First Midterm Exam Model Questions and Answers STD IX Maths English Medium 

1. The price of a table and 5 chairs is Rs 7000. The price of a table and 2 chairs is Rs 4000

a) What is the price of a chair?

b) What is the price of a table?

2. The sum of two numbers is 19, and their difference is 5. Find the numbers.

3. In the figure, the area of the small square is 2 cm2

a) What is the area of the large square drawn on the diagonal of the small square?

b) What is the side of the larger square?

4. Write the following numbers as the differences of two perfect squares

A 9

B 13

5. In the figure, P is the midpoint of BC, and Q is the midpoint of AP. If the area of triangle BQP 10 cm²,

a) What is the area of triangle ABQ?

6) What is the area of triangle ABP?

c) Find the area of triangle ABC

6. Draw an equilateral triangle of perimeter 10 cm.

Answer

1.Lett be the price of a table and c be the price of a chair. From the question we have, t + 2c = 4000…(1)

t + 5c = 7000 … (2)

a) (2) – (1) -> 3c = 3000

                            c = 1000

Thus, the price of a chair = 1000 rupees

b) (1) -> t + 2 * 1000 = 4000

t = 4000 – 2000 = 2000

Thus, the price of a table = 2000 rupees

2. Let m and n be the numbers. From the question we have,

m + n = 19 … (1)

m – n = 5 (2)

(1) + (2) -> 2m = 24

                          m = 12

(1) -> 12 + n = 19

n = 19 – 12 = 7

Thus, the numbers are 12 and 7.

3. a) Area of the large square = 2x area of the small square = 2 x 2 = 4c cm2

b) Area (side)2

(side)^ 2 = 4 

side √4 = 2cm 

4. a) 9= 25-16

b) 13=49-36

9. a) Area of ∆ ABQ = Area of ∆ BPQ = 10c m ^ 2

b) Area of ∆ABP = Area of∆ ABQ + Area of ∆ BPQ = 10 + 10 = 20cm ^ 2

c) Area of∆ ABC = 2 × Area of ∆ABP

= 2 x 20 = 40cm ^ 2