MATHEMATICS (STANDARD)
ANSWER SHEET**
SECTION - A
Question 1: Find the value of x for which 2x - 5 = 1.
Answer: 3
Question 2: Solve the equation 3x + 2 = 7 for x.
Answer: 5/3
Question 3: Find the solution of the equation 2x - 3 = 5.
Answer: 4
Question 4: Simplify the expression 2x + 3 - 4x - 5.
Answer: -2x - 2
Question 5: Factorize the expression x^2 - 9.
Answer: (x + 3)(x - 3)
SECTION - B
Question 6: Find the LCM of 12, 15, and 20.
Answer: 60
Question 7: Simplify the expression (x^2 y^3 / x^3 y)^3.
Answer: x y^6 / x^3
Question 8: Solve the equation 2x^2 + 3x - 5 = 0.
Answer: x = 1, x = -5/2
Question 9: Find the zeroes of the polynomial x^2 - 3x - 10.
Answer: x = 5, x = -2
Question 10: A train travels 360 km in 4 hours. Find its average speed in km/hr.
Answer: 90 km/hr
SECTION - C
Question 11: Draw a line l and mark a point P outside it. Through P, draw two lines m and n parallel to l.
Answer: [Diagram]
Question 12: Construct a triangle ABC in which BC = 4 cm, CA = 6 cm, and AB = 8 cm.
Answer: [Diagram]
Question 13: Find the area of a triangle whose sides are 6 cm, 8 cm, and 10 cm.
Answer: 24 √3 cm^2
Question 14: A shopkeeper buys 100 pens for ₹ 1000. He sells each pen at a profit of ₹ 5. Find his profit in the transaction.
Answer: ₹ 500
Question 15: A sum of money amounts to ₹ 1260 in 2 years at 10% p.a. simple interest. Find the sum.
Answer: ₹ 1000