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GCSE Maths > Set notation > Flashcards

Set notation Flashcards

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1
Q

What is a set?

A

A collection of objects or numbers

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2
Q

What are the objects in a Set called?

A

Members or elements of the set

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3
Q

A = {1,2,3,4} means what?

A

Means set A with the elements 1,2,3,4

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4
Q

3 € (only one line) A means what?

A

Means 3 is an element/member of set A

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5
Q

curly E with a little dash on the tail means what?

A

Means the universal set. It is the set containing all elements, everything in the set.

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6
Q

Ø means what?

A

Means the empty set. A set with no elements.

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7
Q

Draw a vein diagram showing what AnB would look like

A

Only cross section is shaded

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8
Q

AnB means what?

A

A intersection B, where the two cross over. Everything that’s A and B

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9
Q

Draw a vent diagram showing AUB

A

Middle and both circles are shaded

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10
Q

What does AUB mean?

A

A union b, everything that’s either A or B

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11
Q

Draw a ven diagram showing A’

A

Middle and A circle aren’t shaded, B and universe is

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12
Q

What does A’ mean?

A

A complement, everything that’s Not A

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13
Q

a) List the elements of the following set: A - the factors of 24
b) true or false: i) 14 € A ii) 6 € A

A

A = {1,2,3,4,6,8,12,24}

I) false II) true

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14
Q

True or false: if set C is the empty set, then 0 € C

A

False, C = {}

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15
Q

Using set notation, list the elements of the set: P-The first four square numbers

A

P={1,4,9,16}

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16
Q

Using set notation, list the elements of the set: M - the first 3 prime numbers

A

M={2,3,5}

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17
Q

Using set notation, list the elements of the set: C-colours of the Union Jack flag

A

C={blue, white, red}

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18
Q

True or false? If T = {factors of 12}then:

a) 4€T
b) 5€T
c) T€2

A

a) true
b) false
c) false: ‘T belongs to set 2’

19
Q

Draw a diagram and shade in AnB’

A

Only A shaded

A (and) intersection Not B

20
Q

Draw a vent diagram showing (A)

A

A and cross section

21
Q

Draw a venn diagram showing (A’)

A

B and outside universe

22
Q

Draw a venn diagram showing AuB

A

A and B

23
Q

Draw a venn diagram showing AuB’

A

Universe, a and cross section

‘A or not B’

24
Q

Draw a venn diagram showing (AuB)’

A

Everything outside of A and B

25
Q

Draw a venn diagram showing (B)

A

B and cross section

26
Q

Draw a venn diagram showing (AnB)

A

Cross section only

27
Q

Draw a venn diagram showing AnB’

A

A only

28
Q

Draw a venn diagram showing A’nB’

A

Everything outside of A and B

29
Q

Draw a venn diagram showing A’nB

A

B only

30
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

A = ?

A

{1,2,3,6,9}

31
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

B=?

A

{2,4,6,8}

32
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

AnB=?

A

{2,6}

33
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

AuB=?

A

{1,2,3,4,6,8,9}

34
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

A’=?

A

{8,5,4,7}

35
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

P(AnB)=?

A

2/9

36
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

P(AuB)=?

A

7/9

37
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

P(B’)=?

A

5/9

38
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

P(A’nB)

A

2/9

39
Q

In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.

P[(AuB)’]=?

A

2/9

40
Q 
Draw a Venn diagram for the information:
Special E (universal)= {1,2,3,4,5,6,7,8,9,10}
A={multiples of 2}
AnB={2,6}
AuB={1,2,3,4,6,8,9,10}

Also work out P(B)

A

P(B) = 5/10 = 1/2

In outer Universe: 5,7
A: 4,8,10
Cross section: 2,6
B: 1,3,9

41
Q

You have a Venn diagram. In Outer Universe is 0.1, A 0.2, cross section 0.3, B 0.4

Find the probability that A given B

A

0.3/0.7=3/7

42
Q

You have a Venn diagram. In Outer Universe is 0.1, A 0.2, cross section 0.3, B 0.4

Find P(B|A)

A

(Probability of B given A)

0.3/0.5=3/5

43
Q 
An insurance company records 200 accident claims. The table shows the speed of the car and weather conditions during the accident
                | wet| dry | total
Speeding | 11 | 21 | 32
Not-speeding | 77 | 91 | 168
Total | 88 | 112 | 200

Find the probability that the car is speeding given that it is wet

A

11/88 = 1/8

44
Q 
An insurance company records 200 accident claims. The table shows the speed of the car and weather conditions during the accident
                | wet| dry | total
Speeding | 11 | 21 | 32
Not-speeding | 77 | 91 | 168
Total | 88 | 112 | 200

Find the probability that the car is not speeding given that it is dry?

A

91/112 = 13/16

GCSE Maths (24 decks)

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