1b.i: Use the tree diagram to find the probability that an employee encountered traffic and was...
- 18M.2.sl.TZ2.1b.iii: Use the tree diagram to find the probability that an employee encountered traffic given that...
- 10M.1.sl.TZ1.6a: Write down the value of q.
- 10M.1.sl.TZ1.6c: Calculate the number of members of the fitness club who attend neither the aerobics course...
- 10M.1.sl.TZ2.6a: Show this information on the Venn diagram below.
- 10N.2.sl.TZ0.1A.f: Two students are chosen at random. Find the probability that both students had all three...
- 09M.2.sl.TZ1.2ii, e, i: There are 33 pupils in the class. Find x.
- 11M.2.sl.TZ1.2A.e: Find n[(S∪P)∩A′].
- 13M.1.sl.TZ1.2b: Write down the elements of U on the Venn diagram.
- 13M.2.sl.TZ2.1a: Draw a Venn diagram to represent the given information using sets labelled C, M and P....
- 07M.1.sl.TZ0.7a: List the members of sets (i) B (ii) C∩B (iii) B∪C′
- SPM.2.sl.TZ0.5c: Tomoko used a bus to travel to school yesterday. Find the probability that she also walked.
- 07N.1.sl.TZ0.8c: 99 of the students play basketball, 88 sing in the choir and 110 do drama. Calculate the...
- 08N.1.sl.TZ0.9d: Find n[(P∪B)∩C] .
- 08M.1.sl.TZ2.9b: In the Venn diagram below, the number of elements in each region is given. Find...
- 13N.1.sl.TZ0.2c: Complete the Venn diagram with all the elements of U.
- 16N.2.sl.TZ0.2c: Write down the value of n(B∩C).
- 16M.2.sl.TZ1.2b: Calculate the number of students who were surveyed.
- 16M.2.sl.TZ2.1a: 180 people were interviewed and asked what types of transport they had used in the...
- 16M.2.sl.TZ2.1b: Find the number of people who, in the last year, had travelled by (i) bus only; (ii) ...
- 16M.2.sl.TZ2.1c: A person is selected at random from those who were interviewed. Find the probability that...
- 17M.1.sl.TZ1.4d: Write down, in terms of F, W and S, an expression for the set which contains only...
- 17M.1.sl.TZ2.2a: Write down an expression, in terms of x, for the number of children who play only...
- 18M.1.sl.TZ1.10b: Find the value of x.