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])