ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Two taps can fill a cistern in 10 hours and 8 hours respectively. A third tap can empty it in 15 hours. How long will it take to fill the empty cistern, if all of them are opened together?

Mohit can complete a work in 50 days, whereas Anuj can complete the same work in 40 days. Find:
(i) work done by Mohit in 20 days.
(ii) work left after Mohit has worked on it for 20 days.
(iii) time taken by Anuj to complete the remaining work.

Joseph and Peter can complete a work in 20 hours and 25 hours respectively. Find :
(i) work done by both together in 4 hrs.
(ii) work left after both worked together for 4 hrs.
(iii) time taken by Peter to complete the remaining work.

A is able to complete `1/3` of a certain work in 10 hrs and B is able to complete `2/5` of the same work in 12 hrs. Find:

(i) how much work can A do in 1 hour ?
(ii) how much work can B do in 1 hour ?
(iii) in how much time will the work be completed, if both work together.

Shaheed can prepare one wooden chair in 3 days and Shaif can prepare the same chair in 4 days. If they work together, in how many days will they prepare:

(i) one chair?
(ii)14 chairs of the same kind?

A, B and C together finish a work in 4 days. If A alone can finish the same work in 8 days and B in 12 days, find how long will C take to finish the work.

What is the order of rotational symmetry of a rhombus?

Show that the following figure has two lines of symmetry and a rotational.

Show that the following figure has two lines of symmetry and a rotational.

Show that the following figure has two lines of symmetry and a rotational.

Show that the following figure has two lines of symmetry and a rotational.

Name a figure that has a line of symmetry but does not have any rotational symmetry.

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

Draw a map of your classroom using proper scale and symbols for different objects.

Draw a map of your school compound using proper scale and symbols for various features like a playground, main building, garden, etc.

In the map of India, the distance between the two cities is 13.8 cm.
Taking scale: 1 cm = 12 km, find the actual distance between these two cities.