ICSE ICSE Class 7 - CISCE Question Bank Solutions

In triangle PQR, angle Q = 90°, find: PQ, if PR = 34 cm and QR = 30 cm

Three persons start a business and spend Rs. 25,000; Rs. 15,000 atid Rs. 40,000 respectively. Find the share of each out of a profit of Rs. 14,400 in a year

A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.

Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm

Two poles of different heights are standing vertically on a horizontal field. At a particular time, the ratio between the lengths of their shadows is 2 :3. If the height of the smaller pole is 7.5 m, find the height of the other pole.

Two numbers are in the ratio 4 : 7. If their L.C.M. is 168, find the numbers.

In the given figure, angle ACB = 90° = angle ACD. If AB = 10 m, BC = 6 cm and AD = 17 cm, find :
(i) AC
(ii) CD

₹ 300 is divided between A and B in such a way that A gets half of B. Find:

1. the ratio between the shares of A and B. 
2. the share of A and the share of B.

In the given figure, angle ADB = 90°, AC = AB = 26 cm and BD = DC. If the length of AD = 24 cm; find the length of BC.

The ratio between two numbers is 5 : 9. Find the numbers, if their H.C.F. is 16.

In the given figure, AD = 13 cm, BC = 12 cm, AB = 3 cm and angle ACD = angle ABC = 90°. Find the length of DC.

A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.

The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.

A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?

Check whether the following quantities form a proportion or not?

3x, 7x, 24 and 56

A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.

Check whether the following quantities form a proportion or not?

0.8, 3, 2.4 and 9

Use the information given in the figure to find the length AD.

Check whether the following quantities form a proportion or not?

`1 1/2, 3 1/4, 4 1/2  "and"  9 3/4`

Check whether the following quantities form a proportion or not?

0.4, 0.5, 2.9 and 3.5