# Model Activity Task Class 10 Mathematics Part 3 with Answer / Solution

Model Activity Task Class 10 Mathematics Part 3, Part 2 & Part 1 | মডেল একটিভিটি ট্যাক্স ক্লাস ১০ ম্যাথ: Download Model Activity Task of Class 10 (Madhyamik) Mathematics of West Bengal Board of Secondary Education (WBBSE) in PDF. Students need to download the Model Activity Task of 10th Class for Mathematics Part 1 & Part 2 and solve the Questions.

Here we have given model activity task question papers from the Banglarshiksha.gov.in. Read the Questions in Bengali and solve those questions.

We will also provide Solution & Answers for these Activity Task Questions and post it here. You can also download the Class 10 Mathematics Model Activity Task from Banglarshiksha Portal in PDF format from the link provided here.

Contents

### Model Activity Task Question Paper for Mathematics Part 1:

(In English)

1. Write the condition for the roots to become equal in the equation ax2 + bx + c = 0, (a, b, c are real, a ≠ 0).
2. The radius of a circle is 10 cm and the length of a chord is 12 cm. Then, calculate the distance  between the chord and centre of the circle.
3. If the ratio of the volumes of two cubes is 1 : 8, then find the ratio of the total surface areas of the two cubes.
4. If the amount of Rs. 400/- for 2 years is 441 then find the annual rate of compound interest.
5. If x, 12, y, 27 are in continued proportion then find the values of x and y
6. AB is a radius of a circle with centre O. C is a point on the circle. If ∠OBC = 60o then find the value of ∠OCA.
7. If each side of a cube increases 50% by length, then what is the percentage increase in total surface area of the cube?
8. Solve:

### Model Activity Task Class 10 Mathematics Part 2:

(In English)

1. Choose the correct answer and write it :

The total interest of a principal in n yrs. at the rate of simple interest of r % per annum is pnr/25, the principal will be

(a) Rs. 2p (b) Rs. 4p (c) Rs. p/2 (d) Rs. p/4.

2. (i) If the height of two right circular cylinders are in the ratio 3 : 4 and perimeters are in the ratio 1 : 2, then find the ratio of their volumes.

2. (ii) AB and AC are two chords of a circle which are perpendicular to each other. If AB = 4 cm. and AC = 3 cm., then find the length of the radius of the circle.

3. If simple interest and compound interest of a certain sum of money for two years are Rs. 8400 and Rs. 8652, then find the sum of money and the rate of interest.

4. If the ratio of two roots of the quadratic equation ax2 + bx + c = 0[ a ≠ ]0 is 1 : r, then show that

5. Prove that if any straight line passing through the centre of a circle bisects any chord, which is not a diameter, then the straight line will be perpendicular on that chord.

6. Height of a right circular cylinder is twice of its radius. If the height would be 6 times of its radius, then the volume of the cylinder would be greater by 539 cubic dcm., find the height of the cylinder.