File Name: set notation and venn diagram test .zip
In order to get your IA approved, you must include a title and the year, the data on a table, a scatter plot with the correlation coefficient AND the line of best fit drawn, as well as the source website. Have a great spring break!
Venn diagram word problem here is an example on how to solve a venn diagram word problem that involves three intersecting sets. And best of all they all well most come with answers. The probability that both are employed is 0
Every student must participate in at least one activity. Enter the above information on the Venn diagram below. A2 A1 only if 1 error A0 otherwise C2 Venn diagrams continue to be a problem area. Quite a good number of candidates managed to fill in the information on the Venn diagram accurately. However, finding the correct value for x and calculating the number of students in the school posed a big problem for many candidates.
Calculate the number of students x participating in all three activities. Calculate the total number of students in the school. The universal set U is the set of integers from 1 to 20 inclusive. A and B are subsets of U where: A is the set of even numbers between 7 and B is the set of multiples of 3.
List the elements of the following sets: 2c. C2 Part c was reasonably well attempted although some candidates found the intersection instead of the union. List the elements of the following sets: 2d. If they had not shown the set containing the complement of B in the working they could not be awarded the method mark. Accept equivalent forms for numbers.
The results are given below. Find the number of families who own no pets. Most candidates began the paper well by correctly drawing the Venn diagram and answering parts b and c correctly. The Venn diagram shows the numbers of pupils in a school according to whether they study the sciences Physics P , Chemistry C , Biology B. Write down the number of pupils that study Chemistry only. The major error was the omission of the 6 in the candidates calculations.
Perhaps better positioning would have helped in this regard. Write down the number of pupils that study exactly two sciences. Write down the number of pupils that do not study Physics. This question was well attempted by the majority. Shade A B C on the diagram below. They still had problems with part b. In the Venn diagram below, the number of elements in each region is given.
Identifying the correct 5 numbers 3, 4, 5, 6, 9 A1 27 A1 C2 This question proved to be one of the easier questions with a number of candidates able to shade in the required region and finding values in a set. U is the set of positive integers, Z. M is the set of multiples of 3. A1 ft C2 This question proved to be one of the easier questions with a number of candidates able to shade in the required region and finding values in a set.
A common error turned out to be that and were not considered 7 rational numbers. Also, 0 and sin 60 were often placed incorrectly. However, it was encouraging that very few candidates placed values in more than one region.
A Venn diagram is used to illustrate this situation. Write down the value of q. Nearly all candidates gained either 5 or 6 marks with the mark lost in shading the region on the Venn diagram. Find the value of p. This was probably the question that most candidates found the easiest. Calculate the number of members of the fitness club who attend neither the aerobics course A nor the yoga course Y.
Shade, on your Venn diagram, A Y. A1 C1 This was probably the question that most candidates found the easiest. A group of 33 people was asked about the passports they have.
Find the number that have both Australian and British passports or equivalent M1 Note: Award M1 for correct use of all four numbers. However, there was much confusion in candidates responses to part c as many could not determine the required answer where a union was involved with a complement.
Irrespective of ability, the modal mark for this question was four with very few candidates achieving more than this mark. Write down the value of i q ; ii p and of r. Much good work was seen in parts a and b. In the Venn diagram below, set A represents the people in the group with Australian passports and set B those with British passports. Find n a B. List the elements of the following set. A 6, 9, 12 A1 C1 The question was not well answered by the majority of the candidates.
Many did not identify the universal set correctly and so took 3 to be a member of this set. This affected their answers in a i and a ii. The question was not well answered by the majority of the candidates.
Write down one element of A B. Award full marks if all correct elements of A B are listed. Not many students answered b correctly. Some listed all correct elements of the given set instead of just one, which shows that they did not read the question carefully. One of the statements in the table below is false.
Indicate with an X which statement is false. Give a reason for your answer. If the reason is incorrect, both marks are lost. Do not award R0 A1. Although many candidates could indicate which statement in the table in c was false, often they were unable either to identify or articulate a correct reason for it.
U is the set of all the positive integers less than or equal to A, B and C are subsets of U. There was much confusion amongst candidates as to the understanding of the words number of elements. List the elements of B. Part b was done well and many successful attempts were made at completing the Venn diagram in part c. The most common error in the last part of the question was the omission of the element c.
Complete the following Venn diagram with all the elements of U. Award A1 ft for the correct placement of 6, 5, 1 and 3. Award A1 ft for the correct placement of 2, 4, 12, 7, 9, 11, 8. Award A1 ft for the correct placement of Follow through from part b. The most common error in the last part of the question was the omission of the element Draw a Venn diagram to represent this information. Note: Accept answers given as decimals or fractions.
It is of the utmost importance to note that the ambiguity of the or statement will be removed and exclusive or signalled by the phrase either Otherwise, inclusive or must always be assumed. This was somewhat disappointing.
Find the percentage of the population that does not read any of the three newspapers. Accept equivalent expressions, for example or This question was accessible to the great majority of candidates. Use your Venn diagram to decide whether the statement is true. Justify your answer. Follow through from their Venn diagram. The population of Beartown is The local radio station claimed that of the town s citizens read at least two of the local newspapers.
Find the percentage error in this claim. If an error is made in calculating award a maximum of M1 A0 M1 A0 , the final accuracy mark is lost. Accept 1. In a college students were surveyed with the following results have a television have a computer have an iphone 75 have an iphone and a computer 60 have a television and a computer 70 have a television and an iphone 40 have all three. Draw a Venn diagram to show this information. Use T to represent the set of students who have a television, C the set of students who have a computer and I the set of students who have an iphone.
Label U is not essential. Award A1 for central entry A1 for 20, 30 and 35 in the other intersecting regions.
Note that only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content. See page 4 of the DfE document. Diagnostic Questions. Diagnostic questions now has over questions on Mathematics including wonderful collections of examination questions. The site is completely free and promises to remain so. Plenty of help is available to help you learn how to use the site.
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Download a free sample. This resource contains 15 exam-standard questions suitable for Foundation and Higher tier students, in the style of the Edexcel GCSE exam papers. This is a comprehensive set of questions on Venn diagrams and sets. Teachers can use this resource in normal lessons, for revision lessons or for end of topic assessments. An editable Word file is included with the download for teachers to use to create their own assessments tailored to the needs of their students. The resource may be distributed via a secure virtual learning environment, however it must not be made available on any public or insecure website or other platform. The resource may not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must have a separate school network licence.
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Every student must participate in at least one activity. Enter the above information on the Venn diagram below. A2 A1 only if 1 error A0 otherwise C2 Venn diagrams continue to be a problem area.
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