Wassce Core Mathematics June 2019 Paper 2 Question10(a)

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“Wassce Core Mathematics June 2019 Paper 2 Question10 (a) – Answer” is an e-learning material we have prepared online. This learning resource has been designed to help students to pass their Core Maths WEC exams. I believe you are imagining what our website can offer you? If so, then just wait and see. Read more. about our website and what we offer.

 

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Wassce Core Mathematics June 2019 Paper 2 Question10 (a) – Answer is an e-learning material we have prepared online. This learning resource has been designed to help students to pass their Core Maths WEC exams. I must however, make it known that we may not always provide a pdf download of this wassce past question. This means that WASSCE Core Mathematics past questions and answers may not be available for a direct pdf download. If so, then what does our website offer? Just wait and see. Also, have you had challenges trying to learn, write or pass your WAEC Maths exams? If the answer is yes, then I can assure you that educareguide will help and guide you.  

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Question10 (a) Core Mathematics June 2019 Paper 2 

In a class of 50 students. 24 like football, 21 basketball and 18 cricket. Six like football and basketball only, 3 like basketball only. 5 like all the three. games and 14 did not like any of the three games.

  1. Illustrate this information on a Venn diagram.
  2. Find the number of students who like:
    1. football and cricket only;
    2. exactly one of the games.

The Answer to Wassce Core Mathematics June 2019 Paper 2 Question 10 (a)

 

n(U)= 50 , n(F) = 24, n(B) = 21, n(C) =18,

n(F n B only) = 25, n(B only) = 3, n(F nB nC) = 5, n(F u B u C)’ = 14

Let n(F n C only) = x, n(B nC only) = y n(F only) = m, n(C only) = b

 

(i) The Venn diagram is shown below.

U (50)

 

 

 

 

 

 

(ii) From set B: 6+5+3+y= 21

14+ y = 21

y =7

 

n(C)+m+6+3+14 =50

18+m+6+3+14=50 nz + 41= 50

m =9

 

From set F:

m + 6+5 = 24

9+x+6+5 = 24 x+ 20 = 24 x =4

 

From set C: x+5+ y+n =18.

4+5+7+b=18 b+16=18 b = 2

 

(a) The number of students who like football and cricket only

From the above calculations the answer = 4

(b) The number of students who like Exactly one of the games

= 9+3+2 = 14

 

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