(English Medium) ICSE Class 10 - CISCE Important Questions for Mathematics

Mr. Sameer has a recurring deposit account and deposits ₹ 600 per month for 2 years. If he gets ₹ 15600 at the time of maturity, find the rate of interest earned by him.

How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an income of Rs. 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.

Ashok invested Rs. 26,400 on 12%, Rs. 25 shares of a company. If he receives a dividend of Rs. 2,475. Find the :

1) number of shares he bought

2) The market value of each share

A man invests Rs. 22,500 in Rs. 50 shares available at 10% discount. If the dividend paid by the company is 12%, calculate:

1) The number of shares purchased

2) The annual dividend received.

3) The rate of return he gets on his investment. Give your answer correct to the nearest whole number.

Rohit invested Rs. 9,600 on Rs. 100 shares at Rs. 20 premium paying 8% dividend. Rohit sold the shares when the price rose to Rs 160. He invested the proceeds (excluding dividend) in 10% Rs. 50 shares at Rs. 40. Find the:

1) original number of shares

2) sale proceeds

3) new number of shares

4) change in the two dividends.

Salman invests a sum of money in Rs. 50 shares, paying 15% dividend quoted at 20% premium. If his annual dividend is Rs. 600, calculate:

1) the number of shares he bought.

2) his total investment.

3) the rate of return on his investment.

Salman buys 50 shares of face value Rs. 100 available at Rs. 132.

1. What is his investment?
2. If the dividend is 7.5%, what will be his annual income?
3. If he wants to increase his annual income by Rs. 150, how many extra shares should he buy?

A man invests Rs. 9600 on Rs. 100 shares at Rs. 80. If the company pays him 18%
dividend find:
(1) The number of shares he buys.
(2) His total dividend.
(3) His percentage return on the shares

Mr. Parekh invested Rs. 52,000 on Rs. 100 shares at a discount of Rs. 20 paying 8% dividend. At the end of one year, he sells the shares at a premium of Rs. 20. Find:

1. the annual dividend.
2. the profit earned including his dividend.

Rs. 480 is divided equally among ‘x’ children. If the numbers of children were 20 more then each would have got Rs. 12 less. Find ‘x’.

Vivek invests Rs 4500 in 8%. Rs. 10 shares at Rs. 15. He sells the shares when the price
rises to Rs. 30, and invests the proceeds in 12% Rs. 100 shares at Rs. 125. Calculate.
(1) the sale proceeds
(2) the number of Rs. 125 shares he buys.
(3) the change in his annual income from dividend.

A main invest Rs. 4500 in shares of a company which is paying 7.5% dividend.  If Rs. 100 shares are available at a discount of 10%.
Find :
(i) Number of shares he purchaces.
(ii) His annual income.

Sachin invests Rs. 8500 in 10%, Rs 100 shares at Rs. 170. He sells the shares when the price of each share rises by Rs. 30. He invests the proceeds in 12% Rs. 100 shares at Rs. 125. Find:
(i) the sale proceeds.
(ii) the number of Rs. 125 shares he buys.
(iii) the change in his annual income.

The sum invested to purchase 15 shares of a company of nominal value ₹ 75 available at a discount of 20% is ______.

Mr. Gupta invested ₹ 33000 in buying ₹ 100 shares of a company at 10% premium. The dividend declared by the company is 12%.

Find:

1. the number of shares purchased by him
2. his annual dividend.

The sum of money required to buy 50, ₹ 40 shares at ₹ 38.50 is ______.

A man buys 250, ten-rupee shares each at ₹ 12.50. If the rate of dividend is 7%, find the:

1. dividend he receives annually.
2. percentage return on his investment.

The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm³ = 1l)

`["Assume "pi=22/7]`

Use a graph paper for this question (Take 2 cms = 1 unit on both x and y-axis)

1) Plot the following points:A(0, 4), B(2, 3), C(1, 1) and D(2, 0)

2) Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B’, C’, D’ respectively

3) Join the points A, B, C, D, D’, C’, B’ and A in order, so as to form a closed figure. Write
down the equation of the line of symmetry of the figure formed

A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.