1(a) List prime numbers in K = \1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\. Find the probability that a number selected from K is not prime. 1(b) Factorize completely (x+y)(2m-n) - m(x+y). 1(c) Calculate the

The set $K = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$. Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
The prime numbers in $K$ are $2, 3, 5, 7, 11$.

The total number of elements in $K$ is 11.
The number of prime numbers in $K$ is 5.
The number of non-prime numbers in $K$ is $11 - 5 = 6$.

The probability is $\boxed{\frac{6}{11}}$.

Factor out the common term $(x+y)$:

Simplify the expression inside the square brackets:

The factorized expression is $\boxed{(x+y)(m-n)}$.

Total sheets typed = 35.
Cost for the first 8 sheets = GH¢ 68.00.
Number of additional sheets = $35 - 8 = 27$ sheets.
Cost per additional sheet = GH¢ 11.00.
Cost for additional sheets = $27 \times \text{GH¢ } 11.00 = \text{GH¢ } 297.00$.
Total amount earned = Cost for first 8 sheets + Cost for additional sheets

The total amount earned is $\boxed{\text{GH¢ } 365.00}$.

To find the image $P'(x', y')$, add the components of the translation vector to the coordinates of $P$.

The image of $P(2, 5)$ is $\boxed{(-1, 13)}$.

Similarly, add the components of the translation vector to the coordinates of $Q$.

The image of $Q(-4, -6)$ is $\boxed{(-7, 2)}$.

Total profit = GH¢ 9,000.00.
Richard's manager's share = $\frac{1}{3} \times \text{GH¢ } 9,000.00 = \text{GH¢ } 3,000.00$.
Remaining profit for distribution = GH¢ $9,000.00 - \text{GH¢ } 3,000.00 = \text{GH¢ } 6,000.00$.
Joyce's contribution = GH¢ 10,000.00.
Richard's contribution = GH¢ 5,000.00.
Ratio of contributions (Joyce : Richard) = $10,000 : 5,000 = 2 : 1$.
Total ratio parts = $2 + 1 = 3$.

• 2(b)(i) Joyce's receipt: Joyce's share from remaining profit = $\frac{2}{3} \times \text{GH¢ } 6,000.00 = \text{GH¢ } 4,000.00$. Joyce received $\boxed{\text{GH¢ } 4,000.00}$.

• 2(b)(ii) Richard's total receipt: Richard's share from remaining profit = $\frac{1}{3} \times \text{GH¢ } 6,000.00 = \text{GH¢ } 2,000.00$. Richard's total receipt = Richard's manager's share + Richard's share from remaining profit

  $$\text{Richard's total receipt} = \text{GH¢ } 3,000.00 + \text{GH¢ } 2,000.00 = \text{GH¢ } 5,000.00$$

  Richard received in total $\boxed{\text{GH¢ } 5,000.00}$.

Original daily wage = GH¢ 25.00.
Increase in wage = $10\%$ of GH¢ $25.00 = 0.10 \times \text{GH¢ } 25.00 = \text{GH¢ } 2.50$.
New daily wage = GH¢ $25.00 + \text{GH¢ } 2.50 = \text{GH¢ } 27.50$.
Number of days worked = 30 days.
Total payment = New daily wage $\times$ Number of days worked

Asana will be paid $\boxed{\text{GH¢ } 825.00}$.

The dimensions of the L-shaped room are:
Outer top length = 8 m
Outer left length = 5 m
Outer right length = 3 m
Inner horizontal length = $8 \text{ m} - 5 \text{ m} = 3$ m
Inner vertical length = $5 \text{ m} - 3 \text{ m} = 2$ m
The perimeter is the sum of all outer side lengths:

The perimeter is $\boxed{26 \text{ m}}$.

Divide the L-shaped room into two rectangles.
Rectangle 1 (top part): $8 \text{ m} \times 3 \text{ m}$. Area$_1 = 8 \times 3 = 24 \text{ m}^2$.
Rectangle 2 (bottom-left part): $5 \text{