**Note :**

**Attempt all questions.Show all necessary workings for full credit.**Marks are shown in brackets next to each question.

Section A (Short Answer) (8 marks)

Solve the following equation for x: 2x + 5 = 11 ([2])

Simplify the following expression: 3x + 5y – 2x + y ([2])

Find the HCF (Highest Common Factor) of 12 and 30. ([2])

Find the LCM (Least Common Multiple) of 8 and 12. ([2])

**Section B (Medium Answer) (12 marks)**

A bus travels 200 km in 4 hours. Calculate the speed of the bus in km/h. ([2])

The ratio of the length and breadth of a rectangle is 3:2. If the perimeter of the rectangle is 40 cm, find the length and breadth. ([3])

Construct a right-angled triangle with sides 8 cm, 15 cm, and 17 cm. Label the hypotenuse. ([2])

Solve the following system of linear equations using elimination method:

x + 2y = 5

2x + y = 3 ([3])

**Section C (Long Answer) (10 marks)**

The cost of 5 apples and 3 oranges is Rs. 75. The cost of 2 apples and 4 oranges is Rs. 56. Find the cost of each apple and orange. (Solve using elimination method) ([4])

A rectangular garden has a length of (x + 5) meters and a breadth of (x – 3) meters. If the area of the garden is 48 square meters, find the length and breadth of the garden. ([3])

Simplify the following expression: (x^2 + 3x + 2) รท (x + 1) (Use factoring method) ([3])