Mathematics B 9-1 4MB1: Sets Topical Past Paper Questions

$$ \mathcal{E}=\left\{3,4,5,6,7,8,9,10,11,12\right\} $$ $ A = \{\text{multiples of } 4\} $ $ B = \{ factors of 12 \} $ $ C = \{\text{prime numbers}\} $ (a) Complete the Venn diagram for this information showing the position of each of the numbers in the universal set. (b) Find $…

80 gardeners were asked if they grow potatoes (P), carrots (C) or lettuce (L) Of these gardeners 9 grow potatoes, carrots and lettuce 17 grow potatoes and carrots 23 grow carrots and lettuce 19 grow potatoes and lettuce 48 grow carrots 49 grow lettuce 2 grow none of these three c…

$ \mathcal{E} $ is the universal set and A, B and C are three sets. $$ \begin{array}{l}\mathcal{E}=\{\,p,q,r,s,t,u\,\}\\\boldsymbol{A}=\{\,p,r,t\,\}\\\boldsymbol{B}=\{\,q,r,s\,\}\end{array} $$ (a) List the elements of the set $ A \cap B' $ (1) Given that $ \mathrm{n}(C) = 3 $ $ \…