Answer the following
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IGCSE Mathematics Worksheet - Venn Diagrams 2
Answer the following
1. Kim collected data on 40 people’s enjoyment of sport.P is the set of people who play sports regularly, and
W is the set of people who watch sports regularly.
3. Jack asked 60 people which sports they liked from rugby, football and cricket.
8 people like all three sports.
17 people like rugby and football.
13 people like football and cricket.
19 people like rugby and cricket.
35 people like football.
27 people like cricket
30 people like rugby.
4. Jenny asked 80 people which sports they enjoy from Football, Hockey and Rugby.
Find the probability of:
(a) How many people enjoy all three sports?
(b) How many people enjoy football and hockey but not rugby?
(c) How many people enjoy football and rugby but not hockey?
(d) Work out which sport is enjoyed by the most number of people.
R = red cars
J = cars manufactured in Japan
32 of the people she asked watch sports regularly.
An incomplete Venn diagram for her data is shown below.
a) Complete the Venn diagram.
b) Work out P(W∪P) for someone picked at random.
c) Work out the probability that someone picked at random watches sports regularly but not play sports regularly
All 50 people like at least one of the drinks
19 people like all three drinks.
16 people like tea and coffee but do not like milk.
21 people like coffee and milk.
24 people like tea and milk.
40 people like coffee.
1 person likes only milk.
Sami selects at random one of the 50 people.
Draw a Venn Diagram and Work out the probability that this person likes tea.
a) Complete the Venn diagram.
b) Work out P(W∪P) for someone picked at random.
c) Work out the probability that someone picked at random watches sports regularly but not play sports regularly
2. Sam asked 50 people which drinks they liked from tea, coffee and milk.
All 50 people like at least one of the drinks
19 people like all three drinks.
16 people like tea and coffee but do not like milk.
21 people like coffee and milk.
24 people like tea and milk.
40 people like coffee.
1 person likes only milk.
Sami selects at random one of the 50 people.
Draw a Venn Diagram and Work out the probability that this person likes tea.
3. Jack asked 60 people which sports they liked from rugby, football and cricket.
8 people like all three sports.
17 people like rugby and football.
13 people like football and cricket.
19 people like rugby and cricket.
35 people like football.
27 people like cricket
30 people like rugby.
Draw a Venn Diagram and Work out the probability that people liked neither rugby or football or cricket?
4. Jenny asked 80 people which sports they enjoy from Football, Hockey and Rugby.
Find the probability of:
(a) How many people enjoy all three sports?
(b) How many people enjoy football and hockey but not rugby?
(c) How many people enjoy football and rugby but not hockey?
(d) Work out which sport is enjoyed by the most number of people.
5. The Venn diagram shows information about the cars in a car park.
ξ = 150 cars in the car parkR = red cars
J = cars manufactured in Japan
A car is chosen at random.
Work out the probability that it is red.
Work out the probability that it is red.
IGCSE Mathematics Worksheet - Differentiation (Calculus) -1
Answer the following
1.
Find the maximum value of A.
2.
(c) State whether the turning point is a maximum or a minimum.
3.
4.
Find the coordinates of the point of y=f(x) where the gradient is 8
5.
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(c) State whether the turning point is a maximum or a minimum.
3.
4.
Find the coordinates of the point of y=f(x) where the gradient is 8
5.
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IGCSE Mathematics Worksheet - Vectors-2
Answer the following
1.
OPQ is a triangle. T is the point on PQ for which PT : TQ = 2 : 1.
= a and = b.
= a and = b.
(a) Write down, in terms of a and b, an expression for .
(b) Express in terms of a and b. Give your answer in its simplest form.
2.
ABCD is a parallelogram. AB is parallel to DC. AD is parallel to BC. = p = q
Express, in terms of p and q
(i)
(ii)
= 2b = 2a = 6a
M is the midpoint of PQ and N is the midpoint of OR.
(a) Find the vector 
in terms of a and b.
in terms of a and b.
X is the midpoint of MN and Y is the midpoint of QR.
(b) Prove that XY is parallel to OR.
4. (a)Express in terms of a and/orb
(i) 
(ii)
X is the midpoint of BC.
(b) Express in terms of a and/or b
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