ICSE ICSE Class 7 - CISCE Question Bank Solutions

Evaluate: `5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))`

If m = -2 and n = 2; find the values of m² + n² - 2mn.

If m² = -2 and n = 2; find the values of: mⁿ + n^m

If m² = -2 and n = 2; find the values of: 6m^-3 + 4n² 

If m² = -2 and n = 2; find the values of: 2n³ – 3m 

A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to complete it together?

A and B working together can do a piece of work in 10 days B alone can do the same work in 15 days. How long will A alone take to do the same work?

A can do a piece of work in 4 days and B can do the same work in 5 days. Find, how much work can be done by them working together in:

1. one day
2. 2 days

What part of work will be left, after they have worked together for 2 days?

A and B take 6 hours and 9 hours respectively to complete a work. A works for 1 hour and then B works for two hours.
(i) How much work is done in these 3 hours?
(ii) How much work is still left?

A, B and C can do a piece of work in 12, 15 and 20 days respectively. How long will they take to do it working together?

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.