(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

The hypotenuse of a right-angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.

A wire ; 112 cm long is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.

Car A travels ‘x’ km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.

1. Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
2. If car A uses 4 litres of petrol more than car B in covering 400 km. write down an equation, in A and solve it to determine the number of litres of petrol used by car B for the journey.

The speed of a boat in still water is 11 km/ hr. It can go 12 km up-stream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream

By selling an article for Rs. 21, a trader loses as much per cent as the cost price of the article. Find the cost price.

A man spent Rs. 2800 on buying a number of plants priced at Rs x each. Because of the number involved, the supplier reduced the price of each plant by Rupee 1.The man finally paid Rs. 2730 and received 10 more plants. Find x.

Forty years hence, Mr. Pratap’s age will be the square of what it was 32 years ago. Find his present age.

The point (3, 0) is invariant under reflection in:

Naveen deposits ₹ 800 every month in a recurring deposit account for 6 months. If he receives ₹ 4884 at the time of maturity, then the interest he earns is ______.

Salman deposits ₹ 1000 every month in a recurring deposit account for 2 years. If he receives ₹ 26000 on maturity, find:

1. the total interest Salman earns.
2. the rate of interest.

Use graph sheet to Solution this question. Take 2 cm = 1 unit alogn both the axes.

1. Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0)
2. Reflect A and B on the x-axis and name them as E and D respectively.
3. Reflect B through the origion and name it F. Write down the coordinates of F.
4. Reflect B and C on the y-axis and name them as H and G respectively.
5. Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.

Use graph sheet for this question. Take 2 cm = 1 unit along the axes.

1. Plot A(0, 3), B(2, 1) and C(4, –1).
2. Reflect point B and C in y-axis and name their images as B' and C' respectively. Plot and write coordinates of the points B' and C'.
3. Reflect point A in the line BB' and name its images as A'.
4. Plot and write coordinates of point A'.
5. Join the points ABA'B' and give the geometrical name of the closed figure so formed.

Suresh has a recurring deposit account in a bank. He deposits ₹ 2000 per month and the bank pays interest at the rate of 8% per annum. If he gets ₹ 1040 as interest at the time of maturity, find in years total time for which the account was held.

Radha deposited ₹ 400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is ______.

Study the graph and answer each of the following:

1. Write the coordinates of points A, B, C and D.
2. Given that, point C is the image of point A. Name and write the equation of the line of reflection.
3. Write the coordinates of the image of the point D under reflection in y-axis.
4. Whats the name given to a point whose image is the point itself?
5. On joining the points A, B, C, D and A in order, a figure is formed. Name the closed figure.

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.

₹ 900 is deposited every month in a recurring deposit account at 10% rate of interest, the interest earned in 8 months is ______.

A man gets ₹ 1,404 as interest at the end of one year. If the rate of interest is 12% per annum in R.D. account, the monthly instalment is ______.

Manish opened an R.D. account in a bank and deposited ₹ 1,000 per month at the interest of 10% per annum and for 2 years. The total money deposited by him is ______.

₹ 800 per month is deposited in an R.D. account for one and half years. If the depositor gets ₹ 2,280 as interest at the time of maturity, the rate of interest is ______.